ðåôåðàòû êîíñïåêòû êóðñîâûå äèïëîìíûå ëåêöèè øïîðû

Ðåôåðàò Êóðñîâàÿ Êîíñïåêò

ÃÅÍÅÒÈÊÀ ×ÅËÎÂÅÊÀ ÒÎÌ 3

ÃÅÍÅÒÈÊÀ ×ÅËÎÂÅÊÀ ÒÎÌ 3 - ðàçäåë Ìåäèöèíà, Áèáëèîãðàôèÿ = Ôîãåëü Ô., Ìîòóëüñêè À. Ãåíåòèêà ×åëîâåê...

ÁÈÁËÈÎÃÐÀÔÈß = Ôîãåëü Ô., Ìîòóëüñêè À. Ãåíåòèêà ÷åëîâåêà:  3-õ ò. Ò. 3: Ïåð. ñ àíãë. – Ì.: Ìèð, 1990. – 366 ñ.

 


 

Ôîãåëü Ô., Ìîòóëüñêè À. Ãåíåòèêà ÷åëîâåêà:  3-õ ò. Ò. 3: Ïåð. ñ àíãë. – Ì.: Ìèð, 1990. – 366 ñ.

ÝËÅÊÒÐÎÍÍÎÅ ÎÃËÀÂËÅÍÈÅ

Ëèòåðàòóðà è Ïðåäìåòíûé óêàçàòåëü íå ðåäàêòèðîâàëèñü

Ïðèìå÷àíèÿ[Þ1] .

 

Φ. ÔÎÃÅËÜ, À. ÌÎÒÓËÜÑÊÈ

Ãåíåòèêà
÷åëîâåêà

Ýâîëþöèÿ ÷åëîâåêà
Ãåíåòèêà ïîâåäåíèÿ
Ïðàêòè÷åñêèå àñïåêòû

ÈÇÄÀÒÅËÜÑÒÂÎ «ÌÈл


Φ. ÔÎÃÅËÜ

à.ìîòóëüñêè Ãåíåòèêà

÷åëîâåêà

Ïðîáëåìû è ïîäõîäû

 3-õ òîìàõ

òîì Ç

Ïåðåâîä ñ àíãëèéñêîãî

êàíä. áèîë. íàóê Ñ. Â. Àãååâà,

Å. ß. Òåòóøêèíà

è êàíä. áèîë. íàóê À. Í. ×åïêîâîé

ïîä ðåäàêöèåé

ä-ðà áèîë. íàóê Þ. Ï. Àëòóõîâà

è ä-ðà áèîë. íàóê Â. Ì. Ãèíäèëèñà

 

 

 

ÌÎÑÊÂÀ «ÌÈл 1990

 

 


ÁÁÊ 28.04

Ô74

ÓÄÊ 575

Ôîãåëü Ô., Ìîòóëüñêè À.

ISBN 5-03-000286-3 Êíèãà äâóõ èçâåñòíûõ ãåíåòèêîâ èç ÔÐà è ÑØÀ ÿâëÿåòñÿ ôóíäàìåíòàëüíûì ó÷åáíèêîì… Â òîìå 3 ðàññìàòðèâàþòñÿ ýâîëþöèÿ ÷åëîâåêà, ãåíåòèêà ïîâåäåíèÿ, ïðàêòè÷åñêîå ïðèìåíåíèå ãåíåòè÷åñêèõ èññëåäîâàíèé â…

Ýâîëþöèÿ ÷åëîâåêà

Ïîïóëÿöèîííàÿ ãåíåòèêà è òåîðèÿ ýâîëþöèè. Çàêîíîìåðíîñòè, îòêðûòûå â ïîïóëÿöèîííîé ãåíåòèêå è â ãåíåòèêå ÷åëîâåêà, ïîìîãàþò ðàçîáðàòüñÿ â âîïðîñàõ… Äàííûå ïàëåîàíòðîïîëîãèè [186; 1976; 1987].  íàñòîÿùåå âðåìÿ ýâîëþöèÿ âûñøèõ… ìåðíî 15-20 ìëí. ëåò íàçàä. Âåòâü, âåäóùàÿ ê ÷åëîâåêó (Homo), îòäåëèëàñü îò ïîïóëÿöèè äðèîïèòåêîâ, ïîðîäèâ ðàìàïèòåêîâ…

Õðîìîñîìíàÿ ýâîëþöèÿ è âèäîîáðàçîâàíèå

8 7. Ýâîëþöèÿ ÷åëîâåêà   Òàáëèöà 7.2. Ýâîëþöèÿ ÷åëîâåêà [1968] Ñðåäíèé… ðè÷åñêèõ õðîìîñîì ãðóïïû D (ðèñ. 7.3). Ó äðóãèõ äâóõ âèäîâ-ãîðèëëû è îðàíãóòàíà-îáíàðóæåíî åùå áîëüøå àêðîöåíòðè÷åñêèõ…

Ýâîëþöèÿ ÷åëîâåêà

Äåòàëüíûé àíàëèç âñåõ âèçóàëüíî îáíàðóæèìûõ ïåðåñòðîåê, ïî êîòîðûì âèäû àíòðîïîèäîâ îòëè÷àþòñÿ äðóã îò äðóãà è îò ÷åëîâåêà, áûë ïðîâåäåí Äþòðèëëî…   Ðèñ. 7.4. Ýâîëþöèîííûå ïðåîáðàçîâàíèÿ -íåñêîëüêî… äðóã ñ äðóãîì. Íà îñíîâå ýòèõ ðåçóëüòàòîâ ìîæíî ðåêîíñòðóèðîâàòü õîä ýâîëþöèè 2-é õðîìîñîìû.

Ýâîëþöèÿ ÷åëîâåêà 13

Íåäàâíî áûëî ïîñòðîåíî ãèïîòåòè÷åñêîå ôèëîãåíåòè÷åñêîå äðåâî ïðèìàòîâ, îòðàæàþùåå âçàèìîñâÿçè øèðîêîãî êðóãà òàêñîíîâ îò ïîëóîáåçüÿí äî ÷åëîâåêà.… Õðîìîñîìíûå ïåðåñòðîéêè â õîäå ýâîëþöèè è â ñîâðåìåííîé ïîïóëÿöèè. Èìååòñÿ… Ìîæåò áûòü âûñîêàÿ ÷àñòîòà öåíòðè-

Ýâîëþöèÿ ÷åëîâåêà 15

öåññû, ÿâëÿåòñÿ, âåðîÿòíî, ïîäðàçäåëåíèå ïîïóëÿöèé íà íåáîëüøèå äåìû. Ýòîò âûâîä ïîëíîñòüþ ñîãëàñóåòñÿ ñ îáñóæäàâøåéñÿ âûøå ãèïîòåçîé.

Ñðàâíåíèå ñàòåëëèòèûõ ÄÍÊ ðàçíûõ âèäîâ âûñøèõ ïðèìàòîâ

Î ñàòåëëèòíîé ÄÍÊ ÷åëîâåêà ãîâîðèëîñü â ðàçä. 2.3.1.2. Ðå÷ü øëà î òîì, ÷òî òåðìèí ñàòåëëèò ïðèìåíÿåòñÿ ïðè îïèñàíèè ðåçóëüòàòîâ öåíòðèôóãèðîâàíèÿ… 16 7. Ýâîëþöèÿ ÷åëîâåêà   Ðèñ. 7.7. Ðàäèîàâòîãðàôû õðîìîñîì ÷åëîâåêà (ìóæ÷èíû) (À) è øèìïàíçå (Á), äåìîíñòðèðóþùèå…

Ýâîëþöèÿ ÷åëîâåêà 17

Ñðàâíåíèå ñ õðîìîñîìíîé ýâîëþöèåé (ðàçä. 7.1.2). Ïîêàçàíî, ÷òî ðàçëè÷èÿ ìåæäó êàðèîòèïàìè Homo è êðóïíûõ ÷åëîâåêîîáðàçíûõ îáåçüÿí ëîêàëèçóþòñÿ â… Âèäîñïåöèôè÷åñêèå ôðàêöèè ñàòåëëèòíîé ÄÍÊ õîðîøî èçâåñòíû íå òîëüêî ó âûñøèõ… 7.2.3 Ýâîëþöèÿ áåëêîâ [1988]

Ýâîëþöèÿ ÷åëîâåêà

     

Ýâîëþöèÿ ÷åëîâåêà 19

îáúÿñíåíèå äàííîãî ôàêòà ñîñòîèò â òîì, ÷òî âñå ýòè ãåíû, à òàêæå ãåí öåïè ìèîãëîáèíà, ïðîèçîøëè îò îäíîé ïðåäêîâîé ïîñëåäîâàòåëüíîñòè. Äëÿ òàêîé… Äóïëèêàöèè ãåíåòè÷åñêîãî ìàòåðèàëà - îòäåëüíûõ ãåíîâ, êîðîòêèõ ó÷àñòêîâ… öèè.  õîäå ýâîëþöèè ìëåêîïèòàþùèõ ïîëèïëîèäèçàöèÿ, ïî-âèäèìîìó, óæå íå ïðîèñõîäèëà [157]; â òî æå âðåìÿ íåáîëüøèå…

Ýâîëþöèÿ ÷åëîâåêà 21

×òîáû ïîíÿòü ýòó ãèïîòåçó, íåîáõîäèìî óÿñíèòü äâà ñëåäóþùèõ ìîìåíòà. 1.  1960-å ãîäû áûëà îáíàðóæåíà ãðîìàäíàÿ ãåíåòè÷åñêàÿ èçìåí÷èâîñòü íà óðîâíå… 2. Êèìóðà ðàçðàáîòàë ìàòåìàòè÷åñêèå äèôôóçèîííûå ìîäåëè, êîòîðûå ïîçâîëÿþò ïîëó÷èòü îòâåò íà âîïðîñ: «Êàêîâà…

Ýâîëþöèÿ ÷åëîâåêà

Ñïðàâåäëèâîñòü è çíà÷åíèå ãèïîòåçû íåéòðàëüíîñòè äëÿ ïîíèìàíèÿ îïðåäåëåííûõ àñïåêòîâ ýâîëþöèè ìîæíî îöåíèòü, âûÿñíèâ, ïîäòâåðæäàþò èëè îïðîâåðãàþò… Êàê óæå îòìå÷àëîñü, îäíî èç âàæíåéøèõ ñëåäñòâèé ãèïîòåçû íåéòðàëüíîñòèýòî… íåéíîé çàâèñèìîñòè: íàïðèìåð, ýâîëþöèÿ áåëêîâ ïðèìàòîâ ïðîòåêàëà ìåäëåííåå, ÷åì îæèäàëîñü íà îñíîâàíèè ãèïîòåçû…

Ýâîëþöèÿ ÷åëîâåêà 23

3) ãèïîòåçà íåéòðàëüíîñòè óòâåðæäàåò, ÷òî ìíîãèå (à âîçìîæíî è áîëüøèíñòâî) ñóùåñòâóþùèå â ñîâðåìåííîé ïîïóëÿöèè ÷åëîâåêà ñèñòåìû ïîëèìîðôèçìà íå… Íà ïåðâûé âçãëÿä êàæåòñÿ, ÷òî ðàñïðåäåëåíèå ðåäêèõ è îáû÷íûõ… 4) ýòà ãèïîòåçà ìîæåò òàêæå îáñóæäàòüñÿ íà ìàòåðèàëå, ïîëó÷åííîì ïðè èçó÷åíèè ÄÍÊ. Íàïðèìåð, çàìåíû îñíîâàíèé, íå …

Ýâîëþöèÿ ÷åëîâåêà 27

Íàì îñòàåòñÿ ñäåëàòü âûâîä, ÷òî ãåíû, âàæíûå äëÿ ýâîëþöèè ÷åëîâåêà â òå÷åíèå ïåðèîäà, êîãäà ïðîèñõîäèëî ïðåîáðàçîâàíèå åãî ìîçãà, ñîâåðøåííî… ÄÍÊ? Ìîæíî ëè ãîâîðèòü î ñïåöèôè÷åñêîì çíà÷åíèè òàêèõ ñîáûòèé äëÿ…

Ïîëèìîðôèçì äëèíû ðåñòðèêöèîííûõ ôðàãìåíòîâ è ýâîëþöèÿ

Î ïðîèñõîæäåíèè ðàçíûõ êîäèðóþùèõ ãåíîâ, ñîäåðæàùèõ èäåíòè÷íûå ïîâòîðÿþùèåñÿ îëèãîìåðíûå ïîñëåäîâàòåëüíîñòè. Îòêðûòèå áîëüøîãî ÷èñëà ñåìåéñòâ…

Ïîâåäåíèå

28 7. Ýâîëþöèÿ ÷åëîâåêà îäíàêî, ïðåäëîæèòü íåñêîëüêî ãèïîòåç îòíîñèòåëüíî ïðèðîäû òåõ ôàêòîðîâ, ïîä… Ñîöèàëüíàÿ ñòðóêòóðà ãðóïï ðàííèõ ïðåäëþäåé è ëþäåé. Âñå âèäû äåÿòåëüíîñòè äðåâíèõ ôîðì ïðåäëþäåé ñëåäóåò…

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32 7. Ýâîëþöèÿ ÷åëîâåêà ëåè, ò.å. æèâóò â óñëîâèÿõ, íå î÷åíü îòëè÷àþùèõñÿ îò òåõ, â êîòîðûõ íà… Ïðîáëåìû, êîòîðûå ìîæíî ðåøèòü â õîäå èçó÷åíèÿ ïåðâîáûòíûõ ïîïóëÿöèé. Èçó÷åíèå ïåðâîáûòíûõ ïîïóëÿöèé ìîæåò äàòü îòâåò…

Ýâîëþöèÿ ÷åëîâåêà 35

Àíàëîãè÷íûå ñðàâíåíèÿ ïðîâåäåíû ïî îñòðîòå çðåíèÿ [1969], îñòðîòå ñëóõà [1970], äåôîðìàöèè ïåðåãîðîäîê íîñà [1972; 1973] è ìàëîãî ñëåçíîãî ïðîòîêà.… 7.3. Ãåíåòè÷åñêèå ðàçëè÷èÿ ìåæäó ãðóïïàìè ñîâðåìåííûõ ëþäåé

Ðàñû

Êëàññèôèêàöèÿ ðàñ. Âñå ëþäè, æèâóùèå â íàñòîÿùåå âðåìÿ, ïðèíàäëåæàò ê îäíîìó âèäó; ëþáûå áðàêè ìåæäó íèìè äàþò ïëîäîâèòûõ ïîòîìêîâ. Ïîëó÷èòü æå äîñòîâåðíûé îòâåò íà âîïðîñ î òîì, áûëè ëè êàêèå-ëèáî äðåâíèå ôîðìû ÷åëîâåêà, íàïðèìåð íåàíäåðòàëüñêèé ÷åëîâåê, ïðåäñòàâèòåëÿìè âèäà Homo sapiens, íåâîçìîæíî. Âèä Homo sapiens ðàçäåëåí íà ïîïóëÿöèè, êîòîðûå îáû÷íî íàçûâàþò ðàñàìè. Ðàñà - ýòî áîëüøàÿ ïîïóëÿöèÿ èíäèâèäîâ, ó êîòîðûõ çíà÷èòåëüíàÿ ÷àñòü ãåíîâ îáùàÿ è êîòîðóþ ìîæíî îòëè÷èòü îò äðóãèõ ðàñ ïî îáùåìó äëÿ íåå ãåíîôîíäó.  äàâíèå âðåìåíà ïðåäñòàâèòåëè îäíîé ðàñû ÷àñòî æèëè âìåñòå â ñõîäíûõ ñîöèîêóëüòóðíûõ óñëîâèÿõ. Ïîíÿòèå «ðàñà» ïåðåêðûâàåòñÿ ñ äðóãèìè ïîíÿòèÿìè, ïðèìåíÿåìûìè äëÿ îáîçíà÷åíèÿ ìåíüøèõ ïî ðàçìåðó ïîïóëÿöèîííûõ åäèíèö, íàïðèìåð ñ ïîíÿòèåì «äåì». Êëàññèôèêàöèÿ è èñòîðèÿ ðàñ ñîñòàâèëè îäíî èç îñíîâíûõ íàïðàâëåíèé èññëåäîâàíèé â îáëàñòè êëàññè÷åñêîé àíòðîïîëîãèè, ïðîâîäèâøèõñÿ â XIX è îñîáåííî â íà÷àëå XX âåêîâ. Ïðåäëàãàâøèåñÿ ðàíåå êëàññèôèêàöèè îñíîâûâàëèñü íà ñîîòâåòñòâóþùèõ çðèòåëüíûõ âïå÷àòëåíèÿõ è íà àíàëèçå ñòàòèñòè÷åñêèõ ðàñïðåäåëåíèé àíòðîïîìåòðè÷åñêèõ ïðèçíàêîâ. Ïî ìåðå ðàçâèòèÿ ãåíåòèêè ÷åëîâåêà äëÿ ýòîãî âñå øèðå ñòàëè èñïîëüçîâàòüñÿ äàííûå î ÷àñòîòàõ ïîëèìîðôíûõ ãåíåòè÷åñêèõ ìàðêåðîâ. Êëàññèôèêàöèè ðàçíûõ àâòîðîâ íåñêîëüêî ðàçëè÷àþòñÿ â äåòàëÿõ [41]; îäíàêî ïîäðàçäåëå-


íèå ÷åëîâå÷åñòâà íà íåãðîèäîâ, ìîíãîëîèäîâ è åâðîïåîèäîâ íå âûçûâàåò íèêàêèõ ñîìíåíèé. Ê ýòèì òðåì áîëüøèì ðàñàì íåðåäêî äîáàâëÿþò äâå ìåíüøèå ãðóïïû, à èìåííî êîéñàíèäîâ èëè êàïîèäîâ (áóøìåíîâ è ãîòòåíòîòîâ) è àâñòðàëîèäîâ (àâñòðàëèéñêèõ àáîðèãåíîâ è íåãðèòîñîâ).

Ãåíåòè÷åñêèå ðàçëè÷èÿ ìåæäó ðàñàìè. Ïðèâåäåííîå çäåñü îïðåäåëåíèå ðàñû ÿâëÿåòñÿ ãåíåòè÷åñêèì, è ïîýòîìó áûëî áû æåëàòåëüíî ïîñòðîèòü ðàñîâóþ êëàññèôèêàöèþ íà îñíîâå ïðèçíàêîâ, õîðîøî èçó÷åííûõ íà ãåííîì óðîâíå. Ìîæíî âûäåëèòü íåñêîëüêî ãðóïï òàêèõ ïðèçíàêîâ.

Ìíîãèå ãåíû ôóíêöèîíèðóþò ó âñåõ ÷åëîâå÷åñêèõ ñóùåñòâ, ïðîÿâëÿÿ, âîçìîæíî, ëèøü íåáîëüøèå êîëè÷åñòâåííûå ðàçëè÷èÿ â óðîâíå ýêñïðåññèè. Íàïðèìåð, ó êàæäîãî ÷åëîâåêà åñòü ãåíû, äåòåðìèíèðóþùèå ñòðóêòóðó ôåðìåíòîâ, íåîáõîäèìûõ äëÿ îñóùåñòâëåíèÿ ìíîæåñòâà îñíîâíûõ ìåòàáîëè÷åñêèõ ïðîöåññîâ. Íåîáû÷íûå èíäèâèäû-íîñèòåëè ðåäêèõ ìóòàöèé, èçìåíèâøèõ ýòè ãåíû, ñòðàäàþò îò âðîæäåííûõ îøèáîê ìåòàáîëèçìà. Ìíîãèå ãåíû, ïðèíàäëåæàùèå ýòîé ãðóïïå, èìåþòñÿ è ó äðóãèõ æèâûõ ñóùåñòâ.

Åñòü ïðèçíàêè è, ñëåäîâàòåëüíî, äåòåðìèíèðóþùèå èõ ãåíû, îáùèå äëÿ âñåõ èëè ïî÷òè äëÿ âñåõ ïðåäñòàâèòåëåé êàêîé-òî îäíîé ðàñû; ó èíäèâèäîâ èíûõ ðàñ îíè îòñóòñòâóþò. ×èñëî òàêèõ ïðèçíàêîâ, ïîâèäèìîìó, î÷åíü íåâåëèêî; ñ ãåíåòè÷åñêîé òî÷êè çðåíèÿ îíè îõàðàêòåðèçîâàíû ïëîõî. Îäèí èç ïðèìåðîâ ïðèçíàêîâ òàêîãî ðîäàâåðòèêàëüíàÿ ñêëàäêà âåðõíåãî âåêà ó ìîíãîëîèäîâ.

Ê òðåòüåé ãðóïïå ïðèçíàêîâ ñëåäóåò îòíåñòè òàêèå, êîòîðûå âñòðå÷àþòñÿ òîëüêî ó îäíîé èç òðåõ îñíîâíûõ ðàñ, à ó ïðåäñòàâèòåëåé äâóõ îñòàëüíûõ îòñóòñòâóþò. Ýòà ãðóïïà âêëþ÷àåò áîëüøîå ÷èñëî ìàðêåðîâ ãåíîâ, ñîñòàâëÿþùèõ ìíîæåñòâî õîðîøî îõàðàêòåðèçîâàííûõ ñèñòåì ãåíåòè÷åñêîãî ïîëèìîðôèçìà (òàáë. 7.5). Îäèí èç òàêèõ ïðèçíàêîâ-âûÿâëÿåìûé ïðè àíàëèçå êðîâè ôàêòîð Äèåãî [1944-1946]. Ýòà ãðóïïà êðîâè áûëà îáíàðóæåíà â 1953 ã. ó ïðåäñòàâèòåëåé ÷åòûðåõ ïîêîëåíèé îäíîé âåíåñóýëüñêîé ñåìüè; ïðè ýòîì áûëî ïîêàçàíî, ÷òî ó áîëüøèíñòâà áåëûõ ëþäåé ôàêòîð


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Ýâîëþöèÿ ÷åëîâåêà 39

ïåðâîáûòíûõ óñëîâèÿõ æèçíè â ïîïóëÿöèè, ïîäâåðãàþùåéñÿ âîçäåéñòâèþ áîëüøîãî ÷èñëà ïàòîãåííûõ ìèêðîîðãàíèçìîâ è ïàðàçèòîâ, ìàëÿðèéíàÿ èíôåêöèÿ ìîæåò… Îòêðûòèå òîãî ôàêòà, ÷òî ãðóïïà êðîâè Äàôôè (Duffy) èìååò îòíîøåíèå ê… Íåäàâíî áûëà ðàçðàáîòàíà àëüòåðíàòèâíàÿ ãèïîòåçà [1817]. Ñîãëàñíî åé, ïðåäñóùåñòâóþùèå âûñîêèå ÷àñòîòû…

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ëÿÿ îáû÷íî ìåíåå 10% àêòèâíîñòè ýòîãî ôåðìåíòà ó íîâîðîæäåííîãî. Åùå íåñêîëüêî ëåò íàçàä ñóùåñòâîâàëî ïðåäñòàâëåíèå, ÷òî ó ëþäåé «â íîðìå»… Íàðóøåíèå âñàñûâàíèÿ ëàêòîçû [1924] Ó ëèö ñ íèçêîé ëàêòàçíîé àêòèâíîñòüþ ïîñëå óïîòðåáëåíèÿ ìîëîêà óâåëè÷åíèÿ ãëþêîçû…

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Ìåæðàñîâûå áðàêè íà Ãàâàéÿõ [1955]. Êàêîâû ãåíåòè÷åñêèå ïîñëåäñòâèÿ ñìåøåíèÿ ðàñ?  òå âðåìåíà, êîãäà áèîëîãè åùå íå îâëàäåëè ïîïóëÿöèîííûì… Ñîãëàñíî äðóãîé êîíöåïöèè, ïðè ñìåøåíèè ðàñ äîëæåí íàáëþäàòüñÿ ãåòåðîçèñ, ò.å.… Ãàâàéñêèå îñòðîâà çàñåëåíû â îñíîâíîì ïîëèíåçèéöàìè, åâðîïåéöàìè, êèòàéöàìè è ÿïîíöàìè. Êðîìå òîãî, òàì ïðîæèâàþò…

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Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 49

Èññëåäîâàíèÿ íà íàñåêîìûõ

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Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 53

ðàçíûå ìåòîäû. Ê ñîæàëåíèþ, ñðåäè íèõ ïî÷òè íåò òåõ, êîòîðûå ïðèìåíÿþòñÿ íà äðîçîôèëå: â áîëüøèíñòâå ñâîåì îíè íåïðèãîäíû. Îáùèé âûâîä òàêîâ: èçìåí÷èâîñòü ïîâåäåíèÿ, êàê è äðóãèå ñîñòàâëÿþùèå…

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Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 55

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Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 61

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Ïåðåîöåíêà êëàññè÷åñêèõ ìåòîäîâ (ñì. òàêæå ãë. 3)

Ñåìåéíûå èññëåäîâàíèÿ. Ñàìûé ïðîñòîé è ïðÿìîé ïîäõîä ê îöåíêå ãåííîãî âêëàäà â èçìåí÷èâîñòü îïðåäåëåííîãî ïðèçíàêà çàêëþ÷àåòñÿ â ñðàâíåíèè ïî ýòîìó ïðèçíàêó áèîëîãè÷åñêè ðîäñòâåííûõ èíäèâèäîâ. Åñëè àëüòåðíàòèâíûå ïðèçíàêè, ïðîÿâëÿþùèåñÿ ïî çàêîíó «âñå èëè íè÷åãî», îïðåäåëÿþòñÿ ãåíåòè÷åñêè, îíè áóäóò ÷àùå âñòðå÷àòüñÿ ñðåäè ðîäñòâåííèêîâ. Ñ óâåëè÷åíèåì ñòåïåíè áèîëîãè÷åñêîãî ðîäñòâà ÷àñòîòà áóäåò âîçðàñòàòü. Òàêèìè àëüòåðíàòèâíûìè õàðàêòåðèñòèêàìè ÿâëÿþòñÿ ðàçëè÷íûå çàáîëåâàíèÿ è îáùåå çäîðîâüå, êàê èõ ïðîòèâîïîëîæíîñòü, èëè óìñòâåííàÿ îòñòàëîñòü è íîðìàëüíûé èíòåëëåêò. Åñëè ïðèçíàê îïðåäåëÿåòñÿ êîëè÷åñòâåííûì îáðàçîì, ìîæíî îæèäàòü, ÷òî ñõîäñòâî ìåæäó ðîäñòâåííèêàìè áóäåò ðàñòè ñ óâåëè÷åíèåì ñòåïåíè ðîäñòâà. Îäíà èç öåëåé áèîìåòðè÷åñêîãî èññëåäîâàíèÿ ñîñòîèò â òîì, ÷òîáû óñòàíîâèòü âåðîÿòíîñòü ðàçâèòèÿ òîãî æå ñîñòîÿíèÿ ó ðîäñòâåííèêîâ ïðîáàíäà. Ðàñ÷åò ýìïèðè÷åñêèõ îöåíîê ðèñêà áûë ïðèâåäåí â ðàçä. 3.3.6 íà ïðèìåðå øèçîôðåíèè.

Ïî êîëè÷åñòâåííûì ïðèçíàêàì ñõîäñòâî ìåæäó ðîäñòâåííèêàìè îáû÷íî âûðàæàåòñÿ è èçìåðÿåòñÿ ñ ïîìîùüþ êîýôôèöèåíòîâ êîððåëÿöèè. Àíàëèç â ýòîì ñëó÷àå íå òðåáóåò êàêîé-ëèáî ãåíåòè÷åñêîé êîí-


62 8. Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà


öåïöèè. Êîíöåïòóàëüíûå òðóäíîñòè íà÷èíàþòñÿ, êîãäà ìû ïûòàåìñÿ èíòåðïðåòèðîâàòü ýìïèðè÷åñêèå îöåíêè ðèñêà èëè êîððåëÿöèè ìåæäó ðîäñòâåííèêàìè ñ òî÷êè çðåíèÿ ãåíåòè÷åñêîé èçìåí÷èâîñòè. Òåîðåòè÷åñêè ìîæíî âûâåñòè íåêîòîðûå êîýôôèöèåíòû êîððåëÿöèè èç ïðåäïîëîæåíèé îòíîñèòåëüíî ñòåïåíè ðîäñòâà ìåæäó äâóìÿ ëèöàìè è ñòåïåíè äîìèíèðîâàíèÿ ñîîòâåòñòâóþùèõ ãåíîâ. Òàêèå ðàñ÷åòû ìîæíî ïîòîì ñðàâíèòü ñ ýìïèðè÷åñêèìè äàííûìè, è íà îñíîâàíèè ýòîãî ñðàâíåíèÿ îöåíèòü «íàñëåäóåìîñòü», ò.å. äîëþ èçìåí÷èâîñòè, îïðåäåëÿåìóþ ãåíàìè. Ïîíÿòèå íàñëåäóåìîñòè è ñïîñîáû åå ðàñ÷åòà, à òàêæå ñîïóòñòâóþùèå òàêèì ðàñ÷åòàì äîïóùåíèÿ áûëè îïèñàíû â ðàçä. 3.6.1.

Ðàññ÷èòàòü íàñëåäóåìîñòü ìîæíî è äëÿ àëüòåðíàòèâíî èçìåíÿþùèõñÿ ïðèçíàêîâ, íàïðèìåð äëÿ çàáîëåâàíèé. Äëÿ ýòîãî íåîáõîäèìû ñâåäåíèÿ î ðàñïðîñòðàíåííîñòè èññëåäóåìîãî ïðèçíàêà ñðåäè ðîäñòâåííèêîâ è íàñåëåíèÿ â öåëîì. Îòíîñèòåëüíî áèîëîãè÷åñêîãî çíà÷åíèÿ òàêîãî ðàñ÷åòà ñóùåñòâóåò ðÿä ãèïîòåç. Ïëîõî òî, ÷òî áîëüøèíñòâî èç íèõ íå ïîääàåòñÿ ïðîâåðêå ïî ýìïèðè÷åñêèì äàííûì. Ýòà ïðîáëåìà îáñóæäàëàñü â ðàçä. 3.6.2.

Îäíî èç âîçðàæåíèé ïðîòèâ òàêèõ ðàñ÷åòîâ ïðèõîäèò íà óì ñðàçó æå.  áîëüøèíñòâå ñëó÷àåâ ðîäñòâåííèêè íå òîëüêî èìåþò îáùèå ãåíû, íî è æèâóò â ñõîäíûõ óñëîâèÿõ. Îäíàêî ïðè îöåíêå íàñëåäóåìîñòè ïðåäïîëàãàåòñÿ, ÷òî ãåíåòè÷åñêèé è ñðåäîâîé êîìïîíåíòû èçìåí÷èâîñòè íåçàâèñèìû. Ïîïûòêè ñêîððåêòèðîâàòü ýòî ñìåùåíèå ââåäåíèåì îöåíîê ïàðàìåòðîâ ñðåäû, êîòîðûå ìîæíî ñ÷èòàòü ñóùåñòâåííûìè äëÿ èññëåäóåìîãî ïðèçíàêà, èìåþò ñîìíèòåëüíóþ öåííîñòü. Êëàññè÷åñêèé ñïîñîá ïðåîäîëåíèÿ ýòîé òðóäíîñòè ñîñòîèò â ñîïîñòàâëåíèè ìîíîçèãîòíûõ è äèçèãîòíûõ áëèçíåöîâ.

Áëèçíåöîâûé ìåòîä (ñì. òàêæå ðàçä. 3.8). Ìîíîçèãîòíûå áëèçíåöû (ÌÇ), êàê ïðàâèëî, ãåíåòè÷åñêè èäåíòè÷íû. Ñëåäîâàòåëüíî, îáíàðóæèâàåìûå ìåæäó íèìè ðàçëè÷èÿ íå äîëæíû áûòü ñâÿçàíû ñ ãåíàìè. Äèçèãîòíûå áëèçíåöû (ÄÇ) ãåíåòè÷åñêè ñõîäíû íå áîëåå, ÷åì íîðìàëüíûå ñèáñû. Îäíàêî, êàê è ÌÇ, îíè îáû÷íî âîñïèòû-


âàþòñÿ âìåñòå, è, ñëåäîâàòåëüíî, âíåøíÿÿ ñðåäà â ïåðâîì ïðèáëèæåíèè îêàçûâàåò íà íèõ îäèíàêîâîå âëèÿíèå. Âîò ïî÷åìó, åñëè ÌÇ áîëåå ñõîäíû, ÷åì ÄÇ ïî êîëè÷åñòâåííî èçìåíÿþùåìóñÿ ïðèçíàêó, èëè ÷àùå êîíêîðäàíòíû ïî àëüòåðíàòèâíî èçìåíÿþùåìóñÿ ïðèçíàêó, ìîæíî ïðåäïîëîæèòü íàëè÷èå ãåíåòè÷åñêîé êîìïîíåíòû â åãî èçìåí÷èâîñòè. Íà ýòî ïðåäïîëîæåíèå íàëàãàåòñÿ ðÿä îãðàíè÷åíèé, âûòåêàþùèõ èç òîãî, ÷òî áëèçíåöû (îñîáåííî ÌÇ) âî ìíîãèõ îòíîøåíèÿõ íå ÿâëÿþòñÿ ñëó÷àéíîé âûáîðêîé èç ïîïóëÿöèè. Ýòè ïðîáëåìû ìû ïîäðîáíî ðàññìàòðèâàëè â ðàçä. 3.8.4. Äëÿ ïëàíèðîâàíèÿ èññëåäîâàíèé â îáëàñòè ãåíåòèêè ïîâåäåíèÿ íåîáõîäèìî ïîìíèòü î òîì, ÷òî îñîáàÿ áëèçíåöîâàÿ ñèòóàöèÿ âåäåò ê îïðåäåëåííûì îòêëîíåíèÿì îò ñðåäíåãî ðàçâèòèÿ, îñîáåííî â äåòñòâå è þíîñòè.  öåëîì, ðàçëè÷èÿ îêðóæàþùåé ñðåäû, âëèÿíèå êîòîðûõ èñïûòûâàþò áëèçíåöû, à òàêæå â íåñêîëüêî ìåíüøåé ñòåïåíè äðóãèå ñèáñû, âðÿä ëè ìîæíî ðàññìàòðèâàòü â êà÷åñòâå ðåïðåçåíòàòèâíûõ ïî îòíîøåíèþ ê ñîîòâåòñòâóþùèì ðàçëè÷èÿì äëÿ âñåé ïîïóëÿöèè. Îáû÷íî äëÿ ðîäñòâåííèêîâ òàêèå ðàçëè÷èÿ íàìíîãî ìåíüøå.

ÌÇ áëèçíåöû, âîñïèòûâàþùèåñÿ âðîçü: èññëåäîâàíèÿ íà óñûíîâëåííûõ è ïðèåìíûõ äåòÿõ [152; 2119]. Äëÿ ïðåîäîëåíèÿ ýòèõ òðóäíîñòåé â ãåíåòèêå ïîâåäåíèÿ ñóùåñòâóþò äâà ïîäõîäà: ïåðâûé-ñðàâíåíèå ÌÇ áëèçíåöîâ, êîòîðûå áûëè ðàçäåëåíû â ìëàäåí÷åñòâå èëè ðàííåì ïåðèîäå äåòñòâà è âîñïèòûâàëèñü ðàçäåëüíî. Òåîðåòè÷åñêè â òàêîé ñèòóàöèè âëèÿíèå, îáóñëîâëåííîå îáùåé ñðåäîé è âçàèìîäåéñòâèåì ìåæäó áëèçíåöàìè, óñòðàíÿåòñÿ íàèáîëåå ýëåãàíòíûì ñïîñîáîì. Âòîðîé-ñðàâíåíèå óñûíîâëåííûõ äåòåé (èëè äåòåé, æèâóùèõ â äîìå ïðèåìíûõ ðîäèòåëåé) ñ èõ áèîëîãè÷åñêèìè ðîäèòåëÿìè; â ýòîì ñëó÷àå óñòðàíÿþòñÿ îáû÷íî äåéñòâóþùèå íà ðîäèòåëåé è èõ äåòåé îáùèå ôàêòîðû ñðåäû è âçàèìîîòíîøåíèå ðîäèòåëü-ðåáåíîê ñâîäèòñÿ ê áèîëîãè÷åñêèì êîìïîíåíòàì. Âëèÿíèå îáùåãî îêðóæåíèÿ èñêëþ÷àåòñÿ.

Ê ñîæàëåíèþ, ðåàëüíûå ñèòóàöèè íåñêîëüêî îòëè÷àþòñÿ îò òåîðåòè÷åñêèõ. Ðàçìåùåíèå ðàçäåëåííûõ áëèçíåöîâ èëè óñûíîâëÿåìûõ äåòåé íèêîãäà íå ïðîèñõî-


8. Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 63


äàò ñëó÷àéíûì îáðàçîì: îíî îáû÷íî ïðîâîäèòñÿ ñîöèàëüíûìè ñëóæáàìè ñ ó÷åòîì ñîöèîýêîíîìè÷åñêîãî ñòàòóñà è ïîâåäåí÷åñêèõ õàðàêòåðèñòèê. Ïàðû, óñûíîâëÿþùèå äåòåé, íå ÿâëÿþòñÿ òèïè÷íûìè ïðåäñòàâèòåëÿìè âñåõ ñåìåéíûõ ïàð. Êðîìå òîãî, â äîìàõ ïðèåìíûõ ðîäèòåëåé óñëîâèÿ æèçíè ìîãóò îòêëîíÿòüñÿ îò íîðìàëüíûõ.

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Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 125

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Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà 135


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Ïðàêòè÷åñêèå àñïåêòû ãåíåòèêè ÷åëîâåêà 177

Òàêèì îáðàçîì, â ïîïóëÿöèÿõ èíäóñòðèàëüíûõ ñòðàí Åâðîïû è â ÑØÀ, ãäå áðàêè çàêëþ÷àþòñÿ ñëó÷àéíûì îáðàçîì, ìîæíî îæèäàòü î÷åíü ìåäëåííîãî óâåëè÷åíèÿ… Ñîâîêóïíîñòü âñåõ äàííûõ ïî ÷åòêî îïðåäåëåííûì ãåíåòè÷åñêèì àíîìàëèÿì, òà- … êèì, êàê õðîìîñîìíûå àáåððàöèè, äîìèíàíòíûå è Õ-ñöåïëåííûå áîëåçíè è àóòîñîìíî-ðåöåññèâíûå çàáîëåâàíèÿ, ïîçâîëÿåò íàì…

Ïðèëîæåíèå 1

Ìåòîäû ïîäñ÷åòà ãåííûõ ÷àñòîò


 ýòîé êíèãå ðàññìàòðèâàþòñÿ ëèøü îñíîâíûå ïðèíöèïû ïîäñ÷åòà ÷àñòîò ãåíîâ (ðàçä. 3.2). Áîëåå ïîäðîáíî ýòè âîïðîñû èçëîæåíû â ðàáîòàõ Ðýéñà è Ñýíãåðà [166], Ìóðàíòà [144] è äðóãèõ. Ìû íà÷íåì ñ ïðîñòåéøåãî ïðèìåðà.
Îäíà ïàðà àëëåëåé: âñå òðè ãåíîòèïà èìåþò ðàçíîå ôåíîòèïè÷åñêîå âûðàæåíèå.  ýòîì ñëó÷àå ìîæíî èäåíòèôèöèðîâàòü êàæäûé îòäåëüíûé àëëåëü (Ì èëè N), è ÷àñòîòà ãåíà ïîäñ÷èòûâàåòñÿ ïðÿìî.  êà÷åñòâå ïðèìåðà ìîæíî ïðèâåñòè èçîàíòèãåíû ãðóïïû êðîâè MN:
Ãåííûå ÷àñòîòû p è q èñïîëüçóþò äëÿ òåñòèðîâàíèÿ ñîîòâåòñòâèÿ íàáëþäàåìûõ ôåíîòèïè÷åñêèõ ÷àñòîò èõ îæèäàåìûì çíà÷åíèÿì ïî çàêîíó Õàðäè-Âàéíáåðãà. Ïðèìåíÿÿ ñëåäóþùóþ ôîðìóëó, ìîæíî èçáåæàòü âû÷èñëåíèÿ îæèäàåìûõ çíà÷åíèé
Ýòîò ìåòîä ïîäñ÷åòà ïðèãîäåí è â òîì ñëó÷àå, êîãäà èìååòñÿ áîëüøå äâóõ àëëåëåé è êàæäîìó ãåíîòèïó ñîîòâåòñòâóåò îïðåäåëåííûé ôåíîòèï; íàïðèìåð, äëÿ ïîëèìîðôíûõ âàðèàíòîâ êèñëûõ ôîñôàòàç ýðèòðîöèòîâ.
Îäíà ïàðà àëëåëåé: ïî ôåíîòèïó ìîæíî îïðåäåëèòü òîëüêî äâà ðàçíûõ ãåíîòèïà.

 

Ïðîáëåìà óñëîæíÿåòñÿ, åñëè îäèí èç äâóõ àëëåëåé äîìèíèðóåò, ò.å. ãåòåðîçèãîòà ôåíîòèïè÷åñêè ñîâïàäàåò ñ îäíîé èç ãîìîçèãîò.  ýòîì ñëó÷àå ïî ÷àñòîòå ðåöåññèâíûõ ãîìîçèãîò ìîæíî ñóäèòü î ÷àñòîòå ñîîòâåòñòâóþùåãî ãåíà. ×àñòîòà ãîìîçèãîò ñîñòàâëÿåò q2. Ïðèìåðîì ìîæåò ñëóæèòü ãðóïïà êðîâè Äèåãî (Diego) (ðàçä. 7.3.1). Ó àìåðèêàíñêèõ èíäåéöåâ è â ìîíãîëîèäíûõ ïîïóëÿöèÿõ èìåþòñÿ äâà ôåíîòèïè÷åñêèõ êëàññà: îáíàðóæèâàþùèå ïîëîæèòåëüíóþ ðåàêöèþ àããëþòèíàöèè ñ ñûâîðîòêîé àíòè-Di3 è íåîáíàðóæèâàþùèå òàêîâîé. Ñåìåéíûå èññëåäîâàíèÿ ïîêàçàëè, ÷òî îòðèöàòåëüíûé òèï ðåàêöèè ÿâëÿåòñÿ ðåöåññèâíûì ïðèçíàêîì
 ýòîì ñëó÷àå íå îñòàåòñÿ íè îäíîé ñòåïåíè ñâîáîäû äëÿ òåñòèðîâàíèÿ ðàâíîâåñèÿ Õàðäè-Âàéíáåðãà. Åñëè èìååòñÿ àíòè-Dib ñûâîðîòêà, òî ìîæíî èäåíòèôèöèðîâàòü ãåòåðîçèãîò è âû÷èñëèòü ÷àñòîòó ãåíà òåì æå ñïîñîáîì, ÷òî áûë îïèñàí âûøå äëÿ ãðóïï êðîâè MN.
Áîëåå äâóõ àëëåëåé: íå âñå ãåíîòèïû ìîæíî ðàçëè÷èòü ïî ôåíîòèïó. Ñïåöèàëüíûé ñëó÷àé ãðóïï êðîâè ÀÂ0 óæå îáñóæäàëñÿ â ðàçä. 3.2.2.
Ìåòîä ïîäñ÷åòà, îñíîâàííûé íà ïðèíöèïå ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ. Ìû ñòàëêèâàåìñÿ ñ îáùåé ïðîáëåìîé îöåíêè àïðèîðíî íåèçâåñòíîãî ïàðàìåòðà ïî ýìïèðè÷åñêèì äàííûì. Ñîãëàñíî Ôèøåðó, îöåíêà äîëæíà óäîâëåòâîðÿòü ñëåäóþùèì óñëîâèÿì:

Ïðèëîæåíèå 1


à) îíà äîëæíà áûòü ñîñòîÿòåëüíîé. Ýòî îçíà÷àåò, ÷òî ñ óâåëè÷åíèåì ÷èñëà íàáëþäåíèé îöåíêà ñõîäèòñÿ ñòîõàñòè÷åñêè (ïî âåðîÿòíîñòè) ê ïàðàìåòðó;
á) îöåíêà äîëæíà áûòü äîñòàòî÷íîé. Ýòî îçíà÷àåò, ÷òî èç èìåþùèõñÿ äàííûõ íåëüçÿ èçâëå÷ü äîïîëíèòåëüíîå çíàíèå î ïàðàìåòðå ñ ïîìîùüþ âû÷èñëåíèÿ äðóãèõ ñòàòèñòèê;
â) îöåíêà äîëæíà áûòü ýôôåêòèâíîé, ò. å. èçâëåêàòü èç äàííûõ ìàêñèìàëüíî âîçìîæíîå êîëè÷åñòâî èíôîðìàöèè. Äèñïåðñèÿ äîëæíà áûòü ìèíèìàëüíîé.
Îáû÷íî ïðîáëåìà îöåíêè ëó÷øå âñåãî ðåøàåòñÿ íà îñíîâå ïðèíöèïà ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ, ïðåäëîæåííîãî Ôèøåðîì. Ðàññìîòðèì ñíà÷àëà ïðîñòîé ïðèìåð.
Âåðîÿòíîñòü íàñòóïëåíèÿ n1 ñîáûòèé, êàæäîå èç êîòîðûõ èìååò âåðîÿòíîñòü ð, è n — n1 ñîáûòèé, êàæäîå èç êîòîðûõ èìååò âåðîÿòíîñòü 1 — ð, â ñîîòâåòñòâèè ñ áèíîìèàëüíûì ðàñïðåäåëåíèåì ðàâíà
×òîáû íàéòè çíà÷åíèå ð, äëÿ êîòîðîãî ýòà âåðîÿòíîñòü ìàêñèìàëüíà, ñëåäóåò ïðèðàâíÿòü íóëþ ïåðâóþ ïðîèçâîäíóþ L ïî ð. Äëÿ óäîáñòâà âìåñòî L îáû÷íî ìàêñèìèçèðóþò åå ëîãàðèôì
Ñëåäîâàòåëüíî, ð = n1/n - ðåçóëüòàò, êîòîðûé èíòóèòèâíî î÷åâèäåí. Ýòî îçíà÷àåò, ÷òî n1 = ïð, ò. å. äëÿ áèíîìèàëüíîãî ðàñïðåäåëåíèÿ íàèáîëåå âåðîÿòíîå çíà÷åíèå ïàðàìåòðà åñòü òàêîå, äëÿ êîòîðîãî îæèäàåìîå çíà÷åíèå ñîâïàäàåò ñ íàáëþäàåìûì. Ïðèâåäåì áåç âûâîäà ôîðìóëó äëÿ äèñïåðñèè (â ñëó÷àå áîëüøèõ âûáîðîê) ýòîé îöåíêè ïàðàìåòðà ð, êîòîðàÿ ïîëó÷àåòñÿ ïîäñòàíîâêîé îöåíêè ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ ïàðàìåòðà ð â âûðàæåíèå äëÿ

 

îòðèöàòåëüíîé îáðàòíîé âòîðîé ïðîèçâîäíîé L ïî p.  íàøåì ñëó÷àå
Ýòî âûðàæåíèå äëÿ s2 ìîæíî ïîëó÷èòü áîëåå óäîáíûì ñïîñîáîì. Ïîäñòàíîâêà ð = n1/n è 1 — ð = (ï — ï1)/ï â îáùóþ ôîðìóëó äëÿ äèñïåðñèè áèíîìèàëüíîãî ðàñïðåäåëåíèÿ V=p(l — ð)/ï äàåò òîò æå ñàìûé ðåçóëüòàò.
Ðàññìîòðèì òåïåðü áîëåå îáùèé ñëó÷àé [150]. Ïóñòü χ áóäåò ñëó÷àéíîé ïåðåìåííîé, ðàñïðåäåëåíèå êîòîðîé çàâèñèò òîëüêî îò ð. Òîãäà ôóíêöèþ ïëîòíîñòè âåðîÿòíîñòè äëÿ x ìîæíî çàïèñàòü êàê f(x; ð). Ïóñòü èìåþòñÿ n ðåàëèçèöèé (âûáîðêà îáúåìà è) õ1, x2, .... õï ïåðåìåííîé õ. Òîãäà âåðîÿòíîñòü òàêîé âûáîðêè ìîæíî çàïèñàòü ñëåäóþùèì îáðàçîì:
Åñëè â ýòî âûðàæåíèå ïîäñòàâèòü êîíêðåòíûå íàáëþäàåìûå âûáîðî÷íûå çíà÷åíèÿ è ðàññìàòðèâàòü åãî êàê ôóíêöèþ îò ð, òî ïîëó÷èòñÿ ôóíêöèÿ ïðàâäîïîäîáèÿ äàííîé âûáîðêè. Îöåíêà ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ íàõîäèòñÿ ïóòåì ðåøåíèÿ îòíîñèòåëüíî ð ñëåäóþùåãî óðàâíåíèÿ:
Äèñïåðñèþ ýòîé îöåíêè ïîëó÷àþò ïóòåì âû÷èñëåíèÿ âòîðîé ïðîèçâîäíîé è âçÿòèÿ îòðèöàòåëüíîé îáðàòíîé âåëè÷èíû åå ìàòåìàòè÷åñêîãî îæèäàíèÿ (ìàòåìàòè÷åñêîå îæèäàíèå îáû÷íî îáîçíà÷àåòñÿ ñèìâîëîì Å)
Ïðîñòîé ìåòîä ïîäñ÷åòà ãåíîâ, ïðåäñòàâëåííûé âûøå íà ïðèìåðå ãðóïï êðîâè MN, êàê ðàç è äàåò îöåíêó ìàêñèìàëüíîãî

Ïðèëîæåíèå 1 183


ïðàâäîïîäîáèÿ. Âû÷èñëåíèÿ ñòàíîâÿòñÿ íåñêîëüêî ñëîæíåå, êîãäà èìååòñÿ áîëåå äâóõ àëëåëåé è ïî ôåíîòèïó íåëüçÿ èäåíòèôèöèðîâàòü âñå ãåíîòèïû, êàê, íàïðèìåð, äëÿ ñèñòåìû ãðóïï êðîâè ÀÂÎ.  ýòîì ñëó÷àå ìíîãèìè àâòîðàìè áûëè ïðåäëîæåíû ðàçíûå ôîðìóëû äëÿ ïîëó÷åíèÿ îöåíîê ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ. Îäíàêî ìåòîä Áåðíøòåéíà ñ ïîïðàâêàìè îêàçàëñÿ ïðàêòè÷åñêè ýêâèâàëåíòíûì. Ñëåäîâàòåëüíî, ôîðìóëû, ïîëó÷åííûå èç óðàâíåíèé ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ, ìîæíî èñïîëüçîâàòü äëÿ âû÷èñëåíèÿ äèñïåðñèé îöåíîê ïî Áåðíøòåéíó;
Çäåñü n îçíà÷àåò îáúåì âûáîðêè (äëÿ âñåõ ÷åòûðåõ ãðóïï êðîâè âìåñòå).
Âû÷èñëåíèå ÷àñòîò àëëåëåé ãðóïï êðîâè ñèñòåìû ÀÂÎ ïî ìåòîäó Áåðíøòåéíà. Áåðíøòåéí ïðè èññëåäîâàíèè ãåíåòè÷åñêîé îñíîâû ñèñòåìû ÀÂÎ (ðàçä. 3.2) ðàçðàáîòàë ìåòîä îöåíêè ÷àñòîò àëëåëåé ãðóïï êðîâè ýòîé ñèñòåìû. Çàòåì îí óñîâåðøåíñòâîâàë ñâîé ìåòîä, ïîëó÷àÿ ñíà÷àëà ïðåäâàðèòåëüíûå îöåíêè ÷àñòîò ð', q', r', a çàòåì ïîïðàâëÿÿ èõ äëÿ âû÷èñëåíèÿ òî÷íûõ ãåííûõ ÷àñòîò ð, q, r:
ãäå D=1—(ð' + q' + r'). Áûëî ïîêàçàíî, ÷òî îöåíêè, ïîëó÷àåìûå ñ èñïîëüçîâàíèåì ýòîãî óñîâåðøåíñòâîâàííîãî ìåòîäà Áåðíøòåéíà, ïðàêòè÷åñêè èäåíòè÷íû îöåíêàì ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ.
Ïðèìåð: îöåíêà ãåííûõ ÷àñòîò ñ ïîìîùüþ ïîäñ÷åòà ãåíîâ. Ðýéñ è Ñýíãåð [166] ïðèâåëè ñëåäóþùèå ôåíîòèïè÷åñêèå ÷àñòîòû äëÿ æèòåëåé Ëîíäîíà, Îêñôîðäà è Êåìáðèäæà:

 

Ñëåäîâàòåëüíî, â ñîîòâåòñòâèè ñ óðàâíåíèåì (Ï. 1.1) ÷àñòîòà ð àëëåëÿ M è ÷àñòîòà q àëëåëÿ N ðàâíû:
Îòñþäà âûòåêàåò ð2 = 0,2827; 2 pq = 0,4980; g2 = 0,2193.
×òîáû âû÷èñëèòü îæèäàåìûå ãåíîòèïè÷åñêèå ÷àñòîòû (E), ýòè öèôðû ñëåäóåò óìíîæèòü íà 1279 - îáùåå ÷èñëî îáñëåäîâàííûõ æèòåëåé
Òåïåðü ñðàâíèì ýòè îæèäàåìûå çíà÷åíèÿ ñ íàáëþäàåìûìè
 äàííîì ñëó÷àå íåò ñòàòèñòè÷åñêè çíà÷èìîãî ðàçëè÷èÿ ìåæäó íàáëþäàåìûìè è îæèäàåìûìè ãåííûìè ÷àñòîòàìè.
Ïðèìåð: îöåíêà ÷àñòîò àëëåëåé ñèñòåìû ÀÂÎ [711]. Äëÿ 21104 æèòåëåé Áåðëèíà áûëî íàéäåíî ñëåäóþùåå ðàñïðåäåëåíèå ïî ãðóïïàì êðîâè:
 ñîîòâåòñòâèè ñ óñîâåðøåíñòâîâàííûì

Ïðèëîæåíèå 1


ìåòîäîì Áåðíøòåéíà ýòî äàåò ñëåäóþùèå ðåçóëüòàòû (ïîäðîáíåå â ðàçä. 3.2.2):

p = 0,287685 + 0,002411, q = 0,106555 ±0,001545, r = 0,605760 ±0,002601.

Áûëî ïîêàçàíî, ÷òî ìåòîä ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ ïðèâîäèò ê òî÷íî òàêèì æå ðåçóëüòàòàì [711]. Äèñïåðñèè ïî ìåòîäó ìàêñèìàëüíîãî ïðàâäîïîäîáèÿ ïîëó÷èëèñü ñëåäóþùèìè:

Vp = 0,000005811, Vq = 0,000002386, Vr = 0,000006763.

Äëÿ ïîëó÷åíèÿ ñòàíäàðòíûõ îòêëîíåíèé íóæíî èçâëå÷ü êâàäðàòíûå êîðíè èç ýòèõ äèñïåðñèé.

Òî÷íî òàê æå, êàê áûëî ïîêàçàíî äëÿ ãðóïï êðîâè MN, ïî ÷àñòîòå àëëåëåé À,  è Î ìîæíî âû÷èñëèòü îæèäàåìûå ãåíîòèïè÷åñêèå ÷àñòîòû è ñðàâíèòü èõ ñ íàáëþäàåìûìè ÷àñòîòàìè ïî êðèòåðèþ õè-êâàäðàò.

Åùå áîëåå ñëîæíûå ïðîáëåìû âîçíèêàþò ïðè àíàëèçå ãðóïï êðîâè Rh è âîîáùå ïðè àíàëèçå âñåõ ñèñòåì, â êîòîðûõ âìåñòå


íàñëåäóåòñÿ ìíîãî ðàçíûõ êîìáèíàöèé àíòèãåíîâ. Äëÿ ýòèõ ñëó÷àåâ îïóáëèêîâàíû èëè óïîìÿíóòû â ïóáëèêàöèÿõ êîìïüþòåðíûå ïðîãðàììû. Äëÿ ñèñòåìû Rh ìîæíî âîñïîëüçîâàòüñÿ ïóáëèêàöèÿìè [585; 586]. Ðÿäîì àâòîðîâ ïðåäëîæåíû ïðàâèëà âû÷èñëåíèÿ ÷àñòîò àëëåëåé è ãàïëîòèïîâ äëÿ ñèñòåìû HLA [554; 738; 779; 805; 962]. Íàõîäèò ñâîå ïðèìåíåíèå òàêæå ñèñòåìà ALLTYPE [789].

Îäíàêî íåàäåêâàòíîñòü ñîñòàâëåíèÿ âûáîðêè íå êîìïåíñèðóåòñÿ îáðàáîòêîé íà êîìïüþòåðå. Âñå óïîìÿíóòûå äî ñèõ ïîð ìåòîäû îñíîâàíû íà ïðåäïîëîæåíèè, ÷òî âûáîð èíäèâèäîâ ïðîâîäèëñÿ íåçàâèñèìî, ò .å. âûáîð êàêîãî-ëèáî îäíîãî èíäèâèäà íå óâåëè÷èâàåò è íå óìåíüøàåò øàíñ áûòü âûáðàííûì äëÿ ëþáîãî äðóãîãî èíäèâèäà â ïîïóëÿöèè. Ýòî ïðàâèëî íàðóøàåòñÿ, íàïðèìåð, ïðè ñáîðå äàííûõ î ðîäñòâåííèêàõ. Îäíàêî íåëüçÿ ñêàçàòü, ÷òî âûáîðêè, ñîäåðæàùèå ðîäñòâåííèêîâ, âñåãäà áåñïîëåçíû äëÿ âû÷èñëåíèÿ ãåííûõ ÷àñòîò. Íî âêëþ÷åíèå ðîäñòâåííèêîâ â âûáîðêó äîëæíî áûòü îáÿçàòåëüíî îòìå÷åíî âìåñòå ñî ñòåïåíüþ èõ ðîäñòâà, è äëÿ àíàëèçà äîëæíû èñïîëüçîâàòüñÿ ñïåöèàëüíûå ñòàòèñòè÷åñêèå ìåòîäû [211].


Ïðèëîæåíèå 2

Àíàëèç ñåãðåãàöèè ðàñïðîñòðàíåííûõ ïðèçíàêîâ: îòñóòñòâèå ñìåùåíèé âñëåäñòâèå ðåãèñòðàöèè, äîìèíèðîâàíèå [876; 877]


Åñëè òèï íàñëåäîâàíèÿ êîäîìèíàíòíûé, òàê ÷òî êàæäûé ãåíîòèï ñîîòâåòñòâóåò ñâîåìó, îòëè÷íîìó îò äðóãèõ ôåíîòèïó, è åñëè àíàëèçèðóåìûå ñåìüè âûáèðàëèñü èç ïîïóëÿöèè íåçàâèñèìî îò ãåíîòèïîâ èõ ÷ëåíîâ, òî àíàëèç ñåãðåãàöèîííûõ îòíîøåíèé ïðîâîäèòñÿ íåïîñðåäñòâåííî.  ýòîì ñëó÷àå ÷èñëî. èíäèâèäîâ â êàæäîì ãåíîòèïè÷åñêîì êëàññå ñëåäóåò ñðàâíèâàòü ñ ÷èñëîì, îæèäàåìûì èç ðàñïðåäåëåíèÿ íà îñíîâå ìåíäåëåâñêîãî çàêîíà, ñ ïîìîùüþ êðèòåðèÿ õè-êâàäðàò, êàê ïîêàçàíî â ðàçä. 3.3.3 è òàáë. 3.7.
Ïðè äîìèíèðîâàíèè ñåãðåãàöèîííûé àíàëèç ñëîæíåå, ÷åì ïðè êîäîìèíàíòíîì íàñëåäîâàíèè.  ôåíîòèïè÷åñêîì áðàêå
ÀÀ x Àà è Àà x Àà. Îðèãèíàëüíûé ìåòîä ñåãðåãàöèîííîãî àíàëèçà áûë ðàçðàáîòàí Ñìèòîì [876].
Òèï áðàêà À x à.  ýòîé ãðóïïå ïðåäñòàâëåíû äâà ãåíîòèïè÷åñêèõ áðàêà ÀÀ x àà è Àà x àà. Ïåðâûé äàåò òîëüêî äåòåé ñ ãåíîòèïîì Àà è ñ ôåíîòèïîì À, à âòîðîé - äåòåé Àà è àà â ñîîòíîøåíèè 1:1. Äëÿ èëëþñòðàöèè èñïîëüçóþòñÿ äàííûå ïî ãðóïïàì êðîâè (òàáë. Ï.2.1, Ï.2.2). Íèæå ïðèâîäÿòñÿ ÷èñëåííîñòè ñåìåé ïî êðàéíåé ìåðå ñ îäíèì ðåöåññèâíûì ðåáåíêîì (àíàëîã ðåãèñòðàöèè ñåìåé ïî «ïîðàæåííûì» ïîòîìêàì)
Îæèäàåòñÿ, ÷òî â ýòèõ ñåìüÿõ ÷èñëî äåòåé ñ ðåöåññèâíûì ôåíîòèïîì ïîä÷èíÿåòñÿ «óñå÷åííîìó áèíîìèàëüíîìó ðàñïðåäåëåíèþ» Íàïðèìåð, îæèäàåìîå ñîîòíîøåíèå äâóõäåòíûõ ñåìåé ñ 0, 1 èëè 2 ðåöåññèâíûìè

 

äåòüìè äîëæíî áûòü ðàâíûì 1:2:1. Îäíàêî êëàññ ñ íóëåì ðåöåññèâîâ îòñóòñòâóåò â ñèëó ñïîñîáà ðåãèñòðàöèè. Ñëåäîâàòåëüíî, ñ âåðîÿòíîñòüþ 2/3 äâóõäåòíàÿ ñåìüÿ áóäåò èìåòü îäíîãî ðåöåññèâíîãî ïîòîìêà è ñ âåðîÿòíîñòüþ 1/3 - äâóõ. Îæèäàåìîå ÷èñëî ðåöåññèâíûõ äåòåé â äâóõäåòíûõ ñåìüÿõ ðàâíî
à äèñïåðñèÿ
 ïðèíöèïå òå æå ðàññóæäåíèÿ ìîæíî èñïîëüçîâàòü äëÿ ñåìåé ñ 3, 4 è áîëüøèì ÷èñëîì äåòåé è âû÷èñëèòü à3, a4 ··· è b3, b4... .  îáùåì ñëó÷àå âåðîÿòíîñòü òîãî, ÷òî ñåìüÿ èç s äåòåé ïî êðàéíåé ìåðå ñ îäíèì ðåöåññèâíûì ðåáåíêîì èìååò òî÷íî r ðåöåññèâíûõ äåòåé, ðàâíà
(ñð. ñ áèíîìèàëüíûì ðàñïðåäåëåíèåì, ðàçä. 3.3.2). Îòñþäà âûòåêàåò, ÷òî
Îæèäàåìîå îáùåå ÷èñëî äåòåé ñ ðåöåññèâíûì ôåíîòèïîì â âûáîðêå ñîñòàâèò
(èñïîëüçóÿ äàííûå Ñìèòà, ïðèâåäåííûå çäåñü â òàáë. Ï.2.3). Äèñïåðñèþ ýòîé âåëè÷èíû ìîæíî âû÷èñëèòü èç àíàëîãè÷íîé

186 Ïðèëîæåíèå 2


 

 

 

 

 

 

 

 

 

Òàáëèöà Ï.2.1. Ôåíîòèïè÷åñêèé áðàê  
 
 
 
 
 
ëèíåéíîé êîìáèíàöèè çíà÷åíèé b v1 = 8,555. Îáùèé âèä ôîðìóë ñëåäóþùèé:  
 
Íàáëþäàåìîå ÷èñëî ðåöåññèâîâ (èç òàáë. Ï.2.1) ðàâíî  
O1 = 11 χ 1 + 10 χ 2 + 2 χ 3 = 37.  
 
Òàáëèöà Ï. 2.2. Ôåíîòèïè÷åñêèé áðàê  
 
 
 
 
 
 

 

 

òèïè÷åñêîìó áðàêó À õ À (òàáë. Ï.2.2) ñ òîé ëèøü ðàçíèöåé, ÷òî â áðàêå Àà õ Àà äåòè ñ ôåíîòèïàìè À è à îæèäàþòñÿ â ñîîòíîøåíèè 3:1. Îæèäàåìûå ñðåäíèå çíà÷åíèÿ As è äèñïåðñèè Bs ìîæíî âçÿòü èç òàáë. Ï.2.3.  10 ñåìüÿõ ïî êðàéíåé ìåðå ñ îäíèì ðåáåíêîì íàáëþäàëèñü 11 òàêèõ äåòåé. Ñðàâíèâàÿ ýòó âåëè÷èíó ñ îæèäàåìûì ñðåäíèì çíà÷åíèåì Å2 = 12,3 è äèñïåðñèåé V2 = 2,069, ïîëó÷àåì  
 
Ñíîâà íàáëþäàåìûå çíà÷åíèÿ ïðåâîñõîäíî ñîîòâåòñòâóþò îæèäàåìûì.  
Äî ñèõ ïîð ìû íå èñïîëüçîâàëè ãåííûå ÷àñòîòû. Íàáëþäàåìûå ÷èñëåííîñòè ñåìåé ïî êðàéíåé ìåðå ñ îäíèì ðåöåññèâíûì ðåáåíêîì íóæíî ñðàâíèòü ñ îæèäàåìûìè ÷èñëåííîñòÿìè òàêèõ ñåìåé, ðàññ÷èòàííûìè èç îáùåãî êîëè÷åñòâà ñåìåé â âûáîðêå. Äëÿ ýòîãî íåîáõîäèìû íàäåæíûå îöåíêè ãåííûõ ÷àñòîò. Èõ ìîæíî ïîëó÷èòü, èìåÿ áîëüøóþ âûáîðêó ñëó÷àéíûõ èíäèâèäîâ èç ïîïóëÿöèè. Ôåíîòèïè÷åñêèé áðàê Axa, íàïðèìåð, ìîæåò âêëþ÷àòü äâà ãåíîòèïè÷åñêèõ ÀÀ õ àà è Àà õ àà. Èõ îæèäàåìàÿ ÷àñòîòà  
Òàáëèöà Ï.2.3. Îæèäàåìûå ñðåäíèå çíà÷åíèÿ às, äèñïåðñèè bs è âåëè÷èíû ds äëÿ ôåíîòèïè÷åñêîãî áðàêà A x a. Îæèäàåìûå ñðåäíèå çíà÷åíèÿ As, äèñïåðñèè Bs è âåëè÷èíû Ds äëÿ ôåíîòèïè÷åñêîãî áðàêà À õ À [876]  
 
 

Ïðèëîæåíèå 2 187


2 x ρ2 x q2 + 2 x 2pq x q2 = 2p2q2 + 4pq3.  òî æå âðåìÿ ýòî çíà÷åíèå ÿâëÿåòñÿ âåðîÿòíîñòüþ òîãî, ÷òî ñëó÷àéíî âûáðàííûé áðàê áóäåò èìåòü ôåíîòèï À õ à. Íà ñàìîì äåëå ñåìüÿ ìîæåò èìåòü ðåöåññèâíîãî ðåáåíêà, òîëüêî åñëè ãåíîòèïè÷åñêèé áðàê áóäåò Àà õ àà. Äàæå â ýòîì ñëó÷àå âåðîÿòíîñòü èìåòü ïî êðàéíåé ìåðå îäíîãî ðåöåññèâíîãî ðåáåíêà ñðåäè s äåòåé ðàâíà 1 - (l/2)s, ò. ê. ñ âåðîÿòíîñòüþ (1/2)S áóäóò ïîÿâëÿòüñÿ òîëüêî äîìèíàíòíûå äåòè.
Ïî ýòîé ïðè÷èíå âåðîÿòíîñòü π òîãî, ÷òî ñåìüÿ òèïà Àõà ñ s äåòüìè áóäåò èìåòü ïî êðàéíåé ìåðå îäíîãî ðåöåññèâíîãî ðåáåíêà, ñîñòàâèò
Çíà÷åíèÿ ds ïðèâåäåíû â òàáë. Ï.2.3, è êîãäà èçâåñòíû ãåííûå ÷àñòîòû, òî ëåãêî âû÷èñëèòü uds. Åñëè èìååòñÿ ns ñåìåé ðàçìåðà s (s = l, 2, ...), òî îæèäàåìûå ñðåäíåå çíà÷åíèå è äèñïåðñèÿ ÷èñëà ñåìåé ïî êðàéíåé ìåðå ñ îäíèì ðåöåññèâíûì ðåáåíêîì ñîñòàâÿò
Òàáëèöà Ï.2.4. Îæèäàåìûå è íàáëþäàåìûå ÷àñòîòû ñåìåé ñ ðåöåññèâíûìè äåòüìè, ôåíîòèïè÷åñêèé áðàê À õ à

 

 

 

 

Òàáëèöà Ï.2.5. Îæèäàåìûå è íàáëþäàåìûå ÷àñòîòû ñåìåé ñ ðåöåññèâíûìè äåòüìè, ôåíîòèïè÷åñêèé áðàê ÄxÄ  
 
 
 
Íàïðèìåð, ãåííàÿ ÷àñòîòà q ðåöåññèâíîãî àëëåëÿ ρ â ñèñòåìå Ρ ðàâíà 0,51. Ñëåäîâàòåëüíî, è = 0,675. Äàëüíåéøèå âû÷èñëåíèÿ ïðèâåäåíû â òàáë. Ï.2.4.  
 ïðèíöèïå òå æå ðàñ÷åòû ìîæíî âûïîëíèòü äëÿ À õ À ñåìåé ñ u2 è Ds = 1 — — (3/4)s âìåñòî u è d ñîîòâåòñòâåííî; çíà÷åíèÿ Ds ïðèâåäåíû â òàáë. Ï.2.5.  
Âñå ñðàâíåíèÿ ñîáðàíû âìåñòå â òàáë. Ï.2.6, ãäå ïðèâåäåíà òàêæå ñóììà âñåõ ñðàâíåíèé.  ïåðâûõ äâóõ ñòðîêàõ òàáëèöû ïðåäñòàâëåíû çíà÷åíèÿ êðèòåðèÿ õè-êâàäðàò äëÿ ñðàâíåíèÿ ñ îæèäàåìûìè ñåãðåãàöèîííûìè îòíîøåíèÿìè, à â ñëåäóþùèõ äâóõ - íàáëþäàåìûå ÷àñòîòû ðàçíûõ òèïîâ áðàêà ñðàâíèâàþòñÿ ñ îæèäàåìûìè íà îñíîâå çàêîíà Õàðäè-Âàéíáåðãà, ïðè ýòîì èñïîëüçóþòñÿ ãåííûå ÷àñòîòû. Òàêîå ÷åòêîå ðàçäåëåíèå äåëàåò ìåòîä áîëåå ïîíÿòíûì.  
Òàáëèöà Ï.2.6. c2-ñðàâíåíèÿ  
 
 
 

Ïðèëîæåíèå 3

Ôîðìóëû è òàáëèöû äëÿ êîððåêöèè ðåãèñòðàöèîííûõ ñìåùåíèé, à òàêæå äëÿ òåñòèðîâàíèÿ è îöåíêè ñåãðåãàöèîííûõ îòíîøåíèé. Äðóãèå ñòàòèñòè÷åñêèå ïðîáëåìû è âû÷èñëèòåëüíûé ïðèìåð


 ïðèëîæåíèè 2 îïèñàí ìåòîä òåñòèðîâàíèÿ ñåãðåãàöèîííûõ îòíîøåíèé øèðîêî ðàñïðîñòðàíåííûõ ïðèçíàêîâ (íàïðèìåð, ïîëèìîðôíûõ âàðèàíòîâ). Ïðèëîæåíèå 3 ñîäåðæèò ìåòîäû ñåãðåãàöèîííîãî àíàëèçà ðåäêèõ ïðèçíàêîâ (â ÷àñòíîñòè, ìîíîãåííûõ çàáîëåâàíèé), âêëþ÷àÿ êîððåêöèþ ñìåùåíèé, âîçíèêàþùèõ âñëåäñòâèå îñîáåííîñòåé ðåãèñòðàöèè ñåìåé. Êàê îáúÿñíÿëîñü â ðàçä. 3.3, ñåãðåãàöèîííûé àíàëèç ìîæíî ïðîâîäèòü äâóìÿ ðàçíûìè ñïîñîáàìè: ïóòåì òåñòèðîâàíèÿ ýìïèðè÷åñêèõ äàííûõ íà ñîîòâåòñòâèå çàäàííîìó òåîðåòè÷åñêîìó ñåãðåãàöèîííîìó îòíîøåíèþ è ñ ïîìîùüþ îöåíêè ñåãðåãàöèîííûõ îòíîøåíèé.

 îáîèõ ñëó÷àÿõ íåîáõîäèìà êîððåêöèÿ ñìåùåíèé, îáóñëîâëåííûõ ñïîñîáîì ñáîðà äàííûõ. Ñëåäóåò ðàçëè÷àòü äâà òèïà ðåãèñòðàöèè ñåìåé: åäèíè÷íûé îòáîð (k = 0) è ïîëíûé èëè óñå÷åííûé îòáîð (k = 1). Ïðè åäèíè÷íîì îòáîðå (k = 0) êàæäàÿ ñåìüÿ ðåãèñòðèðóåòñÿ ÷åðåç åäèíñòâåííîãî ïðîáàíäà. Ïðèìåðàìè ìîãóò ñëóæèòü ñåìåéíûå èññëåäîâàíèÿ, îñíîâàííûå íà áîëüíûõ â ñòàöèîíàðàõ. Ïðè ïîëíîì èëè óñå÷åííîì îòáîðå (k = 1) ðåãèñòðèðóþòñÿ âñå ïîðàæåííûå èíäèâèäû â ïîïóëÿöèè. Êîððåêöèÿ ñåãðåãàöèîííûõ îòíîøåíèé íåîáõîäèìà ïîòîìó, ÷òî â âûáîðêó íå ïîïàäóò ñèáñòâà, â êîòîðûõ íåò ïîðàæåííûõ äåòåé, õîòÿ ïðè ãåòåðîçèãîòíîñòè îäíîãî (â ñëó÷àå äîìèíàíòíîãî èëè Õ-ñöåïëåííîãî ðåöåññèâíîãî ïðèçíàêà) èëè îáîèõ (â ñëó÷àå ðåöåññèâíîãî ïðèçíàêà) ðîäèòåëåé ýòî ïðèíöèïèàëüíî âîçìîæíî.

Íèæå îïèñûâàþòñÿ ìåòîäû òåñòèðîâàíèÿ ñîîòâåòñòâèÿ òåîðåòè÷åñêè îæèäàåìûõ è íàáëþäàåìûõ ñåãðåãàöèîííûõ îòíîøåíèé, à òàêæå ìåòîäû îöåíêè ñåãðåãàöèîííûõ îòíîøåíèé.  îñíîâíîì ìû ñëåäóåì Êýëèíó (1955) [729]. Ðåêîìåíäóåìûé çäåñü ìåòîä ïîäðàçóìåâàåò èñïîëüçîâàíèå êàëüêóëÿòîðà, ïðåäïî÷òèòåëüíî ïðîãðàììèðóå-


ìîãî, â ïðîòèâíîì ñëó÷àå ñëåäóåò èìåòü òàáëèöû Êýëèíà. Ñíà÷àëà áóäóò îïèñàíû ìåòîäû ñåãðåãàöèîííîãî àíàëèçà. Çàòåì ìû îáñóäèì íåêîòîðûå ïðîáëåìû, âîçíèêàþùèå âñëåäñòâèå ãåíåòè÷åñêîé ãåòåðîãåííîñòè è ïðèìåñè ñïîðàäè÷åñêèõ ñëó÷àåâ. Êðîìå òîãî, ìû ðàññìîòðèì, êàê èçó÷àþòñÿ ýôôåêòû ïîðÿäêà ðîæäåíèÿ, è ïðîäåìîíñòðèðóåì ñîîòâåòñòâóþùèå ìåòîäû íà ïðèìåðå îïóáëèêîâàííîãî ïîïóëÿöèîííîãî èññëåäîâàíèÿ ãëóõîíåìîòû â Ñåâåðíîé Èðëàíäèè. Íàêîíåö, ìû ïðîàíàëèçèðóåì íåêîòîðûå áîëåå ñëîæíûå ïðîáëåìû ðåãèñòðàöèè, âîçíèêàþùèå â ñâÿçè ñ ìèãðàöèåé ñåìåé, à òàêæå â ñëó÷àÿõ, êîãäà ñåìüè îõâàòûâàþò áîëåå îäíîãî ñèáñòâà.

Íà ïåðâûé âçãëÿä ðåêîìåíäàöèÿ ñëåäîâàòü ïðèíöèïó «ñäåëàé ñàì», èãíîðèðóÿ ñóùåñòâóþùèå ìåòîäû ñåãðåãàöèîííîãî àíàëèçà, ìíîãèå èç êîòîðûõ óæå ðåàëèçîâàíû â âèäå êîìïüþòåðíûõ ïðîãðàìì (íàïðèìåð, ïðîãðàììà Ìîðòîíà SEGRAN), ìîæåò ïîêàçàòüñÿ ñòàðîìîäíîé. Îäíàêî èññëåäîâàòåëü, êîòîðûé áåðåò íà ñåáÿ òðóä ñàìîñòîÿòåëüíî ïðîéòè âñå ýòàïû òàêîãî àíàëèçà, áóäåò âîçíàãðàæäåí ñïîñîáíîñòüþ êðèòè÷åñêè îöåíèòü ïîëó÷àåìûå ðåçóëüòàòû ñ ó÷åòîì îñîáåííîñòåé è âîçìîæíûõ èçúÿíîâ ñâîèõ äàííûõ. Òå ÷èòàòåëè, êîòîðûå èìåþò äîñòóï ê ïåðñîíàëüíîìó êîìïüþòåðó (PC) è çíàêîìû ñ àëãîðèòìè÷åñêèì ÿçûêîì BASIC, ìîãóò ëåãêî íàïèñàòü ïðîãðàììó â ñîîòâåòñòâèè ñ îïèñûâàåìûìè íèæå ìåòîäàìè.

Òåñòèðîâàíèå ýìïèðè÷åñêèõ ñåìåéíûõ äàííûõ íà ñîîòâåòñòâèå çàäàííîìó ñåãðåãàöèîííîìó îòíîøåíèþ.  ýòîì ïîäõîäå íàáëþäàåìûå ÷èñëåííîñòè r ïîðàæåííûõ â ñèáñòâàõ ðàçìåðà s ñðàâíèâàþòñÿ ñ èõ îæèäàåìûìè çíà÷åíèÿìè Es(r). Îæèäàåìûå çíà÷åíèÿ âû÷èñëÿþò ïî ôîðìóëàì sp/(l — qS) (äëÿ ïîëíîãî èëè óñå÷åííîãî îòáîðà, k = 1)


Ïðèëîæåíèå 3 189


è (s — l)p+1 (äëÿ åäèíè÷íîãî îòáîðà, k = 0) ñ ïîìîùüþ íåñêîëüêèõ ïðîãðàììíûõ îïåðàöèé êàðìàííîãî êàëüêóëÿòîðà. Çäåñü s — êîëè÷åñòâî äåòåé â ñèáñòâå, n, - ÷èñëî ñèáñòâ ðàçìåðà s, r -÷èñëî ïîðàæåííûõ ñèáñîâ, ð - òåñòèðóåìîå ñåãðåãàöèîííîå îòíîøåíèå, q = 1 — p. ×òîáû âû÷èñëèòü îæèäàåìîå çíà÷åíèå SEs(r) äëÿ âñåãî íàáîðà èìåþùèõñÿ ñèáñòâ, íóæíî ïðîñóììèðîâàòü ñîîòâåòñòâóþùèå îæèäàåìûå çíà÷åíèÿ Es(r). Íàïðèìåð, åñëè ñåìåéíûå äàííûå ñîäåðæàò 5 ñèáñòâ ðàçìåðà 6 ñ äâóìÿ ïîðàæåííûìè ñèáñàìè è îäíî ñèáñòâî ðàçìåðà 8 ñ òðåìÿ ïîðàæåííûìè ñèáñàìè, åñëè êàæäîå èç ýòèõ ñèáñòâ èìååò îäíîãî ïðîáàíäà (åäèíè÷íûé îòáîð, k = 0) è åñëè îæèäàåìîå ñåãðåãàöèîííîå îòíîøåíèå ðàâíî 0,25 (ðåöåññèâíîå íàñëåäîâàíèå), òî îæèäàåìàÿ ÷èñëåííîñòü ïîðàæåííûõ äëÿ âñåãî íàáîðà ñèáñòâ ïîëó÷àåòñÿ ñëåäóþùèì îáðàçîì:
Íàáëþäàåìîå ÷èñëî ïîðàæåííûõ ñèáñîâ ðàâíî 5x2+1x3=13. Òåïåðü ýòè äâà çíà÷åíèÿ ìîæíî ñðàâíèòü äðóã ñ äðóãîì, èñïîëüçóÿ ôîðìóëó χ = (Î — E)/V, äèñïåðñèÿ âû÷èñëÿåòñÿ ïî ôîðìóëå
Äèñïåðñèÿ îäíîãî ñèáñòâà ñîñòàâèò
 òàáë. Ï. 3.1 ïðåäñòàâëåí ïðèìåð âû÷èñëåíèé, ñâÿçàííûõ ñ ãåíåòè÷åñêèì àíàëèçîì ãëóõîíåìîòû.
Îöåíêà ñåãðåãàöèîííîãî îòíîøåíèÿ â ñåìåéíûõ äàííûõ. Îïèñàííûé âûøå ìåòîä òåñòèðîâàíèÿ îòâå÷àåò ëèøü íà âîïðîñ, ñîãëàñóåòñÿ ëè èìåþùèéñÿ íàáîð ýìïèðè÷åñêèõ ÷èñëåííîñòåé ñ èõ çíà÷åíèÿìè, îæèäàåìûìè íà îñíîâå êîíêðåòíîé ãåíåòè÷åñêîé ãèïîòåçû. Îäíàêî ÷àùå òàêàÿ ãèïîòåçà íåî÷åâèäíà. Ñëåäîâàòåëüíî, öåëåñîîáðàçíåå

 

Òàáëèöà Ï.3.1. Òåñòèðîâàíèå ñåãðåãàöèîííîãî îòíîøåíèÿ äëÿ ãëóõîíåìîòû â ñîîòâåòñòâèè ñ àïðèîðíûì ìåòîäîì: ïðåäïîëàãàåòñÿ, ÷òî áðàê ìåæäó ôåíîòèïè÷åñêè íåïîðàæåííûìè ãåíîòèïè÷åñêè ïðåäñòàâëÿåò ñîáîé áðàê ãåòåðîçèãîò Àà õ Àà
îöåíèâàòü ñåãðåãàöèîííîå îòíîøåíèå. Ïåðâûìè òàêèìè ìåòîäàìè áûëè âàéíáåðãîâñêèå "Geschwistermethode" (ñèáñîâûé ìåòîä) è "Probandenmethode" (ïðîáàíäîâûé ìåòîä). Ñèáñîâûé ìåòîä ïðèìåíÿåòñÿ òîãäà, êîãäà âñå ïîðàæåííûå ñèáñû ÿâëÿþòñÿ îäíîâðåìåííî è ïðîáàíäàìè, ò.å. êîãäà k = 1.  ýòîì ñëó÷àå äëÿ êàæäîãî ïîðàæåííîãî ñèáñà ïîäñ÷èòûâàþò ÷èñëî åãî íåïîðàæåííûõ è ïîðàæåííûõ ñèáñîâ. Íàïðèìåð, ñèáñòâî ìîæåò ñîäåðæàòü 6 ÷ëåíîâ, èç êîòîðûõ òðîå ïîðàæåíû, à òðîå çäîðîâû. Ñèáñîâûé ìåòîä äàåò ñëåäóþùèé ðåçóëüòàò: ïîðàæåííûõ áóäåò 3x2 = 6 ñèáñîâ, à íåïîðàæåííûõ -3 õ 3 = 9 ñèáñîâ (ó êàæäîãî èç òðåõ ïîðàæåííûõ èìååì ïî äâà ïîðàæåííûõ è òðè íåïîðàæåííûõ ñèáñà). Îöåíèâàåìîå ñåãðåãàöèîííîå îòíîøåíèå ðàâíî
Åñëè íå âñå ïîðàæåííûå ñèáñû çàðåãèñòðèðîâàíû â êà÷åñòâå ïðîáàíäîâ, òî óïîìÿíóòàÿ âûøå ïðîöåäóðà ïðåîáðàçóåòñÿ òàê, ÷òîáû ïîäñ÷åò âåñòè òîëüêî äëÿ ïðîáàíäîâ. Ïðåîáðàçîâàííàÿ ïðîöåäóðà ïîëó÷èëà íàçâàíèå ïðîáàíäîâîãî ìåòîäà. Åñëè êàæäîå

190 Ïðèëîæåíèå 3


ñèáñòâî áûëî çàðåãèñòðèðîâàíî ÷åðåç îäíîãî ïðîáàíäà, òî ïîäñ÷åò îñóùåñòâëÿåòñÿ òîëüêî îäèí ðàç. Äëÿ óïîìÿíóòîãî âûøå ñèáñòâà ýòî îçíà÷àåò p = 2/5 = 0,4 (ñëó÷àé k = 0). Äëÿ îäíîãî-åäèíñòâåííîãî ñèáñòâà äâå îöåíêè äëÿ k = 1 è k = 0 èäåíòè÷íû. Îäíàêî îíè ìîãóò ðàçëè÷àòüñÿ, åñëè âûáîðêà ñîäåðæèò ìíîãî ñèáñòâ ðàçíîãî ðàçìåðà.  ýòîì ñëó÷àå îöåíêà äëÿ k = 1 äàåò íàèáîëüøåå çíà÷åíèå ð, à äëÿ k = 0 - íàèìåíüøåå. Ïîçæå áûëè ðàçðàáîòàíû áîëåå ñëîæíûå ìåòîäû îöåíêè. Îäèí èç íèõ ïðåäëîæèë Ôèííà [663]. Ìû îïèøåì åãî â âåðñèè Êýëèíà [729]. Äëÿ êàæäîãî ñèáñòâà âû÷èñëÿåòñÿ âçâåøåííûé øàíñ
çäåñü s— ÷èñëî âñåõ ñèáñîâ, à r -÷èñëî ïîðàæåííûõ ñèáñîâ ñîîòâåòñòâåííî, è
Âçâåøåííûå øàíñû Ws Ys è ñàìè âåñà Ws ñóììèðóþòñÿ ïî îòäåëüíîñòè äëÿ âñåõ ñèáñîâ. Òî çíà÷åíèå ð, äëÿ êîòîðîãî ÷àñòíîå
ð, è åñòü îöåíêà ρ èñòèííîãî ñåãðåãàöèîííîãî îòíîøåíèÿ. Êðîìå ñëó÷àåâ åäèíè÷íîãî îòáîðà (k = 0), çíà÷åíèå ð ìîæíî âû÷èñëèòü ëèøü èòåðàòèâíî. Íà÷èíàþò ñ ïåðâîãî ïðèáëèæåíèÿ p1 îöåíêè ð, â êà÷åñòâå êîòîðîãî ìîæíî ïðèíÿòü îöåíêó, ïîëó÷àåìóþ ïî ïðîáàíäîâîìó ìåòîäó Âàéíáåðãà
ðÿåòñÿ äî òåõ ïîð, ïîêà ð2 íå ñòàíîâèòñÿ ïðàêòè÷åñêè ðàâíûì ð1. Îïèñàííîå âû÷èñëåíèå ìîæíî óïðîñòèòü ñëåäóþùèì îáðàçîì. Åñëè ð2 áîëüøå pt (ýòî îçíà÷àåò, ÷òî p1), òî âû÷èñëåíèå ïîâòîðÿåòñÿ ñ áîëüøèìè çíà÷åíèÿìè ð1, ïîêà ð2 íå ñòàíåò ìåíüøå, ÷åì ð1. Íàîáîðîò, åñëè ð2 èñõîäíî ìåíüøå, ÷åì ð1 (ýòî îçíà÷àåò, ÷òî ρ1),

 

 

òî ρ1 óìåíüøàåòñÿ äî òåõ ïîð, ïîêà ð2 íå ñòàíåò áîëüøå, ÷åì ρ1. Åñëè â ïðîöåññå âû÷èñëåíèÿ ð îêàçûâàåòñÿ ìåæäó ð1 è ð2, òî îíî âû÷èñëÿåòñÿ ñ ïîìîùüþ ëèíåéíîé èíòåðïîëÿöèè. Çíà÷åíèå ð ìîæíî ïðåäñòàâèòü êàê ðåçóëüòàò ïåðåñå÷åíèÿ äâóõ ïðÿìûõ ëèíèé
Ïðàâûå ÷àñòè ýòèõ äâóõ óðàâíåíèé ïðèðàâíèâàþòñÿ, è ïîëó÷åííîå óðàâíåíèå ðåøàåòñÿ îòíîñèòåëüíî õ, ÷òî äàåò p). Äèñïåðñèþ âû÷èñëÿþò ñëåäóþùèì îáðàçîì:
(ëèíåéíàÿ èíòåðïîëÿöèÿ ìåæäó âåñàìè W è W, ñîîòâåòñòâóþùèìè ρ1 è ð1). Ýòà ïðîöåäóðà áóäåò ïðîäåìîíñòðèðîâàíà íèæå íà ïðàêòè÷åñêîì ïðèìåðå. Äëÿ k = 0 îêîí÷àòåëüíàÿ îöåíêà ð ðàâíà
(ïðîáàíäîâûé ìåòîä Âàéíáåðãà) è äîñòèãàåòñÿ óæå íà ïåðâîì øàãå èòåðàöèé.
Äàâàéòå ñíîâà ðàññìîòðèì íàø ïðèìåð: ñèáñòâî ñ s = 6 äåòüìè, èç êîòîðûõ r = 3 ïîðàæåíû. Ïðè ïîëíîì îòáîðå (k = 1) ñëåäóþùèé øàíñ âû÷èñëÿåòñÿ, íà÷èíàÿ ñ ïðåäâàðèòåëüíîé îöåíêè ð1 = 0,45,
Çäåñü ÷èñëåííûå çíà÷åíèÿ Bs è Ws âû÷èñëÿþòñÿ â ñîîòâåòñòâèè ñ óðàâíåíèÿìè Ï.3.1. Ïîñêîëüêó âû÷èñëåííîå çíà÷åíèå ð1 âûøå ïåðâîíà÷àëüíîãî çíà÷åíèÿ 0,45, òî âû÷èñëåíèå ïîâòîðÿåòñÿ ñ ð2 = 0,5:
Èñòèííîå çíà÷åíèå ð íàõîäèòñÿ ìåæäó ýòèìè äâóìÿ îöåíêàìè, îíî ìîæåò áûòü íàéäåíî ñ ïîìîùüþ èíòåðïîëÿöèè.

 

 


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Äî ñèõ ïîð ìû ðàññìàòðèâàëè òîëüêî äâà ïðåäåëüíûõ ñëó÷àÿ k = 1 (ïîëíûé îòáîð) è k = 0 (åäèíè÷íûé îòáîð). Îäíàêî ñóùåñòâóþò ìåòîäû è äëÿ íåïîëíîãî ìíîæåñòâåííîãî îòáîðà, ò. å. äëÿ ëþáîãî ÷èñëà ïðîáàíäîâ â ñèáñòâå. Ìîðòîí è äð. [800; 802; 954; 963] óñîâåðøåíñòâîâàëè ýòîò ìåòîä, ïðèíÿâ â ðàñ÷åò êîëè÷åñòâî ðåãèñòðàöèè, ïðèõîäÿùèõñÿ íà îäíîãî ïðîáàíäà.  õîäå ïîïóëÿöèîííîãî èññëåäîâàíèÿ ïðîáàíäû ìîãóò áûòü çàðåãèñòðèðîâàíû íå îäèí ðàç, à íåñêîëüêî. Òåîðåòè÷åñêè òàêàÿ ìíîæåñòâåííàÿ ðåãèñòðàöèÿ äåéñòâèòåëüíî ïîçâîëÿåò îöåíèâàòü ðåàëüíóþ ÷àñòîòó ïðèçíàêà â ïîïóëÿöèè, êîãäà ðåãèñòðàöèÿ íåïîëíàÿ. Ïðåäïîëîæèì äëÿ ïðîñòîòû, ÷òî ðåãèñòðàöèÿ ïðîõîäèò â äâà ýòàïà, ÷òî âåðîÿòíîñòü ðåãèñòðàöèè íà êàæäîì ýòàïå ðàâíà π è øàíñû áûòü çàðåãèñòðèðîâàííûì äëÿ ëþáîãî èíäèâèäà íà ïåðâîì è âòîðîì ýòàïàõ íåçàâèñèìû äðóã îò äðóãà. Òîãäà âåðîÿòíîñòü áûòü çàðåãèñòðèðîâàííûì äâàæäû ðàâíà π2, à âåðîÿòíîñòü áûòü çàðåãèñòðèðîâàííûì îäèí ðàç (ëèáî íà ïåðâîì
ïîçâîëÿåò âû÷èñëèòü π. Îäíàêî ýòî âû÷èñëåíèå ïîäðàçóìåâàåò âûïîëíåíèå î÷åíü ñóùåñòâåííîãî óñëîâèÿ. Ðàçíûå ðåãèñòðàöèè ïðîáàíäà äîëæíû áûòü íåçàâèñèìûìè äðóã îò äðóãà.  ðàçä. 3.3.4 îáúÿñíÿëîñü, ÷òî äàæå åäèíè÷íûå ðåãèñòðàöèè ðàçíûõ ïðîáàíäîâ â îäíîé ñåìüå ïî÷òè íèêîãäà íå ÿâëÿþòñÿ íåçàâèñèìûìè. Èç âñåõ ìåäèöèíñêèõ è ýïèäåìèîëîãè÷åñêèõ èññëåäîâàíèé ÿñíî, ÷òî, êàêèå áû ïðàêòè÷åñêèå ïóòè íè áûëè âûáðàíû äëÿ ñáîðà ñåìåéíîãî ìàòåðèàëà, ðåãèñòðàöèè ïðîáàíäîâ íèêîãäà íå áóäóò íåçàâèñèìûìè. Âîçüìèòå äâà êðàéíèõ ïðèìåðà: âðà÷, ñòðàäàþùèé íàñëåäñòâåííîé áîëåçíüþ, ëåãêî áóäåò çàðåãèñòðèðîâàí íåñêîëüêî ðàç â ðàçíûõ áîëüíèöàõ, ãäå îí êîíñóëüòèðóåò, ïîñêîëüêó îíè ñïåöèàëèçèðóþòñÿ íà åãî áîëåçíè, òîãäà êàê ñåçîííûé ñåëüñêîõîçÿéñòâåííûé ðàáî÷èé, âåñüìà âåðîÿòíî, íå áóäåò çàðåãèñòðèðîâàí íè ðàçó ïðè ëþáîì ñïîñîáå îáñëåäîâàíèÿ.

Ïî íàøåìó ìíåíèþ, ýòè óñîâåðøåíñòâîâàííûå ìåòîäû àíàëèçà íåàäåêâàòíû äëÿ áîëüøèíñòâà ñåìåéíûõ èññëåäîâàíèé. Ìû äóìàåì òàêæå, ÷òî ìåòîäû, ó÷èòûâàþùèå ìíîæåñòâåííûé èëè ïðîáàíäîâûé îòáîð, íå äîëæíû èñïîëüçîâàòüñÿ, ïîòîìó ÷òî ðåãèñòðàöèÿ ïðîáàíäîâ âíóòðè îäíîé è òîé æå ñåìüè íå ÿâëÿåòñÿ íåçàâèñèìîé (ñì. ðàçä. 3.3.4). Áîëåå òîãî, ìû ñ÷èòàåì îïàñíûì ïðèìåíÿòü ýòè ìåòîäû ê âûáîðêàì ñåìåé, äëÿ êîòîðûõ ñòðîãî íå îáîñíîâàíà íåçàâèñèìàÿ ðåãèñòðàöèÿ.  ñâåòå âñåõ ïðåäëîæåííûõ óñîâåðøåíñòâîâàíèé ñòàòèñòè÷åñêîãî àíàëèçà íàì êàæåòñÿ êîððåêòíîé ñëåäóþùàÿ ðåêîìåíäàöèÿ Êýëèíà [729] è Ñìèòà [878].

Íà ïðàêòèêå ãåíåòèê, èññëåäóþùèé ðåäêèé ïðèçíàê, íàõîäèòñÿ â çàòðóäíèòåëüíîì ïîëîæåíèè. Îí ìîæåò ëèøü âûñêàçûâàòü îïðåäåëåííûå óòâåðæäåíèÿ î ñåãðåãàöèîííûõ îòíîøåíèÿõ, òîëüêî åñëè îí òî÷íî çíàåò, êàêîâû ñòàòèñòè÷åñêèå ñâîéñòâà åãî ìåòîäà ñáîðà äàííûõ. Îäíàêî åñëè ïðèçíàê ðåäêèé, òî èññëåäîâàòåëü áóäåò ñòðåìèòüñÿ ñîáðàòü ñòîëüêî ñëó÷àåâ, î ñêîëüêèõ îí ñìîæåò óçíàòü ïî îáðàùåíèÿì â áîëüíèöû, ê ñåìåéíûì âðà÷àì è ò.ä., íî ñî ñòàòèñòè÷åñêîé òî÷êè çðåíèÿ ýòî íå äàñò õîðîøî îïðåäåëåííîé âûáîðî÷íîé ñõåìû. Ïðàêòè÷åñêè íåèçáåæíî â òàêèõ ñëó÷àÿõ âîçíèêíóò íåêîòîðûå ñîìíåíèÿ îòíîñèòåëüíî òî÷íîãî çíà÷åíèÿ ð. Îáû÷íî ïðåäïîëàãàþò, ÷òî ñèòóàöèÿ áóäåò ïðîìåæóòî÷íîé ìåæäó óñå÷åííûì è åäèíè÷íûì îòáîðîì, òàê ÷òî ïðîñòåéøèé ìåòîä òåñòèðîâàíèÿ, ïî-âèäèìîìó, äîëæåí ïîêàçàòü, ÷òî ÷èñëî ïîðàæåííûõ íå áîëüøå, ÷åì ìîæíî áûëî îæèäàòü ïðè ãèïîòåçå ïîëíîãî îòáîðà, è íå ìåíüøå, ÷åì ìîæíî áûëî îæèäàòü ïðè ãèïîòåçå åäèíè÷íîãî îòáîðà [878].

Ïî íàøåìó ìíåíèþ, åäèíñòâåííûì èñêëþ÷åíèåì èç ýòîãî ïðàâèëà ÿâëÿåòñÿ ïîëíàÿ ðåãèñòðàöèÿ âñåõ ñåìåé ñ ïðîáàíäàìè â îäíîé ïîïóëÿöèè ïðè ïîëíîì èëè óñå÷åííîì îòáîðå, êîãäà ñåìüè ðåãèñòðèðóþòñÿ ÷åðåç ïîêîëåíèå ðîäèòåëåé. Ñëåäîâàòåëüíî, ýïèäåìèîëîãè÷åñêèå èññëåäîâàíèÿ ðåäêèõ íàñëåäñòâåííûõ áîëåçíåé äîëæíû îñíîâûâàòüñÿ, êîãäà ýòî âîçìîæíî, íà ïîëíîé ðåãèñòðàöèè âñåõ ñëó÷àåâ â îïðåäåëåííîé ïîïóëÿöèè è äëÿ çàäàííîãî ïåðèîäà âðåìåíè.

Íå ñëåäóåò ïåðåîöåíèâàòü ñòàòèñòè÷åñêèå ìåòîäû êîððåêöèè ïëîõèõ èñõîäíûõ äàííûõ. Äàæå ïðåâîñõîäíûé ïîâàð íå ñïîñîáåí ïðèãîòîâèòü îòìåííîãî æàðåíîãî


Ïðèëîæåíèå 3


çàéöà èç äîõëîé êîøêè. (Ìåæäó ïðî÷èì, îäèí áîëüøîé ñåêðåò ôðàíöóçñêîé êóõíè çàêëþ÷àåòñÿ â íàñòîé÷èâîì òðåáîâàíèè èñïîëüçîâàòü òîëüêî î÷åíü õîðîøèå èíãðåäèåíòû.)

Ïðîáëåìû, ñâÿçàííûå ñ òåñòèðîâàíèåì ñòàòèñòè÷åñêèõ ãèïîòåç

Ïðè ðåöåññèâíîì íàñëåäîâàíèè î ãåíåòè÷åñêîé ãåòåðîãåííîñòè ìîæíî ñóäèòü, èñõîäÿ èç îòíîñèòåëüíûõ ÷àñòîò áëèçêîðîäñòâåííûõ áðàêîâ (îñîáåííî áðàêîâ… Õîòÿ òåîðåòè÷åñêè òàêîé àðãóìåíò óáåäèòåëåí, íà ïðàêòèêå åãî ñëåäóåò…  

Ïðèëîæåíèå 3 193

Òàáëèöà Ï.3.2.Âû÷èñëåíèå ýôôåêòîâ ïîðÿäêà ðîæäåíèÿ. Ñðåäíåå çíà÷åíèå (æèðíûé øðèôò) è äèñïåðñèÿ âåëè÷èíû â ïîëíîì ñèáñòâå [698]

 

 
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Ïðèëîæåíèå 3


 

òåëè ñîñòîÿò â ðîäñòâå, ïîñêîëüêó áîëüøèíñòâî èç ýòèõ áîëüíûõ áóäóò ðåöåññèâíûìè ãîìîçèãîòàìè. Ìîæíî îöåíèòü ÷èñëî ñïîðàäè÷åñêèõ ñëó÷àåâ, ñíîâà èñïîëüçóÿ áèíîìèàëüíîå ðàñïðåäåëåíèå (ïðèìåð ïðèâåäåí íèæå).
Ïîðÿäîê ðîæäåíèÿ è âîçðàñò ìàòåðè. Ãèïîòåçà ïðîñòîãî òèïà íàñëåäîâàíèÿ ïðåäñêàçûâàåò òàêæå, ÷òî ïîñëåäîâàòåëüíîñòü ïîðàæåííûõ è íåïîðàæåííûõ ñèáñîâ ñëó÷àéíà è ÷òî íåò âëèÿíèÿ ïîðÿäêà ðîæäåíèÿ èëè âîçðàñòà îòöà èëè ìàòåðè. Íàèáîëåå îáùèå êðèòåðèè ñëó÷àéíîñòè ïîñëåäîâàòåëüíîñòåé áàçèðóþòñÿ íà òåîðèè ñëó÷àéíûõ ïðîöåññîâ è àäàïòèðîâàíû ê èñïîëüçîâàíèþ â àíàëèçå ðîäîñëîâíûõ ÷åëîâåêà. Ñòàðîå óòâåðæäåíèå, ÷òî ïðè àíåìèè Ôàíêîíè ñèáñû, ïîðàæåííûå ðåöåññèâíîé áîëåçíüþ êðîâè (ðàçä. 5.1.6) îáðàçóþò êëàñòåðû âíóòðè ñèáñòâ, íåäàâíî áûëî îïðîâåðãíóòî òåñòîì, îñíîâàííûì íà òåîðèè ñëó÷àéíûõ ïðîöåññîâ [895].
Ïðèìåðû ýôôåêòîâ âîçðàñòà îòöà è ìàòåðè ïðèâåäåíû â ãë. 5. Âåñüìà ïîëåçíûì ïîäõîäîì ñëåäóåò ñ÷èòàòü èññëåäîâàíèå ïîðÿäêà ðîæäåíèÿ. Î÷åâèäíî, ÷òî ïîðÿäîê ðîæäåíèÿ êîððåëèðóåò ñ âîçðàñòîì îòöà èëè ìàòåðè è ìîæåò èññëåäîâàòüñÿ ñàì ïî ñåáå ïî ñåìåéíûì äàííûì áåç îáðàùåíèÿ ê êîíòðîëüíîé ïîïóëÿöèè. Áûë òàáóëèðîâàí ïîëåçíûé êðèòåðèé [698]. Ïóñòü Àñóììà ïîðÿäêîâ ðîæäåíèÿ ïîðàæåííûõ ñèáñîâ, s — ÷èñëî âñåõ ñèáñîâ è r - ÷èñëî ïîðàæåííûõ ñèáñîâ â ñèáñòâå. Òîãäà ìàòåìàòè÷åñêîå îæèäàíèå è äèñïåðñèÿ âåëè÷èíû (êîòîðóþ ïðîùå òàáóëèðîâàòü, ÷åì À), êîãäà ìîæíî êëàññèôèöèðîâàòü âñåõ ñèáñîâ, ðàâíû
Å(6À) = 3r(s + 1), V(6A) = 3r(s + 1)(s - r).
Ïðè íåïîëíîé êëàññèôèêàöèè (ñì. îðèãèíàë) ôîðìóëû ñëîæíåå. Ìàòåìàòè÷åñêèå îæèäàíèÿ è äèñïåðñèè ïðèâåäåíû â òàáë. Ï.3.2.
Ïðàêòè÷åñêèé ïðèìåð ñåãðåãàöèîííîãî àíàëèçà ñ èñïîëüçîâàíèåì áîëüøîé âûáîðêè: ïîëíàÿ ãëóõîíåìîòà
Çäåñü ìû ðàññìîòðèì íà êîíêðåòíîì ïðèìåðå íåêîòîðûå ìåòîäû, îïèñàííûå â ðàçä. 3.3.6 è ïðèëîæåíèè 3. Ñòåâåíñîí è ×èçìåí (1955) [899] ñîáðàëè âñå ñëó÷àè

 

ïîëíîé ãëóõîíåìîòû â Ñåâåðíîé Èðëàíäèè. Íà ìîìåíò îáñëåäîâàíèÿ áûëè æèâû 613 ãëóõèõ, êîòîðûå ðîäèëèñü ñ ýòèì äåôåêòîì èëè î÷åíü ðàíî ïîòåðÿëè ñëóõ. Êðîìå òîãî, ó àâòîðîâ èìåëèñü äîïîëíèòåëüíûå äàííûå î 85 ëèøåííûõ ñëóõà ëþäÿõ, êîòîðûõ óæå íå áûëî â æèâûõ.
Ðåãèñòðàöèÿ ñåìåé. Ñâåäåíèÿ î ãëóõîíåìûõ õðàíÿòñÿ â àðõèâàõ áëàãîòâîðèòåëüíûõ èëè ìåäèöèíñêèõ ó÷ðåæäåíèé. Ïîñêîëüêó èññëåäîâàòåëè íàëàäèëè êîíòàêò ñî âñåìè âðà÷àìè â Ñåâåðíîé Èðëàíäèè, ðåãèñòðàöèþ ìîæíî ñ÷èòàòü äîñòàòî÷íî ïîëíîé. Õîòÿ íåñêîëüêî ïðîáàíäîâ áûëè çàðåãèñòðèðîâàíû êîñâåííî ÷åðåç ïîðàæåííûõ ðîäñòâåííèêîâ, äàæå â ýòèõ ñëó÷àÿõ â àðõèâàõ áûëè íàéäåíû çàïèñè îäíîãî èëè äðóãîãî òèïà. À ýòî îçíà÷àåò, ÷òî â ñîîòâåòñòâèè ñ äàííûì âûøå îïðåäåëåíèåì, âñå ïîðàæåííûå ìîãóò ñ÷èòàòüñÿ ïðîáàíäàìè. Ïîñêîëüêó èíäèâèäû ðåãèñòðèðîâàëèñü ïî êðàéíåé ìåðå äâóìÿ ñïîñîáàìè, ìîæíî ïðåäïîëîæèòü ïîëíûé èëè óñå÷åííûé îòáîð.
Ñåìåéíûå äàííûå ñîáèðàëè â ïðîöåññå ëè÷íûõ âèçèòîâ îäíîãî èç àâòîðîâ èëè èõ ñîòðóäíèêîâ. Èõ äîïîëíÿëè, íàñêîëüêî ýòî âîçìîæíî, ôèçè÷åñêèìè îáñëåäîâàíèÿìè è äðóãèìè îáúåêòèâíûìè äàííûìè. Çäåñü îêàçûâàëèñü ïîëåçíûìè çàïèñè, ïðîèçâîäèìûå â ñïåöèàëüíûõ øêîëàõ îòíîñèòåëüíî ïîðàæåííûõ ðîäñòâåííèêîâ, ðîäñòâî ðîäèòåëåé è äðóãèå ïîäîáíîãî ðîäà äàííûå. ×àñòîòà ïðèçíàêà ñîñòàâèëà 45 ñëó÷àåâ íà 100000 æèòåëåé.
Êëèíè÷åñêèå àñïåêòû. Êëèíè÷åñêîå îáñëåäîâàíèå áîëüíûõ ïðîâîäèëè äëÿ òîãî, ÷òîáû ðàñøèðèòü çíàíèå î ïàòîãåíåçå è ñèìïòîìàõ è èñêëþ÷èòü òå ñðåäîâûå àãåíòû, êîòîðûå ìîãëè âûçâàòü ãëóõîíåìîòó â ðàííåì äåòñòâå (íàïðèìåð, êðàñíóõà, ýðèòðîáëàñòîç, îòîòîêñè÷íûå ëåêàðñòâà, ïåðèíàòàëüíàÿ òðàâìà, ýíöåôàëèò, ìåíèíãèò è îòèò). Îäíàêî ÷àñòî íà îñíîâå òîëüêî êëèíè÷åñêèõ è àóäèîìåòðè÷åñêèõ äàííûõ íåâîçìîæíî áûëî ïîñòàâèòü äèàãíîç. Ðåçóëüòàòû îáñëåäîâàíèÿ â ñî÷åòàíèè ñ èñòîðèåé áîëåçíè ïîçâîëèëè èñêëþ÷èòü èç âûáîðêè 183 æèâóùèõ è 2 óìåðøèõ áîëüíûõ.

 

 


Ïðèëîæåíèå 3 195


Ãåíåòè÷åñêèé àíàëèç. Îòäåëüíî àíàëèçèðîâàëè ñëåäóþùèå òðè òèïà ñåìåé:
1) ðîäèòåëè Ã x Ã,
2) ðîäèòåëè Ã x Η,
3) ðîäèòåëè Η x Η
(Ã -íàñëåäñòâåííàÿ ãëóõîíåìîòà, Η -íåïîðàæåííûé).
Äàííûå äëÿ òðåòüåé ãðóïïû (Η x Η) ïðèâåäåíû â òàáë. Ï.3.1. Ïðåäâàðèòåëüíîå èññëåäîâàíèå è áîëüøîå ÷èñëî íåïîðàæåííûõ ñèáñîâ ïðåäïîëàãàþò àóòîñîìíî-ðåöåññèâíûé òèï íàñëåäîâàíèÿ. Ñëåäîâàòåëüíî, èñïîëüçóåòñÿ îïèñàííûé âûøå ìåòîä òåñòèðîâàíèÿ è íàáëþäàåìûå ÷àñòîòû ñðàâíèâàþò ñ èõ îæèäàåìûìè çíà÷åíèÿìè ïðè ïîëíîì îòáîðå. Îäíàêî ïîëó÷åííûé ðåçóëüòàò íå ñîâìåñòèì ñ ãåíåòè÷åñêîé ãèïîòåçîé. Èìååòñÿ âûñîêî çíà÷èìûé íåäîñòàòîê ïîðàæåííûõ (χ2 = 26,60 ñ 1 ñò. ñâ.).
Ýòîò ðåçóëüòàò ïîêàçûâàåò íåñîâåðøåíñòâî ìåòîäà òåñòèðîâàíèÿ ïî ñðàâíåíèþ ñ ìåòîäîì îöåíêè. Åñëè â ïåðâîì ñëó÷àå ìû ïðîñòî ïîëó÷àåì îòðèöàòåëüíûé îòâåò, òî âî âòîðîì ìû îêàçûâàåìñÿ â ñîñòîÿíèè îöåíèòü ñåãðåãàöèîííîå îòíîøåíèå â ýòèõ ñåìüÿõ.
Òàêèì îáðàçîì, öåëåñîîáðàçíî èñïîëüçîâàòü ìåòîä îöåíêè ñ èñõîäíûìè çíà÷åíèÿìè ρ = 0,20 è q = 0,80 (óðàâíåíèå Ï.3.1)
Ýòî çíà÷åíèå íàìíîãî íèæå èñõîäíîãî 0,20, ïîýòîìó âû÷èñëåíèå ïîâòîðÿåòñÿ ñ ρ = 0,15 è q = 0,85.  ðåçóëüòàòå ïîëó÷àåì

 

 

 

Èíòåðïîëÿöèÿ èìååò âèä
Ïðèðàâíèâàÿ ïðàâûå ÷àñòè, ïîëó÷àåì x= p = 0,1791.
Ýòî çíà÷åíèå ìîæíî èñïîëüçîâàòü äëÿ âû÷èñëåíèÿ äèñïåðñèè (óðàâíåíèå Ï.3.2)
íèå îòëè÷àåòñÿ îò îæèäàåìîãî ïðè ðåöåññèâíîì íàñëåäîâàíèè. Êðîìå òîãî, èçâåñòíî, ÷òî â äîñòàòî÷íîì êîëè÷åñòâå ñëó÷àåâ ïðèçíàê èìååò ýêçîãåííóþ ïðèðîäó. Âîçìîæíî, àâòîðàì íå óäàëîñü èñêëþ÷èòü âñå òàêèå ñëó÷àè èç ñâîèõ äàííûõ. Ñëåäîâàëî áû âûäåëèòü èõ êàê ñïîðàäè÷åñêèå, êîòîðûå óâåëè÷èâàþò ÷èñëî ñåìåé òîëüêî ñ îäíèì ïîðàæåííûì (òàáë. Ï.3.3).
Îæèäàåìîå çíà÷åíèå ýòîé âåëè÷èíû, âû÷èñëåííîå èç òàáë. Ï.3.3, ðàâíî 181,56, à ðåàëüíî íàáëþäàåìîå - 198. Ïî ôîðìóëå Ï. 3.5 äèñïåðñèÿ ïîëó÷àåòñÿ 59,052. Ñðàâíåíèå äàåò χ2 = (198 —
Òàáëèöà Ï.3.3. Îòâåò íà âîïðîñ: ÷àùå ëè âñòðå÷àþòñÿ ñèáñòâà ñ îäíèì ïîðàæåííûì, ÷åì ìîæíî îæèäàòü?
Ðàçìåð ñèáñòâà ×èñëî ñèáñòâ ñ Îáùåå — ÷èñëî ñèáñòâ ns
s
  ïîðàæåííûìè äåòüìè    
     
3 4 5 6 30 29 26 7 3 5 9 2 2 4 5     9 5 9 14 39 34 35 49
 
8 9 10 15 7 4 9 4 1 3 1 1 1 3 2 18 8 33 15 6
   
12 13 2 1     2 0 4 1
Âñåãî

196 Ïðèëîæåíèå 3


ðîííèé êðèòåðèé), ò.å. ñïîðàäè÷åñêèõ ñëó÷àåâ ñëèøêîì ìíîãî, ïîýòîìó ïîëàãàåì rmin = 2. Òåïåðü, èñïîëüçóÿ ôîðìóëû äëÿ Âs è Ws èç óðàâíåíèÿ Ï.3.1, ïîëó÷àåì äëÿ k = 0: ôîðìóëû äëÿ rmin = 1, k = 1, ãäå s çàìåíåíî íà s — 1;
Ñëåäîâàòåëüíî, îïðåäåëåíèå p íóæíî ïîâòîðèòü, èñïîëüçóÿ òîëüêî ñèáñòâà ïî êðàéíåé ìåðå ñ äâóìÿ ïîðàæåííûìè (90 ñèáñòâ ñ 234 ñèáñàìè). Íàøà ïðåäâàðèòåëüíàÿ îöåíêà P ñîñòàâëÿåò 0,25. Ðàñ÷åò äàåò
Çàòåì ðàñ÷åò, ïîâòîðåííûé äëÿ p = 0,30, äàåò
Îêîí÷àòåëüíóþ îöåíêó ïîëó÷àåì ïóòåì èíòåðïîëÿöèè. Ñòàíäàðòíîå îòêëîíåíèå ìîæíî âû÷èñëèòü ïî ôîðìóëå (Ï. 3.2): p = 0,27051 ± 0,02642.
Ïîëó÷åííàÿ òåïåðü âåëè÷èíà î÷åíü õîðîøî ñîãëàñóåòñÿ ñ îæèäàåìûì ñåãðåãàöèîííûì îòíîøåíèåì 0,25. Íà åå îñíîâå ìîæíî îöåíèòü ÷èñëî ñïîðàäè÷åñêèõ ñëó÷àåâ, íå íàñëåäóþùèõñÿ â ñåìüÿõ ïî êðàéíåé ìåðå ñ äâóìÿ ïîðàæåííûìè, à òîëüêî â ñåìüÿõ ñ îäíèì ïîðàæåííûì.
Êîíå÷íî, ìîæíî ñïîðèòü, ÷òî â ýòîì ñëó÷àå ïðåäïî÷òèòåëüíåå èñïîëüçîâàíèå òåîðåòè÷åñêîãî ñåãðåãàöèîííîãî îòíîøåíèÿ 0,25. Èìåþòñÿ àðãóìåíòû êàê çà, òàê è ïðîòèâ ýòîãî. Îäíàêî ðàçëè-

 

 

 

Òàáëèöà Ï.3.4. Ñèáñòâà èç áëèçêîðîäñòâåííûõ áðàêîâ
Ðàçìåð ñèáñòâà ×èñëî ñèáñòâ ñ Îáùåå ÷èñëî ñèáñòâ ïs ×èñëî äåòåé
s Ïîðàæåííûõ çäîðîâûõ âñåãî
  ïîðàæåííûìè äåòüìè  
        4
      5
     
     
   
6      
   
   
     
     
       
Âñåãî
÷èå ìàëî.  ñëó÷àå òåîðåòè÷åñêîãî ñåãðåãàöèîííîãî îòíîøåíèÿ áûëî áû ïîëó÷åíî = = 193,08 ñåìåé. Íà ñàìîì äåëå èõ îêàçàëîñü 288. Ýòî îçíà÷àåò, ÷òî ñðåäè ñïîðàäè÷åñêèõ ñëó÷àåâ â ñðåäíåì äîëæíî áûòü 107,97 íåíàñëåäñòâåííûõ. Ïîìèìî ýòîãî èìååòñÿ 21 ñëó÷àé, äëÿ êîòîðîãî íåò òàêîé èíôîðìàöèè, ïîñêîëüêó ýòî îäèíî÷íûå äåòè. Åñëè ìû ïðåäïîëîæèì, ÷òî ñðåäè íèõ ñóùåñòâóåò òà æå äîëÿ íåíàñëåäñòâåííûõ ñëó÷àåâ, ò.å. 21 x 108/432 = 5,25 ñëó÷àåâ, òî â ñóììå ïîëó÷èì 113,22 íåíàñëåäñòâåííûõ ñëó÷àÿ (= 24,99%) èç 432 + 21 = 453 ñëó÷àåâ, ãäå îáà ðîäèòåëÿ íåïîðàæåíû.
Àëüòåðíàòèâíûé ñïîñîá èçó÷åíèÿ ïðîáëåìû íåíàñëåäñòâåííûõ ñëó÷àåâ çàêëþ÷àåòñÿ â îöåíêå ñåãðåãàöèîííîãî îòíîøåíèÿ òîëüêî ñðåäè äåòåé èç áëèçêîðîäñòâåííûõ áðàêîâ (òàáë. Ï.3.4).  ýòîì ñëó÷àå âåëè÷èíà ðàâíà p = 0,269 + 0,038, ò.å. ñîâïàäàåò ñ îöåíêîé, ïîëó÷åííîé äëÿ ñåìåé ïî êðàéíåé ìåðå ñ äâóìÿ ïîðàæåííûìè äåòüìè.
Äî ñèõ ïîð ìû àíàëèçèðîâàëè òîëüêî áðàê äâóõ çäîðîâûõ ëþäåé. Èññëåäóåì òåïåðü áðàêè ìåæäó äâóìÿ ïîðàæåííûìè (òàáë. Ï.3.5). Ýòîò òèï áðàêà âåñüìà ðàñïðîñòðàíåí: àññîðòàòèâíîå ñêðåùèâàíèå ïðåäîïðåäåëÿåòñÿ ñèñòåìîé îáðàçîâàíèÿ, êîòîðàÿ ñîçäàåò «ñîöèàëüíûé èçîëÿò» äëÿ ãëóõîíåìûõ. Åñëè áû ãëóõîíåìîòà âñåãäà âûçûâàëàñü îäíèì è òåì æå ðåöåññèâíûì ãåíîì, òî âñå äåòè â ýòèõ áðàêàõ áûëè áû ëèøåíû ñëóõà. Òàêàÿ ñèòóàöèÿ èìååò ìåñòî òîëüêî â 5 ñèáñòâàõ, òîãäà êàê â 6 áðàêàõ íàáëþäàþòñÿ êàê ïîðàæåí-

Ïðèëîæåíèå 3 197


 

 

Òàáëèöà Ï.3.5. Ñèáñòâà èç áðàêîâ òèïà ãëóõîíåìîé õ ãëóõîíåìîé ïî êðàéíåé ìåðå ñ îäíèì ïîðàæåííûì ðåáåíêîì
Ðàçìåð ñèáñòâà s ×èñëî ñèáñòâ ñ Îáùåå ÷èñëî ñèáñòâ ns ×èñëî äåòåé
  ïîðàæåííûõ çäîðîâûõ âñåãî
  ïîðàæåííûìè äåòüìè  
         
     
     
         
       
       
Âñåãî

íûå, òàê è íåïîðàæåííûå äåòè. Ïîìèìî ýòîãî àâòîðû çàðåãèñòðèðîâàëè íå ìåíåå 21 áðàêà ìåæäó ãëóõîíåìûìè ïàðòíåðàìè, ÷üè äåòè (âñåãî 53) áûëè çäîðîâû. Àíàëèçèðóÿ ýòè äàííûå, ìîæíî áûëî áû ñäåëàòü âûâîä, ÷òî ñóùåñòâóåò ãåíåòè÷åñêàÿ ãåòåðîãåííîñòü, â îñíîâå êîòîðîé ëåæèò ðÿä ðàçíûõ ðåöåññèâíûõ ãåíîâ. Îäíàêî íåîáõîäèìî ó÷èòûâàòü è äðóãóþ âîçìîæíîñòü: ãëóõîíåìîòà ìîæåò èìåòü ýêçîãåííóþ ïðèðîäó. Ñâèäåòåëüñòâà ýòîìó áûëè îáíàðóæåíû â ñåìüÿõ ñ äâóìÿ ïîðàæåííûìè ñóïðóãàìè â 12 ñëó÷àÿõ è â ñåìüÿõ ñ îäíèì ïîðàæåííûì ñóïðóãîì â 5 ñëó÷àÿõ.

Èíôîðìàöèÿ, êîòîðóþ ìîæíî ïîëó÷èòü èç áðàêîâ äâóõ ïîðàæåííûõ, ìíîãîîáðàçíà. Ðàññìîòðèì òå èç íèõ, â êîòîðûõ èìåþòñÿ êàê ïîðàæåííûå, òàê è íåïîðàæåííûå äåòè (íå ìåíåå 6 áðàêîâ c 11 çäîðîâûìè è 14 áîëüíûìè äåòüìè). Òàêèå áðàêè íåëüçÿ îáúÿñíèòü íè ãåíåòè÷åñêîé ãåòåðîãåííîñòüþ, íè ýêçîãåííûìè ôàêòîðàìè. Íàèáîëåå î÷åâèäíîå îáúÿñíåíèå ñîñòîèò â òîì, ÷òî ïîìèìî ðåöåññèâíûõ ìóòàöèé, äåòåðìèíèðóþùèõ ãëóõîíåìîòó, èìåþòñÿ òàêæå äîìèíàíòíûå.

Ïðîàíàëèçèðóåì òåïåðü òðåòèé òèï áðàêà: ãëóõîíåìîé x çäîðîâûé (òàáë. Ï.3.6). Îáñëåäîâàíî 45 òàêèõ áðàêîâ ïî êðàéíåé ìåðå ñ îäíèì ðåáåíêîì.  39 èç íèõ íàáëþäàëèñü òîëüêî çäîðîâûå äåòè, îáùèì ÷èñëîì 102. Î÷åâèäíî, ýòà ñèòóàöèÿ íå ïðîòèâîðå÷èò ãèïîòåçå î òîì, ÷òî ïîðàæåííûé ðîäèòåëü ñòðàäàåò ðåöåñ-


ñèâíûì òèïîì çàáîëåâàíèÿ. Îäíàêî èìååòñÿ 6 áðàêîâ ïî êðàéíåé ìåðå ñ îäíèì ïîðàæåííûì ðåáåíêîì.  ñîîòâåòñòâèè ñ óðàâíåíèÿìè Ï.3.1 è Ï.3.2 äëÿ ñëó÷àÿ k = 1 îöåíêà ñåãðåãàöèîííîãî îòíîøåíèÿ ðàâíà p = 0,548 ± 0,119.

Ïî-âèäèìîìó, òàêèå áðàêè ìîæíî òðàêòîâàòü êàê áðàêè ìåæäó ãåòåðîçèãîòàìè è ãîìîçèãîòàìè.  ýòîì ñëó÷àå èìåþòñÿ äâå âîçìîæíîñòè: ëèáî ìóòàöèè, îáóñëîâëèâàþùèå ïàòîëîãèþ - äîìèíàíòíûå (â ýòîì ñëó÷àå ïîðàæåííûé ðîäèòåëü ãåòåðîçèãîòåí, à íåïîðàæåííûéãîìîçèãîòåí), ëèáî ðåöåññèâíûå (â ýòîì ñëó÷àå íåïîðàæåííûé ðîäèòåëü ãåòåðîçèãîòåí, à ïîðàæåííûé-ãîìîçèãîòåí). Èìåþùèåñÿ 6 áðàêîâ íå ïîçâîëÿþò äèñêðèìèíèðîâàòü ýòè äâå âîçìîæíîñòè. Íà ïåðâûé âçãëÿä êàæåòñÿ íåâåðîÿòíûì, ÷òî 6 èç 45 ïîðàæåííûõ ñëó÷àéíî èìåëè ñóïðóãàãåòåðîçèãîòó Îäíàêî ýòîò àðãóìåíò ñíèìàåòñÿ âûñîêèì óðîâíåì àññîðòàòèâíîñòè áðàêîâ â ñåìüÿõ ãëóõîíåìûõ, êîòîðàÿ, åñòåñòâåííî, ïðèâîäèò íå òîëüêî ê áðàêàì ìåæäó ïîðàæåííûìè, íî òàêæå ìåæäó ïîðàæåííûìè è ãåòåðîçèãîòàìè, íàïðèìåð ñèáñàìè è äðóãèìè áëèçêèìè ðîäñòâåííèêàìè ãëóõîíåìûõ.

Ïîïóëÿöèîííàÿ ãåíåòèêà ãëóõîíåìîòû. Àâòîðû ñðàâíèâàëè ðåïðîäóêòèâíûå ñïîñîáíîñòè áîëüíûõ ñ òàêîâûìè â îáùåé ïîïóëÿöèè òîãî æå âîçðàñòà (êîòîðûé, êñòàòè, áûë î÷åíü âûñîêèì). Äîëÿ âñòóïèâøèõ â áðàê è ñðåäíåå ÷èñëî äåòåé áûëè íåñêîëüêî ñíèæåíû. Ýòîò ðåçóëüòàò ïîäòâåðæäàåò âûâîä î òîì, ÷òî ñðåäè «íåíàñëåäñòâåííûõ ñëó÷àåâ» ìîãóò âñòðåòèòüñÿ ëèöà ñ íîâûìè äîìèíàíòíûìè ìóòàöèÿìè. Îäíàêî èõ ÷èñ-

 

Òàáëèöà Ï.Ç.á. Ñèáñòâà èç áðàêîâ òèïà ãëóõîíåìîé x çäîðîâûé ïî êðàéíåé ìåðå ñ îäíèì ïîðàæåííûì ðåáåíêîì
Ðàçìåð ñèáñòâà s ×èñëî ñèáñòâ ñ Îáùåå ÷èñëî ñèáñòâ ïs ×èñëî äåòåé
      ïîðàæåííûõ     çäîðîâûõ     âñåãî    
  ïîðàæåííûìè äåòüìè  
       
       
       
       
Âñåãî    

 


198 Ïðèëîæåíèå 3


 

ëî íåâîçìîæíî îöåíèòü äàæå ïðèáëèçèòåëüíî. Êðîìå òîãî, âàæíî ïîìíèòü, ÷òî ñóùåñòâîâàíèå äîìèíàíòíûõ òèïîâ òî÷íî íå äîêàçàíî. Ñëåäîâàòåëüíî, îöåíêà óðîâíÿ ñîîòâåòñòâóþùèõ ìóòàöèé, îñíîâàííàÿ íà òàêèõ äàííûõ, íåêîððåêòíà. Äëÿ ðåöåññèâíûõ òèïîâ òàêæå íåëüçÿ ïîëó÷èòü îöåíêè ìóòàöèîííîãî óðîâíÿ (ðàçä. 5.1.3.1).
Êàê óêàçàíî â òàáë. Ï.3.5, ìíîãèå áðàêè ìåæäó çäîðîâûìè, â êîòîðûõ îáíàðóæèâàþòñÿ äåòè ñ äåôåêòàìè ñëóõà, ýòî áðàêè áëèçêîðîäñòâåííûå. Òåîðåòè÷åñêè òàêèå íàáëþäåíèÿ ìîæíî èñïîëüçîâàòü äëÿ äàëüíåéøåãî àíàëèçà ãåíåòè÷åñêîé ãåòåðîãåííîñòè. Ïóñòü q áóäåò ÷àñòîòîé ðåöåññèâíîãî àëëåëÿ, à ñ - ÷àñòîòîé áðàêîâ äâîþðîäíûõ áðàòüåâ è ñåñòåð. Òîãäà îòíîñèòåëüíàÿ ÷àñòîòà g áðàêîâ äâîþðîäíûõ áðàòüåâ è ñåñòåð ñðåäè ðîäèòåëåé ãîìîçèãîò çàâèñèò îò q. Îíà âû÷èñëÿåòñÿ ïî ôîðìóëå (ðàçä. 6.3.1.2)

 ýòîé âûáîðêå q2 = 0,00027. Ïðè ñ = 0,1% g áóäåò 0,47%, åñëè ïðåäïîëîæèòü íàëè÷èå òîëüêî îäíîãî ðåöåññèâíîãî ãåíà. Äëÿ ñ = 1% g ðàâíî 4,57%. Ðåàëüíàÿ äîëÿ ñ äëÿ ñåâåðîèðëàíäñêîé ïîïóëÿöèè òîãî æå âîçðàñòà îöåíèâàëàñü àâòîðàìè âåëè÷èíîé 0,1% - 0,4%. 6,8% áëèçêîðîäñòâåííûõ áðàêîâ ñðåäè ïðîàíàëèçèðîâàííûõ ñåìåé íåñîâìåñòèìû ñ ïðåäïîëîæåíèåì îá îäíîì ðåöåññèâíîì ãåíå, ýòîò ðåçóëüòàò ñâèäåòåëüñòâóåò î ãåíåòè÷åñêîé ãåòåðîãåííîñòè.

Îäíàêî ñàì ýòîò àðãóìåíò ñëåäóåò ðàññìàòðèâàòü îñòîðîæíî. Èçîëÿòû âíóòðè ïîïóëÿöèè ìîãóò âûçâàòü òîò æå ýôôåêò. À ñîöèàëüíàÿ ãðóïïà, îáðàçóåìàÿ ãëóõîíåìûìè è èõ ñåìüÿìè, îáëàäàåò ìíîãèìè ñâîéñòâàìè ñîöèàëüíîãî èçîëÿòà. Íåò íåîáõîäèìîñòè äîáàâëÿòü, ÷òî âûÿñíåíèå ÷èñëà âîâëå÷åííûõ ðåöåññèâíûõ ãåíîâ (õîòÿ áû ôîðìàëüíîå, åñëè ÷àñòîòû ýòèõ ãåíîâ ïðåäïîëàãàòü èäåíòè÷íûìè) ïîòðåáîâàëî áû òàê ìíîãî íåòåñòèðîâàííûõ è íåòåñòèðóåìûõ ïðåäïîëîæåíèé, ÷òî òàêîå âû÷èñëåíèå ïðîñòî íåîïðàâäàííî.

Âûâîäû. Ðàññìàòðèâàåìàÿ âûáîðêà âêëþ÷àåò âñå ñëó÷àè âðîæäåííîé è ðàíî íà÷àâøåéñÿ ãëóõîíåìîòû â Ñåâåðíîé Èðëàíäèè.

Íà îñíîâå êëèíè÷åñêèõ îáñëåäîâàíèé íåñêîëüêî ñëó÷àåâ áûëè äèàãíîñòèðîâàíû êàê ýêçîãåííûå è èñêëþ÷åíû èç äàëüíåé-


øåãî àíàëèçà. Îäíàêî êëèíè÷åñêèå äàííûå íå ïîçâîëèëè âûÿâèòü âñåõ áîëüíûõ, ãëóõîòà êîòîðûõ áûëà ñâÿçàíà ñ ýêçîãåííûìè ïðè÷èíàìè, è èõ àíàëèçèðîâàëè âìåñòå ñ áîëüíûìè, èìåþùèìè äåôåêò íàñëåäñòâåííîãî ïðîèñõîæäåíèÿ.

Ñîîòíîøåíèå ðàçëè÷íûõ òèïîâ ïîòîìñòâà â áðàêàõ àíàëèçèðîâàëè ñòàòèñòè÷åñêè. Áðàêè ìåæäó íåïîðàæåííûìè äàëè çíà÷èìî ìåíüøóþ îöåíêó ñåãðåãàöèîííîãî îòíîøåíèÿ ð, ÷åì îæèäàåìîå ïðè ðåöåññèâíîì íàñëåäîâàíèè çíà÷åíèå 0,25. Êàê ïîêàçàë äàëüíåéøèé àíàëèç, ýòà áîëåå íèçêàÿ îöåíêà ÿâëÿåòñÿ ñëåäñòâèåì ïðèìåñè ñïîðàäè÷åñêèõ ñëó÷àåâ. Îãðàíè÷åíèå ñòàòèñòè÷åñêîãî àíàëèçà ñèáñòâàìè ïî êðàéíåé ìåðå ñ äâóìÿ ïîðàæåííûìè äåòüìè èëè äåòüìè èç áëèçêîðîäñòâåííûõ áðàêîâ äàåò îöåíêè, ñîãëàñóþùèåñÿ ñ îæèäàåìûìè ïðè àóòîñîìíî-ðåöåññèâíîì íàñëåäîâàíèè. Áûëà îöåíåíà äîëÿ ñïîðàäè÷åñêèõ ñëó÷àåâ âî âñåõ ñèáñòâàõ òîëüêî ñ îäíèì ïîðàæåííûì ðåáåíêîì è íåïîðàæåííûìè ðîäèòåëÿìè. Îêàçàëîñü, ÷òî ìíîãèå èç ýòèõ ñïîðàäè÷åñêèõ ñëó÷àåâ, î÷åâèäíî, èìåþò íåíàñëåäñòâåííîå ïðîèñõîæäåíèå, ïîäòâåðæäàÿ êëèíè÷åñêèé îïûò, ñâèäåòåëüñòâóþùèé î ðîëè ýêçîãåííûõ ôàêòîðîâ. Îäíàêî íåêîòîðûå èç íèõ ìîãóò áûòü ñëåäñòâèåì äîìèíàíòíûõ ìóòàöèé, îñîáåííî ïîòîìó, ÷òî áðàêè ãëóõîíåìûõ ñ íåïîðàæåííûìè èëè äðóã ñ äðóãîì ïðèâîäèëè ê ñóùåñòâåííî ìåíüøåìó êîëè÷åñòâó ñëó÷àåâ, êîòîðûå íàèëó÷øèì îáðàçîì ñîîòâåòñòâóþò êðèòåðèþ äîìèíàíòíîãî íàñëåäîâàíèÿ.

Âíóòðè àóòîñîìíî-ðåöåññèâíîé ãðóïïû ãåíåòè÷åñêàÿ ãåòåðîãåííîñòü ïîäòâåðæäàëàñü òåì, ÷òî â áîëüøèíñòâå áðàêîâ äâóõ ïîðàæåííûõ äåòè èìåëè íîðìàëüíûé ñëóõ.  ïîëüçó ýòîãî âûâîäà ãîâîðèëî íàëè÷èå îòíîñèòåëüíî áîëüøîãî ÷èñëà áëèçêîðîäñòâåííûõ áðàêîâ ñðåäè íåïîðàæåííûõ ðîäèòåëåé ãëóõîíåìûõ. Ïî íàøåìó ìíåíèþ, íèêàêèõ äðóãèõ âûâîäîâ èç ýòîãî èññëåäîâàíèÿ ñäåëàòü íåëüçÿ.

Ïî÷åìó òàê ïîäðîáíî îáñóæäàëñÿ ýòîò ïðèìåð? ×òîáû ïîêàçàòü, ÷òî ñåãðåãàöèîííûé àíàëèç, èñïîëüçóþùèé ðåêîìåíäóåìûå çäåñü ìåòîäû, ìîæåò áûòü ïðîâåäåí ñàìèì èññëåäîâàòåëåì. Íà ðåãèñòðàöèþ è îáñëåäîâàíèå ñåìåé, êàê ïðàâèëî, îí òðàòèò ìíîãî ìåñÿöåâ è äàæå ëåò. Âàæíî îòâåñòè


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íåîáõîäèìîå âðåìÿ è íà ñòàòèñòè÷åñêèé àíàëèç. Ïðîâåäåíèå åãî èññëåäîâàòåëåì, ñîáðàâøèì äàííûå, äàåò îäíî áîëüøîå ïðåèìóùåñòâî. Êàæäûé øàã òàêîãî àíàëèçà ìîæíî îöåíèâàòü â ñâåòå óæå ñîáðàííîé èíôîðìàöèè, êëèíè÷åñêèõ ðåçóëüòàòîâ è ïðåäâàðèòåëüíîãî çíàíèÿ ïîïóëÿöèè. Íèêòî íå «÷óâñòâóåò» äàííûå ëó÷øå, ÷åì òîò, êòî èõ ñîáèðàë. Ñëåäîâàòåëüíî, äëÿ êðèòè÷åñêîãî îñìûñëåíèÿ ìàòåðèàëà áîëüøå âñåãî ïîäõîäÿò òå èññëåäîâàòåëè, êîòîðûå åãî ñîáèðàëè. Êîíå÷íî, çäåñü íåîáõîäèì ñîâåò ñòàòèñòè÷åñêè îáðàçîâàííîãî êîëëåãè. Ñáîð ìàòåðèàëà äîëæåí ïëàíèðîâàòüñÿ è ïðîâîäèòüñÿ â ñîîòâåòñòâèè ñ õîðîøî îïðåäåëåííûìè ñòðîãèìè ïðàâèëàìè, îò êîòîðûõ íåëüçÿ îòñòóïàòü â õîäå èññëåäîâàíèÿ. Áîëüøèíñòâî ñòàòèñòè÷åñêèõ îøèáîê â ãåíåòèêå ÷åëîâåêà è âîîáùå â íàóêàõ î æèçíè âûçâàíû íå òåì, ÷òî ñòàòèñòè÷åñêèå ìåòîäû íåàäåêâàòíû ñàìè ïî ñåáå, à òåì, ÷òî ýòè ìåòîäû íåïðàâèëüíî èñïîëüçóþòñÿ. Íóæíî ïîäõîäèòü êðèòè÷åñêè ê âçàèìîîòíîøåíèþ ìåæäó ñáîðîì ìàòåðèàëà è åãî àíàëèçîì.

Äàííûå ïî ãëóõîíåìîòå áûëè ïîäâåðãíóòû ñòàòèñòè÷åñêîé îáðàáîòêå ñ èñïîëüçîâàíèåì ñëîæíûõ ìåòîäîâ. Èç ýòîãî àíàëèçà ñäåëàíû âûâîäû, êàñàþùèåñÿ ìíîãèõ ïàðàìåòðîâ, íàïðèìåð ÷àñòîòû äîìèíàíòíûõ è ðåöåññèâíûõ ìóòàöèé, êîëè÷åñòâà âîâëå÷åííûõ ðåöåññèâíûõ ãåíîâ. Ìû ñ÷èòàåì ïîëó÷åííûå âûâîäû íåäîñòàòî÷íî îáîñíîâàííûìè.

Òà æå ãðóïïà èññëåäîâàòåëåé ïðåäëàãàåò ïàêåò ïðîãðàìì äëÿ «ñåãðåãàöèîííîãî àíàëèçà», âêëþ÷àÿ îöåíèâàíèå ÷àñòîò, ðàçãðàíè÷åíèå òèïîâ íàñëåäîâàíèÿ, îöåíèâàíèå ÷èñëà ðåöåññèâíûõ ãåíîâ è óðîâíÿ ìóòàöèé [800]. Êîíå÷íî, õîðîøî èìåòü äàííûå, ïðîàíàëèçèðîâàííûå ñòàòèñòè÷åñêè áåçóïðå÷íûì ñïîñîáîì. Îäíàêî íåîáõîäèìî îñîçíàâàòü íåèçáåæíûå èçúÿíû ñâîåãî ìàòåðèàëà è íå ñ÷èòàòü êîìïüþòåðíûé àíàëèç ïàíàöååé îò âñåõ áåä.

Ãåíåòè÷åñêàÿ ãåòåðîãåííîñòü ãëóõîíåìîòû. Ñ ìîìåíòà ïóáëèêàöèè èññëåäîâàíèÿ Ñòåâåíñîíà è ×èçìåíà áûëà ïðîâåäåíà áîëüøàÿ ðàáîòà ïî èçó÷åíèþ ýòîãî ïðèçíàêà.  õîäå åå ïîäòâåðäèëàñü ãåíåòè÷åñêàÿ ãåòåðîãåííîñòü è ñóùåñòâîâàíèå äîìèíàíò-


íûõ òèïîâ. Íåñêîëüêî íàñëåäñòâåííûõ òèïîâ óäàåòñÿ òåïåðü èäåíòèôèöèðîâàòü íà îñíîâå êëèíè÷åñêèõ è áèîõèìè÷åñêè ðàñïîçíàâàåìûõ ñèìïòîìîâ [825; 669]. Ðàçâèòèå ñëóõà ó ÷åëîâåêà - ñëîæíûé ïðîöåññ, â íåì ó÷àñòâóåò ìíîæåñòâî ãåíîâ. Íàðóøåíèå â ëþáîì èç íèõ ìîæåò ïðèâåñòè ê ãëóõîòå.

Ïîïðàâêà íà ñìåùåíèÿ âñëåäñòâèå ðåãèñòðàöèè â ñåìüÿõ ïî êðàéíåé ìåðå ñ äâóìÿ ñèáñòâàìè è ñ ðàçíûìè òèïàìè ïðîáàíäîâ. ×àñòî îáñëåäóþòñÿ ñåìüè, êîòîðûå ñîäåðæàò áîëåå îäíîãî ñèáñòâà. Êðîìå òîãî, ìîãóò ñóùåñòâîâàòü ðàçíûå òèïû ïðîáàíäîâ. Íàïðèìåð, ñåìüè ñ ðåöèïðîêíûìè òðàíñëîêàöèÿìè ìîãóò áûòü çàðåãèñòðèðîâàíû ÷åðåç íîñèòåëÿ íåñáàëàíñèðîâàííîé òðàíñëîêàöèè, â áîëüøèíñòâå ñëó÷àåâ ðåáåíêà ñ ìíîæåñòâåííûìè óðîäñòâàìè. Ïðîáàíä ìîæåò áûòü íîñèòåëåì ñáàëàíñèðîâàííîé òðàíñëîêàöèè, îí ìîæåò áûòü çàðåãèñòðèðîâàí â õîäå õðîìîñîìíîãî ñêðèíèíãà, òàêîãî, íàïðèìåð, êîòîðûé ïðîâîäèòñÿ âî âçðîñëûõ íîðìàëüíûõ ïîïóëÿöèÿõ, â ïîïóëÿöèÿõ íîâîðîæäåííûõ, ñðåäè ëèö ñ çàäåðæêîé óìñòâåííîãî ðàçâèòèÿ, ñðåäè ëþáûõ èíäèâèäîâ, îáëàäàþùèõ îïðåäåëåííûìè óðîäñòâàìè, èëè ïðè èçó÷åíèè ñïîíòàííûõ àáîðòîâ. Ñåìüè, çàðåãèñòðèðîâàííûå ïî ñïîíòàííûì àáîðòàì, áóäóò èññëåäîâàíû êîððåêòíî, òîëüêî åñëè ïðîèçîøëî ïî êðàéíåé ìåðå äâà àáîðòà. Êðîìå òîãî, ðåçóëüòàòû áóäóò çàâèñåòü îò òîãî, îñíîâûâàëñÿ ëè àíàëèç íà äàííûõ îäíîãî àâòîðà èëè îíè ïîëó÷åíû â õîäå ñîâìåñòíîãî èññëåäîâàíèÿ. Ïîñëåäíèé ñëó÷àé ïðåäïî÷òèòåëåí, ïîñêîëüêó ñóùåñòâóåò ìåíüøàÿ îïàñíîñòü êîìáèíàöèè «èíòåðåñíûõ ñëó÷àåâ». Øàôåð [50la] â ñâîåì èññëåäîâàíèè ïî ñåãðåãàöèè òðàíñëîêàöèé îáñóæäàë ýòè ïðîáëåìû è âûñêàçàë ïðåäëîæåíèå îòíîñèòåëüíî ïîïðàâîê äëÿ íàèáîëåå âàæíûõ ñìåùåíèé.

Ïðè ñáîðå ñåìåéíûõ äàííûõ îáÿçàòåëüíî äîëæåí îïðåäåëÿòüñÿ òèï ðåãèñòðàöèè. Áîëüøèíñòâî îïóáëèêîâàííûõ ñëó÷àåâ îáû÷íî çàðåãèñòðèðîâàíî ÷åðåç ðåáåíêà ñ íåñáàëàíñèðîâàííîé òðàíñëîêàöèåé. Íà ïåðâûé âçãëÿä, ïî-âèäèìîìó, ïîäõîäèò ñòàòèñòè÷åñêàÿ êîððåêöèÿ â ñîîòâåòñòâèè ñ ìîäåëüþ åäèíè÷íîãî îòáîðà (k = 0) â ñèáñòâå ýòîãî ðåáåíêà-ïðîáàíäà. Ìîæíî


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Ðèñ. Ï.3.1. Ìîäåëüíàÿ ðîäîñëîâíàÿ ñ òðàíñëîêàöèÿìè. Àíàëèç ïðèâåäåí â òàáë. Ï.3.7 [501à].

ñïîðèòü î òîì, ÷òî ðåãèñòðàöèÿ òàêèõ ñåìåé çàâèñèò îò êëèíè÷åñêîãî ñòàòóñà äðóãèõ ðîäñòâåííèêîâ, ïîýòîìó ðàçóìíî ïîâòîðèòü âû÷èñëåíèÿ, èñïîëüçóÿ ìîäåëü óñå÷åííîãî îòáîðà. Èñòèííîå ñåãðåãàöèîííîå îòíîøåíèå ìîæåò îêàçàòüñÿ áëèæå ê ðåçóëüòàòó, ïîëó÷åííîìó íà îñíîâå ìîäåëè åäèíè÷íîãî îòáîðà. Îäíàêî ýòî ñïðàâåäëèâî òîëüêî â òîì ñëó÷àå, åñëè àíàëèç îñíîâûâàåòñÿ íà ñåìüÿõ, çàðåãèñòðèðîâàííûõ ÷åðåç êëèíè÷åñêè ïîðàæåííîãî èíäèâèäà.  áóäóùåì âñå áîëüøå è áîëüøå ñåìåéíûõ èññëåäîâàíèé áóäóò âêëþ÷àòü äëèòåëüíîå è ïîëíîå íàáëþäåíèå âñåõ íîâîðîæäåííûõ ñ âðîæäåííûìè ïîðîêàìè â öåëîé ïîïóëÿöèè, êàê ýòî óæå äåëàåòñÿ, íàïðèìåð, â Âåíãðèè [616; 617].  òàêèõ ñëó÷àÿõ àäåêâàòíà ìîäåëü óñå÷åííîãî îòáîðà.

Ïî-âèäèìîìó, ýòè ðîäîñëîâíûå áóäóò ñîñòîÿòü ïî êðàéíåé ìåðå èç äâóõ ñèáñòâ è õàðàêòåðèçîâàòüñÿ íàëè÷èåì äîïîëíèòåëüíûõ (âòîðè÷íûõ èëè äàæå òðåòè÷íûõ) ïðîáàíäîâ. Âñå èíäèâèäû, ïîáóäèâøèå èññëåäîâàòåëÿ ðàñøèðèòü ñâîè èçûñêàíèÿ è îáñëåäîâàòü äðóãèå ïîêîëåíèÿ èëè ñèáñòâà, äîëæíû ðàññìàòðèâàòüñÿ â


êà÷åñòâå ïðîáàíäîâ. Îáúÿñíèì ýòî íà ïðèìåðå ìîäåëüíîé ðîäîñëîâíîé (ðèñ. Ï.3.1, òàáë. Ï.3.7 [501à]).

Ñåìüÿ çàðåãèñòðèðîâàíà ÷åðåç íîñèòåëüíèöó 111,16. Îíà áûëà êàðèîòèïèðîâàíà, ïîñêîëüêó ñòðàäàëà íåâûíàøèâàíèåì áåðåìåííîñòè. Ïðîöåäóðó êàðèîòèïèðîâàíèÿ îáû÷íî ïðîâîäÿò äëÿ æåíùèí, ó êîòîðûõ ïðîèçîøëî äâà ñïîíòàííûõ àáîðòà; äâà àáîðòóñà ðàññìàòðèâàþòñÿ â êà÷åñòâå ïðîáàíäîâ ñðåäè åå äåòåé è èñêëþ÷àþòñÿ èç ïðîöåäóðû âû÷èñëåíèÿ ðèñêà äëÿ àáîðòóñîâ. 111,16 ÿâëÿåòñÿ «âòîðè÷íûì ïðîáàíäîì». Êðîìå òîãî, åñëè áû åå ìàòü (11,5) èìåëà íîðìàëüíûé êàðèîòèï, òî 111,16 ìîæíî áûëî áû ñ÷èòàòü íîñèòåëüíèöåé òðàíñëîêàöèè de novo è ñèáñòâî, ê êîòîðîìó ïðèíàäëåæèò 11,5, íå íóæíî áûëî áû îáñëåäîâàòü. Ñëåäîâàòåëüíî, 11,5 ÿâëÿåòñÿ äðóãèì âòîðè÷íûì ïðîáàíäîì è äîëæíà áûòü èñêëþ÷åíà èç ïðîöåäóðû âû÷èñëåíèÿ ðèñêà äëÿ åå ñèáñòâà. 11,4 íå áûëà êàðèîòèïèðîâàíà. Ïîñêîëüêó ó íåå íåò äåòåé, òî íåèçâåñòíî, ÿâëÿåòñÿ ëè îíà íîñèòåëåì èëè íåò. Ñëåäîâàòåëüíî, è åå ñëåäóåò èñêëþ÷èòü èç ïðîöåäóðû âû÷èñëåíèÿ ðèñêà. Áóäó÷è ñåñòðîé ïðîáàíäà, 11,11 äîëæíà áûòü îáñëåäîâàíà â ëþáîì ñëó÷àå, íåçàâèñèìî îò íàëè÷èÿ äåòåé. Ñëåäîâàòåëüíî, îíà íå ó÷èòûâàåòñÿ â êà÷åñòâå ïðîáàíäà è äîëæíà áûòü


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Òàáëèöà Ï.3.7. Äàííûå äëÿ âû÷èñëåíèÿ ðèñêà â ñåìüÿõ (ñì. ðèñ. Ï.3.1)
Ñèáñòâî, äëÿ êîòîðîãî âû÷èñëÿåòñÿ ðèñê ×èñëî äåòåé (âêëþ÷àÿ ïðîáàíäîâ è íåêëàññèôèöèðîâàííûõ ëèö) Ïðîáàíäû Íåñáàëàíñèðîâàííûå ñëó÷àè Íîñèòåëè ñáàëàíñèðîâàííûõ òðàíñëîêàöèé Àáîðòû Íîðìà
II, 2-5
III, 2-9
III, 11-16
IV, 1,2
IV, 3,4
IV, 5-7
IV, 8-12

ó÷òåíà â ïðîöåäóðå âû÷èñëåíèÿ ðèñêà äëÿ äåòåé íîñèòåëåé òðàíñëîêàöèè. Ó íåå òðîå äåòåé, êîòîðûõ íåîáõîäèìî îáñëåäîâàòü â ëþáîì ñëó÷àå, íåçàâèñèìî îò èõ ôåíîòèïîâ. Ñëåäîâàòåëüíî, ïîïðàâêà íå íóæíà: îíè ìîãóò áûòü âêëþ÷åíû â ïðîöåäóðó âû÷èñëåíèÿ ðèñêà.

Ñëåäóåò òùàòåëüíî ïðîâåñòè ñëåäóþùèé ýòàï àíàëèçà. Ïîñêîëüêó ïðåäñòàâèòåëåé II ïîêîëåíèÿ îáñëåäîâàëè â ëþáîì ñëó÷àå, 11,5 ÿâëÿåòñÿ åäèíñòâåííûì ïðîáàíäîì â ýòîì ïîêîëåíèè, à âñåõ äðóãèõ ñèáñîâ ìîæíî èñïîëüçîâàòü â ïðîöåäóðå âû÷èñëåíèÿ ðèñêà (èñêëþ÷àÿ, êîíå÷íî, 11,4). Êðîìå òîãî, ñèáñòâà 111,2. .9, IV, 1,2 è IV,3,4 áûëè çàðåãèñòðèðîâàíû ÷åðåç ïîðàæåííîãî ðîäèòåëÿ, ïîýòîìó êîððåêöèÿ íå íóæíà. Îäíàêî åñëè, íàïðèìåð, ñèáñòâî IV,3,4 áûëî îáñëåäîâàíî ëèøü ïîòîìó, ÷òî 111,11 ñîîáùèëà èññëåäîâàòåëþ, ÷òî ó åå äâîþðîäíîãî áðàòà òîæå åñòü ðåáåíîê ñ âðîæäåííûìè ïîðîêàìè (è åñëè ýòî ñèáñòâî èíà÷å íå áûëî áû îáñëåäîâàíî), òî ðåáåíîê IV,4 ñ íåñáàëàíñèðîâàííîé òðàíñëîêàöèåé ÿâëÿåòñÿ (òðåòè÷íûì) ïðîáàíäîì è äîëæåí áûòü èñêëþ÷åí èç ïðîöåäóðû îöåíèâàíèÿ ðèñêà. Ýòîò ïðèìåð ïîêàçûâàåò, íàñêîëüêî âàæíî òî÷íîå è ïîëíîå îïèñàíèå ïðîöåññà ðåãèñòðàöèè. Äàëåå ïðåäïîëàãàåòñÿ, ÷òî ñèáñòâà â ëåâîé ÷àñòè ðèñ. Ï.3.1 íà ñàìîì äåëå çàðåãèñòðèðîâàíû ÷åðåç ïîðàæåííîãî ðîäèòåëÿ. Ðåçóëüòàò ïðèâåäåí â òàáë. Ï.3.7. Ïîëó÷åíû ñëåäóþùèå îöåíêè ðèñêà:

à) äëÿ áîëüíûõ ñ íåñáàëàíñèðîâàííîé 2/21, òðàíñëîêàöèåé

á) äëÿ àáîðòóñîâ 4/21,


â) äëÿ íîñèòåëåé ñáàëàíñèðîâàííûõ 9/21, òðàíñëîêàöèé

ã) äëÿ íîðìàëüíûõ äåòåé 6/21. Äëÿ ïîëó÷åíèÿ ýòèõ îöåíîê áûëè ïðîñòî

îáúåäèíåíû åäèíè÷íûå ñëó÷àè èç âñåõ ñèáñòâ ( = ïðåäâàðèòåëüíîå íàêîïëåíèå). Ýòó ïðîöåäóðó ìîæíî ïîäâåðãíóòü êðèòèêå íà òîì îñíîâàíèè, ÷òî ñèáñòâà áîëüøåãî ðàçìåðà èìåþò íàìíîãî áîëüøèé âåñ, ÷åì ñèáñòâà ìåíüøåãî ðàçìåðà. Ìîæíî, êîíå÷íî, ïîëó÷èòü îöåíêè ðèñêà äëÿ êàæäîãî ñèáñòâà îòäåëüíî, à óæå çàòåì èõ îáúåäèíèòü ( = ïîñëåäóþùåå íàêîïëåíèå). Îäíàêî áîëüøèíñòâî èññëåäîâàíèé ïî òðàíñëîêàöèÿì áûëî âûïîëíåíî ñ èñïîëüçîâàíèåì ïðåäâàðèòåëüíîãî íàêîïëåíèÿ. Ýòà ïðîöåäóðà îêàçûâàåòñÿ îïðàâäàííîé, åñëè ñèáñòâà ïðèíàäëåæàò ðîäîñëîâíûì áîëüøîãî ðàçìåðà, ïîñêîëüêó ìîæíî ïðåäïîëàãàòü, ÷òî â òàêîé ðîäîñëîâíîé ðåàëüíûå ðèñêè áóäóò îäèíàêîâûìè âî âñåõ ñèáñòâàõ. Ñ äðóãîé ñòîðîíû, òàêèå âû÷èñëåíèÿ ðèñêà íåîáõîäèìî ïðîâåñòè îòäåëüíî 1) äëÿ ñåìåé, êîòîðûå áûëè çàðåãèñòðèðîâàíû ÷åðåç àáîðòóñîâ è 2) êîòîðûå áûëè çàðåãèñòðèðîâàíû ÷åðåç íîñèòåëåé ñáàëàíñèðîâàííûõ òðàíñëîêàöèé, ïîñêîëüêó ëèøü ó íåêîòîðûõ èç îáëàäàòåëåé íåñáàëàíñèðîâàííûõ òðàíñëîêàöèé ìîãóò ðîäèòüñÿ äåòè òàêæå ñ íåñáàëàíñèðîâàííûìè òðàíñëîêàöèÿìè (ëèøü íåìíîãèå çèãîòû ñ íåñáàëàíñèðîâàííîé òðàíñëîêàöèåé ñïîñîáíû ðàçâèâàòüñÿ). Ïî ñóùåñòâó òå æå ïðàâèëà âû÷èñëåíèÿ ðèñêà ñëåäóåò ïðèìåíèòü ê áîëüøèì ðîäîñëîâíûì ñ àóòîñîìíî-äîìèíàíòíûìè èëè Õ-ñöåïëåííûìè áîëåçíÿìè.


Ïðèëîæåíèå 4

Ìóëüòèôàêòîðèàëüíîå íàñëåäîâàíèå è ãëàâíûå ãåíû


Àíàëèç ñåãðåãàöèîííûõ îòíîøåíèé â èõ íåïîñðåäñòâåííîì âûðàæåíèè âîçìîæåí â ñëó÷àå êà÷åñòâåííî ðàçëè÷èìûõ ôåíîòèïîâ (ðàçä. 3.6.1.3), ïîñêîëüêó â ýòîì ñëó÷àå ïðîñòîé ìåíäåëåâñêèé òèï íàñëåäîâàíèÿ ìîæíî ïðåäïîëîæèòü è îáîñíîâàòü ÷åòêî ðàñïîçíàâàåìûìè ôåíîòèïàìè. Îäíàêî äëÿ ìíîãèõ ïðèçíàêîâ ÷åëîâåêà òàêîé àíàëèç åùå íåâîçìîæåí. Èõ íàñëåäîâàíèå íåîáõîäèìî ìîäåëèðîâàòü ñ ïîìîùüþ áèîìåòðè÷åñêîãî àíàëèçà êîëè÷åñòâåííûõ ïðèçíàêîâ (ðàçä. 3.6.1.4). Ê íèì îòíîñÿòñÿ òàêèå íîðìàëüíûå ïðèçíàêè, êàê ðîñò è IQ, à òàêæå ôèçèîëîãè÷åñêèå è áèîõèìè÷åñêèå õàðàêòåðèñòèêè, òàêèå, êàê óðîâåíü õîëåñòåðèíà â ñûâîðîòêå.  ýòó æå êàòåãîðèþ ïðèçíàêîâ âêëþ÷àþò áîëüøèíñòâî øèðîêî ðàñïðîñòðàíåííûõ áîëåçíåé. Íåêîòîðûå ïîäõîäû ê àíàëèçó êîëè÷åñòâåííûõ ïðèçíàêîâ îïèñàíû â ðàçä. 3.6.1. Áûëî äàíî îáîñíîâàíèå êîíöåïöèè íàñëåäóåìîñòè è ïðåäëîæåíû ñòðàòåãèè ïîøàãîâîãî àíàëèçà â ñîîòâåòñòâèè ñ ìîäåëüþ ìóëüòèôàêòîðèàëüíîãî íàñëåäîâàíèÿ ñ ïîðîãîâûì ïðîÿâëåíèåì èëè áåç òàêîâîãî. Ñðåäè ýòèõ ñòðàòåãèé ìû îáñóæäàëè ïîèñê ôåíîòèïè÷åñêèõ ïîäêëàññîâ, à òàêæå àíàëèç ôèçèîëîãè÷åñêèõ ìàðêåðîâ èëè àññîöèàöèé ñ ðàçëè÷íûìè ñèñòåìàìè ãåíåòè÷åñêîãî ïîëèìîðôèçìà.

 ïîñëåäíèå ãîäû íåñêîëüêî àâòîðîâ ïðåäëîæèëè ñòàòèñòè÷åñêèå ìåòîäû áîëåå ñòðîãîãî òåñòèðîâàíèÿ ìóëüòèôàêòîðèàëüíîé ìîäåëè ïðîòèâ ìîíîãåííîé è èäåíòèôèêàöèè ýôôåêòîâ ãëàâíûõ ãåíîâ íà ìóëüòèôàêòîðèàëüíîì ôîíå [139; 140; 646; 647].  îáùåì ñëó÷àå ýòè ìåòîäû âêëþ÷àþò äâà ýòàïà. Ñíà÷àëà ôîðìóëèðóþòñÿ ïðåäïîëîæåíèÿ îòíîñèòåëüíî òèïà íàñëåäîâàíèÿ èçó÷àåìîãî ïðèçíàêà, à çàòåì íà îñíîâå ýòèõ ïðåäïîëîæåíèé ðàññ÷èòûâàþòñÿ ÷àñòîòà (äëÿ àëüòåðíàòèâíî ðàñïðåäåëåííûõ ïðèçíàêîâ) èëè ðàñïðåäåëåíèå (äëÿ íåïðåðûâíî ðàñïðåäåëåííûõ ïðèçíàêîâ) â êîí-


êðåòíûõ ãðóïïàõ ðîäñòâåííèêîâ. Òàê ñîçäàåòñÿ ïðåäâàðèòåëüíàÿ «ìîäåëü» êîíêðåòíîãî òèïà íàñëåäîâàíèÿ. Ïîòîì ñ ïîìîùüþ ñòàòèñòè÷åñêèõ ìåòîäîâ ïðîâåðÿåòñÿ ñîîòâåòñòâèå âûáîðêè ýìïèðè÷åñêèõ äàííûõ è çíà÷åíèé, ïîëó÷àåìûõ íà îñíîâå ïîñòðîåííîé ìîäåëè. Ñëåäîâàòåëüíî, ýòîò ïîäõîä ê àíàëèçó ïðèíöèïèàëüíî íå îòëè÷àåòñÿ îò îïèñàííûõ â ðàçä. 3.3.3 è 3.3.4 äëÿ òåñòèðîâàíèÿ ñîîòâåòñòâèÿ ñåìåéíûõ äàííûõ ïðîñòîìó ìåíäåëåâñêîìó òèïó íàñëåäîâàíèÿ. Èíîãäà ôîðìóëèðóþò íåñêîëüêî àëüòåðíàòèâíûõ ìîäåëåé, à çàòåì ñðàâíèâàþò èõ ñ ðåàëüíûìè äàííûìè.

Ìîäåëè íåëüçÿ ñêîíñòðóèðîâàòü áåç óïðîùàþùèõ äîïóùåíèé. Ýòî íåèçáåæíî è íå âëå÷åò ñåðüåçíûõ ïîñëåäñòâèé ïðè óñëîâèè, ÷òî âñå äîïóùåíèÿ ÷åòêî ñôîðìóëèðîâàíû. Âàæíî ïîíèìàòü, ÷òî, åñëè íàáîð äàííûõ ñîîòâåòñòâóåò îæèäàåìûì çíà÷åíèÿì, âûòåêàþùèì èç îïðåäåëåííîé ìîäåëè, ýòî åùå íå äîêàçûâàåò, ÷òî ïîñòðîåííàÿ ìîäåëü àäåêâàòíî îïèñûâàåò ðåàëüíóþ ñèòóàöèþ. Äîëæíû áûòü èñêëþ÷åíû âñå äðóãèå âîçìîæíûå ìîäåëè. Î÷åíü ÷àñòî òàêîå èñêëþ÷åíèå îêàçûâàåòñÿ íåâîçìîæíûì äëÿ ìîäåëåé, òèïè÷íûõ â ãåíåòèêå ÷åëîâåêà, íàïðèìåð, êîãäà Ìóëüòèôàêòîðèàëüíîå íàñëåäîâàíèå òåñòèðóåòñÿ ïðîòèâ àóòîñîìíîäîìèíàíòíîãî íàñëåäîâàíèÿ ñ íåïîëíîé ïåíåòðàíòíîñòüþ. Ãåíåòèêè, êîòîðûå îáû÷íî ðàáîòàþò ñ ïðîñòûìè ìåíäåëåâñêèìè ìîäåëÿìè, «èçáàëîâàíû»: èìååòñÿ ëèøü îãðàíè÷åííîå ÷èñëî ñèòóàöèé, õîðîøî èìèòèðóþùèõ ìîíîãåííûé òèï íàñëåäîâàíèÿ áåç äîïîëíèòåëüíûõ ïðåäïîëîæåíèé. Êàê ïðàâèëî, â ýòèõ ñëó÷àÿõ îíè íàõîäÿòñÿ íà òâåðäîé îñíîâå íàäåæíûõ ôàêòîâ. Îäíàêî ïðè èñïîëüçîâàíèè ìóëüòèôàêòîðèàëüíûõ ìîäåëåé äåëî îáñòîèò èíà÷å.

Íèæå ìû áóäåì ñðàâíèâàòü äâå ìîäåëè, êîòîðûå èìåþò ïðàêòè÷åñêîå çíà÷åíèå äëÿ àíàëèçà ãåíåòè÷åñêîé ïðåäðàñïîëîæåííî-


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còè øèðîêî ðàñïðîñòðàíåííûõ çàáîëåâàíèé: ìóëüòèôàêòîðèàëüíàÿ ìîäåëü ñ ïîðîãîì è ìîäåëü ïðîñòîãî äîìèíàíòíîãî òèïà íàñëåäîâàíèÿ ñ íåïîëíîé ïåíåòðàíòíîñòüþ. Ìû áóäåì ñëåäîâàòü â îñíîâíîì àíàëèçó, ïðîâåäåííîìó Êðþãåðîì [746], ïîñêîëüêó ýòîò àâòîð ÷åòêî èçëîæèë ïðåäïîëîæåíèÿ è óïðîùåíèÿ ìîäåëè. Î íåêîòîðûõ äðóãèõ, ñõîäíûõ ïîäõîäàõ ìû óïîìÿíåì ëèøü êðàòêî (äåòàëüíîå îáñóæäåíèå áûëî ïðîâåäåíî â ðàçä 3.6.2.2).
Ïpocmoé äèàëëåëüíûé òèï íàñëåäîâàíèÿ ñ íåïîëíîé ïåíåòðàíòíîñòüþ. Ïóñòü ïåíåòðàíòíîñòè ãåíîòèïîâ ÀÀ è Àà áóäóò w1 è w2 ñîîòâåòñòâåííî, à èíäèâèäû ñ ãåíîòèïîì aa âñåãäà çäîðîâû. Òîãäà ÷àñòîòà ïðèçíàêà â ïîïóëÿöèè ðàâíà
(p - ÷àñòîòà àëëåëÿ À). Ðåàëèñòè÷åñêèì óïðîùåíèåì ýòîé ìîäåëè äëÿ ïðàêòè÷åñêèõ ñèòóàöèé áóäåò ïðåäïîëîæåíèå w1 = 1 (ïîëíàÿ ïåíåòðàíòíîñòü ãîìîçèãîò ÀÀ).
Ìóëúòèôàêòîðèàëüíîå íàñëåäîâàíèå ñ ïîðîãîâûì ýôôåêòîì. Îáîçíà÷èì ÷åðåç x ôåíîòèïè÷åñêîå çíà÷åíèå ïîäâåðæåííîñòè çàáîëåâàíèþ [654]. Ýòî çíà÷åíèå ìîæíî ðàçáèòü íà äâå êîìïîíåíòû, êàê ïîêàçàíî â ðàçä. 3.6.1. Ïðåäïîëàãàåòñÿ, ÷òî ñðåäîâîå çíà÷åíèå Ε íå êîððåëèðóåò ñ ãåíîòèïè÷åñêèì çíà÷åíèåì G:
è ÷òî ãåíîòèïè÷åñêîå çíà÷åíèå íå ñîäåðæèò ýïèñòàòè÷åñêóþ êîìïîíåíòó. G ïðåäñòàâëÿåò ñîáîé ñóììó âêëàäîâ íåçàâèñèìî äåéñòâóþùèõ ãåíîâ, è åãî ðàñïðåäåëåíèå â ïîïóëÿöèè ñòðåìèòñÿ ê íîðìàëüíîìó ïðè óâåëè÷åíèè èõ ÷èñëà. Ëîãè÷íî ïðåäïîëîæèòü, ÷òî G íîðìàëüíî ðàñïðåäåëåíî â ïîïóëÿöèè è ÷òî ñðåäîâîå îòêëîíåíèå Ε èìååò íîðìàëüíîå ðàñïðåäåëåíèå. Ïðè ýòèõ óñëîâèÿõ ôåíîòèïè÷åñêîå çíà÷åíèå x òàêæå áóäåò ðàñïðåäåëåíî íîðìàëüíî.
Ïîñêîëüêó ïîäâåðæåííîñòü ÿâëÿåòñÿ ãèïîòåòè÷åñêîé ïåðåìåííîé, åå ìîæíî îïðåäåëèòü òàê, ÷òîáû õ, G è Ε èìåëè ñðåäíþþ 0, à ôåíîòèïè÷åñêîå çíà÷åíèå x èìåëî äèñïåðñèþ 1. Òîãäà ïîðîã îäíîçíà÷íî îïðåäå-

 

ëÿåòñÿ ïîïóëÿöèîííîé ÷àñòîòîé Ð, êàê òà òî÷êà, êîòîðàÿ äåëèò ñòàíäàðòèçîâàííîå íîðìàëüíîå ðàñïðåäåëåíèå (íîðìàëüíîå ðàñïðåäåëåíèå ñî ñðåäíåé 0 è äèñïåðñèåé 1) íà äâå ÷àñòè ñ ÷àñòîòàìè 1 — P è Ð. Ðàññìîòðèì äâóõ ðîäñòâåííèêîâ îïðåäåëåííîé ñòåïåíè ðîäñòâà, âûáðàííûõ èç ïîïóëÿöèè ñëó÷àéíûì îáðàçîì. Ïàðà èõ ïîäâåðæåííîñòåé (x1, õ2) ÿâëÿåòñÿ ñëó÷àéíîé âåëè÷èíîé, êîòîðàÿ èìååò äâóìåðíîå íîðìàëüíîå ðàñïðåäåëåíèå. Êîãäà çàäàí êîýôôèöèåíò êîððåëÿöèè äâóõ ïîäâåðæåííîñòåé , ýòî ðàñïðåäåëåíèå ïîëíîñòüþ îïðåäåëåíî, è ìîæíî âû÷èñëèòü âåðîÿòíîñòü òîãî, ÷òî êàêîé-òî îäèí èëè îáà ðîäñòâåííèêà ïîðàæåíû. Ïðè îïèñàííûõ âûøå óñëîâèÿõ êîýôôèöèåíòû ôåíîòèïè÷åñêîé, ãåíîòèïè÷åñêîé è ñðåäîâîé êîððåëÿöèé ïîäâåðæåííîñòåé äâóõ ðîäñòâåííèêîâ ñâÿçàíû ñîîòíîøåíèåì [488]:
øèíñòâå ñëó÷àåâ êîððåëÿöèþ ìåæäó ñðåäîâûìè êîìïîíåíòàìè Ε1 è Å2 äâóõ ðîäñòâåííèêîâ íåëüçÿ îïðåäåëèòü, ïîýòîìó ïðåäïîëîæèì, ÷òî îíà ðàâíà 0. Êðîìå òîãî, áóäåò èññëåäîâàòüñÿ òîëüêî ñïåöèàëüíûé ñëó÷àé Í2 = h2 (ò. å. VG = VA) â ñîîòâåòñòâèè ñ îïûòîì êîëè÷åñòâåííîé ãåíåòèêè, ñîãëàñíî êîòîðîìó íåàääèòèâíàÿ êîìïîíåíòà H2h2 îáû÷íî î÷åíü ìàëà. Òîãäà ñïðàâåäëèâî ñëåäóþùåå óðàâíåíèå:
íèå, çàâèñÿùåå òîëüêî îò òèïà ðîäñòâà, à ìîäåëü çàâèñèò òîëüêî îò ïàðàìåòðîâ h2 è Ð. Äîïîëíèòåëüíîå ðàññìîòðåíèå ñðåäîâîé êîìïîíåíòû E (÷òî ýêâèâàëåíòíî h2 < 1) îïðîâåðãàåò íåðåàëèñòè÷åñêîå ïðåäïîëîæåíèå î ÷åòêîì ïîðîãå. Îí çàìåíÿåòñÿ «ïîðîãîâîé îáëàñòüþ», øèðèíà êîòîðîé çàäàåòñÿ ñ ïîìîùüþ VE. Ïðåäïîëàãàþò, ÷òî âíóòðè ýòîé ïîðîãîâîé îáëàñòè âåðîÿòíîñòü ïðîÿâëåíèÿ çàáîëåâàíèÿ íåïðåðûâíî óâåëè÷èâàåòñÿ îò 0 äî 1.
Ñðàâíåíèå ìîíîãåííîé è ìóëûïèôàêòîðèàëüíîé ìîäåëåé. Íèæå ìû ñðàâíèì ýòè ìîäåëè äëÿ ðÿäà çíà÷åíèé ïîïóëÿöèîííîé ÷à-

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Ðèñ. Ï.4.1. Ïîâåðõíîñòü äâóìåðíîãî íîðìàëüíîãî ðàñïðåäåëåíèÿ ïîäâåðæåííîñòåé çàáîëåâàíèþ äâóõ èíäèâèäîâ Äâà ïîðîãà îáîçíà÷åíû øòðèõîâûìè ïëîñêîñòÿìè Òåìíûå çàêðàøåííûå îáëàñòè â ïåðåäíåì ïðàâîì óãëó óêàçûâàþò âåðîÿòíîñòü Q òîãî, ÷òî îáà èíäèâèäà ïîðàæåíû À Äâà íåðîäñòâåííûõ èíäèâèäà â ïàíìèêñíîé ïîïóëÿöèè Á Äâà ðîäñòâåííèêà ïåðâîé ñòåïåíè ðîäñòâà Èíòåíñèâíî îêðàøåííàÿ îáëàñòü íàìíîãî áîëüøå, ÷åì íà À, ÷òî óêàçûâàåò íà âîçðàñòàíèå ðèñêà äëÿ ðîäñòâåííèêà áûòü ïîðàæåííûì, åñëè ïðîáàíä ñòðàäàåò òåì æå çàáîëåâàíèåì

ñòîòû Ð, äëÿ ðÿäà çíà÷åíèé ïåíåòðàíòíîñòåé w â äèàëëåëüíîé ìîäåëè è äëÿ ðàçëè÷íûõ ïðåäïîëîæåíèé, êàñàþùèõñÿ h2, â ìóëüòèôàêòîðèàëüíîé ìîäåëè. Äëÿ äèàëëåëüíîé ìîäåëè âû÷èñëåíèå ïðîâîäÿò íåïîñðåäñòâåííî, êîãäà ïðåäïîëàãàåòñÿ, ÷òî ðåãèñòðàöèÿ ïðîâîäèëàñü â ñîîòâåòñòâèè ñ åäèíè÷íûì îòáîðîì (ðàçä. 3.3).  ñëó÷àå ìóëüòèôàêòîðèàëüíîé ìîäåëè r = h2/2 äëÿ ðîäèòåëåé, ñèáñîâ è äåòåé, r = h2 äëÿ ìîíîçèãîòíûõ áëèçíåöîâ. Èñõîäÿ èç ýòîãî è èñïîëüçóÿ äâóìåðíîå íîðìàëüíîå ðàñïðåäåëåíèå ïîäâåðæåííîñòåé äâóõ ðîäñòâåííèêîâ I1 è I2, ìîæíî ïîëó÷èòü óñëîâíóþ âåðîÿòíîñòü Q òîãî, ÷òî I2 ïîðàæåí, åñëè ïîðàæåí


I1, Q ðàâíî îòíîøåíèþ âåðîÿòíîñòè òîãî, ÷òî îáà ðîäñòâåííèêà ïîðàæåíû, ê âåðîÿòíîñòè P1, ÷òî ïîðàæåí I1. Q ñîîòâåòñòâóåò òåìíî-ñåðîé îáëàñòè ïîä ïîâåðõíîñòüþ ïëîòíîñòè íîðìàëüíîãî ðàñïðåäåëåíèÿ íà ðèñ Ï.4.1, òîãäà êàê îáëàñòè, èìåþùèå ñâåòëî-ñåðûé öâåò, ñîîòâåòñòâóþò âåðîÿòíîñòÿì ñîáûòèé. I1 ïîðàæåí, I2 íîðìàëüíûé è I1 íîðìàëüíûé, I2 ïîðàæåí. Íà ðèñ Π 4 1, À ïðåäñòàâëåí ñëó÷àé äâóõ íåðîäñòâåííûõ èíäèâèäîâ. Ðèñê êàæäîãî èç íèõ íå çàâèñèò îò ðèñêà äðóãîãî: Q = Ð. Ýòî íàõîäèò ñâîå îòðàæåíèå â öåíòðàëüíîé ñèììåòðèè ïîâåðõíîñòè ïëîòíîñòè ðàñïðåäåëåíèÿ Íà ðèñ. Ï.4 1, Á ïîêàçàíî ñîâìåñò-


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Ðèñ. Ï.4.2. ×àñòîòà ïðèçíàêà ñðåäè äåòåé (èëè ðîäèòåëåé) ïðîáàíäîâ (Q,) â äèàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëúòèôàêòîðèàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746]. Ðèñ. Ï.4.3. ×àñòîòà ïðèçíàêà ñðåäè ñèáñîâ ïðîáàíäîâ (Q2) â äèàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëüòèôàêòîðèàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746].

íîå ðàñïðåäåëåíèå ïîäâåðæåííîñòåé äëÿ ðîäñòâåííèêîâ ïåðâîé ñòåïåíè ðîäñòâà.  ýòîì ñëó÷àå ïðåäïîëàãàåòñÿ, ÷òî h2 = 1 (è òàêèì îáðàçîì r = 1/2). Ñëåäñòâèåì ýòîãî ÿâëÿåòñÿ òîò ôàêò, ÷òî ïîðàæåíèå I1 óâåëè÷èâàåò ðèñê áûòü ïîðàæåííûì äëÿ ðîäñòâåííèêà I2 : Q > Ð. Îáúåìû çàêðàøåííûõ ó÷àñòêîâ ïîä ïîâåðõíîñòüþ ïëîòíîñòè ðàñïðåäåëåíèÿ ìîæíî âû÷èñëèòü ñ ïîìîùüþ ÷èñëåííîãî èíòåãðèðîâàíèÿ, íà ÷åì ïîäðîáíî ìû îñòàíàâëèâàòüñÿ íå áóäåì (òåòðàõîðè÷åñêèå ôóíêöèè Ïèðñîíà, êîòîðûå èñïîëüçóþòñÿ íåêîòîðûìè àâòîðàìè, îáëàäàþò íåäîñòàòêàìè. Îáñóæäåíèå ýòîé ïðîáëåìû ñì. â [746]).


Íà ðèñ. Ï.4.2 è Ï.4.3 ïðèâåäåíû ðåçóëüòàòû ñðàâíåíèÿ ìîäåëåé. Èñïîëüçóþòñÿ ñëåäóþùèå îáîçíà÷åíèÿ: Q1 - ÷àñòîòà ïðèçíàêà ó äåòåé èëè ðîäèòåëåé ïðîáàíäîâ, Q2 - ÷àñòîòà ñðåäè ñèáñîâ èëè äèçèãîòíûõ áëèçíåöîâ ïðîáàíäîâ, Q3 - ÷àñòîòà ñðåäè ìîíîçèãîòíûõ áëèçíåöîâ ïðîáàíäîâ, Q1,1 - ÷àñòîòà ñðåäè ñèáñîâ ïðîáàíäîâ ñ äâóìÿ çäîðîâûìè ðîäèòåëÿìè, Q2,1 - ÷àñòîòà ñðåäè ñèáñîâ ïðîáàíäîâ, îäèí èç ðîäèòåëåé êîòîðûõ ïîðàæåí, Q2,2 - ÷àñòîòà ñðåäè ñèáñîâ ïðîáàíäîâ, îáà ðîäèòåëÿ êîòîðûõ ïîðàæåíû.

Äèàãðàììû íà ðèñ. Ï.4.2 è Ï.4.3 î÷åíü ïðîñòû. Îíè äåìîíñòðèðóþò ÷àñòîòû â


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Ðèñ. Ï.4.4. ×àñòîòà ïðèçíàêà ñðåäè ìîíîçèãîòíûõ è äèçèãîòíûõ áëèçíåöîâ ïðîáàíäîâ (R1 = Q3/Q2) â äèàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëüòèôàêòîðèàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746].

äâóõ ìîäåëÿõ äëÿ äåòåé (èëè ðîäèòåëåé) è äëÿ ñèáñîâ áåçîòíîñèòåëüíî ê òèïàì áðàêà ðîäèòåëåé. Êðèâûå îáíàðóæèâàþò îïðåäåëåííîå ïåðåêðûâàíèå äëÿ âûñîêîé ÷àñòîòû P (÷àñòîòà = 0,2-0,5% è âûøå) ìåæäó äîìèíàíòíûì íàñëåäîâàíèåì ñ íèçêîé ïåíåòðàíòíîñòüþ è ìóëüòèôàêòîðèàëüíûì íàñëåäîâàíèåì ñ âûñîêîé íàñëåäóåìîñòüþ. Ñ äðóãîé ñòîðîíû, ðàçäåëåíèå äâóõ ìîäåëåé íàñëåäîâàíèÿ ïðèçíàêà ñ íèçêîé ÷àñòîòîé î÷åíü õîðîøåå. Äëÿ ìîíîçèãîòíûõ áëèçíåöîâ (íà ðèñóíêå íå ïîêàçàíî) ìóëüòèôàêòîðèàëüíàÿ ìîäåëü âñþäó ìîæåò èìèòèðîâàòü ïîâåäåíèå äèàëëåëüíîé ìîäåëè. Îäíàêî ïðîòèâîïîëîæíîå, ò.å. èìèòèðîâàíèå ïîâåäåíèÿ ìóëüòèôàêòîðèàëüíîé ìîäåëè ñ ïîìîùüþ äèàëëåëüíîé, âîçìîæíî òîëüêî ïðè âûñîêèõ çíà÷åíèÿõ h2, íî íå ïðè íèçêèõ.


 

 

Ñëåäîâàòåëüíî, èìèòèðîâàíèå âîçìîæíî íå òîëüêî ðàçäåëüíî äëÿ ìîíîçèãîòíûõ è äèçèãîòíûõ áëèçíåöîâ, íî è îäíîâðåìåííî íà îáåèõ âûáîðêàõ. Äëÿ èññëåäîâàíèÿ ýòîé ïðîáëåìû èçó÷àëîñü îòíîøåíèå
÷àñòîò ñðåäè ÌÇ è ÄÇ áëèçíåöîâ (ðèñ. Ï.4.4). È â ýòîì ñëó÷àå íå âñÿêàÿ ìóëüòèôàêòîðèàëüíàÿ ìîäåëü èìèòèðóåòñÿ, íî ìîäåëè ñ âûñîêèìè íàñëåäóåìîñòÿìè ìîæíî äèôôåðåíöèðîâàòü îò ìîíîãåííîé ìîäåëè. Äëÿ ïîñëåäíåé âåðõíèé ïðåäåë R1 (äëÿ ðàçíûõ çíà÷åíèé ïåíåòðàíòíîñòåé) ìîíîòîííî ñòðåìèòñÿ ê 4, êîãäà ïîïóëÿöèîííàÿ ÷àñòîòà ïðèáëèæàåòñÿ ê 0 (è ïðàêòè÷åñêè ðàâåí 4 äëÿ P < 0,01%). Ýòî ïîäòâåðæäà-

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Ðèñ. Ï.4.5. ×àñòîòà ïðèçíàêà ñðåäè ñèáñîâ ïðîáàíäîâ â áðàêàõ çäîðîâûé õ çäîðîâûé (Ql,1) â ùàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëüòèôàêòîøàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746]. Ðèñ. 11.4.6. ×àñòîòà ïðèçíàêà ñðåäè ñèáñîâ ïðîáàíäîâ â áðàêàõ ïîðàæåííûé õ çäîðîâûé (Q2,1) â äèàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëüòèôàêòîðèàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746].

åò áëèçíåöîâûé êðèòåðèé Ïåíðîóçà [837]: åñëè êîíêîðäàíòíîñòü ìîíîçèãîòíûõ áëèçíåöîâ áîëåå ÷åì â ÷åòûðå ðàçà ïðåâûøàåò êîíêîðäàíòíîñòü äèçèãîòíûõ áëèçíåöîâ, òî îäíîëîêóñíóþ ìîäåëü ìîæíî èñêëþ÷èòü â ïîëüçó ìóëüòèôàêòîðèàëüíîé. Ñ äðóãîé ñòîðîíû, çíà÷åíèå Rl < 4 íå èñêëþ÷àåò ìóëüòèôàêòîðèàëüíóþ ìîäåëü.

Íà ðèñ. Ï.4.5-Ï.4.7 ïîêàçàíû ÷àñòîòû Q1,1, Q2,1 è Q2,2 ñðåäè ñèáñîâ è ðîäèòåëåé ðÿ òèïîâ áðàêà íåïîðàæåííûé x íåïîðàæåííûé, ïîðàæåííûé x íåïîðàæåííûé, ïîðàæåííûé x ïîðàæåííûé.  ñåìüÿõ ñ äâóìÿ íåïîðàæåííûìè ðîäèòåëÿìè íåò ïåðåêðû-


âàíèÿ â ÷àñòîòàõ Q1,1. ×àñòîòû äëÿ ìóëüôàêòîðèàëüíîãî íàñëåäîâàíèÿ äàæå ñ âûñîêèìè íàñëåäóåìîñòÿìè íèæå, ÷åì ïðè äîìèíèðîâàíèè ñ íåïîëíîé ïåíåòðàíòíîñòüþ, äàæå êîãäà ïåíåòðàíòíîñòü î÷åíü íèçêà. Ñ äðóãîé ñòîðîíû, äëÿ Q2,1 (ðèñ. Ï.4.6) èìååòñÿ çíà÷èòåëüíîå ïåðåêðûâàíèå: â ñåìüÿõ ñ îäíèì ïîðàæåííûì ðîäèòåëåì ìóëüòèôàêòîðèàëüíóþ ìîäåëü ìîæíî îòëè÷èòü îò ìîíîãåííîé òîëüêî ïðè î÷åíü íèçêîé íàñëåäóåìîñòè. ×àñòîòà Q2,2 (òèï áðàêà ïëþñ x ïëþñ) îáíàðóæèâàåò ïðèíöèïèàëüíî òå æå öèôðû.

Äî ñèõ ïîð â àíàëèçå ìû ïðåíåáðåãàëè


Ïðèëîæåíèå 4

 

Ðèñ. Ï.4.7. ×àñòîòà ïðèçíàêà ñðåäè ñèáñîâ ïðîáàíäîâ â áðàêàõ ïîðàæåííûé χ ïîðàæåííûé (62,2) B äèàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëüòèôàêòîðèàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746].

 

ýôôåêòàìè äîìèíèðîâàíèÿ. Âñå èññëåäîâàíèÿ ìóëüòèôàêòîðèàëüíîé ìîäåëè áûëè ïðîâåäåíû â ïðåäïîëîæåíèè h2 = Í2. Îäíàêî áûëî ïîêàçàíî, ÷òî âëèÿíèå ýôôåêòîâ äîìèíèðîâàíèÿ ïðèíöèïèàëüíî ñõîäíî ñ âëèÿíèåì ñðåäîâûõ ýôôåêòîâ (ò. å. ïîíèæåíèå h2).
 îáùåì, îáëàñòè âñåãäà ïåðåêðûâàþòñÿ. Ó÷èòûâàÿ òîò ôàêò, ÷òî ìóëüòèôàêòîðèàëüíàÿ ìîäåëü ÿâëÿåòñÿ àáñòðàêöèåé è ÷òî äàííûå, îáû÷íî èìåþùèåñÿ äëÿ òàêîãî àíàëèçà, ïîäâåðæåíû âûáîðî÷íûì îøèáêàì, ýòè ðåçóëüòàòû íå ñëåäóåò ñ÷èòàòü âïîëíå óäîâëåòâîðèòåëüíûìè.  êà÷åñòâå êðèòåðèÿ, êîòîðûé áû ëó÷øå äèñêðèìèíèðîâàë îáñóæäàåìûå ìîäåëè, ïðåäëàãàëîñü îòíîøåíèå

 


ò.å. îòíîøåíèå îæèäàåìîé ÷àñòîòû ñðåäè äåòåé îäíîãî ïîðàæåííîãî ðîäèòåëÿ (Q2,1) ê îæèäàåìîé ÷àñòîòå ñðåäè äåòåé äâóõ íåïîðàæåííûõ ðîäèòåëåé (Q1,1). Íî êàê ïîêàçûâàåò ðèñ. Ï.4.8, äëÿ âûñîêîé ÷àñòîòû P ïåðåêðûâàíèå âñå åùå îùóòèìî, õîòÿ äëÿ áîëåå íèçêèõ P ðàçäåëåíèå äåéñòâèòåëüíî íàìíîãî ëó÷øå. Ìóëüòèôàêòîðèàëüíóþ ìîäåëü ìîæíî îòëè÷èòü îò ìîíîãåííîé, åñëè . Åñëè ÷àñòîòà ñðåäè ñèáñîâ

ïðîáàíäîâ â áðàêå ñ îäíèì ïîðàæåííûì ðîäèòåëåì â 2,5 ðàçà âûøå, ÷åì ñðåäè ñèáñîâ ñ äâóìÿ íåïîðàæåííûìè ðîäèòåëÿìè, òî âðÿä ëè ñëåäóåò ñ÷èòàòü àäåêâàòíîé äèàëëåëüíóþ ìîäåëü. Ýòîò êðèòåðèé ìîæíî ñðàâíèòü ñ áëèçíåöîâûì êðèòåðèåì Ïåíðîóçà [837]: çäåñü, êàê è â ñèòóàöèè ñ , òàêæå âîçìîæåí íåîïðåäåëåííûé âûâîä, åñëè . Èíòåðåñíî, ÷òî îáà

êðèòåðèÿ, êîòîðûå áûëè óñòàíîâëåíû â


Ïðèëîæåíèå 4 209

 

Ðèñ. Ï.4.8. Îòíîøåíèå ÷àñòîò ñðåäè ñèáñîâ ïðîáàíäîâ â áðàêàõ ïîðàæåííûé õ çäîðîâûé è çäîðîâûé õ çäîðîâûé (R2 = Q2,1/Q1,1) â äèàëëåëüíîé (øòðèõîâûå ëèíèè) è ìóëüòèôàêòîðèàëüíîé (ñïëîøíûå ëèíèè) ìîäåëÿõ [746].

 

 

îñíîâíîì íà èíòóèòèâíîé îñíîâå, ñîâìåñòèìû ïðè àíàëèçå.

Âàæíûì ïàðàìåòðîì ÿâëÿåòñÿ íàñëåäóåìîñòü h2. Åå ñëåäóåò îöåíèòü ïðåæäå âñåãî. Íà ïðàêòèêå ýòî ìîæíî ñäåëàòü äâóìÿ íåçàâèñèìûìè ñïîñîáàìè: èñïîëüçóÿ óðîâíè êîíêîðäàíòíîñòè ÌÇ áëèçíåöîâ èëè ñðàâíèâàÿ ÷àñòîòó Q ñðåäè ðîäñòâåííèêîâ ïðîáàíäîâ ñ ïîïóëÿöèîííîé ÷àñòîòîé Ð. Ïåðâûé ìåòîä äàåò H2, à íå h2, íî ìîæíî íàäåÿòüñÿ, ÷òî ðàçíîñòü íåçíà÷èòåëüíà. Ýòîò àñïåêò îáñóæäàåòñÿ â ðàçä. 3.8 è ïðèëîæåíèè 6. Âòîðîé ìåòîä çàâèñèò îò ñâîéñòâ ìóëüòèôàêòîðèàëüíîé ìîäåëè, êîòîðûå íå âñåãäà ðåàëèñòè÷íû è êîíòðîëèðóåìû.

Ôîëêîíåð [654; 655] ïðåäëîæèë ïðèíöèï, êîòîðûé ôîðìàëüíî àíàëîãè÷åí ïðîâåäåíèþ ñåëåêöèîííîãî ýêñïåðèìåíòà â êîëè÷åñòâåííîé ãåíåòèêå. Ïóñòü G áóäåò ñðåäíåé ïîäâåðæåííîñòüþ â ïîïóëÿöèè, À — ñðåäíåé ïîäâåðæåííîñòüþ ïîðàæåííûõ, R -ñðåäíåé ïîäâåðæåííîñòüþ ðîäñòâåííèêîâ (äàííîé ñòåïåíè ðîäñòâà) ïîðàæåííûõ. Òîãäà îòíîøåíèå ðàçíîñòåé R - G («îòâåò»)

 

 


 

è A - G («ñåëåêöèîííûé äèôôåðåíöèàë») ðàâíî êîýôôèöèåíòó ðåãðåññèè b ïîäâåðæåííîñòè ðîäñòâåííèêîâ íà ïîäâåðæåííîñòü ïðîáàíäîâ
Ïðè óêàçàííûõ âûøå ïðåäïîëîæåíèÿõ î ïîäâåðæåííîñòè (íîðìàëüíîå ðàñïðåäåëåíèå ñî ñðåäíåé 0 è äèñïåðñèåé 1) ëåâàÿ ÷àñòü ðàâíà êîýôôèöèåíòó êîððåëÿöèè ïîäâåðæåííîñòåé

 

ñîâïàäàþùåìó ñ êîýôôèöèåíòîì ðîäñòâà (íàïðèìåð, b = 1/2 äëÿ ðîäñòâåííèêîâ ïåðâîé ñòåïåíè ðîäñòâà). Çíàìåíàòåëü ïðàâîé ÷àñòè ìîæíî âû÷èñëèòü èç (ñòàíäàðòíîãî) íîðìàëüíîãî ðàñïðåäåëåíèÿ, èñïîëüçóÿ ðàññòîÿíèå ìåæäó ïîïóëÿöèîííîé ñðåäíåé è ïîðîãîâûì çíà÷åíèåì, ñîîòâåòñòâóþùèì ïîïóëÿöèîííîé ÷àñòîòå P ïðèçíàêà. Ôîëêîíåð ïðåäëîæèë ïîëó÷àòü çíà÷åíèå ÷èñëèòåëÿ êàê ðàçíîñòü ìåæäó ïîðîãîâûì çíà-


210 Ïðèëîæåíèå 4

 

 
Ðèñ. Ï.4.9.. Òàáëèöà äëÿ ïîëó÷åíèÿ îöåíêè h2 èç ÷àñòîòû (â %) ïðèçíàêà â îáùåé ïîïóëÿöèè è ñðåäè ðîäñòâåííèêîâ ïðîáàíäîâ ïåðâîé ñòåïåíè ðîäñòâà. Íàïðèìåð, åñëè ÷àñòîòà çàáîëåâàíèÿ ñîñòàâëÿåò 0,2% â îáùåé ïîïóëÿöèè è 4% ñðåäè äåòåé ïðîáàíäîâ, òî ýòî ñîîòâåòñòâóåò êîýôôèöèåíòó êîððåëÿöèè r = 0,40, è ïîñêîëüêó h2 = = 2 x r, òî íàñëåäóåìîñòü h2 = 0,8. Îáû÷íî ïðèìåíÿåòñÿ ôîðìóëà h2 = r/R. Çäåñü R -ìåðà ðîäñòâà, êîòîðóþ ìîæíî ïîëó÷èòü èç ôîðìóë äëÿ h2 â ðàçä. 3.6.1.5. Íàïðèìåð, R=1/2 äëÿ ðîäñòâåííèêîâ ïåðâîé ñòåïåíè ðîäñòâà, R = = 1/4 äëÿ ðîäñòâåííèêîâ âòîðîé ñòåïåíè ðîäñòâà è R = 1 äëÿ ÌÇ áëèçíåöîâ [875à].
     

÷åíèåì, ñîîòâåòñòâóþùèì ÷àñòîòå Q ïðèçíàêà ñðåäè ðîäñòâåííèêîâ, è ïîðîãîâûì çíà÷åíèåì äëÿ ïîïóëÿöèè. Óëó÷øåííàÿ íîìîãðàììà (ðèñ. Ï.4.9) ñ êîýôôèöèåíòîì êîððåëÿöèè r ïîäâåðæåííîñòåé ïðîáàíäà è ðîäñòâåííèêà âìåñòî h2 áûëà îïóáëèêîâàíà Ñìèòîì [880]. Ýòà íîìîãðàììà îõâàòûâàåò òàêæå îòðèöàòåëüíûå çíà÷åíèÿ h2 (íèæå è ñïðàâà îò íóëåâîé ëèíèè íà ðèñ. Ï.4.9). Îòðèöàòåëüíûå çíà÷åíèÿ áèîëîãè÷åñêè áåññìûñëåííû, íî, áóäó÷è ñëåäñòâèåì ìàëîãî îáúåìà âûáîðêè, ìîãóò èñïîëüçîâàòüñÿ â ñëó÷àå îáúåäèíåíèÿ íåñêîëüêèõ âûáîðîê äëÿ ïîëó÷åíèÿ îáîáùåííîé îöåíêè.


Ñðàâíåíèå çíà÷åíèé, îæèäàåìûõ íà îñíîâå ýòèõ ìîäåëåé, ñ íàáîðàìè ðåàëüíûõ äàííûõ. Íîìîãðàììû íà ðèñ. Ï.4.1-Ï.4.8 ìîæíî èñïîëüçîâàòü äëÿ ñðàâíåíèÿ ðåàëüíûõ ñåìåéíûõ è áëèçíåöîâûõ äàííûõ ñ îæèäàåìûìè íà îñíîâå äâóõ ìîäåëåé. ×àñòî òàêîå îöåíèâàíèå íåñåò íà ñåáå èíòóèòèâíûé îòïå÷àòîê òîãî, êàêàÿ ìîäåëü ðàññìàòðèâàåòñÿ àïðèîðè êàê áîëåå áëèçêàÿ ê èñòèíå. Çàìåòèì, ÷òî ñðàâíåíèÿ íåýôôåêòèâíû, åñëè ïðîâîäÿòñÿ ðàçäåëüíî äëÿ ðîäñòâåííèêîâ ðàçíûõ ñòåïåíåé ðîäñòâà: äàæå åñëè êàæäîå èç íèõ íå ïîçâîëÿåò îòâåðãíóòü êàêóþ-ëèáî îäíó èç äâóõ ìîäåëåé, òî íà îñíîâàíèè îáùåé êàðòèíû ÷àñòîò ñðåäè ðîäñòâåííèêîâ ðàçíîé ñòåïåíè ðîäñòâà èíîãäà âñå æå ìîæíî îòäàòü ïðåäïî÷òåíèå îäíîé èç àëüòåðíàòèâ. Êðîìå òîãî, äî ñèõ ïîð ìîë÷àëèâî ïðåäïîëàãàëîñü, ÷òî ïîïóëÿöèîííàÿ ÷àñòî-


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ðàìêàõ êîíêðåòíîé ìîäåëè. Òåïåðü èõ íóæíî ñðàâíèòü ñ äåéñòâèòåëüíî íàáëþäàåìûìè ÷àñòîòàìè. Òî÷íîñòü, ñ êîòîðîé ìîäåëü îïèñûâàåò íàáëþäåíèÿ, ìîæíî òåñòèðîâàòü ñ ïîìîùüþ âûðàæåíèÿ
Êîãäà ñïðàâåäëèâà íóëåâàÿ ãèïîòåçà, ò.å. êîãäà ðàñïðåäåëåíèå ÷àñòîò ñðåäè ðàçëè÷íûõ êàòåãîðèé ðîäñòâåííèêîâ ñîîòâåòñòâóåò ïðåäïîëàãàåìîìó òèïó íàñëåäîâàíèÿ, ýòî âûðàæåíèå ðàñïðåäåëåíî ïðèáëèæåííî êàê χ2 ñ u — 1 ñòåïåíüþ ñâîáîäû. Ñëåäîâàòåëüíî, åñëè íàéäåííîå çíà÷åíèå âûðàæåíèÿ (Ï.4.2) áîëüøå òàáëè÷íîãî çíà÷åíèÿ χ2, òî íóëåâàÿ ãèïîòåçà îòâåðãàåòñÿ. Êîãäà òàêèì ñïîñîáîì òåñòèðóþòñÿ îáå ìîäåëè, òî âîçìîæíû ÷åòûðå èñõîäà:
1) íåò ðàçëè÷èÿ ìåæäó ýìïèðè÷åñêèìè äàííûìè è êàêîé-ëèáî ìîäåëüþ: íèêàêóþ ìîäåëü íåëüçÿ èñêëþ÷èòü;
2) ìîæíî èñêëþ÷èòü òîëüêî ìîíîãåííóþ ìîäåëü;
3) ìîæíî èñêëþ÷èòü òîëüêî ìóëüòèôàêòîðèàëüíóþ ìîäåëü;
4) èñêëþ÷àþòñÿ îáå ìîäåëè.
Íåîáõîäèìî ïîìíèòü, ÷òî äàæå àëüòåðíàòèâû 2 è 3 íå äîêàçûâàþò ñïðàâåäëèâîñòü êàêîé-ëèáî îäíîé èç äâóõ ìîäåëåé. Îäèíàêîâî õîðîøî ýòè äàííûå ìîæíî îáúÿñíèòü ìíîãèìè äðóãèìè ìîäåëÿìè. Íà ïðàêòèêå ÷àñòî èñïîëüçóåòñÿ âûðàæåíèå
êîòîðîå ðàâíî (çà èñêëþ÷åíèåì äîïîëíèòåëüíîé êîíñòàíòû, íå çàâèñÿùåé îò ïàðàìåòðîâ ìîäåëè) íàòóðàëüíîìó ëîãàðèôìó âûðàæåíèÿ â óðàâíåíèè Ï.4.1. Êðîìå óðàâíåíèÿ Ï.4.2 äëÿ òåñòèðîâàíèÿ âïîëíå ïðèãîäíà ôîðìóëà
Ìû íå ñòàíåì çäåñü îïèñûâàòü ìåòîäû âû÷èñëåíèÿ (îíè ñòàíäàðòíû äëÿ ìàòåìàòèêîâ [746; 804]) ÌÏ-îöåíîê ïàðàìåòðîâ τ1 è τ2, ò.å. òåõ çíà÷åíèé ïàðàìåòðîâ, äëÿ êîòîðûõ ôóíêöèÿ ëîãàðèôìà ïðàâäîïîäîáèÿ (óðàâíåíèå ÏÀÇ) ïðèíèìàåò ìàêñèìàëüíîå çíà÷åíèå.
Êàê ìû ïîñòóïàåì íà ïðàêòèêå? Àíàëèç øèðîêî ðàñïðîñòðàíåííîãî çàáîëåâàíèÿ - äåëî íåïðîñòîå è îáû÷íî òðåáóåò ïîìîùè ñî ñòîðîíû ñïåöèàëèñòà ïî ñòàòèñòè÷åñêîé ãåíåòèêå. Èíîãäà áûâàåò òðóäíî êîíñòàòèðîâàòü ïðîñòûå ìåíäåëåâñêèå òèïû íàñëå-

212 Ïðèëîæåíèå 4


äîâàíèÿ èç-çà âûñîêîé ÷àñòîòû ïðèçíàêà è ñíèæåííîé ïåíåòðàíòíîñòè. Îäíàêî äàæå èñêóøåííûé ñïåöèàëèñò ÷àñòî îêàçûâàåòñÿ íå â ñîñòîÿíèè îòëè÷èòü ìîíîãåííûé ïðèçíàê ñ íèçêîé ïåíåòðàíòíîñòüþ îò ìóëüòèôàêòîðèàëüíîãî ïðèçíàêà.

Ñóùåñòâåííîå çíà÷åíèå èìååò òùàòåëüíûé àíàëèç ãåòåðîãåííîñòè.  ýòîé ãðóïïå øèðîêî ðàñïðîñòðàíåííûõ ïðèçíàêîâ çà äèàãíîçîì îäíîé áîëåçíè ÷àñòî ìîãóò ñêðûâàòüñÿ íåñêîëüêî çàáîëåâàíèé ñ ðàçíûìè ãåíåòè÷åñêèìè è íåãåíåòè÷åñêèìè ïðè÷èíàìè. Êðîìå òîãî, ÷àñòî èìååò ìåñòî ãåíîòèï-ñðåäîâîå âçàèìîäåéñòâèå, êîòîðîå òðóäíî îöåíèòü. Ïåðåäà÷ó ïðèçíàêà â î÷åíü áîëüøîé ìîíîãåííîé ðîäîñëîâíîé ìîæíî ëåãêî ðàçúÿñíèòü ãåíåòè÷åñêè, íî ðåçóëüòàòû, ïîëó÷åííûå äëÿ ýòîé ãðóïïû ðîäñòâåííèêîâ, ìîãóò îêàçàòüñÿ íåïðèìåíèìûìè ê äðóãèì èíäèâèäàì è èõ ñåìüÿì. Ïðåæäå ÷åì ïðîâîäèòü ãåíåòè÷åñêèé àíàëèç, íåîáõîäèìî ñòàíäàðòèçîâàòü äàííûå ïî âîçðàñòó íà÷àëà, ïîëó è äðóãèì ôàêòîðàì. Êàê ïðàâèëî, íàèáîëåå ýôôåêòèâíûì îêàçûâàåòñÿ ñðàâíåíèå äàííûõ èññëåäîâàòåëÿ ñ ðàçëè÷íûìè ãåíåòè÷åñêèìè ìîäåëÿìè. Äëÿ áîëüøîãî ÷èñëà ìîäåëåé ðàçðàáîòàíû êîìïüþòåðíûå ïðîãðàììû. Ñ èõ ïîìîùüþ ìîæíî îïðåäåëèòü ñîîòâåòñòâèå ðåàëüíûõ äàííûõ òîìó èëè èíîìó òèïó íàñëåäîâàíèÿ. Ñðåäè íàèáîëåå ðàñïðîñòðàíåííûõ ìîäåëåé-ïðîñòîå äîìèíàíòíîå íàñëåäîâàíèå, ðåöåññèâíîå íàñëåäîâàíèå, ïîëèãåííîå íàñëåäîâàíèå, ïîëèãåííîå íàñëåäîâàíèå â êîìáèíàöèè ñ ãëàâíûì ãåíîì, íåãåíåòè÷åñêàÿ ñåìåéíàÿ àãðåãàöèÿ. Îäíàêî äàæå ïðè ñòîëü «èñ÷åðïûâàþùåé» îáðàáîòêå äàííûõ íåîáõîäèìî ïðîÿâëÿòü îñòîðîæíîñòü è íå ñïåøèòü ñ îêîí÷àòåëüíûìè âûâîäàìè.


Èíîãäà íåçíà÷èòåëüíûå èçìåíåíèÿ äàííûõ ñóùåñòâåííî èõ ìåíÿþò. Âîò ïî÷åìó íàäî ñ îïàñêîé îòíîñèòüñÿ ê ïðèíÿòèþ ìîäåëè îäíîãî ãåíà íà îñíîâå òàêîãî àíàëèçà. Ñ äðóãîé ñòîðîíû, íåóäà÷à ïðè ïîèñêå ìîíîãåííîãî íàñëåäîâàíèÿ íå îáÿçàòåëüíî îçíà÷àåò, ÷òî íåò ãëàâíîãî ãåíà. Âàæíî, ÷òîáû èññëåäîâàòåëü áûë îñâåäîìëåí î áèîëîãè÷åñêîì, áèîõèìè÷åñêîì è ïàòîôèçèîëîãè÷åñêîì ôîíå èçó÷àåìîãî çàáîëåâàíèÿ. Ïðèìåíåíèå íîâåéøèõ ìåòîäîâ ëàáîðàòîðíûõ èññëåäîâàíèé äàåò âîçìîæíîñòü âûÿâèòü ãåòåðîãåííîñòü è ïðèáëèçèòüñÿ â ïîçíàíèè êîíêðåòíîé ïàòîëîãèè ê ãåííîìó óðîâíþ. Ýòî íàìíîãî áîëåå ýôôåêòèâíî, ÷åì èñïîëüçîâàòü «ôåíîòèïè÷åñêèå» äèàãíîçû, êîòîðûå íà ñàìîì äåëå ñêðûâàþò ãåòåðîãåííîñòü. Êîíå÷íî, äëÿ ìíîãèõ áîëåçíåé ìû â íàñòîÿùèé ìîìåíò ìîæåì óäîâîëüñòâîâàòüñÿ òîëüêî ýòèì.  îáùåì ñëó÷àå íàøå ïðîíèêíîâåíèå â ñóòü ãåíåòè÷åñêîãî ìåõàíèçìà ïåðåäà÷è òàêèõ áîëåçíåé (íàïðèìåð, øèçîôðåíèè) áóäåò ïîëíûì, õîòÿ íà îñíîâå äðóãèõ ôàêòîðîâ ìû ìîæåì áûòü óáåæäåíû, ÷òî êëþ÷åâóþ ðîëü â èõ ýòèîëîãèè èãðàþò èìåííî ãåíåòè÷åñêèå ôàêòîðû. Âî âñåõ ñëó÷àÿõ íåîáõîäèìû ñîâìåñòíûå óñèëèÿ ãåíåòèêîâ, ñòàòèñòèêîâ è ñïåöèàëèñòîâ ïî èçó÷àåìîé áîëåçíè.

Òåñòèðîâàíèå ðàçëè÷íûõ ãåíåòè÷åñêèõ ìîäåëåé áûëî ïðîâåäåíî äëÿ ðÿäà øèðîêî ðàñïðîñòðàíåííûõ ïàòîëîãèé, òàêèõ, êàê ýïèëåïñèÿ [611, 793], êàòåõîë-0-ìåòèëòðàíñôåðàçíàÿ àêòèâíîñòü ýðèòðîöèòîâ [666], ãèïåðõîëåñòåðèíåìèÿ [794], êîðîíàðíàÿ áîëåçíü ñåðäöà [847] è ãèïåðëèïèäåìèÿ [954]. Íåêîòîðûå îáîáùåíèÿ ìîæíî íàéòè â [819-822].


Ïðèëîæåíèå 5

Äèàãíîñòèêà çèãîòíîñòè

 


 

 

ùåì: êàêàÿ äîëÿ âñåõ áëèçíåöîâûõ ïàð ñ îäèíàêîâîé êîìáèíàöèåé ãåíåòè÷åñêèõ ìàðêåðîâ ó ñàìèõ áëèçíåöîâ è èõ ðîäèòåëåé áóäåò äèçèãîòíîé? Èëè èíà÷å: åñëè ïðåäïîëîæèòü, ÷òî âñå áëèçíåöîâûå ïàðû ìîíîçèãîòíûå, òî êàê ÷àñòî ýòî ïðåäïîëîæåíèå áóäåò îøèáî÷íûì? Îáùàÿ ôîðìóëà Áàéåñà èìååò âèä
ãäå A1 è B-ðàçíûå ñîáûòèÿ, à À2 îáîçíà÷àåò ñîáûòèå «íå A1».
 íàøåì ñëó÷àå Ð(À1/Â) ìîæåò áûòü âåðîÿòíîñòüþ ìîíîçèãîòíîñòè ñðåäè âñåõ áëèçíåöîâûõ ïàð ñ èäåíòè÷íûìè ãðóïïàìè êðîâè. Òîãäà 1 — Ρ (A1/B)- âåðîÿòíîñòü áëèçíåöîâîé ïàðå áûòü äèçèãîòíîé èëè âåðîÿòíîñòü îøèáêè, êîãäà áëèçíåöîâàÿ ïàðà êëàññèôèöèðîâàíà êàê ìîíîçèãîòíàÿ. Ð(À1 - àïðèîðíàÿ âåðîÿòíîñòü ÌÇ áëèçíåöîâ ñðåäè âñåõ áëèçíåöîâ â ïîïóëÿöèè. Ýòî îêîëî 30% â åâðîïåéñêèõ ïîïóëÿöèÿõ. Ð(A2) - àïðèîðíàÿ âåðîÿòíîñòü áëèçíåöîâîé ïàðå áûòü äèçèãîòíîé. Ð(À2) = 1 — Ð(À1) = 0,7. Óðàâíåíèå Ï.5.1 ìîæíî óïðîñòèòü
Çäåñü Q- îòíîøåíèå ÄÇ/ÌÇ â ïîïóëÿöèè (åñëè 30% âñåõ áëèçíåöîâûõ ïàð ýòî ÌÇ, òî Q = 2,33). L - îòíîøåíèå óñëîâíûõ âåðîÿòíîñòåé ÄÇ è ÌÇ áëèçíåöîâ îêàçàòüñÿ èäåíòè÷íûìè ïî äàííîé êîìáèíàöèè ãåíåòè÷åñêèõ ìàðêåðîâ. Åãî çíà÷åíèå ìîæíî âû÷èñëèòü ïóòåì ïåðåìíîæåíèÿ Li äëÿ ðàçëè÷íûõ ìàðêåðíûõ ñèñòåì

214 Ïðèëîæåíèå 5

 

214 Ïðèëîæåíèå 5 Ïðèìåð äèàãíîñòèêè çèãîòíîñòè    
  Îòåö Ìàòü Îáà áëèçíåöà
Ïîë
Ãðóïïû êðîâè À2 A2
  MS/Ms MS/Ms MS/MS
  Kk kk Kk
  Fy (a + b+) Fy (a - b +) Fy (a - b +)
  R1r R2r rr
Ñûâîðîòî÷íûå áåëêè Glm (-1) Glm (-1, -2) Glm(-l, -2)
  Km (-1) Km(-l) Km(-l)
  HP 2-2 HP 2-2 HP 2-2
  GC 2-2 GC2-1 GC 2-1
Èçîôåðìåíòû ACP Â ACP AB ACP AB
  PGM1 2 - 1 PGM1 2 - 1 PGM1 1 - 1
  AK1 1 - 1 AK1 1 - 1 AK1 1 - 1

Ïðèìåð.  òàáë. Ï.5.1 è Ï.5.2 ïðåäñòàâëåí ïðèìåð. Ïðîñìàòðèâàÿ ñïèñîê ãåíåòè÷åñêèõ ìàðêåðîâ, ìîæíî óáåäèòüñÿ, ÷òî íåêîòîðûå èç íèõ íåèíôîðìàòèâíû: ðîäèòåëè è äåòè îêàçûâàþòñÿ ãåíåòè÷åñêè èäåíòè÷íûìè (IGHG(Gm), IGHG(Km), HP, AK). Äëÿ áîëüøèíñòâà äðóãèõ ìàðêåðîâ òèïû áðàêà è, ñëåäîâàòåëüíî, îæèäàåìûå ñåãðåãàöèîííûå îòíîøåíèÿ ñðåäè äåòåé î÷åâèäíû. Íàïðèìåð, â ñèñòåìå GC îòåö ãîìîçèãîòåí 2-2, ìàòü ãåòåðîçèãîòíà 2-1, ïîýòîìó îæèäàåìîå ñåãðåãàöèîííîå îòíîøåíèå ñðåäè äåòåé ñîñòàâëÿåò 1:1. Åñëè áëèçíåö 1 èìååò òèï 2-1 è áëèçíåöû äèçèãîòíûå, òî âåðîÿòíîñòü äëÿ áëèçíåöà 2 áûòü 2-1 òàêæå ñîñòàâëÿåò 0,50. Äëÿ ãðóïï êðîâè ÀÂÎ ïîëîæåíèå íå ñòîëü î÷åâèäíî, ïîñêîëüêó îòåö (ñ ôåíîòèïîì À2) ìîæåò èìåòü ãåíîòèïû À2À2 èëè À20. Åñëè îí À2À2, òî îáà áëèçíåöà äîëæíû èìåòü ôåíîòèï À2, äàæå åñëè îíè äèçèãîòíûå. Åñëè îí À20, òî âåðîÿòíîñòü, ÷òî âòîðîé áëèçíåö òîæå À2, ðàâíà 0,50. Èíîãäà ìîæíî óñòàíîâèòü ãåíîòèï ðîäèòåëÿ, íàïðèìåð, åñëè ó äðóãîãî ðåáåíêà ãðóïïà êðîâè 0.  îñòàëüíîì ñèñòåìó ãðóïï êðîâè ÀÂÎ ìîæíî ñ÷èòàòü íåèíôîðìàòèâíîé è íå ðàññìàòðèâàòü. Äâà âîçìîæíûõ ãåíîòèïà ñëåäóåò îæèäàòü â ïðîïîðöèè ð2: 2r, ãäå ð2 è r-÷àñòîòû àëëåëåé À2 è 0 â ïîïóëÿöèè. Òîãäà óñëîâíàÿ âåðîÿòíîñòü, ÷òî áëèçíåö èìååò ãåíîòèï À2, ìîæåò áûòü ïîëó÷åíà òàê


 

Îäíàêî ýòî ðàñïðåäåëåíèå ãåíîòèïîâ ÿâëÿåòñÿ ñìåùåííûì èç-çà èñêëþ÷åíèÿ òåõ, êòî îäíîçíà÷íî èäåíòèôèöèðîâàí íà îñíîâàíèè ãåíîòèïà äðóãîãî ðåáåíêà, èìåþùåãî ãðóïïó êðîâè 0. Äëÿ äðóãèõ ñèñòåì êðîâè âû÷èñëåíèå ïðîèçâîäèòñÿ ñëåäóþùèì îá-
Òàáëèöà Ï.5.2. Ðàñ÷åòû ïî äàííûì òàáëèöû Ï.5.1
 
Àïðèîðíàÿ âåðîÿòíîñòü 0,70 0,30
Óñëîâíûå âåðîÿòíîñòè 1}    
Ïîë 0,50 1,00
ÀÂÎ 0,50-1,00 1,00
MNSs 0,25 1,00
Kell (K) 0,50 1,00
Duffy 0,50 1,00
Rh 0,25 1,00
GC 0,50 1,00
ACP 0,50 1,00
PGM1 0,25 1,00
1) Óñëîâíàÿ âåðîÿòíîñòü òîãî, ÷òî ôåíîòèï âòîðîãî áëèçíåöà ñîâïàäàåò ñ ôåíîòèïîì ïåðâîãî, åñëè ôåíîòèï ïåðâîãî áëèçíåöà çàäàí

Ïðèëîæåíèå 5 215

 

    Ïðèëîæåíèå 5 215
Àïðèîðíàÿ âåðîÿòíîñòü ïîë MNSs Ê Fy Rh ÀÑÐ PGM1  
õ 0,5 õ 0,25 õ 0,5 õ 0,5 õ 0,25 õ 0,5 õ 0,5 õ 0,25 = 0,0011,

Ð(À1/Â) = 0,9989.

Ñëåäîâàòåëüíî, âåðîÿòíîñòü òîãî, ÷òî áëèçíåöîâàÿ ïàðà äèçèãîòíà, íåñìîòðÿ íà åå êîíêîðäàíòíîñòü ïî âñåì èíôîðìàòèâíûì ìàðêåðíûì ñèñòåìàì, êðàéíå íèçêà. Äëÿ âñåõ ïðàêòè÷åñêèõ öåëåé ïðåäïîëàãàåòñÿ ìîíîçèãîòíîñòü. Âêëþ÷åíèå â àíàëèç äîïîëíèòåëüíûõ ìåíäåëåâñêèõ ìàðêåðîâ ïîâûñèò âåðîÿòíîñòü óòâåðæäåíèÿ, ÷òî áëèçíåöîâàÿ ïàðà ìîíîçèãîòíà. Îñîáåííî ýôôåêòèâíî äëÿ äèàãíîñòèêè çèãîòíîñòè èñïîëüçîâàíèå HLA-ìàðêåðîâ èç-çà îãðîìíîé âàðèàáåëüíîñòè ýòîé ñèñòåìû. Çàìåòèì, ÷òî â íàøåì ïðèìåðå çíàìåíàòåëè â óðàâíåíèè Ï.5.3 âñåãäà áûëè ðàâíû 1, ò.å. ÌÇ áëèçíåöû âñåãäà èäåíòè÷íû ïî âñåì ñâîèì ìàðêåðàì.  ïðèíöèïå ìåòîä äîïóñêàåò òàêæå âêëþ÷åíèå êîëè÷åñòâåííûõ ïðèçíàêîâ, ïî êîòîðûì ÌÇ áëèçíåöû ìîãóò ðàçëè÷àòüñÿ, íî â ñðåäíåì áîëåå ñõîäíû, ÷åì ÄÇ áëèçíåöû.  ýòîì ñëó÷àå çíàìåíàòåëü â óðàâíåíèè Ï.5.3 îòëè÷àåòñÿ îò 1. Îäíàêî íà ïðàêòèêå òàêîå ðàñøèðåíèå ìåòîäà èìååò íåáîëüøîå çíà÷åíèå.

Ãåíîòèïû ðîäèòåëåé ìîãóò áûòü íåèçâåñòíû.  îïèñàííîì âûøå ïðèìåðå ãåíåòè÷åñêèå ìàðêåðû áûëè èçâåñòíû íå òîëüêî â áëèçíåöîâîé ïàðå, íî è ó ðîäèòåëåé. Îäíàêî âî ìíîãèõ ñëó÷àÿõ íåò âîçìîæíîñòè îáñëåäîâàòü ðîäèòåëåé. Ïðè òàêèõ îáñòîÿòåëüñòâàõ äëÿ âû÷èñëåíèÿ ìîæíî èñïîëüçîâàòü èçâåñòíûå ãåííûå ÷àñòîòû ìàðêåðíûõ ñèñòåì â ïîïóëÿöèè. Ïðàâèëà áûëè ñôîðìóëèðîâàíû Ñìèòîì è Ïåíðîóçîì (1955) [881]. Óñëîâíàÿ âåðîÿòíîñòü Ði,ÄÇ òîãî, ÷òî áëèçíåö 2 èìååò òîò æå ôåíîòèï, ÷òî è áëèçíåö 1, åñëè ôåíîòèï ïîñëåäíåãî i, âû÷èñëÿåòñÿ èç ÷àñòîò òèïîâ áðàêà â ïîïóëÿöèè (òàáë. Ï.5.3) è èç îòíîñèòåëüíîãî êîëè÷åñòâà äåòåé ñ ðàçíûìè ãåíîòèïàìè, îæèäàåìîãî â ýòèõ áðàêàõ (òàáë. Ï.5.4 è Ï.5.5).  òàáë. Ï.5.6-Ï.5.21 ïðèâåäåíû


 

çíà÷åíèÿ äëÿ Ði,ÄÇ è îáû÷íî èñïîëüçóåìûõ ïîëèìîðôíûõ ãåíåòè÷åñêèõ ñèñòåì. Ýòè ãåííûå ÷àñòîòû âçÿòû ãëàâíûì îáðàçîì èç äàííûõ äëÿ ïîïóëÿöèé Ñåâåðî-Âîñòî÷íîé Åâðîïû.

Ìåòîäû êëàññè÷åñêîé àíòðîïîëîãèè. Åùå äî òîãî, êàê áûëè îòêðûòû øèðîêî èçâåñòíûå íûíå ñèñòåìû ãåíåòè÷åñêîãî ïîëèìîðôèçìà, äëÿ äèàãíîñòèêè çèãîòíîñòè èñïîëüçîâàëñÿ äîâîëüíî íàäåæíûé ìåòîä, ïðåäëîæåííûé â 1924 ã. Ñèìåíñîì. Îí îñíîâàí íà ñðàâíåíèè áîëüøîãî ÷èñëà àíòðîïîñêîïè÷åñêèõ ïðèçíàêîâ; ñðåäè íèõ öâåò, ôîðìà è ïëîòíîñòü âîëîñ, ÷åðòû ëèöà, äåòàëüíàÿ ñòðóêòóðà ðÿäà ëèöåâûõ îáëàñòåé (ãëàçà, áðîâè, öâåò è ñòðóêòóðà ðàäóæíîé îáîëî÷êè), äåòàëè îáëàñòè íîñà è ðòà, ïîäáîðîäîê, óøè, ôîðìà êèñòåé è ñòîï, äåðìàòîãëèôèêà, öâåò è ñòðóêòóðà êîæè (âêëþ÷àÿ âåñíóøêè). Ïîëåçíû òàêæå ðàçëè÷íûå àíòðîïîìåòðè÷åñêèå õàðàêòåðèñòèêè òåëà, ãîëîâû è ëèöà.  àíòðîïîëîãè÷åñêîé ëèòåðàòóðå èìååòñÿ ñïèñîê èíôîðìàòèâíûõ ïðèçíàêîâ. Íà ïðàêòèêå èññëåäîâàòåëü îñíîâûâàåò ñâîé äèàãíîç íå ñòîëüêî íà ñðàâíåíèè îòäåëüíûõ ÷åðò, ñêîëüêî íà öåëîñòíîì îá-

 

 

 

 

 

 

 

 

Òàáëèöà Ï.5.3. Òàáëèöà ñëó÷àéíûõ áðàêîâ äëÿ ñèñòåìû äâóõ àëëåëåé [881]  
Áðàê ×àñòîòà Äåòè      
 
 
 
 
 
 
 
 

 

 

 

Òàáëèöà Ï.5.4. ×àñòîòû ñèáñ — ñèáñ äëÿ ñèñòåìû äâóõ àëëåëåé [882]  
Ãåíîòèï ïåðâîãî ñèáñà Ãåíîòèï âòîðîãî ñèáñà          
 
 
 
             
Ôåíîòèï ïåðâîãî ñèáñà Ôåíîòèï âòîðîãî ñèáñà          
 
 
Òàáëèöà Ï.5.5. Îòíîñèòåëüíûå øàíñû â ïîëüçó äèçèãîòíîñòè áëèçíåöîâûõ ïàð â ñèñòåìå äâóõ àëëåëåé [882]  
Ãåíîòèï Ôåíîòèï  
 
 
             
Òàáëèöà Ï.5.6. Ñèñòåìà ÀÂÎ (3459 ëèö èç Àíãëèè [211]) Òàáëèöà Ï.5.7. Ñèñòåìà MNSs (1419 ëèö è; Àíãëèè [211])  
 
 
 

 


Ïðèëîæåíèå 5 217

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Òàáëèöà Ï.5.8. Ñèñòåìà Ðåçóñ (Rh): ôåíîòèïû îáîçíà÷åíû ïî ðåàêöèÿì ñ àíòèñûâîðîòêàìè + Ww, ñ, D, E, Cw, e (2000 ëèö èç Àíãëèè) Òàáëèöà Ï.5.11. Ñèñòåìà Äàôôè (Duffy) (1944 ëèö èç Àíãëèè)  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Òàáëèöà Ï.5.12. Ñèñòåìà Êèää (Kidd) (4275 ëèö ñî âñåãî ñâåòà)  
 
×àñòîòû àëëåëåé    
 
 
 
     
Òàáëèöà Ï.5.9. Ñèñòåìà P (2345 ëèö èç Øâåöèè)  
 
 
 
 
 
 
 
Òàáëèöà Ï.5.13. Ñèñòåìà Ëþòåðàí (Lutheran) (1373 ëèö èç Àíãëèè)  
    ×àñòîòû àëëåëåé  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Òàáëèöà Ï.5.10. Ñèñòåìà Êåëë (Kell) (l 108 ëèö èç Àíãëèè [211])  
 
 
 
 
 
 
 

 


Ïðèëîæåíèå 5 218

 

 

 

Òàáëèöà Ï.5.14. Ñåêðåòîðû è íåñåêðåòîðû (1118 ëèö èç Ëèâåðïóëÿ) Òàáëèöà Ï.5.18. Ñèñòåìà IGKC (Km) (1234 ëèö èç ÔÐÃ)
Òàáëèöà Ï.5.15. Ñèñòåìà Íð Òàáëèöà Ï.5.19. Ñèñòåìà ÀÊ (108 ëèö èç ÔÐÃ)
×àñòîòà àëëåëåé
Òàáëèöà Ï.5.16. Ñèñòåìà GC (678 ëèö èç ÔÐÃ) Òàáëèöà Ï.5.20. Ñèñòåìà ACPI (528 ëèö èç ÔÐÃ)
×àñòîòû àëëåëåé
Òàáëèöà Π 5 17 Ñèñòåìà IGHG (Gm) (1234 ëèö èç ÔÐÃ) Òàáëèöà Ï.5.21. Ñèñòåìà PGM1 (68 ëèö èç ÔÐÃ)

Ðèñ. Ï. 5.1. Òðîå ÌÇ áëèçíåöîâ (àíôàñ è ïðîôèëü) â âîçðàñòå 10 ëåò


Êàê ìû ïîñòóïàåì íà ïðàêòèêå? Èç ïðåäøåñòâóþùåãî îáñóæäåíèÿ ìîæåò ïîêàçàòüñÿ, ÷òî èññëåäîâàíèå ãåíåòè÷åñêèõ ìàðêåðíûõ ñèñòåì ÿâëÿåòñÿ íàèáîëåå ïîäõîäÿùèì, à òàêæå äîñòàòî÷íûì ìåòîäîì äëÿ íàäåæíîé äèàãíîñòèêè çèãîòíîñòè. Îäíàêî ýòîò âûâîä íóæäàåòñÿ â íåêîòîðûõ ïîÿñíåíèÿõ. Îøèáêà â îïðåäåëåíèè òîëüêî îäíîé ñèñòåìû òîëüêî ó îäíîãî èç äâóõ áëèçíåöîâ ïðèâåäåò ê îøèáî÷íîé êëàññèôèêàöèè ÌÇ ïàðû êàê äèçèãîòíîé, ïîýòîìó èññëåäîâàòåëü äîëæåí ïðîâåðèòü âûâîä ñâîèìè ãëàçàìè. Åñëè, íåñìîòðÿ íà äèñêîðäàíòíîñòü, ïî ìàðêåðíîé ñèñòåìå ïðè ôèçèîíîìè÷åñêîì ñðàâíåíèè áëèçíåöû êàæóòñÿ ìîíîçèãîòíûìè, íåîáõîäèìî íàñòîÿòü íà ïîâòîðíîì ñåðîëîãè÷åñêîì îáñëåäîâàíèè. Ïîìèìî âîçìîæíîñòè ëàáîðàòîðíûõ îøèáîê èçó-


 

 

 
Ðèñ. Ï.5.2. è Ï.5.3. Ôèçèîíîìè÷åñêèå äåòàëè òðåõ ÌÇ áëèçíåöîâ ñ ðèñ Π 5 1  
 
Ðèñ. Ï.5.4. ÌÇ áëèçíåöû â âîçðàñòå 10 ëåò Äèñêîðäàíòíîñòü ïî ðîñòó (ïî êàðëèêîâîñòè) íèçêîðîñëûé áëèçíåö, ðîæäåííûé âòîðûì, íèêîãäà íå óìåë õîäèòü è ãîâîðèòü Ó íåãî îáíàðóæåíî íåñïåöèôèðîâàííîå ïðîãðåäèåíòíîå íàðóøåíèå ñêåëåòà Îí óìåð âñêîðå ïîñëå îáñëåäîâàíèÿ Ó åãî áðàòà-áëèçíåöà íîðìàëüíûé ðîñò, íî íàáëþäàåòñÿ áèëàòåðàëüíîå ðàñùåïëåíèå ðàäóæíîé îáîëî÷êè ãëàç, êîòîðîå îòñóòñòâóåò ó áëèçíåöà-êàðëèêà [687]  

Ïðèëîæåíèå 5. 221

 

 

 

 

ñóáúåêòèâåí Ñåðîëîãè÷åñêèé äèàãíîç, íàîáîðîò, áîëåå îáúåêòèâåí, íî âñåãäà âîçìîæíû ëàáîðàòîðíûå îøèáêè  èäåàëå áëèçíåöîâîå îáñëåäîâàíèå äîëæíî âñåãäà âêëþ÷àòü îïèñàíèå ïëàöåíòû è ïëîäíûõ îáîëî÷åê ÄÇ áëèçíåöû ÷àùå âñåãî èìåþò äâå ïëàöåíòû, äâà àìíèîíà è äâà õîðèîíà, òîãäà êàê ÌÇ áëèçíåöû ìîãóò èìåòü îäíó ïëàöåíòó, îäèí õîðèîí è äàæå îäèí àìíèîí Êàê óæå óïîìèíàëîñü â ðàçä 384, íàëè÷èå òîëüêî îäíîãî õîðèîíà ìîæåò áûòü âàæíûì ñâèäåòåëüñòâîì ìîíîçèãîòíîñòè áëèçíåöîâ Îäíàêî íà ïðàêòèêå ðåäêî èìååòñÿ íàäåæíàÿ èíôîðìàöèÿ îá ýòîì, è, êðîìå òîãî, ïëàöåíòà ÄÇ áëèçíåöîâ ìîæåò ñëèòüñÿ âîåäèíî, èìèòèðóÿ òåì ñàìûì ÌÇ áëèçíåöîâ Âêëþ÷åíèå òàêèõ äàííûõ â äèàãíîñòèêó çèãîòíîñòè ìîæåò ïðèâîäèòü ê îøèáî÷íûì âûâîäàì.

 

 


Ïðèëîæåíèå 6

Âû÷èñëåíèå êîýôôèöèåíòà íàñëåäóåìîñòè ïî áëèçíåöîâûì äàííûì


Ïîíÿòèå íàñëåäóåìîñòè áûëî ââåäåíî â ðàçä. 3.6.1.5 è ðàçä. 3.6.2. Òàì æå îïèñàíû ìåòîäû ïîëó÷åíèÿ îöåíîê íàñëåäóåìîñòè ïîðîãîâûõ ïðèçíàêîâ. Êðèòåðèåì ñëóæèëî îòíîøåíèå ìåæäó ÷àñòîòîé ñðåäè áëèçêèõ ðîäñòâåííèêîâ ïðîáàíäîâ è â îáùåé ïîïóëÿöèè. Äëÿ íåïðåðûâíî ðàñïðåäåëåííûõ ïðèçíàêîâ, òàêèõ, êàê ðîñò, íàñëåäóåìîñòü îöåíèâàëè èç ñðàâíåíèÿ ðîäèòåëåé è äåòåé.  êà÷åñòâå àëüòåðíàòèâíîãî ñïîñîáà ïîëó÷åíèÿ îöåíîê íàñëåäóåìîñòè ìîæíî èñïîëüçîâàòü áëèçíåöîâûå äàííûå.  ðàçä. 3.6.1.5 íàñëåäóåìîñòü áûëà îïðåäåëåíà êàê
ò.å. îòíîøåíèå àääèòèâíîé ãåíåòè÷åñêîé äèñïåðñèè (VA) ê îáùåé ôåíîòèïè÷åñêîé äèñïåðñèè (VP). Îòìå÷àëîñü òàêæå, ÷òî â ãåíåòèêå ÷åëîâåêà h2 ÷àñòî íàçûâàåòñÿ «íàñëåäóåìîñòüþ â óçêîì ñìûñëå» â ïðîòèâîïîëîæíîñòü Í2 = VG/VP (íàñëåäóåìîñòü â øèðîêîì ñìûñëå, íàçûâàåìàÿ òàêæå ñòåïåíüþ ãåíåòè÷åñêîé äåòåðìèíàöèè), ãäå VG - îáùàÿ ãåíîòèïè÷åñêàÿ äèñïåðñèÿ, âêëþ÷àþùàÿ äîìèíèðîâàíèå, ýïèñòàç è äèñïåðñèþ âçàèìîäåéñòâèÿ.
 ýòîì ïðèëîæåíèè ïîëó÷åíèå îöåíîê íàñëåäóåìîñòè h2 áóäåò îãðàíè÷åíî áëèçíåöîâûìè äàííûìè. Èç îäíèõ ëèøü áëèçíåöîâûõ äàííûõ íåâîçìîæíî îöåíèòü VD, äèñïåðñèþ äîìèíèðîâàíèÿ. Êðîìå òîãî, ïî äàííûì Ôîëêîíåðà VD îáû÷íî íåçíà÷èìà ïî ñðàâíåíèþ ñ VA [63]. Òàêèì îáðàçîì, îøèáêà, âûòåêàþùàÿ èç ïðåäïîëîæåíèÿ î ñîâïàäåíèè îáùåé ãåíîòèïè÷åñêîé äèñïåðñèè (VG) è àääèòèâíîé äèñïåðñèè (VA), ïî-âèäèìîìó, ìàëà. Åñëè ñäåëàòü ïðåäïîëîæåíèå î VG = VA, ôîðìóëà ïðèìåò âèä

 

Êàê ïîêàçàíî â ðàçä. 3.6.1,
Çäåñü VE - ñðåäîâàÿ äèñïåðñèÿ, V1 - äèñïåðñèÿ âñëåäñòâèå âçàèìîäåéñòâèÿ íàñëåäñòâåííîñòè è ñðåäû è VM - äèñïåðñèÿ èçìåðåíèé îäíîãî è òîãî æå ïðèçíàêà, îòðàæàþùàÿ ëèáî èñòèííî ðàçíûå çíà÷åíèÿ (òàêèå, êàê äàâëåíèå êðîâè â ðàçíûå äíè), ëèáî îøèáêè èçìåðåíèé. CovGE - êîâàðèàöèÿ ìåæäó ãåíåòè÷åñêîé è ñðåäîâîé êîìïîíåíòàìè ôåíîòèïè÷åñêîãî çíà÷åíèÿ. Ïîëó÷åíèå îöåíêè íàñëåäóåìîñòè èç áëèçíåöîâûõ äàííûõ òðåáóåò, ÷òîáû V1 è CovGE áûëè ðàâíû 0. Ýòî ïðåäïîëîæåíèå â áîëüøèíñòâå ñëó÷àåâ íåðåàëèñòè÷íî, îñîáåííî â ãåíåòèêå ïîâåäåíèÿ, íî åñëè ïàðàìåòðû VI è CovGE îòëè÷àþòñÿ îò íóëÿ, ïîëó÷åíèå èõ îöåíîê ïðåäñòàâëÿåò ñîáîé íåâåðîÿòíî òðóäíóþ çàäà÷ó. Ñëåäóåò ó÷èòûâàòü äèñïåðñèþ èçìåðåíèé VM, õîòÿ âî ìíîãèõ áëèçíåöîâûõ èññëåäîâàíèÿõ åå íå ðàññìàòðèâàþò. Óðàâíåíèå Ï.6.1 ïðèíèìàåò âèä
Áèîëîãè÷åñêèé ñìûñë èìååò è àëüòåðíàòèâíîå îïðåäåëåíèå
Çäåñü ðàññìàòðèâàåòñÿ òîëüêî ïîñòîÿííàÿ ÷àñòü ôåíîòèïè÷åñêîé äèñïåðñèè, à íå òà, êîòîðàÿ èçìåíÿåòñÿ îòî äíÿ êî äíþ.
Åñëè CovGE = 0, òî ñïðàâåäëèâî ñëåäóþùåå ñîîòíîøåíèå ìåæäó êîýôôèöèåíòîì êîððåëÿöèèôåíîòèïè÷åñêèõ çíà÷åíèé Ð1 è Ð2 äâóõ ðîäñòâåííèêîâ, êîýôôèöèåíòîì êîððåëÿöèè ãåíîòèïè÷åñêèõ çíà÷åíèé G1 è G2 è êîýôôèöèåíòîì

Ïðèëîæåíèå 6 223



 

 

Äëÿ ðàñ÷åòîâ âìåñòî óðàâíåíèÿ Ï.6.7 ìîæíî èñïîëüçîâàòü
Ýòî óðàâíåíèå ïðèìåíèìî ê ÌÇ ïàðàì, ÄÇ ïàðàì èëè íåðîäñòâåííûì êîíòðîëüíûì ïàðàì èç îáùåé ïîïóëÿöèè (ÑÐ):
Íàø äàëüíåéøèé àíàëèç áóäåò ñîñòîÿòü èç äâóõ ýòàïîâ. Íà ïåðâîì èç íèõ íóæíî èññëåäîâàòü, îòêëîíÿåòñÿ ëè h2 çíà÷èìî îò íóëÿ. Çàòåì íóæíî îöåíèòü h2. Òåñòèðîâàíèå íóëåâîé ãèïîòåçû (h2 = 0). Åñëè ïðåäïîëîæèòü, ÷òî rå,ìç = rå,äç, òî èç óðàâíåíèé Ï. 6.2 è Ï. 6.3 ñëåäóåò, ÷òî ãèïîòåçà h2 = 0 ýêâèâàëåíòíà ãèïîòåçå
Äëÿ òåñòèðîâàíèÿ ýòîé ïîñëåäíåé ãèïîòåçû èñïîëüçóåòñÿ òîò ôàêò, ÷òî â äàííîì ñëó÷àå
è èìååò ïðèáëèçèòåëüíî íîðìàëüíîå ðàñïðåäåëåíèå ñî ñðåäíåé 0 è äèñïåïñèåé

Ïðèëîæåíèå 6


 

 

 
 
 

 

Ñëåäîâàòåëüíî, h22 áóäåò îáû÷íî çàâûøàòü h2.  ýòèõ äâóõ îöåíêàõ h2 èñïîëüçîâàëèñü èñêëþ÷èòåëüíî âíóòðèïàðíûå äèñïåðñèè. ×àñòî h2 îöåíèâàåòñÿ òàêæå èç êîýôôèöèåíòîâ âíóòðèïàðíîé êîððåëÿöèè, êîòîðûå âû÷èñëÿþò ñ èñïîëüçîâàíèåì äèñïåðñèè âñåé âûáîðêè ÌÇ è ÄÇ áëèçíåöîâ, ò.å. äèñïåðñèè ìåæäó áëèçíåöîâûìè ïàðàìè. Èç óðàâíåíèÿ Ï.6.4 ìîæíî ïîëó÷èòü ñëåäóþùóþ ôîðìóëó äëÿ îöåíèâàíèÿ:
Ýòà ôîðìóëà ñîäåðæèò ïðåäïîëîæåíèå rG,ÄÇ = 1/2, êîòîðîå ñïðàâåäëèâî, òîëüêî åñëè áðàê ïàíìèêñíûé è íåò íè äîìèíèðîâàíèÿ, íè ýïèñòàçà. Íà ïðàêòèêå ýòî óñëîâèå âûïîëíÿåòñÿ â ëó÷øåì ñëó÷àå ïðèáëè-
âñëåäñòâèå àññîðòàòèâíîãî ñêðåùèâàíèÿ è íåò íè äîìèíèðîâàíèÿ, íè ýïèñòàçà. Ñòàíäàðòíóþ îøèáêó îöåíêè h32 ìîæíî âû÷èñëèòü ëèøü î÷åíü ïðèáëèæåííî
Çàìå÷àíèÿ ê èçëîæåííûì ìåòîäàì ïîëó÷åíèÿ îöåíêè íàñëåäóåìîñòè. Èç âûøå ñêàçàííîãî ñëåäóåò, ÷òî íåñìåùåííàÿ îöåíêà h2 ïî áëèçíåöîâûì äàííûì íåâîçìîæíà, äàæå åñëè ïðåíåáðå÷ü òàêèìè êîìïîíåíòàìè, êàê êîâàðèàöèÿ ìåæäó íàñëåäñòâåííîñòüþ è ñðåäîé (CovG,E) è äèñïåðñèÿ âçàèìîäåéñòâèÿ (VI), è ñäåëàòü ìàëîâåðîÿòíîå ïðåäïîëîæåíèå îá èäåíòè÷íîñòè ñðåäîâûõ êîððåëÿöèé rE,MÇ è rå,äç, ò. å. îá èäåíòè÷íîñòè îáùåñðåäîâûõ ôàêòîðîâ äëÿ ÌÇ è ÄÇ ïàð. È ïðè òàêèõ ñèëüíî óïðîùàþùèõ ïðåäïîëîæåíèÿõ îñòàþòñÿ ñèñòåìàòè÷åñêèå îøèáêè, êîòîðûå íåâîçìîæíî ïðîêîíòðîëèðîâàòü ïîëíîñòüþ.
Ýìïèðè÷åñêèé ñïîñîá ïðåîäîëåíèÿ ýòèõ òðóäíîñòåé çàêëþ÷àåòñÿ â âû÷èñëåíèè àëüòåðíàòèâíûõ îöåíîê èç îäíèõ è òåõ æå äàííûõ è â ñðàâíåíèè, íàñêîëüêî õîðîøî îíè ñîâïàäàþò. Òðè ïðåäëîæåííûå âûøå

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Òàáëèöà Ï.6.1. Ïîêàçàòåëü èíòåëëåêòóàëüíîãî ðàçâèòèÿ â áëèçíåöîâûõ ïàðàõ  
ÌÇ ïàðû     ÄÇ ïàðû      
Íîìåð ïàðû Íîìåð ïàðû  
 
   
   
   
   
   
   
   
   
   
   
È    
   
   
   
   
   
   
   
   
   
   
   
   
   
   
        ÏÎ    
 
 
 

 

ðèïàðíûìè âîçðàñòíûìè ðàçëè÷èÿìè èñïîëüçîâàëè ñëåäóþùóþ ïðîöåäóðó. Âñå áëèçíåöîâûå ïàðû íåçàâèñèìî îò çèãîòíîñòè êëàññèôèöèðîâàëè ïî âîçðàñòó (îò ìåíüøåãî ê áîëüøåìó). Çàòåì ïåðâóþ è âòîðóþ, òðåòüþ è ÷åòâåðòóþ ïàðû è ò.ä. îáúåäèíÿëè â ÷åòâåðêè, èç êîòîðûõ ïóòåì ñëó÷àéíîãî îáìåíà ñîáëèçíåöàìè ôîðìèðîâàëè íîâûå ïàðû. Íàáëþäàåìûå çíà÷åíèÿ ïîêàçàòåëÿ èíòåëëåêòóàëüíîãî ðàçâèòèÿ (pi1, pi2), a òàêæå ïîëó÷åííûå íà èõ îñíîâå
÷åíèÿ îïèñàíû íèæå) ïðèâåäåíû â òàáë. Ï.6.1 äëÿ áëèçíåöîâûõ ïàð è â òàáë. Ï.6.2 äëÿ êîíòðîëüíûõ ïàð. Èç ýòèõ òàáëèö ïîëó÷àåì à) äëÿ ÌÇ ïàð â ñîîòâåòñòâèè ñ óðàâíåíèåì

226 Ïðèëîæåíèå 6


 

 

Òàáëèöà Ï.6.2. Ïîêàçàòåëü èíòåëëåêòóàëüíîãî ðàçâèòèÿ â êîíòðîëüíûõ ïàðàõ  
Íîìåð ïàðû Íîìåð ïàðû  
 
1 89  
2 102  
3 106  
4 114  
5 96  
6 97  
7 125  
8 128  
9 77  
10 85  
11 78  
12 107  
13 104 ÍÎ  
14 92  
15 84  
16 107 ÈÇ  
17 103  
18 98  
19 91  
20 102  
21 98  
22 118  
23 95  
24 113  
25 87  
 
 
 

 

 

Ïîëó÷åííûå âûøå äîâåðèòåëüíûå èíòåðâàëû äëÿ rÐ,ÌÇ è rÐ,ÄÇ ïîêàçûâàþò, ÷òî êîýôôèöèåíò âíóòðèïàðíîé êîððåëÿöèè ïî IQ çíà÷èìî îòêëîíÿåòñÿ îò 0 (Ð < 0,01) äëÿ îáîèõ òèïîâ áëèçíåöîâ. Ýòî îçíà÷àåò, ÷òî áëèçíåöû íåçàâèñèìî îò èõ çèãîòíîñòè áîëåå ñõîäíû ïî IQ, ÷åì íåðîäñòâåííûå èíäèâèäû. Ýòîò ðåçóëüòàò âïîëíå çàêîíîìåðåí, åñëè IQ èìååò ãåíåòè÷åñêóþ îñíîâó, íî âñå æå íå èñêëþ÷àåò âîçìîæíîñòü è ÷èñòî íåãåíåòè÷åñêîãî îáúÿñíåíèÿ, ïîñêîëüêó áëèçíåöû èìåþò îáùóþ ñðåäó. Äëÿ èññëåäîâàíèÿ ýòîé âîçìîæíîñòè ìû òåñòèðóåì ãèïîòåçó rÐ,ÌÇ = rÐ,ÄÇ (íóëåâàÿ ãèïîòåçà).
Ïðè íóëåâîé ãèïîòåçå âåðîÿòíîñòü òîãî, ÷òî çíà÷åíèå z îêàæåòñÿ áîëüøå íàéäåííîãî, ïðåâûøàåò 10%. Ýòî îçíà÷àåò, ÷òî íà îñíîâàíèè ñðàâíåíèÿ êîýôôèöèåíòîâ âíóòðèïàðíîé êîððåëÿöèè â äâóõ íàøèõ âûáîðêàõ áëèçíåöîâ íåëüçÿ îòâåðãíóòü ãèïîòåçó h2 = 0, ò. å. ãèïîòåçó îá îòñóòñòâèè ãåíåòè-

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÷åñêoão âêëàäà â èçìåí÷èâîñòü IQ â ïîïóëÿöèè. Ñëåäîâàòåëüíî, îöåíêó h2 â ñîîòâåòñòâèè ñ óðàâíåíèåì Ï.6.15
òîæå íåëüçÿ ñ÷èòàòü çíà÷èìî îòëè÷íîé îò 0, ÷òî ïîäòâåðæäàåòñÿ ðàññìîòðåíèåì ñòàíäàðòíîé îøèáêè îöåíêè h32, êîòîðàÿ ïðèáëèæåííî ðàâíà 0,159 (â ñîîòâåòñòâèè ñ óðàâíåíèåì Ï.6.16). Âîçìîæíî, ÷òî ðàçíîñòü âíóòðèïàðíûõ êîððåëÿöèé ÌÇ è ÄÇ áëèçíåöîâûõ ïàð ïî IQ ñìåùåíà, ïðè÷åì âíóòðèïàðíàÿ äèñïåðñèÿ IQ ïî íåèçâåñòíîé ïðè÷èíå ìåíüøå ó ÄÇ áëèçíåöîâ, ÷åì ó ÌÇ.  ýòîì ñëó÷àå ñëåäóåò èñïîëüçîâàòü òîëüêî äâå îöåíêè h2, îñíîâûâàþùèåñÿ ëèøü íà âíóòðèïàðíûõ äèñïåðñèÿõ. Íî äàæå åñëè íåò ñìåùåíèÿ, ÷òî î÷åâèäíî äëÿ íàøèõ äàííûõ, âñå ðàâíî ðåêîìåíäóåòñÿ âû÷èñëåíèå äðóãèõ îöåíîê (óðàâíåíèÿ Ï.6.12 è Ï.6.13).  íàøåì ñëó÷àå
(Êîìïîíåíòà VM â çíàìåíàòåëå, ïðåäñòàâëÿþùàÿ ñîáîé äèñïåðñèþ ïîâòîðíûõ èçìåðåíèé IQ, áûëà îïóùåíà; çäåñü ìîæíî âñòà-

 

 

âèòü íàäåæíîñòü òåñòà I - S - T.) Ñòàíäàðòíûå îøèáêè ýòèõ îöåíîê ìîæíî âû÷èñëèòü ïî óðàâíåíèþ Ï.6.14
÷òî äàåò (ïî÷òè) 95%-íûé äîâåðèòåëüíûé èíòåðâàë îò — 0,23 äî 0,95 äëÿ h12 è îò 0,79 äî 0,97 äëÿ h22. Ýòè äâà èíòåðâàëà ÷àñòè÷íî ïåðåêðûâàþòñÿ, íî èõ ïåðåñå÷åíèå îòñòîèò îò h32 áîëåå ÷åì íà äâå ñòàíäàðòíûå îøèáêè ïîñëåäíåé îöåíêè. Òàêèì îáðàçîì, òðè îöåíêè h2 îêàçûâàþòñÿ íåñîâìåñòèìûìè. Ñ äðóãîé ñòîðîíû, h22, îáû÷íî çàâûøàåò h2: ïðåäïîëîæåíèå î òîì, ÷òî ñðåäîâûå âíóòðèïàðíûå ðàçëè÷èÿ ñîâïàäàþò äëÿ áëèçíåöîâ è íåðîäñòâåííûõ êîíòðîëüíûõ ïàð, íåêîððåêòíî. Ñëåäîâàòåëüíî, ðàçëè÷èå ìåæäó òðåìÿ ïîëó÷åííûìè îöåíêàìè ìîæíî îáúÿñíèòü ýòèì ñìåùåíèåì ñîâìåñòíî ñ âûáîðî÷íûìè îøèáêàìè, êîòîðûå âåëèêè èç-çà ìàëîãî ðàçìåðà íàøèõ áëèçíåöîâûõ âûáîðîê.  ëþáîì ñëó÷àå ýòè ðåçóëüòàòû òðóäíî ñîâìåñòèòü ñ âûñîêèìè çíà÷åíèÿìè íàñëåäóåìîñòè, ñîîáùàåìûìè äëÿ IQ íåêîòîðûìè àâòîðàìè [2086]. Ïðèâåäåííûé íàìè ïðèìåð èëëþñòðèðóåò ïðîáëåìû ïîëó÷åíèÿ îöåíîê íàñëåäóåìîñòè ïî áëèçíåöîâûì äàííûì ÷åëîâåêà è çàñòàâëÿåò ïðîÿâëÿòü îñòîðîæíîñòü â âûâîäàõ, ñäåëàííûõ íà îñíîâàíèè ýòèõ îöåíîê.
Äëÿ òåõ, êòî èíòåðåñóåòñÿ èñïîëüçîâàíèåì òîíêèõ ãåíåòè÷åñêèõ ìîäåëåé äëÿ èçó÷åíèÿ êîëè÷åñòâåííûõ ïðèçíàêîâ ó áëèçíåöîâ, ðåêîìåíäóåòñÿ ðàáîòà Èâñà [634]. Óïîìÿíåì òàêæå, ÷òî äëÿ òàêîãî àíàëèçà íåîáõîäèìû âûáîðêè îãðîìíîãî ðàçìåðà.

Ïðèëîæåíèå 7

Ìåòîä ïóòåâûõ êîýôôèöèåíòîâ


Îñíîâíûå ïîíÿòèÿ. Êîíöåïöèÿ íàñëåäóåìîñòè áàçèðóåòñÿ íà êîððåëÿöèÿõ ìåæäó ðîäñòâåííèêàìè. Âïåðâûå êîððåëÿöèè ñòàëè âû÷èñëÿòü áèîìåòðèêè. Ïîçæå Ôèøåð ïîêàçàë, ÷òî îïðåäåëåííûå êîððåëÿöèè ñëåäóþò è èç çàêîíîâ Ìåíäåëÿ. Íàëè÷èå êîððåëÿöèé ìîæíî òðàêòîâàòü ïî-ðàçíîìó. Åñëè À è  êîððåëèðóþò, òî À ìîæåò áûòü ÷àñòè÷íîé ïðè÷èíîé Â,  ìîæåò áûòü ÷àñòè÷íîé ïðè÷èíîé À èëè À èëè  ìîãóò âûñòóïàòü â êà÷åñòâå îáùåé ïðè÷èíû Ñ. Îäíàêî â ãåíåòèêå ïîñëåäîâàòåëüíîñòü ñîáûòèé ÷àñòî îäíîçíà÷íà: êîððåëÿöèÿ ìåæäó ðîäèòåëåì è ðåáåíêîì îáóñëîâëåíà òåì ôàêòîì, ÷òî ðåáåíîê íàñëåäóåò ñâîè ãåíû îò ðîäèòåëåé è æèâåò â ñðåäå, ñîçäàííîé èìè æå. Ðàéò [961] ïðåäëîæèë ñòàòèñòè÷åñêèé ìåòîä, ó÷èòûâàþùèé ýòî ïîñëåäîâàòåëüíîå îòíîøåíèå.
«Êà÷åñòâåííóþ èíòåðïðåòàöèþ ñèñòåìû ïåðåìåííûõ ... óäîáíî ïðåäñòàâèòü äèàãðàììîé, íà êîòîðîé ñòðåëêè èñïîëüçóþòñÿ äëÿ óêàçàíèÿ ïåðåìåííûõ, òðàêòóåìûõ êàê ôóíêöèè äðóãèõ ïåðåìåííûõ... . Íåàíàëèçèðóåìûå êîððåëÿöèè ìîæíî ïðåäñòàâèòü äâóíàïðàâëåííûìè ñòðåëêàìè äëÿ óêàçàíèÿ ñâÿçè ÷åðåç îáùèå ôàêòîðû (ðèñ. Ï.7.1). Óäîáíî èçìåðÿòü êàæäóþ ïåðåìåííóþ â òåðìèíàõ åå ñòàíäàðòíîãî îòêëîíåíèÿ. Ïîëàãàÿ
ìû ìîæåì çàïèñàòü íàèëó÷øåå ëèíåéíîå âûðàæåíèå äëÿ îòêëîíåíèé â òåðìèíàõ òåõ ïåðåìåííûõ, èç êîòîðûõ ñòðåëêè âûõîäÿò, è ïðåäñòàâèòü â âèäå

 

 

Êîýôôèöèåíòû ð02, ð03 è ò. ä. - àáñòðàêòíûå ÷èñëà, êîòîðûå ÿ íàçâàë ïóòåâûìè êîýôôèöèåíòàìè, ñâÿçàíû ñ êîýôôèöèåíòàìè ÷àñòíîé ðåãðåññèè, òî÷íî òàê æå, êàê êîýôôèöèåíò êîððåëÿöèè ñâÿçàí ñ îáùåé ðåãðåññèåé. Îíè îòëè÷àþòñÿ îò êîýôôèöèåíòîâ êîððåëÿöèè, îäíàêî, òåì, ÷òî èìåþò íàïðàâëåíèå ... . Äëÿ ëþáûõ äâóõ ïåðåìåííûõ òàêîé ñèñòåìû êîððåëÿöèÿ ìîæåò áûòü ïðåäñòàâëåíà â âèäå ñóììû âêëàäîâ â îäíó èç íèõ. Ïóñòü s îáîçíà÷àåò ôàêòîðû ïåðåìåííîé õ0, a t- ïåðåìåííîé x1. Òîãäà
Äàëüíåéøèé àíàëèç êîìïîíåíòîâ êîððåëÿöèè ïðèâîäèò ê ëåãêî çàïîìèíàåìîìó ïðèíöèïó: ëþáàÿ êîððåëÿöèÿ ìîæåò áûòü ïðåäñòàâëåíà â âèäå ñóììû âêëàäîâ âñåõ ïóòåé íà äèàãðàììå (ïðÿìûõ èëè ÷åðåç îáùèå ôàêòîðû), êîòîðûìè ñâÿçàíû äâå ïåðåìåííûå, à êàæäûé èç ýòèõ âêëàäîâ ïðåäñòàâëÿåò ñîáîé ïðîèçâåäåíèå êîýôôèöèåíòîâ, îòíîñÿùèõñÿ ê ýëåìåíòàðíûì ïóòÿì.  êàæäîì ñëó÷àå îäèí èç ýòèõ ýëåìåíòàðíûõ ïóòåé ìîæåò áûòü íåàíàëèçèðóåìûì äâóíàïðàâëåííûì ïóòåì, èçìåðÿåìûì êîýôôèöèåíòîì êîððåëÿöèè».
Äàëüíåéøåå ìîæíî ðàçúÿñíèòü íà ïðèìåðå (ðèñ. Ï.7.1). Ñïðàâåäëèâû ñëåäóþùèå ôîðìóëû (ýòè ôîðìóëû ïîëó÷àþòñÿ íà îñíîâå òåîðèè ÷àñòíûõ êîððåëÿöèé è ðåãðåññèé; ýëåìåíòàðíîå îáúÿñíåíèå ñì. â ðàáîòå
Ðèñ. Ï.7.1.

Ïðèëîæåíèå 7 229


Çäåñü pij- ïóòåâîé êîýôôèöèåíò îò ïåðåìåííîé Vj ê ïåðåìåííîé Vi, a rij — êîýôôèöèåíò êîððåëÿöèè ìåæäó Vi è Vj (i,j = 0, 2, 3, 4, 6, 7).
Ïðèìåíåíèå ê äàííûì ïî IQ ÷åëîâåêà. ×òîáû îáúÿñíèòü ñóòü ïîäõîäà ïóòåâûõ êîýôôèöèåíòîâ, Ðàéò èñïîëüçîâàë äàííûå, ñîáðàííûå Áóðêñîì (ðàçä. 8.2.1.3), î êîððåëÿöèÿõ ìåæäó ðîäèòåëÿìè è ïðèåìíûìè äåòüìè, ñ îäíîé ñòîðîíû, è áèîëîãè÷åñêèìè äåòüìè - ñ äðóãîé. Äâå ãðóïïû ðîäèòåëåé áûëè î÷åíü ñõîäíû. Ïîìèìî îïðåäåëåíèÿ çíà÷åíèé IQ äëÿ ðîäèòåëåé è äåòåé Áóðêå ïîñòðîèë äëÿ êàæäîé ñåìüè «êóëüòóðàëüíûé èíäåêñ», îöåíèâàþùèé, íàñêîëüêî áëàãîïðèÿòíà äëÿ ðàçâèòèÿ èíòåëëåêòà îáñòàíîâêà â ñåìüå. Çàòåì äëÿ îáåèõ ãðóïï ðîäèòåëåé Áóðêå âû÷èñëèë êîððåëÿöèè ìåæäó IQ äåòåé è êóëüòóðàëüíûì èíäåêñîì (rCE) è ìåæäó IQ äåòåé è ñðåäíèõ ðîäèòåëåé (rCP). Êðîìå òîãî, áûëà âû÷èñëåíà êîððåëÿöèÿ rEÐ ìåæäó IQ ñðåäíåãî ðîäèòåëÿ è ñðåäîé. Òåïåðü ìû ñíîâà ñëåäóåì àíàëèçó Ðàéòà, èñïîëüçóÿ ïðèíöèï ïóòåâûõ êîýôôèöèåíòîâ (ðèñ. Ï.7.2).
Ïðèåìíûå äåòè (â ýòèõ ôîðìóëàõ r âñåãäà îáîçíà÷àåò êîýôôèöèåíò êîððåëÿöèè, à p -ïóòåâîé êîýôôèöèåíò. Èíäåêñû èìåþò ñëåäóþùèé ñìûñë: P - IQ ñðåäíåãî ðîäèòåëÿ, C - IQ ðåáåíêà, Å- êóëüòóðàëüíûé èíäåêñ)
Ýòî òàê íàçûâàåìàÿ òåîðåìà ïîëíîé ïðè÷èííîé äåòåðìèíàöèè. Îíà ñëåäóåò èç òîãî ôàêòà, ÷òî êîððåëÿöèÿ ïåðåìåííîé ñ ñàìîé ñîáîé ðàâíà 1. Ñîáñòâåííûå äåòè

 

Ðèñ. Ï.7.2.
«Åñëè IQ âîñïèòûâàþùèõ ðîäèòåëåé ñâÿçàí ñ IQ äåòåé òîëüêî ÷åðåç êîððåëÿöèþ ñ äîìàøíåé ñðåäîé, òî êîððåëÿöèÿ ðîäèòåëü-ðåáåíîê äîëæíà áûòü ïðîèçâåäåíèåì äâóõ ïðîìåæóòî÷íûõ êîýôôèöèåíòîâ. Ñîîòâåòñòâóþùèé ïîäñ÷åò äàåò çíà÷åíèå êîððåëÿöèè ìåæäó ñðåäíèì ðîäèòåëåì è ñðåäîé ( + 0,79), î÷åíü áëèçêîå ê íàáëþäàåìîìó â êîíòðîëå ( + 0,86). Ýòî óêàçûâàåò íà îòñóòñòâèå èíîãî âëèÿíèÿ ðîäèòåëåé, êðîìå êàê ÷åðåç îáùóþ ñðåäó, èçìåðåííóþ ðåàëüíî (â áèîëîãè÷åñêèõ ñåìüÿõ). Òîëüêî 9% äåòåðìèíàöèè äèñïåðñèè îáóñëîâëåíû äîìàøíåé ñðåäîé ( = 0,292), ÷òî äàåò â êà÷åñòâå îñòàòêà 91% äåòåðìèíàöèè è ïóòåâîé êîýôôèöèåíò 0,96.  êàêîé ñòåïåíè ýòî îòíîñèòñÿ ëèøü ê íàñëåäñòâåííîñòè, à â êàêîé - ê íåèçìåðÿåìûì ñðåäîâûì ôàêòîðàì, ñóäèòü íåëüçÿ, íî, ïîñêîëüêó äîìàøíÿÿ ñðåäà, âåðîÿòíî, íàèáîëåå âàæíûé ñðåäîâûé ôàêòîð ..., ìîæíî ïðåäïîëîæèòü, ÷òî îñòàòî÷íàÿ ÷àñòü âûñîêî íàñëåäóåìà.  äðóãèõ ãðóïïàõ ñèòóàöèÿ ñëîæíåå. Ìû ìîæåì ñðàçó âûïèñàòü òðè óðàâíåíèÿ,

 


Ïðèëîæåíèå 7


ïðåäñòàâëÿþùèå ðàçëîæåíèå òðåõ èçâåñòíûõ êîððåëÿöèé (råð,, rñå è rñð). Åñëè ïðåäïîëîæèòü, ÷òî åäèíñòâåííûì ôàêòîðîì, âëèÿþùèì íà IQ äåòåé, ïîìèìî ñðåäû ÿâëÿåòñÿ íàñëåäñòâåííîñòü, òî ìû ñìîæåì âûïèñàòü ÷åòâåðòîå óðàâíåíèå, âûðàæàþùåå ïîëíóþ äåòåðìèíàöèþ. Íî â ýòîì ñëó÷àå íàäî îïðåäåëèòü ïÿòü êîýôôèöèåíòîâ. Ïî äàííûì êîíòðîëüíîé ãðóïïû ýòî ñäåëàòü íåâîçìîæíî. Îäíàêî ó íàñ åñòü äðóãîé èñòî÷íèê èíôîðìàöèè. Êîíòðîëüíàÿ ãðóïïà ðîäèòåëåé áûëà òùàòåëüíî îòîáðàíà äëÿ ñðàâíåíèÿ ñ âîñïèòûâàþùåé ãðóïïîé. Ïðåäïîëîæèòåëüíî äîìàøíÿÿ ñðåäà îáëàäàåò î÷åíü ïîõîæèìè ýôôåêòàìè â ýòèõ äâóõ ñëó÷àÿõ. Ìû äîëæíû ñóìåòü èçâëå÷ü ñðåäîâûå êîýôôèöèåíòû èç äàííûõ î âîñïèòûâàþùèõ ðîäèòåëÿõ».

Ïóòåâîé êîýôôèöèåíò ðÑÅ íåëüçÿ ïåðåíåñòè ïðÿìî, ïîòîìó ÷òî â êîíòðîëüíûõ äàííûõ íà íåãî âëèÿåò êîððåëÿöèÿ ìåæäó íàñëåäñòâåííîñòüþ è ñðåäîé. Îäíàêî «ìîæíî çàêëþ÷èòü, ÷òî îòíîøåíèå ðÑÅ : ðñí äîëæíî áûòü îäèíàêîâûì â ýòèõ äâóõ ñëó÷àÿõ, ÷òî äàåò ïÿòîå óðàâíåíèå». Ýòè óðàâíåíèÿ áûëè ðåøåíû, ðåçóëüòàòû ïðèâåäåíû íà ðèñ. Ï.7.2.

 îáùåì ñëó÷àå êîëè÷åñòâî óðàâíåíèé äîëæíî áûòü ïî êðàéíåé ìåðå ðàâíî ÷èñëó ïóòåé èëè êîýôôèöèåíòîâ êîððåëÿöèè, êîòîðûå íóæíî îïðåäåëèòü. Ìîæíî ìàòåìàòè÷åñêè ïîêàçàòü, ÷òî ïóòåâûå êîýôôèöèåíòû ýêâèâàëåíòíû ñòàíäàðòèçîâàííûì êîýô-


ôèöèåíòàì ðåãðåññèè, ò.å. êîýôôèöèåíòàì ðåãðåññèè, êîòîðûå îòíîñÿòñÿ ê ñòàíäàðòèçîâàííûì ïåðåìåííûì, à íå ê ïåðåìåííûì â èñõîäíûõ ôèçè÷åñêèõ åäèíèöàõ. Äåëî èññëåäîâàòåëÿ, ïðîâîäèòü ëè àíàëèç, èñïîëüçóÿ ìåòîäû ñòàíäàðòíîé ÷àñòíîé ðåãðåññèè èëè ÷àñòíîé êîððåëÿöèè, èëè æå âîñïîëüçîâàòüñÿ ïóòåâûìè êîýôôèöèåíòàìè. Ïðåèìóùåñòâî ïîñëåäíåãî ìåòîäà ñîñòîèò â òîì, ÷òî äèàãðàììà äàåò ïðÿìîé è óáåäèòåëüíûé ñïîñîá âèçóàëèçàöèè êîìïîíåíò, êîòîðûå âëèÿþò íà ïðèçíàê.

Ïîñëåäóþùåå ðàçâèòèå ìåòîäà.  ïîñëåäíèå ãîäû Ìîðòîí [803] óñîâåðøåíñòâîâàë ýòîò ïîäõîä, ââåäÿ ðÿä äîïîëíèòåëüíûõ êîððåëÿöèé. Íà ðèñ. Ï.7.3 ïîêàçàíà ïóòåâàÿ äèàãðàììà äëÿ êîððåëÿöèè ìåæäó ñèáñàìè. Çäåñü ïðåäïîëàãàåòñÿ, ÷òî ôåíîòèïû äâóõ äåòåé X è Ó ÿâëÿþòñÿ «ðåçóëüòàòîì äåéñòâèÿ ÷åòûðåõ àääèòèâíûõ ôàêòîðîâ: îáùåé ñðåäû (Ñ), ñëó÷àéíîé ñðåäû (E), ãåíîòèïà ñðåäíåãî ðîäèòåëÿ (G) è ñåãðåãàöèè ãåíîòèïà ñðåäíåãî ðîäèòåëÿ (S). Ãåíîòèï ñðåäíåãî ðîäèòåëÿ è îáùàÿ ñðåäà êîððåëèðóþò (r), à îáùàÿ ñðåäà (ïî÷òè) ëèíåéíî èçìåðÿåòñÿ èíäåêñîì (I), îñíîâàííûì íà òàêèõ ïåðåìåííûõ, êàê îáùåñòâåííî-ýêîíîìè÷åñêîå ïîëîæåíèå, äîõîä, îáðàçîâàíèå ðîäèòåëåé, ñîñåäñòâî, øêîëüíûé ðàéîí, êóëüòóðíûé óðîâåíü ðîäèòåëåé, ïñèõîëîãè÷åñêàÿ îáñòàíîâêà â ñåìüå».

Èñïîëüçóÿ ìåòîä ïóòåâûõ êîýôôèöèåí-


 

Ðèñ. Ï.7.3. Ïóòåâàÿ äèàãðàììà äëÿ êîððåëÿöèè ìåæäó ñèáñàìè [803].

Ïðèëîæåíèå 7 231


tob, Ìîðòîí è êîëëåãè ïûòàëèñü îòâåòèòü íà âîïðîñ, ÿâëÿþòñÿ ëè ðàçëè÷èÿ â ñðåäíèõ óðîâíÿõ IQ ó ÷åðíûõ è áåëûõ àìåðèêàíöåâ ñëåäñòâèåì ãåíåòè÷åñêèõ ïðè÷èí èëè îíè - ðåçóëüòàò äåéñòâèÿ ñîöèàëüíûõ ôàêòîðîâ. Àâòîðû ïðèøëè ê âûâîäó, ÷òî îñíîâíóþ ðîëü â ñíèæåíèè IQ èãðàþò èìåííî ñîöèàëüíûå ôàêòîðû (V Ìåæäóíàðîäíûé êîíãðåññ ïî ãåíåòèêå ÷åëîâåêà, 1976).

Âåðîÿòíî, òàêîé âûâîä, â èçâåñòíîé ñòåïåíè ñïðàâåäëèâ, íî ìåòîäîëîãè÷åñêàÿ îñíîâà, íà êîòîðîé îí áàçèðóåòñÿ, áûëà ïîäâåðãíóòà ñóðîâîé êðèòèêå (Ãîëäáåðãåð [683], Òåéëîð [2214]). Ñåðüåçíûì íåäîñòàòêîì ìåòîäà ïóòåâûõ êîýôôèöèåíòîâ, ïî èõ ìíåíèþ, ÿâëÿåòñÿ òî, ÷òî îí íå îáåñïå÷èâàåò êîëè÷åñòâî óðàâíåíèé, äîñòàòî÷íîå äëÿ îöåíêè íåîáõîäèìûõ ïàðàìåòðîâ, ïîýòîìó íåêîòîðûå èç íèõ ïî ïðåäïîëîæåíèþ äîëæíû áûòü ðàâíû 0. Âåñüìà ñîìíèòåëü-


íûì ïðåäñòàâëÿåòñÿ è îïåðèðîâàíèå ïðåäïîëàãàåìûìè ôàêòîðàìè. Îáùåñòâåííîýêîíîìè÷åñêîå ïîëîæåíèå è îáðàçîâàíèå, íàïðèìåð, êîòîðûå ó÷èòûâàþòñÿ ïðè îöåíêå âëèÿíèÿ «îáùåé ñðåäû», ìîãóò èìåòü ãåíîòèïè÷åñêèå êîìïîíåíòû. Ìû òàêæå íå óâåðåíû â òîì, ÷òî ýòîò ìåòîä áèîìåòðè÷åñêîãî àíàëèçà âíåñåò ñóùåñòâåííûé âêëàä â íàøå ïîíèìàíèå âëèÿíèÿ ãåíåòè÷åñêèõ ôàêòîðîâ.

Ñàì Ðàéò «íèêîãäà íå âûñòóïàë ñ íåëåïîé ïðåòåíçèåé, ÷òî òåîðèÿ ïóòåâûõ êîýôôèöèåíòîâ äàåò îáùóþ ôîðìóëó äëÿ âûâîäà ïðè÷èííûõ îòíîøåíèé». Íàîáîðîò, àïðèîðíîå çíàíèå ïðè÷èííûõ îòíîøåíèé ÿâëÿåòñÿ ïðåäâàðèòåëüíûì òðåáîâàíèåì äëÿ ïðèìåíåíèÿ ýòîãî ìåòîäà, è ðåçóëüòàòû, ïîëó÷åííûå ñ åãî èñïîëüçîâàíèåì, çàâèñÿò îò êîððåêòíîñòè ïðåäïîëàãàåìûõ ïðè÷èííûõ îòíîøåíèé.


Ïðèëîæåíèå 8

Ìåäèêî-ãåíåòè÷åñêîå êîíñóëüòèðîâàíèå: èñïîëüçîâàíèå óñëîâíûõ âåðîÿòíîñòåé


Ïðîáëåìà îöåíêè ãåíåòè÷åñêîãî ðèñêà. Êàê îòìå÷àëîñü â ðàçä. 9.2.1, ïîëó÷åíèå îöåíêè ãåíåòè÷åñêîãî ðèñêà îñíîâûâàåòñÿ ëèáî íà ñåãðåãàöèîííûõ îòíîøåíèÿõ â ñëó÷àå ìåíäåëèðóþùèõ çàáîëåâàíèé, ëèáî íà öèôðàõ ýìïèðè÷åñêîãî ðèñêà, åñëè òèï íàñëåäîâàíèÿ ñëîæåí. Ïðè îòñóòñòâèè äîïîëíèòåëüíîé èíôîðìàöèè òàêèå öèôðû ïðÿìî èñïîëüçóþòñÿ äëÿ ðàñ÷åòà êîíêðåòíîãî ðèñêà äëÿ îïðåäåëåííîãî ïðîáàíäà èëè ñåìüè. Íàïðèìåð, êàæäûé áóäóùèé ðåáåíîê ïîðàæåííîãî ÷ëåíà áîëüøîé ðîäîñëîâíîé, ñîáðàííîé Ôàðàáè (ðàçä. 3.2.1, ðèñ. 3.2), áóäåò îáëàäàòü 50%-íûì ðèñêîì èìåòü áðàõèäàêòèëèþ. Îäíàêî ñóùåñòâóåò íåìàëî ñèòóàöèé, â êîòîðûõ äëÿ ïîëó÷åíèÿ îöåíêè ðèñêà ìîæåò îêàçàòüñÿ ïîëåçíîé äîïîëíèòåëüíàÿ èíôîðìàöèÿ.

Ïðèìåð: íàñëåäñòâåííàÿ è ñïîðàäè÷åñêàÿ ðåòèíîáëàñòîìà. Êàê îòìå÷àëîñü â ðàçä. 5.1.6, ðåòèíîáëàñòîìà, âðîæäåííàÿ ãëàçíàÿ îïóõîëü ó ìàëåíüêèõ äåòåé, ïðîÿâëÿåòñÿ ëèáî êàê äîìèíàíòíîå çàáîëåâàíèå ïðèìåðíî ñ 90%-íîé ïåíåòðàíòíîñòüþ, ëèáî êàê ñïîðàäè÷åñêèé ñëó÷àé, âåðîÿòíî, âñëåäñòâèå ñîìàòè÷åñêîé ìóòàöèè.  ïîñëåäíåì ñëó÷àå îáà ðîäèòåëÿ (è âñå äðóãèå ÷ëåíû ñåìüè) íå ïîðàæåíû, è ãåíåòè÷åñêèé ðèñê äëÿ ðåáåíêà íå âûøå, ÷åì ÷àñòîòà â îáùåé ïîïóëÿöèè, ò. å. îêîëî 1:15 000 -1:25 000. Êðîìå òîãî, ñîìàòè÷åñêàÿ ìóòàöèÿ âñåãäà ïðèâîäèò ê îäíîñòîðîííåé ðåòèíîáëàñòîìå. Îäíàêî ñðåäè âñåõ ñïîðàäè÷åñêèõ ñëó÷àåâ ïðèìåðíî 10% âûçûâàþòñÿ ìóòàöèåé, âîçíèêøåé â ãàìåòàõ îäíîãî èç ðîäèòåëåé.  òàêèõ ñëó÷àÿõ ðîäèòåëè è äðóãèå ÷ëåíû ñåìüè òàêæå íå ïîðàæåíû, íî äëÿ êàæäîãî ðåáåíêà ïðîáàíäà ñî ñïîðàäè÷åñêîé îäíîñòîðîííåé ðåòèíîáëàñòîìîé ðèñê èìåòü îïóõîëü ñîñòàâëÿåò óæå îêîëî 45% (90%íàÿ ïåíåòðàíòíîñòü ïðè 50%-íîì ñåãðåãàöèîííîì îòíîøåíèè). Ðàññìîòðèì ñëåäóþ-


 

ùóþ ñèòóàöèþ: áîëüíîé ñî ñïîðàäè÷åñêèì îäíîñòîðîííèì ïîðàæåíèåì ñïðàøèâàåò î ãåíåòè÷åñêîì ðèñêå äëÿ ñâîèõ äåòåé. Åñëè íåò äðóãîé èíôîðìàöèè, òî ðèñê ñîñòàâëÿåò 0,9 χ 0% (äëÿ ñïîðàäè÷åñêèõ ñîìàòè÷åñêèõ ñëó÷àåâ) + 0,1 x 45% (äëÿ ñïîðàäè÷åñêèõ ãàìåòè÷åñêèõ ñëó÷àåâ) = 4,5%. Îäíàêî ñèòóàöèÿ ñòàíîâèòñÿ ñëîæíåå, åñëè ïðîáàíä óæå èìååò ïî êðàéíåé ìåðå îäíîãî çäîðîâîãî ðåáåíêà. Åñëè áû åãî áîëåçíü áûëà âûçâàíà äîìèíàíòíîé ìóòàöèåé, òî êàæäûé èç åãî äåòåé èìåë áû 45%-íûé ðèñê áûòü ïîðàæåííûì. Íàëè÷èå ïî êðàéíåé ìåðå îäíîãî çäîðîâîãî ðåáåíêà óâåëè÷èâàåò âåðîÿòíîñòü, ÷òî ó ïðîáàíäà íà ñàìîì äåëå èìååòñÿ íåíàñëåäñòâåííàÿ ôîðìà áîëåçíè, à ýòî ñíèæàåò ðèñê äëÿ åãî áóäóùèõ äåòåé. Êàê âû÷èñëèòü ýòîò ðèñê? Âåðîÿòíîñòü èìåòü íàñëåäñòâåííóþ ôîðìó áîëåçíè [2393]. Êàê óæå îòìå÷àëîñü, àïðèîðíàÿ âåðîÿòíîñòü òîãî, ÷òî íàø ïðîáàíä èìååò íàñëåäñòâåííóþ ôîðìó, ðàâíà Ð(Í) = 0,1. Åñëè îí èìååò íàñëåäñòâåííóþ ôîðìó, òî óñëîâíàÿ âåðîÿòíîñòü, ÷òî åãî ïåðâûé ðåáåíîê îêàæåòñÿ íåïîðàæåííûì (ñîáûòèå U), ò.å. âåðîÿòíîñòü, ÷òî îí íå ïîðàæåí, íåñìîòðÿ íà òîò ôàêò, ÷òî ïðîáàíä íåñåò ýòîò ãåí, ðàâíà P(U/H) — 0,55. Ñ äðóãîé ñòîðîíû, àïðèîðíàÿ âåðîÿòíîñòü òîãî, ÷òî ïðîáàíä èìååò íåíàñëåäñòâåííóþ ôîðìó, ðàâíà Ρ (íå Í) = 0,9.  ýòîì ñëó÷àå óñëîâíàÿ âåðîÿòíîñòü òîãî, ÷òî åãî ðåáåíîê îêàæåòñÿ íåïîðàæåííûì, áóäåò P(U/íå Í) = 1, ïîòîìó ÷òî ðèñêà (ïî÷òè) íåò. Îòñþäà ìîæíî ïîëó÷èòü ôîðìóëó äëÿ åãî àïîñòåðèîðíîé âåðîÿòíîñòè èìåòü íàñëåäñòâåííóþ ôîðìó

 

Ïðèëîæåíèå 8 233

 

Ðèñ. Ï. 8.1. Ãðàôè÷åñêîå ïðåäñòàâëåíèå ïðîöåäóðû ðàñ÷åòà ðèñêà äëÿ äåòåé, ðîäèòåëè êîòîðûõ ñòðàäàþò îäíîñòîðîííåé ðåòèíîáëàñòîìîé. À Ñâåòëî-ñåðàÿ îáëàñòü ïðåäñòàâëÿåò ðîäèòåëåé ñ íàñëåäñòâåííîé ðåòèíîáëàñòîìîé (ïðèìåðíî 10% âñåõ îäíîñòîðîííèõ ñïîðàäè÷åñêèõ ñëó÷àåâ). Á. Ïîñëå ðîæäåíèÿ ïåðâîãî ðåáåíêà 45% ýòèõ ðîäèòåëåé (= 4,5% âñåõ ðîäèòåëåé) îêàçûâàþòñÿ íîñèòåëÿìè íàñëåäñòâåííîé ôîðìû. Òîëüêî 5,5/95,5% îñòàòêà (÷òî ñîîòâåòñòâóåò íîðìàëüíîìó ïåðâîìó ðåáåíêó) áóäóò íîñèòåëÿìè ãåíîâ íàñëåäñòâåííîé ôîðìû.

 

Ïîäñòàíîâêà çíà÷åíèé èç íàøåãî ïðèìåðà äàåò
Ñëåäîâàòåëüíî, îäèí íåïîðàæåííûé ðåáåíîê ñíèçèë íàøåìó ïðîáàíäó âåðîÿòíîñòü èìåòü íàñëåäñòâåííóþ ôîðìó ñ 0,1 äî 0,058. Ðèñê áûòü ïîðàæåííûì äëÿ åãî ñëåäóþùåãî ðåáåíêà ðàâåí òåïåðü
R2 = 0,058 x 0,45 = 0,0261
èëè ñíèçèëñÿ ñ 4 äî 2,6%. Ïðè äâóõ íåïîðàæåííûõ äåòÿõ óñëîâíàÿ âåðîÿòíîñòü P(U/H) ñòàíîâèòñÿ 0,552 = 0,3025. Ïîäñòàíîâêà â óðàâíåíèå Ï.8.1 ïðèâîäèò ê Ð(Í/U) =

= 0,0325, R2 = 0,015. Äëÿ n äåòåé P(U/H) ñòàíîâèòñÿ ðàâíîé 0,55n. Ñóòü ýòîãî ïðèíöèïà ëåãêî óëîâèòü èç ðèñ. Ï.8.1.

Óäîáíàÿ ñèñòåìà îáîçíà÷åíèé è ôîðìà ãðàôè÷åñêîãî ïðåäñòàâëåíèÿ. Ìåðôè [149] ïðåäëîæèë ÿñíóþ è óäîáíóþ ñèñòåìó çàïèñè, êîòîðàÿ äåëàåò îïèñàííîå âûøå âû÷èñëåíèå áîëåå î÷åâèäíûì, îñîáåííî äëÿ ìåäèêîâ-ïðîôåññèîíàëîâ, êîòîðûå, êàê ïðàâèëî, èñïûòûâàþò òðóäíîñòè ïðè îïåðèðîâàíèè àáñòðàêòíûìè ìàòåìàòè÷åñêèìè ïîíÿòèÿìè. Êîíñòðóèðóåòñÿ òàáëèöà, â êîòîðîé âèçóàëèçóåòñÿ ïîøàãîâîå âû÷èñëåíèå.  òàáë. Ï.8.1 ïðèâåäåíî îïèñàííîå âûøå âû÷èñëåíèå äëÿ ðåòèíîáëàñòîìû. Èñõîäÿ èç àïîñòåðèîðíîé âåðîÿòíîñòè äëÿ íàøåãî ïðîáàíäà èìåòü íàñëåäñòâåííóþ ôîðìó


 

Òàáëèöà Ï.8.1. Âû÷èñëåíèå âåðîÿòíîñòè äëÿ ðåòèíîáëàñòîìû    
  Ó êîíñóëüòèðóåìîãî
Âåðîÿòíîñòü íàñëåäñòâåííûé   íåíàñëåäñòâåííûé
    ñëó÷àè  
à) àïðèîðíàÿ (ïðèíàäëåæíîñòü êîíñóëüòèðóåìîãî êàêîé-ëèáî ãðóïïå) 0,1   0,9
á) óñëîâíàÿ (ïåðâûé ðåáåíîê îêàæåòñÿ íåïîðàæåííûì, åñëè áîëüíîé ïðèíàäëåæèò çàäàííîé ãðóïïå) 0,55   1,0
â) ñîâìåñòíàÿ (íàñòóïëåíèå ñîáûòèé a è á) 0,1 x 0,55 = 0,055   0,9 x 1,0 = 0,9
ã) àïîñòåðèîðíàÿ (êîíñóëüòèðóåìûé èìååò íîðìàëüíîãî ðåáåíêà è íàñëåäñòâåííóþ èëè íåíàñëåäñòâåííóþ ôîðìó)

Ïðèëîæåíèå 8


(0,58), âåðîÿòíîñòü òîãî, ÷òî ïåðâûé ðåáåíîê áóäåò ïîðàæåí, ìîæíî âû÷èñëèòü òàê, êàê áûëî ïîêàçàíî â ïðåäûäóùåì ïóíêòå:

0,58 x 0,45 = 0,0261 èëè 2-3%.

Ïðèíöèï âû÷èñëåíèÿ ìîæíî ïðåäñòàâèòü òàêæå ãðàôè÷åñêè (ðèñ. Ï.8.1).  èçîáðàæåííîì íà ðèñóíêå êâàäðàòå íåîêðàøåííàÿ îáëàñòü ïðåäñòàâëÿåò ãðóïïó íåíàñëåäñòâåííûõ ñëó÷àåâ, à ñëàáî îêðàøåííàÿ îáëàñòü - íàñëåäñòâåííûå ñëó÷àè. Ïîñëå òîãî êàê ïåðâûé ðåáåíîê ïåðåæèë îïàñíûé ïåðèîä (ïåðâûå íåñêîëüêî ëåò æèçíè), ðîäèòåëè ïîðàæåííîãî ðåáåíêà (à èìåííî 45% íàñëåäñòâåííûõ ñëó÷àåâ, ðèñ. Ï.8.1, òåìíàÿ îáëàñòü) èñêëþ÷àþòñÿ èç ãðóïïû áîëüíûõ ñïîðàäè÷åñêîé îäíîñòîðîííåé ðåòèíîáëàñòîìîé. Ýòè 45% ÷åòêî óñòàíîâëåíû êàê íàñëåäñòâåííûå ñ ñîîòâåòñòâóþùèì 45%-íûì ðèñêîì äëÿ ïîñëåäóþùèõ äåòåé. Ðèñê äëÿ ïðîáàíäîâ ñî çäîðîâûìè äåòüìè ñëåäóåò âû÷èñëÿòü íà îñíîâå îáùåé îáëàñòè, çà èñêëþ÷åíèåì òåìíîé ÷àñòè. Òåïåðü íàñëåäñòâåííûå ñëó÷àè ïðåäñòàâëåíû íå áîëåå ÷åì 10/100 êâàäðàòîâ (5,5/95,5).

Ïðèìåð: õîðåÿ Ãåíòèíãòîíà. Çäîðîâûé ìóæ÷èíà â âîçðàñòå 35 ëåò îáðàòèëñÿ â ìåäèêî-ãåíåòè÷åñêóþ êîíñóëüòàöèþ. Åãî îòåö è áàáêà ñòðàäàþò õîðååé Ãåíòèíãòîíà. Îí èíòåðåñóåòñÿ ðèñêîì çàáîëåòü äëÿ ñåáÿ è ñâîèõ áóäóùèõ äåòåé. Õîðåÿ Ãåíòèíãòîíà - ýòî àóòîñîìíî-äîìèíàíòíîå çàáîëåâàíèå ñ ïîëíîé ïåíåòðàíòíîñòüþ. Âîçðàñò íà÷àëà âàðüèðóåò îò 20 äî 70 ëåò (ðàçä.


 

3.1.2, ðèñ. 3.4). Åñëè áû ó ïðîáàíäà áûëè îáíàðóæåíû ïðèçíàêè áîëåçíè, òî ïðîáëåìà áûëà áû ïðîñòîé: êàæäûé èç åãî äåòåé èìåë áû 50%-íûé ðèñê. Åñëè íà ñàìîì äåëå îí åùå íå äîñòèã âîçðàñòà ìàíèôåñòàöèè, òî ïðîáëåìà òàêæå áûëà áû ïðîñòîé: îí èìåë áû 50%-íûé ðèñê, à åãî äåòè -50% îò 50%, ò. å. 25%-íûé. Îäíàêî ðåàëüíî îí óæå ïðîæèë ÷àñòü ïåðèîäà ìàíèôåñòàöèè è îñòàëñÿ çäîðîâûì. Ýòîò ôàêò óâåëè÷èâàåò åãî øàíñ áûòü ãîìîçèãîòîé ïî íîðìàëüíîìó àëëåëþ è îñòàâàòüñÿ íåïîðàæåííûì. Êàê ýòà ñèòóàöèÿ âëèÿåò íà ðèñê äëÿ åãî äåòåé?  âîçðàñòå 35 ëåò ïðèìåðíî 30% âñåõ ãåòåðîçèãîò óæå îáíàðóæèëè êëèíè÷åñêèå ïðèçíàêè áîëåçíè. Ýòî âåäåò ê ñëåäóþùèì ðàñ÷åòàì:
Âåðîÿòíîñòü Êîíñóëüòèðóåìûé
  ãåòåðîçèãîòà íîðìàëüíàÿ ãîìîçèãîòà
Àïðèîðíàÿ Óñëîâíàÿ Ñîâìåñòíàÿ Àïîñòåðèîðíàÿ
Ðèñê äëÿ ðåáåíêà 0,412 χ 0,5 = 0,206
Ñëåäîâàòåëüíî, ðèñê äëÿ ðåáåíêà ñíèçèòñÿ ñ 0,25 äî 0,206.

 


 

Áàðáàðà ÿâëÿåòñÿ íîñèòåëåì : 0,5
Ðèñê äëÿ ñûíà: 0,5 X 0,5 = 0,25
Ðèñ. Ï.8.2. Ðèñ. Ï.8.3. Ðèñ. Ï.8.4.

Ïðèëîæåíèå 8 235


 

 

 

Òàêèå ðàñ÷åòû ìîæíî ïðîâåñòè äëÿ ìíîãèõ äðóãèõ êîíêðåòíûõ ñèòóàöèé ïðè àóòîñîìíî-äîìèíàíòíûõ è ðåöåññèâíûõ çàáîëåâàíèÿõ (äåòàëüíîå îáñóæäåíèå ñì. â [71]). Ãåòåðîçèãîòû ïî Õ-ñöåïëåííûì ðåöåññèâíûì çàáîëåâàíèÿì. Ýòîò òèï âû÷èñëåíèé íàèáîëåå âàæåí ïðè êîíñóëüòèðîâàíèè æåíøèí, äëÿ êîòîðûõ ñóùåñòâóåò ðèñê îêàçàòüñÿ ãåòåðîçèãîòàìè ïî Õ-õðîìîñîìíîìó ðåöåññèâíîìó ïðèçíàêó è èìåòü ïîðàæåííûõ ñûíîâåé. Îáðàòèìñÿ ê ðîäîñëîâíîé íà ðèñ. Ï.8.2.  ñóùíîñòè Àëüìà îïðåäåëåííî ÿâëÿåòñÿ ãåòåðîçèãîòîé, ïîýòîìó åå äî÷ü Áàðáàðà èìååò àïðèîðíóþ âåðîÿòíîñòü 50% òàêæå áûòü ãåòåðîçèãîòîé. Ýòî îçíà÷àåò 0,5 x 0,5 = 0,25 -ðèñê äëÿ ëþáîãî åå ñûíà ïðîÿâèòü ïðèçíàê. Åñëè íåò äðóãîé èíôîðìàöèè, òî ïðèâåäåííûå âûøå çíà÷åíèÿ ôîðìèðóþò îñíîâó äëÿ êîíñóëüòèðîâàíèÿ.  ðîäîñëîâíîé íà ðèñ. Ï.8.3 ñèòóàöèÿ èíàÿ.  ýòîì ñëó÷àå ó Áàðáàðû óæå èìååòñÿ íîðìàëüíûé ñûí. Óñëîâíàÿ âåðîÿòíîñòü èìåòü íîðìàëüíîãî ñûíà äëÿ ãåòåðîçèãîòíîé Áàðáàðû ðàâíà 0,5. Âüèèñëåíèÿ âûïîëíÿþòñÿ ñëåäóþùèì îáðàçîì:
Âåðîÿòíîñòü Áàðáàðà
  íîñèòåëü íåíîñèòåëü
Àïðèîðíàÿ
Óñëîâíàÿ
Ñîâìåñòíàÿ
Àïîñòåðèîðíàÿ
Ðèñê, ÷òî ñûí áóäåò ïîðàæåí 0,333 χ 0,5 = 0,167
Âû÷èñëåíèå ïðîèçâîäèòñÿ òî÷íî òàê æå, åñëè ðîäîñëîâíàÿ ñëîæíåå, ò.å. åñëè ó Áàðáàðû åñòü äî÷ü è îíà çàõîòåëà óçíàòü ðèñê äëÿ ñâîèõ ñûíîâåé è ò.ä.  ýòîì ñëó÷àå àïîñòåðèîðíóþ âåðîÿòíîñòü Áàðáàðû íóæíî èñïîëüçîâàòü äëÿ ïîëó÷åíèÿ àïðèîðíîé âåðîÿòíîñòè åå äî÷åðè. Ðÿä êîíêðåòíûõ ïðèìåðîâ ìîæíî íàéòè â [71]. Ñèòóàöèÿ îêàçûâàåòñÿ ñóùåñòâåííî èíîé, êîãäà ñëó÷àé áîëåçíè ðàññìàòðèâàåòñÿ êàê ñïîðàäè÷åñêèé (ðèñ. Ï. 8. 4). Áîëüíîé ìîæåò áûòü ëèáî íîñèòåëåì íîâîé ìóòà-

 

 

 

 

 

öèè, êîãäà åãî ìàòü -íîðìàëüíàÿ ãîìîçèãîòà, è ðèñê äëÿ ñûíîâåé åå ñåñòåð íå óâåëè÷èâàåòñÿ, ëèáî ìàòü ãåòåðîçèãîòíà è åå ñåñòðû òàêæå èìåþò àïðèîðíóþ âåðîÿòíîñòü 0,5 áûòü ãåòåðîçèãîòàìè. Êàê óïîìèíàëîñü â ðàçä. 5.1.3.4, äîëÿ íîâûõ ìóòàíòîâ ñðåäè íîñèòåëåé (ðåäêîãî) Õ-ñöåïëåííîãî ðåöåññèâíîãî ïðèçíàêà ðàâíà
(f — îòíîñèòåëüíàÿ ïëîäîâèòîñòü íîñèòåëåé ïðèçíàêà ïî ñðàâíåíèþ ñ îáùåé ïîïóëÿöèåé, μ - óðîâåíü ìóòàöèé â æåíñêèõ êëåòêàõ, ν - óðîâåíü ìóòàöèé â ìóæñêèõ ãàìåòàõ). Êîãäà óðîâíè ìóòàöèé ðàâíû ó äâóõ ïîëîâ è f = 0, òî m = 1/3. Ýòî îçíà÷àåò, ÷òî ìàòü èìååò àïðèîðíóþ âåðîÿòíîñòü 2/3 áûòü ãåòåðîçèãîòîé. Ýòî âåäåò ê ñëåäóþùåìó ðàñ÷åòó ðèñêà äëÿ ñûíà Áàðáàðû:
Âåðîÿòíîñòü Áàðáàðà
  íîñèòåëü íåíîñèòåëü
Àïðèîðíàÿ
Óñëîâíàÿ
Ñîâìåñòíàÿ
Àïîñòåðèîðíàÿ
Ðèñê, ÷òî ñûí áóäåò ïîðàæåí 1/5 x 1/2 = 1/10
Òàêîå ïðîñòîå âû÷èñëåíèå ñïðàâåäëèâî òîëüêî, åñëè âûïîëíÿþòñÿ óïîìÿíóòûå âûøå äâà óñëîâèÿ (μ = ν, f = 0) è ñóùåñòâóåò ãåíåòè÷åñêîå ðàâíîâåñèå ìåæäó ìóòàöèîííûì ïðîöåññîì è îòáîðîì. Òàê áûâàåò ïðè ìûøå÷íîé äèñòðîôèè Äþøåííà - íàèáîëåå ðàñïðîñòðàíåííîé Õ-ñöåïëåííîé ðåöåññèâíîé áîëåçíè âî ìíîãèõ ïîïóëÿöèÿõ. Äëÿ äðóãèõ çàáîëåâàíèé, òàêèõ, êàê ãåìîôèëèÿ À è íåäîñòàòî÷íîñòü ãèïîêñàíòèíôîñôîðèáîçèë-òðàíñôåðàçû, ÷àñòîòû ìóòàöèé îêàçûâàþòñÿ íàìíîãî âûøå â ìóæñêèõ ãàìåòàõ, ÷åì â æåíñêèõ (ðàçä. 5.1.3.4). Çäåñü äîëþ ò íóæíî âû÷èñëÿòü íà îñíîâå ýìïèðè÷åñêèõ äàííûõ. Ïðèåìëåìîé àïïðîêñèìàöèåé áóäåò ν = 10 x μ, ïîñêîëüêó óðîâåíü ìóòàöèé â ìóæñêèõ ãàìåòàõ ïðèìåðíî â 10 ðàç âûøå, ÷åì â æåíñêèõ. Ïðè îòñóòñò-

Ïðèëîæåíèå 8


 

 

 

 

 

 

 

âèè êàêèõ-ëèáî îïðåäåëåííûõ äàííûõ ìîæíî ïðèíÿòü àïðèîðíóþ âåðîÿòíîñòü 1 äëÿ Àëüìû è 1/2 äëÿ Áàðáàðû (ðèñ. Ï.8.4), ÷òî íåìíîãî çàâûøàåò ðèñê. Íèæå ìû ïðèâåäåì áîëåå ñëîæíûé ïðèìåð, äðóãèå àíàëîãè÷íûå ìîæíî íàéòè â [149; 71; 205]. Ðîäîñëîâíàÿ èçîáðàæåíà íà ðèñ. Ï. 8. 5. Ó Áàðáàðû äâà áðàòà: îäèí ïîðàæåí, à äðóãîé - íåò. Êðîìå òîãî, ó íåå èìååòñÿ ñåñòðà Áåòòèíà, ó êîòîðîé äâîå çäîðîâûõ ñûíîâåé. Áåòòèíà ÿâëÿåòñÿ ëèáî íîðìàëüíîé ãîìîçèãîòîé (1/2, åñëè Àëüìà ãåòåðîçèãîòíà), è â ýòîì ñëó÷àå ñëåäóåò îæèäàòü íîðìàëüíûõ ñûíîâåé, ëèáî îíà ãåòåðîçèãîòíà, è â ýòîì ñëó÷àå óñëîâíàÿ âåðîÿòíîñòü èìåòü äâóõ íîðìàëüíûõ äåòåé ñîñòàâëÿåò 1/4. Ýòà îöåíêà (1/2 + 1/4 χ χ 1/2 = 5/8) âêëþ÷àåòñÿ â âû÷èñëåíèå óñëîâíîé âåðîÿòíîñòè äëÿ Àëüìû, ïðè÷åì ó÷èòûâàåòñÿ òàêæå åå óñëîâíàÿ âåðîÿòíîñòü èìåòü íåïîðàæåííîãî ñûíà, åñëè îíà ãåòåðîçèãîòíà. Âû÷èñëåíèå ïðîâîäèòñÿ ñëåäóþùèì îáðàçîì (ñíîâà μ = ν, f = 0):
Âåðîÿòíîñòü Àëüìà
  íîñèòåëü íåíîñèòåëü
Àïðèîðíàÿ
Óñëîâíàÿ
Ñîâìåñòíàÿ
Àïîñòåðèîðíàÿ
     
Âåðîÿòíîñòü Áàðáàðà
  íîñèòåëü íåíîñèòåëü
Àïðèîðíàÿ
Óñëîâíàÿ
Ñîâìåñòíàÿ
Àïîñòåðèîðíàÿ
Ðèñê äëÿ ñûíà Áàðáàðû 5/47 x 1/2 = 5/94.
Âñå ïðèâåäåííûå ðàñ÷åòû ðèñêîâ (áûòü íîñèòåëåì) îñíîâûâàëèñü òîëüêî íà èíôîðìàöèè î ðîäîñëîâíîé. Íà ïðàêòèêå äëÿ óòî÷íåíèÿ ðèñêà ñëåäóåò èñïîëüçîâàòü äîïîëíèòåëüíûå äàííûå, êîòîðûå ìîæíî ïîëó÷èòü èç áèîõèìè÷åñêèõ è ìîëåêóëÿðíûõ èññëåäîâàíèé. Ïðè ìûøå÷íîé äèñòðîôèè Äþøåííà èíîãäà ïîâûøàåòñÿ óðîâåíü êðåà-

 

Ðèñ. Ï.8.5.
òèíêèíàçû ó ãåòåðîçèãîò, íî îäíîçíà÷íî äèôôåðåíöèðîâàòü ãåòåðîçèãîò è íîðìàëüíûõ ãîìîçèãîò íà îñíîâå ñîîòâåòñòâóþùèõ çíà÷åíèé íåâîçìîæíî (îáñóæäåíèå òåñòîâ íà ãåòåðîçèãîòíîñòü ïðè ýòîì çàáîëåâàíèè ìîæíî íàéòè â ðàçä. 4.2.2.8). Ïîäîáíûé ïîäõîä ïðèìåíÿåòñÿ ïðè äèàãíîñòèêå íîñèòåëüñòâà ïî ãåìîôèëèè.  ýòîì ñëó÷àå èñïîëüçóþòñÿ èììóíîëîãè÷åñêèé òåñò è àíàëèç íà ïðèñóòñòâèå ôàêòîðà ñâåðòûâàíèÿ êðîâè VIII.  èäåàëå â êàæäîì ðåãèîíå äîëæíà ñóùåñòâîâàòü îäíà ëàáîðàòîðèÿ, êîòîðàÿ çàíèìàåòñÿ ïðîâåäåíèåì àíàëèçîâ, íàïðàâëåííûõ íà âûÿâëåíèå íîñèòåëåé. Âàæíî ïîìíèòü, îäíàêî, ÷òî ýòà èíôîðìàöèÿ ñàìà ïî ñåáå íåäîñòàòî÷íà äëÿ ãåíåòè÷åñêîãî êîíñóëüòèðîâàíèÿ, ïîñêîëüêó îêîí÷àòåëüíûé ðèñê ñóùåñòâåííî çàâèñèò îò êîíêðåòíîé ðîäîñëîâíîé. Íåîáõîäèìû îáà ýòàïà ýòîé ïðîöåäóðû, ÷òî íåðåäêî óïóñêàåòñÿ èç âèäó òåìè, êòî äëÿ ãåíåòè÷åñêîãî êîíñóëüòèðîâàíèÿ èñïîëüçóåò òîëüêî ëàáîðàòîðíóþ èíôîðìàöèþ. Îäíî è òî æå îòêëîíåíèå îò íîðìû, âûÿâëåííîå ïðè ëàáîðàòîðíîé äèàãíîñòèêå, ìîæíî òðàêòîâàòü ïîðàçíîìó â çàâèñèìîñòè îò âåðîÿòíîñòè íîñèòåëüñòâà, óñòàíîâëåííîé ïî ðîäîñëîâíîé. Íà ïðàêòèêå ñíà÷àëà îïðåäåëÿþò âåðîÿòíîñòü íîñèòåëüñòâà íà îñíîâå èíôîðìàöèè î ðîäîñëîâíîé. Ïîëó÷åííîå çíà÷åíèå âûðàæàþò â ôîðìå øàíñîâ èëè îòíîøåíèÿ ïðàâäîïîäîáèé (øàíñû = p:(1 — ð), ãäå ρ - âåðîÿòíîñòü. Ïðèìåð: åñëè p = 1/4, òî øàíñû áóäóò 0,25 : 0,75 = 1:3). Íà îñíîâå ýìïèðè÷åñêîé èíôîðìàöèè î çíà÷åíèÿõ êðåàòèíêèíàçû ó íîñèòåëåé è â íîðìå (òàêèõ, êàê â òàáë. Ï.8.2) óñòàíàâëèâàþòñÿ øàíñû íîñèòåëüñòâà ïðè äàííîì çíà÷åíèè ëàáîðàòîðíîãî òåñòà. Øàíñû, ïîëó÷åííûå íà îñ-

Ïðèëîæåíèå 8 237


íîâå îáñëåäîâàíèÿ ðîäîñëîâíîé è íà îñíîâå ëàáîðàòîðíîé èíôîðìàöèè, ïåðåìíîæàþòñÿ è ïðåâðàùàþòñÿ â äåéñòâèòåëüíóþ âåðîÿòíîñòü èëè ðèñê.
Ïðèìåð: ñåñòðà áîëüíîãî ìóæñêîãî ïîëà ñ ìûøå÷íîé äèñòðîôèåé Äþøåííà, ó êîòîðîãî ïîðàæåí äÿäÿ (ðèñ. Ï. 8. 2). Ñðåäíåå çíà÷åíèå êðåàòèíêèíàçû ñåñòðû íà îñíîâå òðåõ èçìåðåíèé ñîñòàâëÿåò 100 åä./ë (95% îò íîðìû äëÿ âçðîñëûõ æåíùèí).
Øàíñû Íîñèòåëü Íåíîñèòåëü
Îáñëåäîâàíèå ðîäîñëîâíîé
Ëàáîðàòîðíûå òåñòû 1) 3,28 1 (èç òàáë. Ï.8.2.)
Ñîâìåñòíûå 3,28
1) Øàíñû îñíîâûâàþòñÿ íà ðåàëüíûõ ëàáîðàòîðíûõ äàííûõ.
Âåðîÿòíîñòü íîñèòåëüñòâà = à/(à + b) = = 3,28/(3,28 + 1) = 3,28/4,28 = 0,77 = 77%,
ãäå à -øàíñû íîñèòåëüñòâà,
b- øàíñû íåíîñèòåëüñòâà.
Øàíñû, ÷òî ýòà æåíùèíà ÿâëÿåòñÿ íîñèòåëåì, óâåëè÷èëèñü ñ 50 äî 77% çà ñ÷åò äàííûõ ïî êðåàòèíêèíàçå. Îòìåòèì, ÷òî âåðîÿòíîñòü æåíùèíå áûòü íîñèòåëåì ïðè ýòîì æå ñàìîì çíà÷åíèè ôåðìåíòà (=100) ñîñòàâèëà áû ëèøü 14%, åñëè åå ãåíåòè÷åñêèé ðèñê (âû÷èñëåííûé íà îñíîâå èíôîðìàöèè èç ðîäîñëîâíîé) áûë 1 : 20. Ýòîò ðèñê âñå æå íàìíîãî âûøå, ÷åì åñëè áû ñåìåéíûõ äàííûõ íå áûëî âîâñå.  ýòîì ñëó÷àå ðèñê íîñèòåëüñòâà ðàâåí 1/2000 (÷àñòîòà íîñèòåëåé â îáùåé ïîïóëÿöèè), à äåéñòâèòåëüíûé ðèñê (îñíîâàííûé íà ëàáîðàòîðíîì çíà÷åíèè 100) ñîñòàâèë áû 0,0016 èëè 1/628.
Êàê îòëè÷èòü çäîðîâûõ ëþäåé îò íîñèòåëåé ñ ïîìîùüþ ëàáîðàòîðíûõ òåñòîâ? Ïîñêîëüêó ñ ïîìîùüþ ëàáîðàòîðíîãî ïîêàçàòåëÿ ìû íå ìîæåì ýòî ñäåëàòü îäíîçíà÷íî (ò. å. íå ñóùåñòâóåò òàêîãî çíà÷åíèÿ, âûøå èëè íèæå êîòîðîãî ìû ìîãëè áû ñ óâåðåííîñòüþ ãîâîðèòü î íîðìå èëè íîñèòåëüñòâå), ñëåäóåò ó÷èòûâàòü, ÷òî, íàïðèìåð, â ñëó÷àå ìûøå÷íîé äèñòðîôèè Äþøåííà îêîëî îäíîé òðåòè íîñèòåëåé èìåþò «íîðìàëüíûé» óðîâåíü êðåàòèíêèíàçû (ò.å. íèæå äâóõ ñòàíäàðòíûõ îòêëîíåíèé îò ïîïóëÿöèîííîé ñðåäíåé). Òàê, åñëè èç äàííûõ ïî ðîäîñëîâíîé ðèñê áûòü íîñèòåëåì ñîñòàâëÿåò 1/2, à óðîâåíü êðåàòèíêèíàçû «íîðìàëüíûé», òî ñóììàðíûé ðèñê ìîæíî îöåíèòü êàê 1/4, ò.å. 25% (ðèñ. Ï.8.6):

 

 

 

 

  Íîñèòåëü Íåíîñèòåëü
Âåðîÿòíîñòü ïî äàííûì ðîäîñëîâíîé      
1/2   1/2
Âåðîÿòíîñòü        
íà îñíîâå çíà÷åíèé êðåàòèíêèíàçû â íîðìå      
1/3  
Ñîâìåñòíàÿ âåðîÿòíîñòü 1/6   1/2 = 3/6
Îòíîñèòåëüíûé ðèñê    
Îêîí÷àòåëüíûé ðèñê   1/4 = 25% 3/4
Íàîáîðîò, îêîí÷àòåëüíûé ðèñê íîñèòåëüñòâà ìîæíî âû÷èñëèòü êàê àïîñòåðèîðíóþ âåðîÿòíîñòü: 1/6/0/6 + 3/6) = 1/4 (ñì. òàêæå ðèñ. Ï.8.6). Äåéñòâèòåëüíûé ðèñê ìîæåò îêàçàòüñÿ íèæå, åñëè çíà÷åíèÿ êðåàòèíêèíàçû ðàñïîëàãàþòñÿ â áîëåå íèçêîé îáëàñòè íîðìàëüíîãî äèàïàçîíà. Ðèñê ìîæåò áûòü îöåíåí âûøå, åñëè ñîîòâåòñòâóþùèå ïîêàçàòåëè îòíîñÿòñÿ ê îáëàñòè áîëåå âûñîêèõ çíà÷åíèé. Íà îïðåäåëåííîì óðîâíå êðåàòèíêèíàçû (ãäå øàíñû íîñèòåëü/íåíîñèòåëü ðàâíû 1:1) ýòîò ïîêàçàòåëü íå áóäåò âëèÿòü íà ðèñê áûòü íîñèòåëåì.
Òàáëèöà Ï.8.2. Âåðîÿòíîñòü íîñèòåëüñòâà ïî ãåíó ìûøå÷íîé äèñòðîôèè Äþøåííà ïðè ðàçíûõ óðîâíÿõ ñûâîðîòî÷íîé êðåàòèíêèíàçû 1)
Óðîâåíü êðåàòèíêèíàçû Îòíîøåíèå ïðàâäîïîäîáèé (øàíñû) Óðîâåíü êðåàòèíêèíàçû Îòíîøåíèå ïðàâäîïîäîáèé (øàíñû)
< 40 405060708090100110- 0,12 0,12 0,16 0,27 0,46 0,86 1,67 3,28 6,49 120130140150160170180190 + 12,79 25,12 49,02 94,34 180,9 342,5 641,0 <1000
1) Ïðèâåäåííûå â òàáëèöå äàííûå îñíîâûâàþòñÿ íà âåðõíåì ïðåäåëå (95% îò íîðìû 100 åä./ë ñðåäè âçðîñëûõ æåíùèí) Îòíîøåíèå ïðàâäîïîäîáèé ïðåäñòàâëÿåò âåðîÿòíîñòü òîãî, ÷òî äàííûé ïîêàçàòåëü êðåàòèíêèíàçû äëÿ âçðîñëîé íåáåðåìåííîé æåíùèíû ïîëó÷åí èç ïîïóëÿöèè òî÷íî óñòàíîâëåííûõ íîñèòåëåé ïðîòèâ êîíòðîëüíîé ïîïóëÿöèè (100 åä./ë), ãäå øàíñû íîñèòåëüñòâà 3,28 : 1 . Îòìåòèì, ÷òî ïðè ñîñòàâëåíèè ýòîé òàáëèöû òåñòèðîâàëèñü ðàâíûå ïî ÷èñëåííîñòè ãðóïïû íîðìàëüíûõ æåíùèí è î÷åâèäíûõ íîñèòåëåé. Äåéñòâèòåëüíûé ðèñê çàâèñèò îò ãåíåòè÷åñêîãî ðèñêà, ðàññ÷èòûâàåìîãî ïî ðîäîñëîâíîé (ñì òåêñò).

238 Ïðèëîæåíèå 8

 

Ðèñ. Ï.8.6. Óðîâåíü êðåàòèíêèíàçû ïðè ìûøå÷íîé äèñòðîôèè Äþøåííà. Ïðèìåð: èíôîðìàöèÿ èç ðîäîñëîâíîé äàåò ðèñê íîñèòåëüñòâà 0,5 è íåíîñèòåëüñòâà 0,5. Ëèíèÿ (À) äåëèò îáùåå «ïðîñòðàíñòâî» âåðîÿòíîñòåé íà äâå ðàâíûå ïî ðàçìåðó ÷àñòè. Ïîñêîëüêó äâå òðåòè íîñèòåëåé èìåþò ïîâûøåííûé óðîâåíü êðåàòèíêèíàçû, òî âåðîÿòíîñòíîå ïðîñòðàíñòâî äåëèòñÿ ëèíèÿìè (Á) è (Â) íà òðè ðàâíûå ÷àñòè. Íîñèòåëè, êîòîðûå èìåþò àíîìàëüíûé óðîâåíü ôåðìåíòà, ëîêàëèçóþòñÿ â îáëàñòè ñ êîñîé øòðèõîâêîé (ýòî 2/3 íîñèòåëåé). Ñðåäè òåõ, êòî èìååò íîðìàëüíûå óðîâíè êðåàòèíêèíàçû, îäèí èç ÷åòûðåõ (áåëûå êâàäðàòû) áóäåò íîñèòåëåì. Ðèñ. Ï.8.7. Ðîäîñëîâíàÿ, èíôîðìàòèâíàÿ â îòíîøåíèè ÏÄÐÔ ïðè ìûøå÷íîé äèñòðîôèè Äþøåííà. Â1 îòíîñèòñÿ ê áîëåå ÷àñòîìó àëëåëþ, à Â2 - ê áîëåå ðåäêîìó àëëåëþ ýòîãî ëîêóñà. (Â2) è (Â1) óêàçûâàþò íà ãåíîòèï. ×èñëà ïîä ñèìâîëàìè îòíîñÿòñÿ ê óðîâíÿì êðåàòèíêèíàçû. Áîëüíîé III, 1 ïîëó÷èë àëëåëü Â1 îò ìàòåðè-íîñèòåëüíèöû (II,2), êîòîðàÿ ïîëó÷èëà åãî îò ñâîåé ìàòåðè (1,2). III,2, êîòîðàÿ èìååò 50%-íûé ðèñê íîñèòåëüñòâà, ïîëó÷èëà íîðìàëüíûé àëëåëü Â2 îò ìàòåðè è íîðìàëüíûé àëëåëü B1 îò îòöà. Ñëåäîâàòåëüíî, III,2 íå óíàñëåäîâàëà àëëåëü ìûøå÷íîé äèñòðîôèè, åñëè òîëüêî â ðåçóëüòàòå êðîññèíãîâåðà ìóòàíòíûé ãåí íå ïîïàë â õðîìîñîìó, íåñóùóþ àëëåëü Â2 (âåðîÿòíîñòü 15%).

Èñïîëüçîâàíèå èíôîðìàöèè î ÏÄÐÔ. Îêîí÷àòåëüíóþ îöåíêó ðèñêà ìîæíî åùå óëó÷øèòü, åñëè èñïîëüçîâàòü ôåíîìåí ïîëèìîðôèçìà ïî äëèíå ðåñòðèêöèîííûõ ôðàãìåíòîâ (ÏÄÐÔ). Òðè ñîîòâåòñòâóþùèõ ñàéòà ðàñïîëîæåíû ñî ñòîðîíû 5'- è 3'-êîíöîâ ãåíà ìûøå÷íîé äèñòðîôèè Äþøåííà. Èçâåñòíî, ÷òî 45% áðèòàíñêèõ æåíùèí ãåòåðîçèãîòíû ïî êðàéíåé ìåðå ïî îäíîìó èç íèõ. Ïîñêîëüêó êàæäûé èç ýòèõ ÄÍÊ-ìàðêåðîâ ðàñïîëîæåí äàëåêî îò ãåíà äèñòðîôèè (13-20 ñÌ), òî êðîññîâåðû ìåæäó ìàðêåðíûì ãåíîì è ãåíîì ìûøå÷íîé äèñòðîôèè Äþøåííà áóäóò îòíîñèòåëüíî ÷àñòûìè. Äîáàâëåíèå äàííûõ ïî ÏÄÐÔ ê èíôîðìàöèè, ïîëó÷àåìîé èç ðîäîñëîâíîé è ïðè îïðåäåëåíèè óðîâíÿ êðåàòèíêèíàçû, ÷àñòî ñíèæàåò ðèñê.

Ïðèìåð èñïîëüçîâàíèÿ âñåé èíôîðìàöèè ïðèâåäåí íà ðèñ. Ï.8.7. Ó æåíùèíû III, 2 èìååòñÿ áðàò è óìåðøèé äÿäÿ, ñòðàäàâøèé ïðè æèçíè ìûøå÷íîé äèñòðîôèåé Äþøåííà. Îíà õî÷åò çíàòü, ÿâëÿåòñÿ ëè îíà íîñèòåëåì. Ïîêàçàòåëü êðåàòèíêèíàçû 75 åä./ë, òîãäà êàê ó åå ìàòåðè è áàáóøêè ñî ñòîðîíû ìàòåðè ýòè çíà÷åíèÿ ðàâíû 110 è 125 åä./ë ñîîòâåòñòâåííî. Åå ðèñê


 

 

áûòü íîñèòåëåì, ðàññ÷èòàííûé ïî ðîäîñëîâíîé, ñîñòàâëÿåò 50 : 50. Èñõîäÿ èç óðîâíÿ êðåàòèíêèíàçû, åå øàíñû áûòü íîñèòåëåì ðàíâû 0,46 : 1 (òàáë. Ï.8.2). Ñíà÷àëà âû÷èñëÿåòñÿ âåðîÿòíîñòü íîñèòåëüñòâà ïî ðîäîñëîâíîé è èñõîäÿ èç ïîêàçàòåëÿ êðåàòèíêèíàçû
  Íîñèòåëü Íåíîñèòåëü
Âåðîÿòíîñòü ïî äàííûì ðîäîñëîâíîé 1/2 1/2
Âåðîÿòíîñòü íà îñíîâå çíà÷åíèÿ êðåàòèíêèíàçû â íîðìå    
0,46 1 (èç òàáë. Ï.8.2.)
Ñîâìåñòíàÿ âåðîÿòíîñòü 0,23 0,5
Îêîí÷àòåëüíàÿ âåðîÿòíîñòü = 0,23/0,73 = 0,31 = = 31%.

Ïðèëîæåíèå 8. 239

 

Ðèñ. Ï.8.8. À. Ïðèíöèï èäåíòèôèêàöèè ãåòåðîçèãîò è ïðåíàòàëüíàÿ äèàãíîñòèêà ãåìîôèëèè À. Ìàòü (1,1) ÿâëÿåòñÿ äâîéíîé ãåòåðîçèãîòîé ïî àëëåëþ ãåìîôèëèè è ΠÄÐÔ-ìàðêåðó 4- . Á. Îòåö (1,1) çäîðîâ è èìååò ìàðêåð—. Ïîñêîëüêó ñûí (11,2) óíàñëåäîâàë àëëåëü ãåìîôèëèè è ìàðêåð + îò ìàòåðè, òî ìàðêåð + äîëæåí ðàñïîëàãàòüñÿ íà òîé æå õðîìîñîìå, ÷òî è àëëåëü ãåìîôèëèè (= ôàçà ïðèòÿæåíèÿ, ðàçä. 3.4). Ïîñêîëüêó äî÷ü (11,1) ãåòåðîçèãîòíà +/— , îíà óíàñëåäîâàëà õðîìîñîìó, ñîäåðæàùóþ ìàðêåð + è ãåí ãåìîôèëèè, îò ìàòåðè; îíà äîëæíà áûòü ãåòåðîçèãîòîé ïî ãåìîôèëèè. Ïëîä (Ï,3) èìååò ìàðêåð + , îí äîëæåí óíàñëåäîâàòü òó æå õðîìîñîìó è áûòü ãåìîôèëèêîì.
Ðèñ. Ï.8.9. Ðîäîñëîâíàÿ ñ ãåìîôèëèåé A (Din et al., 1985). Îòìåòèì, ÷òî ãåìîôèëèþ À ìîæíî áûëî âûÿâèòü ó ïëîäà (III,2) ïîñðåäñòâîì ïðåíàòàëüíîé äèàãíîñòèêè, èñïîëüçóÿ ïðîáó ôàêòîðà VIII è ðåñòðèêòàçó Bgl, áåç òåñòèðîâàíèÿ ÄÍÊ-ôåíîòèïîâ äâóõ ãåìîôèëèêîâ (III, 1 è 1,3). ÄÍÊ-âàðèàíò ó ïëîäà (III, 2) èäåíòè÷åí òàêîâîìó ó çäîðîâîãî äåäà ïî ìàòåðèíñêîé ëèíèè (1,1), ÷òî ñâèäåòåëüñòâóåò î òîì, ÷òî ïëîä íîðìàëåí. Îòìåòèì, ÷òî íà îñíîâàíèè àíàëèçà ÄÍÊ-âàðèàíòà íåëüçÿ óñòàíîâèòü íîñèòåëüñòâî ñåñòðû (11,3).

Ïðèëîæåíèå 8


Äàííûå î ÏÄÐÔ åå ñåìüè (ðèñ. Ï.8.7). ñâèäåòåëüñòâóþò î òîì, ÷òî ýòà æåíùèíà (III, 2) óíàñëåäîâàëà íîðìàëüíóþ Õ-õðîìîñîìó (Â2) îò ìàòåðè, õîòÿ íàáëþäàåìàÿ êàðòèíà ìîãëà áûòü ñëåäñòâèåì êðîññèíãîâåðà. Ñ ó÷åòîì ðàññòîÿíèÿ ìåæäó ìàðêåðîì è ñîîòâåòñòâóþùèì ãåíîì åå øàíñ áûòü íîñèòåëåì (åñëè îñíîâûâàòüñÿ ëèøü íà èíôîðìàöèè î ÏÄÐÔ) ñîñòàâëÿåò 15%, ò.å. øàíñ êðîññîâåðà. Îáúåäèíåíèå âñåé èíôîðìàöèè ñíèæàåò ðèñê íîñèòåëüñòâà äëÿ íåå äî 1,4%, à ðèñê èìåòü ïîðàæåííîãî ñûíà äî 0,7%.

Ïîÿâëÿåòñÿ âñå áîëüøå äàííûõ î ÏÄÐÔ äëÿ ãåìîôèëèè À è Â. Îêàçàëîñü, ÷òî ïðàêòè÷åñêè âñå æåíùèíû ãåòåðîçèãîòíû ïî ïðîáå (ñïåöèôè÷åñêîé ê ãåíó èëè ñåãìåíòó Õ-õðîìîñîìû) äëÿ ãåìîôèëèè À. Åñëè ïî ñòðóêòóðå ðîäîñëîâíîé ìû íå ìîæåì ñäåëàòü êàêîãî-ëèáî âûâîäà, âïîëíå êîððåêòíà ïîñòàíîâêà äèàãíîçà íîñèòåëüñòâà ãåìîôèëèè À ñ ïîìîùüþ ÏÄÐÔ (ðèñ. Ï.8.8, Ï.8.9).


Ïîâòîðíûé ðèñê äëÿ äåòåé íåïîðàæåííûõ íîñèòåëåé ãåíà ïðè àóòîñîìíî-äîìèíàíòíîì íàñëåäîâàíèè. Èíîãäà êëèíè÷åñêè íåïîðàæåííûé èíäèâèä, ó êîòîðîãî åñòü ðîäñòâåííèêè ñ àóòîñîìíî-äîìèíàíòíûì çàáîëåâàíèåì ñî ñíèæåííîé ïåíåòðàíòíîñòüþ, õî÷åò ïîëó÷èòü ñîâåò îòíîñèòåëüíî ðèñêà çàáîëåâàíèÿ äëÿ ñâîèõ äåòåé. Íåçàâèñèìî îò òî÷íîãî çíà÷åíèÿ ïåíåòðàíòíîñòè áûëî ïîêàçàíî, ÷òî ðèñê äëÿ äåòåé èíäèâèäà ñ 50%-íûì ðèñêîì íèêîãäà íå ïðåâûñèò 9% [2366]. Ïðè÷èíà ýòîãî çàêëþ÷àåòñÿ â òîì, ÷òî íåïîðàæåííûé ðîäèòåëü âðÿä ëè ÿâëÿåòñÿ íîñèòåëåì ãåíà çàáîëåâàíèÿ ñ âûñîêîé ïåíåòðàíòíîñòüþ. Íàîáîðîò, äëÿ áîëåçíåé ñ íèçêîé ïåíåòðàíòíîñòüþ, äàæå åñëè ðîäèòåëü ÿâëÿåòñÿ íîñèòåëåì ãåíà, âåðîÿòíîñòü äëÿ ðåáåíêà áûòü êëèíè÷åñêè ïîðàæåííûì ìàëà.


Ïðèëîæåíèå 9

Ïðèìåðû ðàñ÷åòà ñöåïëåíèÿ


 

 

 ðàçä. 3.4.2 áûëè îïèñàíû ìåòîäû îáñëåäîâàíèÿ ðîäîñëîâíûõ íà ïðåäìåò âûÿâëåíèÿ ñöåïëåíèÿ. Òàáëèöû è ôîðìóëû äëÿ ðåàëüíûõ ðàñ÷åòîâ ìîæíî íàéòè â ðàáîòàõ [882; 796; 797; 798]. Ìû ïðèâåäåì äâà ïðèìåðà ðàñ÷åòà ñöåïëåíèÿ: â îäíîì óñòàíàâëèâàåòñÿ íå î÷åíü òåñíîå ñöåïëåíèå äâóõ ïðèçíàêîâ, äåòåðìèíèðóåìûõ Õ-õðîìîñîìíûìè ãåíàìè, à â äðóãîì - òåñíîå ñöåïëåíèå äâóõ àóòîñîìíûõ ïðèçíàêîâ. Ïðèìåð: ñöåïëåíèå ìåæäó Õ-õðîìîñîìíûìè ãåíàìè ãëàçíîãî àëüáèíèçìà è ãðóïïû êðîâè Õä [661]. Íà ðèñ. Ï.9.1-Ï.9.3 ïðåäñòàâëåíû òðè áîëüøèå ðîäîñëîâíûå, â êîòîðûõ ñåãðåãèðóþò Õ-ñöåïëåííûå ãåíû ãëàçíîãî àëüáèíèçìà è ãðóïïû êðîâè Xg. Èíôîðìàöèþ î ñöåïëåíèè äàþò 25 ñûíîâåé 11 ìàòåðåé, î êîòîðûõ èçâåñòíî, ÷òî îíè ãåòåðîçèãîòíû êàê ïî ãëàçíîìó àëüáèíèçìó, òàê è ïî àíòèãåíó Xg.  òàáë. Ï. 9.1 ïðèâåäåíà êëàññèôèêàöèÿ ñèáñòâ òðåõ ðîäîñëîâíûõ â ñîîòâåòñòâèè ñ èõ òèïàìè â òàáëèöàõ [882; 796; 797; 798] è ðàñïðåäåëåíèåì ëîãàðèôìè÷åñêèõ øàíñîâ. Îòíîøåíèå ïðàâäîïîäîáèé Ρ(θ) ðîäîñëîâíîé äëÿ ÷àñòîòû ðåêîìáèíàöèè θ âû÷èñëÿåòñÿ ñëåäóþùèì îáðàçîì:  
 
 
 
Íà ðèñ. Ï.9.4 ïðèâåäåíû ëîãàðèôìè÷åñêèå øàíñû è èõ èíòåðïîëÿöèÿ. Âåðîÿòíîñòü ñöåïëåíèÿ (θ = 0,175) â 18 ðàç âûøå, ÷åì âåðîÿòíîñòü îòñóòñòâèÿ ñöåïëåíèÿ. Äî ñèõ ïîð 11 ñèáñòâ îöåíèâàëèñü íåçàâèñèìî äðóã îò äðóãà, ò.å. íå ó÷èòûâàëñÿ òîò ôàêò, ÷òî îíè ïðèíàäëåæàò òðåì áîëüøèì ðîäîñëîâíûì. Ðàññìîòðåíèå ýòîãî àñ-  

 

 

ïåêòà ìîæåò ïîìî÷ü èçâëå÷ü çíà÷èòåëüíî áîëüøå èíôîðìàöèè. Ýòî òðåáóåò ñîñòàâëåíèÿ èíäèâèäóàëüíûõ óðàâíåíèé äëÿ òðåõ ðîäîñëîâíûõ. Èìåþòñÿ êîìïüþòåðíûå ïðîãðàììû äëÿ îáñ÷åòà òàêèõ áîëüøèõ ðîäîñëîâíûõ [831]. Ðåçóëüòàòû ïîäîáíîãî ìàøèííîãî ðàñ÷åòà ïðèâåäåíû â òàáë. Ï.9.2. Íà ðèñ. Ï.9.5 ñðàâíèâàþòñÿ ðàñïðåäåëåíèÿ ëîãàðèôìè÷åñêèõ øàíñîâ ïðè ðàçëè÷íûõ ÷àñòîòàõ ðåêîìáèíàöèè äëÿ ìàøèííîãî ðàñ÷åòà è äëÿ ðàçäåëüíîãî ðàñ÷åòà ïî È ñèáñòâàì. È â ýòîì ñëó÷àå ÷àñòîòà ðåêîìáèíàöèè îêàçûâàåòñÿ ðàâíîé » 0,175, íî âåðîÿòíîñòü ñöåïëåíèÿ ïðè ýòîì òåïåðü â 470 ðàç áîëüøå. Êàê è îæèäàëîñü, ïðè êîìïüþòåðíîì àíàëèçå óäàëîñü èçâëå÷ü çíà÷èòåëüíî áîëüøå èíôîðìàöèè èç èìåþùèõñÿ äàííûõ.  1980 ã. Êîíåéëëè è Ðèâàñ [612à] ñôîðìóëèðîâàëè íåñêîëüêî ïîëåçíûõ ïðàâèë äëÿ èçó÷åíèÿ ñöåïëåíèÿ. Îáû÷íî âûáèðàåòñÿ ãëàâíûé ëîêóñ, íàïðèìåð ëîêóñ ðåäêîãî çàáîëåâàíèÿ ñ àóòîñîìíî-äîìèíàíòíûì òèïîì íàñëåäîâàíèÿ, è èññëåäóåòñÿ íàëè÷èå ñöåïëåíèÿ ñ íåñêîëüêèìè äðóãèìè òåñòîâûìè ëîêóñàìè, îòâåòñòâåííûìè çà íàèáîëåå ðàñïðîñòðàíåííûå ñèñòåìû ãåíåòè÷åñêîãî ïîëèìîðôèçìà. Îäèí èç ðîäèòåëåé äîëæåí áûòü ãåòåðîçèãîòíûì êàê ïî òåñòîâîìó ëîêóñó, òàê è ïî ãëàâíîìó. Ñëåäîâàòåëüíî, òåñòîâûå ëîêóñû ñëåäóåò âûáèðàòü òàêèì îáðàçîì, ÷òîáû ìàêñèìèçèðîâàòü èíôîðìàòèâíîñòü áðàêîâ. Íàèáîëüøåå êîëè÷åñòâî ãåòåðîçèãîò ïî òåñòîâîìó ëîêóñó ìîæíî îæèäàòü, åñëè ÷àñòîòû äâóõ êîäîìèíàíòíûõ ìàðêåðíûõ àëëåëåé ðàâíû èëè åñëè ðåöåññèâíûé àëëåëü âñòðå÷àåòñÿ íåìíîãî ÷àùå äîìèíàíòíîãî. Èçó÷åíèå ñöåïëåíèÿ - ïðîöåäóðà òðóäîåìêàÿ è äîðîãîñòîÿùàÿ. Èíîãäà ìîæíî ñîõðàíèòü âðåìÿ è äåíüãè, åñëè àíàëèç íà÷àòü ñî ñêðèíèðîâàíèÿ, èñïîëüçóÿ ïðåäâàðèòåëüíóþ èíôîð-

 

Ðèñ. Ï.9.1. Ñåìüÿ ñ Õ-ñöåïëåííûì ãëàçíûì àëüáèíèçìîì (ñåìüÿ M èç òàáë. Ï.9.1) [661].
Ðèñ. Ï.9.2. Ñåìüÿ ñ Õ-ñöåïëåííûì ãëàçíûì àëüáèíèçìîì (ñåìüÿ W èç òàáë. Ï.9.1; îáîçíà÷åíèÿ òàêèå æå, êàê è íà ðèñ. Ï.9.1) [661].

 

Ðèñ. Ï.9.3. Ñåìüÿ ñ Õ-ñöåïëåííûì ãëàçíûì àëüáèíèçìîì (ñåìüÿ L èç òàáë. Ï.9.1; îáîçíà÷åíèÿ òàêèå æå, êàê è íà ðèñ. Ï.9.1) [661].
Òàáëèöà Ï.9.1. Ëîãàðèôìè÷åñêèå øàíñû ñöåïëåíèÿ ãëàçíîãî àëüáèíèçìà è ãðóïïû êðîâè Xg [661]
Ñåìüÿ Ìàòü Äåòè ×àñòîòà ðåêîìáèíàöèè, θ
      0,05 0,10 0,15 0,20 0,25 0,30 0,35 0,40 0,45
M II-3 Z13:1, å13:1 -0,483 -0,241 -0,126 -0,064 -0,030 -0,012 -0,003 -0,001 0,000
(ðèñ. Ï9.1) III-10 Z12:0, å11:1 0,154 0,131 0,107 0,085 0,062 0,041 0,024 0,011 0,003
  IV-12 Z13:1, å13:1 -0,483 -0,241 -0,126 -0,064 -0,030 -0,012 -0,003 -0,001 0,000
  IV-19 Z14:0, å13:1 0,795 0,708 0,614 0,513 0,407 0,297 0,190 0,094 0,025
  IV-30 Z12:0, å11:1 0,154 0,131 0,107 0,085 0,062 0,041 0,024 0,011 0,003
  IV-31 Z1l:1,å12:0 -0,584 -0,340 -0,215 -0,138 -0,087 -0,052 -0,028 -0,012 -0,003
  V-34 1 íåðåêîìáèíàíò 0,279 0,255 0,230 0,204 0,176 0,146 0,114 0,079 0,041
  V-35 1 íåðåêîìáèíàíò 0,279 0,255 0,230 0,204 0,176 0,146 0,114 0,079 0,041
W IV-2 3 íåðåêîìáèíàíòà 0,837 0,765 0,690 0,612 0,528 0,438 0,342 0,237 0,123
(ðèñ. Ï9.2) IV-4 1 ðåêîìáèíàíò -1,000 -0,699 -0,523 -0,398 -0,301 -0,222 -0,155 -0,097 -0,046
L III-2 1 íåðåêîìáèíàíò 0,279 0,255 0,230 0,204 0,176 0,146 0,114 0,079 0,041
(ðèñ. Ï9.3)                      
Ñóììà ëîãàðèôìè÷åñêèõ øàíñîâ Àíòèëîãàðèôì 0,277 1,687 0,979 9,528 1,218 16,52 1,243 17,5 1,139 13,77 0,957 9,057 0,733 5,408 0,479 3,013 0,041 1,690
Ðèñ. Ï.9.4. Îòíîñèòåëüíàÿ âåðîÿòíîñòü ñöåïëåíèÿ ìåæäó ãåíîì ãëàçíîãî àëüáèíèçìà è ãðóïïîé êðîâè Xg íà îñíîâå ëîãàðèôìè÷åñêèõ øàíñîâ (òàáë. Ï.9.1). Îòìåòèì, ÷òî îòíîñèòåëüíàÿ âåðîÿòíîñòü ñöåïëåíèÿ (θ = 0,175) â 18 ðàç âûøå, ÷åì âåðîÿòíîñòü îòñóòñòâèÿ ñöåïëåíèÿ [661].

 

Òàáëèöà Ï.9.2. Ëîãàðèôìè÷åñêèå øàíñû (ïðè êîìïüþòåðíîì àíàëèçå) ñöåïëåíèÿ ãëàçíîãî àëüáèíèçìà è ãðóïïû êðîâè Xg
Ñåìüÿ ×àñòîòà ðåêîìáèíàöèè, θ
  0,05 0,10 0,15 0,20 0,25 0,30 0,35 0,40 0,45
M (ðèñ. Ï9.1) 0,8960 1,8371 2,1277 2,1369 1,9811 1,7139 1,3662 0,9579 0,5008
W (ðèñ. Ï9.2) -0,1637 0,0668 0,1685 0,2144 0,2272 0,2165 0,1869 0,1406 0,0784
L (ðèñ. Ï9.3) 0,4264 0,3759 0,3256 0,2760 0,2272 0,1796 0,1331 0,0878 0,0436
2,2798 2,6218 2,6273 2,4355 2,1100 1,6862 1,1863 0,6228
Àíòèëîãàðèôì 144,1 190,5 418,6 423,9 272,6 128,8 48,6 15,4 4,2
Ðèñ. Ï.9.5. Îòíîñèòåëüíàÿ âåðîÿòíîñòü ñöåïëåíèÿ ìåæäó ãåíîì ãëàçíîãî àëüáèíèçìà è ãðóïïîé êðîâè Xg. Äàííûå ïîëó÷åíû ñ èñïîëüçîâàíèåì êîìïüþòåðà (âåðõíÿÿ êðèâàÿ) è ñ ïîìîùüþ îïèñàííîãî âàðèàíòà ìåòîäà ëîãàðèôìè÷åñêèõ øàíñîâ (íèæíÿÿ êðèâàÿ). Íèæíÿÿ êðèâàÿ ñîâïàäàåò ñ ïðèâåäåííîé íà ðèñ. Ï.9.4, íî âû÷åð÷åíà íà äðóãîé øêàëå. Îòìåòèì, ÷òî êîìïüþòåð èçâëåê çíà÷èòåëüíî áîëüøå èíôîðìàöèè èç ýòèõ äàííûõ. ×àñòîòà ðåêîìáèíàöèè îñòàåòñÿ 0,175, íî îòíîñèòåëüíàÿ âåðîÿòíîñòü ñöåïëåíèÿ â 470 ðàç âûøå, ÷åì âåðîÿòíîñòü îòñóòñòâèÿ ñöåïëåíèÿ [661].
Ðèñ. Ï.9.6. Ðîäîñëîâíàÿ, â êîòîðîé ñåãðåãèðóþò àóòîñîìíî-äîìèíàíòíûé ãåí íåñîâåðøåííîãî ðåòè- íîãåíåçà è ãåí ñïåöèôè÷åñêîãî ôàêòîðà êðîâè GC [559]. Îáúÿñíåíèÿ è àíàëèç ñöåïëåíèÿ ïðèâîäÿòñÿ â òåêñòå.

Ïðèëîæåíèå 9 245


ìàöèþ äëÿ îòáîðà òåñòîâûõ ëîêóñîâ, à óæå çàòåì ïðîâîäèòü áîëåå äåòàëüíûé àíàëèç. Åñëè èçâåñòíî, ÷òî äâà òåñòîâûõ ëîêóñà îòíîñèòåëüíî òåñíî ñöåïëåíû, òî ñëåäóåò èçó÷àòü òîëüêî îäèí èç íèõ. Íàïðèìåð, HLA-òåñòèðîâàíèå òðåáóåò ìíîãî âðåìåíè è ñðåäñòâ. Ìåæäó òåì ëîêóñ Bf òåñíî ñöåïëåí ñ HLA, íî åãî ïðîòåñòèðîâàòü íàìíîãî ëåã÷å. Ñëåäîâàòåëüíî, äëÿ ñêðèíèðîâàíèÿ ñëåäóåò èñïîëüçîâàòü èìåííî ýòîò ëîêóñ.

Ïðè óâåëè÷åíèè ÷èñëà ëîêóñîâ, êîòîðûå ìîæíî âêëþ÷èòü â àíàëèç ñöåïëåíèÿ, øàíñû óñòàíîâëåíèÿ ñöåïëåíèÿ âîçðàñòàþò. Íàïðèìåð, åñëè ëîêóñû ðàâíîìåðíî ðàñïðåäåëåíû ïî ãåíîìó è åñëè àíàëèç ñöåïëåíèÿ óêàçûâàåò íà θ = 0,4 êàê íà ìàêñèìàëüíîå çíà÷åíèå ÷àñòîòû ðåêîìáèíàöèè, âåðîÿòíîñòü âûÿâëåíèÿ ïî êðàéíåé ìåðå îäíîãî ñöåïëåíèÿ ðàâíà 0,35 ïðè 20 ìàðêåðàõ è 0,5 ïðè 30 ìàðêåðàõ. Äîïîëíèòåëüíóþ èíôîðìàöèþ äàåò çíàíèå î ïðèíàäëåæíîñòè ìàðêåðîâ êîíêðåòíûì õðîìîñîìàì. Íàïðèìåð, îáíàðóæåíèå ñöåïëåíèÿ ñ ðåäêîé êîæíîé àíîìàëèåé (àêðîêåðàòîýëàñòîèäîç) äàåò ïîëîæèòåëüíûå, íî ñòàòèñòè÷åñêèå íåçíà÷èìûå ëîãàðèôìè÷åñêèå øàíñû äëÿ äâóõ ìàðêåðîâ; îñòàëüíûå ìàðêåðû äàþò îòðèöàòåëüíûå øàíñû. Îáû÷íî áîëüøå íèêàêèõ âûâîäîâ ñäåëàòü íåëüçÿ. Îäíàêî, ïîñêîëüêó ðàíåå äëÿ ýòèõ äâóõ ëîêóñîâ áûëà óñòàíîâëåíà ïðèíàäëåæíîñòü õðîìîñîìå 2, òî ãëàâíûé ëîêóñ òàêæå ìîæíî ïðèïèñàòü ýòîé õðîìîñîìå è ïðåäïîëîæèòü ñöåïëåíèå ñ ìàðêåðíûì ëîêóñîì [688 à].


Êàê óïîìèíàëîñü â ðàçä. 3.4.2, ðåàëüíîå ðàññòîÿíèå ïî êàðòå ìåæäó äâóìÿ ëîêóñàìè ìîæíî ïîëó÷èòü íà îñíîâå îöåíêè θ ïî ðèñ. 3.26. Ñ óâåëè÷åíèåì ïëîòíîñòè ãåíåòè÷åñêîé êàðòû ÷åëîâåêà âñå ÷àùå áóäåò óñòàíàâëèâàòüñÿ ñöåïëåíèå òðåõ è áîëåå ëîêóñîâ. Äëÿ îïòèìàëüíîãî êàðòèðîâàíèÿ öåëîãî ðàéîíà ñëåäóåò îáúåäèíèòü îöåíêè ÷àñòîò ðåêîìáèíàöèè ìåæäó ïàðàìè òàêèõ ëîêóñîâ. Ïðàâèëà è ôîðìóëû äëÿ òàêîãî ìíîãîòî÷å÷íîãî êàðòèðîâàíèÿ ìîæíî íàéòè â ðàáîòå [612 à].

 ïîñëåäíèå ãîäû â àíàëèç ñöåïëåíèÿ âîâëåêàåòñÿ âñå áîëüøåå êîëè÷åñòâî ïîëèìîðôíûõ ñèñòåì ïî ñàéòàì ðåñòðèêöèè (ðàçä. 2.3.3.9). Ýòîò àíàëèç ïðèîáðåòàåò ïîýòîìó âñå áîëüøóþ öåííîñòü â ìåäèöèíñêîé ãåíåòèêå. Ïðè èñïîëüçîâàíèè ïîëèìîðôíûõ ñàéòîâ ìíîãîòî÷å÷íîå êàðòèðîâàíèå ñòàíåò ñêîðåå ïðàâèëîì, ÷åì èñêëþ÷åíèåì.

Íà ðèñ. Ï.9.6 ïðèâåäåíà áîëüøàÿ ðîäîñëîâíàÿ, â êîòîðîé àóòîñîìíî-äîìèíàíòíîå çàáîëåâàíèå-íåñîâåðøåííûé äåíòèíîãåíåç (12550)ñåãðåãèðóåò âìåñòå ñ GC-òèïàìè áåëêà [559] Èìåþòñÿ òðè àëëåëÿ GC1S, GC1F è GC2. Ïîëíûé àíàëèç ðîäîñëîâíîé ïîäðàçóìåâàåò âû÷èñëåíèå âåðîÿòíîñòåé ãåíîòèïîâ èíäèâèäîâ, êîòîðûå íå ìîãëè áûòü òèïèðîâàíû ïî ìàðêåðó (I.1,2; II. 1,2). Òîãäà ìîæíî ïîäñ÷èòàòü øàíñû âñåé ðîäîñëîâíîé Ýòîò ïîäñ÷åò òðóäåí, íî, ê ñ÷àñòüþ, èìååòñÿ êîìïüþòåðíàÿ ïðîãðàììà (LIPED), è äåòàëüíîå îïèñàíèå åå ðàáîòû ìîæíî ïîëó÷èòü ó àâòîðà, ä-ðà Îòòà [831].


 

 


246 Ïðèëîæåíèå 9


 òàáë. Ï.9.3 ïðèâåäåíû ëîãàðèôìè÷åñêèå øàíñû äëÿ θΜ (÷àñòîòà ðåêîìáèíàöèè ó ìóæ÷èí) è θρ (÷àñòîòà ðåêîìáèíàöèè ó æåíùèí). Ìàêñèìàëüíûé ëîãàðèôìè÷åñêèé øàíñ ñîñòàâëÿåò 7,9238 ïðè θΜ = 0,05 äëÿ


ìóæ÷èí è θF = 0,25 äëÿ æåíùèí.  òàáë. Ï.9.4 ïðåäñòàâëåíû áîëåå ïîäðîáíûå ðàñ÷åòû äëÿ «êðèòè÷åñêîé» îáëàñòè òàáë. Ï.9.3: íàèëó÷øèå îöåíêè θΜ = 0,05 è θF = = 0,24, ëîãàðèôìè÷åñêèé øàíñ z = 7,9277.


 


 

Òàáëèöà Ï.9.3. Ðîäîñëîâíàÿ ñ íåñîâåðøåííûì äåíòèíîãåíåçîì è òèïàìè êðîâè GÑ
Îì 0,
  0,05 0,10 0,15 0,20 0,25 0,30 0,35 0,40 0,45 0,50
0,05 5,7385 7,0780 7,6460 7,6263 7,3316 6,9506 6,4831
0,10 5,4992 6,8370 7,4048 7,6418 7,6841 7,5906 7,3908 7,0997 6,7240 6,2639
0,15 4,9709 6,3028 6,8690 7,1058 7,1488 7,0569 6,8596 6,5723 6,2019 5,7492
0,20 4,3034 5,6209 6,1826 6,4177 6,4605 6,1747 5,8911 5,5262 5,0811
0,25 3,5484 4,8381 5,3897 5,6203 5,6613 5,5704 5,3772 5,0971 4,7376 4,3001
0,30 2,7353 3,9794 4,5123 4,7332 4,7690 4,6761 4,4831 4,2057 3,8512 3,4214
0,35 1,8921 3,0723 3,5733 3,7754 3,7997 3,6999 3,5039 3,2269 2,8764 2,4540
0,40 1,0653 2,1707 2,6243 2,7935 2,7940 2,6774 2,4705 2,1884 1,8390 1,4252
0.45 0,3170 1,3584 1,7647 1,8954 1,8641 1,7217 1,4957 1,2033 0,8581 0,4764
0,50 0,2835 0,7003 1,0796 1,1946 1,1545 1,0094 0,7890 0,51% 0,2383 0,0000

 

Òàáëèöà Ï.9.4. ×àñòü òàáë. Ï.9.3 ñ áîëåå òî÷íûìè äåëåíèÿìè
θM θF
  0,20 0,21 0,22 0,23 0,24 0,25 0,26 0,27 0,28 0,29 0,30
0,01 7,1367 7,1579 7,1721 7,1797 7,1813 7,1771 7,1676 7,1529 7,1334 7,1092 7,0807
0,02 7,5746 7,5958 7,6100 7,6177 7,6193 7,6152 7,6057 7,5911 7,5716 7,5475 7,5190
0,03 7,7649 7,7862 7,8005 7,8082 7,8098 7,8058 7,7963 7,7818 7,7624 7,7384 7,7100
0,04 7,8524 7,8737 7,8880 7,8957 7,8974 7,8934 7,8840 7,8695 7,8502 7,8263 7,7979
0,05 7,8825 7,9038 7,9182 7,9260 7,9238 7,9144 7,9000 7,8807 7,8569 7,8286
0,06 7,8757 7,8970 7,9114 7,9193 7,9211 7,9171 7,9079 7,8935 7,8743 7,8505 7,8223
0,07 7,8427 7,8642 7,8786 7,8865 7,8883 7,8844 7,8752 7,8609 7,8418 7,8181 7,7900
0,08 7,7902 7,8117 7,8261 7,8341 7,8360 7,8321 7,8230 7,8087 7,7897 7,7660 7,7380

 

Òàáëèöà Π 9.5 Ìåòîäû êàðòèðîâàíèÿ ãåíîâ ÷åëîâåêà è èõ ñòàíäàðòíûå îáîçíà÷åíèÿ
1. F - àíàëèç ðàñùåïëåíèÿ è ñöåïëåíèÿ ïðèçíàêîâ â ñåìüÿõ (family studies); òàê áûëè êàðòèðîâàíû, íàïðèìåð, ëîêóñû ãðóïïû êðîâè ÀÂÎ è íîãòå-íàäêîëåííîãî ñèíäðîìà,
FC - âêëþ÷åíèå â ñåìåéíûé àíàëèç âàðèàíòîâ õðîìîñîìíîãî ïîëèìîðôèçìà, íàïðèìåð, ãåòåðîõðîìàòèíîâîãî ðàéîíà äëèííîãî ïëå÷à 1-é õðîìîñîìû ïðè êàðòèðîâàíèè ëîêóñîâ ãðóïï êðîâè Äàôôè, (Duffy).
2. S - àíàëèç ñîâìåñòíîé ñåãðåãàöèè êëåòî÷íûõ ïðèçíàêîâ è õðîìîñîì â êëîíèðîâàííûõ in vitro ãèáðèäíûõ ñîìàòè÷åñêèõ êëåòêàõ.
3. M - ïåðåíîñ ãåíîâ â ñîñòàâå ìèêðîêëåòîê (microcell mediated), íàïðèìåð, ïðè êàðòèðîâàíèè ëîêóñà êîëëàãåíà (COLA1) â õðîìîñîìå 17.
4. Ñ - ïåðåíîñ ãåíîâ â ñîñòàâå õðîìîñîìíûõ ôðàãìåíòîâ (chromosome mediated), íàïðèìåð, ïðè êàðòèðîâàíèè ãåíà ãàëàêòîêèíàçû ñ ìàðêåðîì-ñîïåðåíîñ÷èêîì- ãåíîì òèìèäèíêèíàçû.
5. R - ðàäèàöèîííîå îáëó÷åíèå êëåòîê ÷åëîâåêà ñ ïîñëåäóþùèì «ñïàñåíèåì» èõ îò ãèáåëè ïóòåì ãèáðèäèçàöèè ñ íåîáëó÷åííûìè êëåòêàìè äðóãèõ âèäîâ (ìåòîä ðàäèàöèîííî-èíäóöèðîâàííîé ñåãðåãàöèè ãåíîâ â êëåòî÷íûõ êóëüòóðàõ Ãîññà-Õàððèñà); ñ ïîìîùüþ ýòîãî ìåòîäà áûë ïîäòâåðæäåí ïîðÿäîê ãåíîâ â äëèííîì ïëå÷å Õ-õðîìîñîìû.
6. À - ãèáðèäèçàöèÿ ÄÍÊ-ÐÍÊ èëè ÄÍÊ- ÄÍÊ íà õðîìîñîìàõ in situ; íàïðèìåð, ïðè êàðòèðîâàíèè ãåíîâ ðèáîñîìíûõ ÐÍÊ â àêðîöåíòðè÷åñêèõ õðîìîñîìàõ è ãåíîâ ëåãêîé êàïïà-öåïè â õðîìîñîìå 2.

Ïðèëîæåíèå 9 247

Ïðîäîëæåíèå òàáë. Ï.9.5

7. HS ÄÍÊ/êÄÍÊ ãèáðèäèçàöèÿ â ðàñòâîðå («êîò-àíàëèç»), íàïðèìåð, êàðòèðîâàíèå áåòà-ãëîáè-

íîâîãî ãåíà â õðîìîñîìå 11 íà îñíîâå àíàëèçà ÄÍÊ, âûäåëåííîé èç êëîíèðîâàííûõ ãèáðèäíûõ êëåòîê.

8. RE - ðåñòðèêöèîííûé àíàëèç è ðåêîíñòðóèðîâàíèå ôèçè÷åñêîé êàðòû ðàéîíà, íàïðèìåð, â

ñëó÷àå êëàñòåðà áåòà-ãëîáèíîâûõ ãåíîâ (ÍÂÂÑ) â õðîìîñîìå 11ð èëè â ó÷àñòêå ôèçè÷åñêîãî ñöåïëåíèÿ òðåõ ôèáðèíîãåíîâûõ ãåíîâ â 4q èëè â ñëó÷àå êëàñòåðà àïîëèïîïðîòåèíîâûõ ãåíîâ ÀÐÎÀ1, ÀÐÎÑ3 è ÀÐÎÀ4 â 11 q:

à) â êîìáèíàöèè ñ ìåòîäîì ãèáðèäèçàöèè ñîìàòè÷åñêèõ êëåòîê, íàïðèìåð, â ñëó÷àå ÍÂÂÑ â 11ð;

á) â êîìáèíàöèè ñ ñîðòèðîâêîé èçîëèðîâàííûõ õðîìîñîì, íàïðèìåð, â ñëó÷àå êàðòèðîâàíèÿ ãåíà èíñóëèíà â ðàéîíå lip; (âêëþ÷àÿ ìåòîäèêó LEBO ñ èñïîëüçîâàíèåì äâóëó÷åâîãî ëàçåðíîãî ñîðòåðà õðîìîñîì è äîò-áëîò-ãèáðèäèçàöèè êàê ïðè êàðòèðîâàíèè ãåíà Ì-ôîñôîðèëàçû ãëèêîãåíà (PYGM) â llq).

9. D - êàðòèðîâàíèå ñ ïîìîùüþ äåëåíèé (ñî÷åòàíèå õðîìîñîìíîé äåëåíèè è ôåíîòèïè÷åñêèõ

ïðèçíàêîâ ãåìèçèãîòíîñòè), ñ ïîìîùüþ òðèñîìèé (íàëè÷èå òðåõ àëëåëåé âûñîêîïîëèìîðôíîãî ëîêóñà) è ýôôåêòà äîçû ãåíà (êîððåëÿöèÿ òðèïëèêàöèè ÷àñòè èëè âñåé õðîìîñîìû ñ 50%-íûì èëè áîëüøèì óâåëè÷åíèåì àêòèâíîñòè ãåííîãî ïðîäóêòà); ïðèìåðû êàðòèðîâàíèÿ: êèñëàÿ ôîñôàòàçà-1 (ACP1) â 2ð; ãëóòàòèîí-ðåäóêòàçà (GSR) â 8ð. (Ìåòîä âêëþ÷àåò òàêæå àíàëèç êîïèéíîñòè ÄÍÊ êàê, íàïðèìåð, â ñëó÷àå ôèáðèíîãåíîâûõ ãåíîâ, êàðòèðîâàííûõ â ñåãìåíòå 4q2.)

10. AAS- íà îñíîâå ñðàâíåíèÿ àìèíîêèñëîòíûõ ïîñëåäîâàòåëüíîñòåé áåëêîâ; íàïðèìåð, ïðåä-

ïîëîæåíèå î ñöåïëåíèè äåëüòà- è áåòà-ãëîáèíîâûõ ãåíîâ ñëåäóåò èç äàííûõ ïî àìèíîêèñëîòíîé ïîñëåäîâàòåëüíîñòè ãåìîãëîáèíà Ëåïîðå (Lepore), ñîäåðæàùåãî ôðàãìåíòû îáîèõ ïîëèïåïòèäîâ; (ìåòîä ìîæåò âêëþ÷àòü òàêæå àíàëèç «ãèáðèäíîé» ñòðóêòóðû áåëêà ñ ïîìîùüþ ìîíîêëîíàëüíûõ àíòèòåë; òàê, âûâîä î òåñíîì ñöåïëåíèè ëîêóñîâ MN è Ss áûë ñäåëàí òàêæå è íà îñíîâå èçó÷åíèÿ ëåïîðå-ïîäîáíîãî âàðèàíòà àíòèãåíîâ ãðóïïû êðîâè MNSs).

11. LD - óñòàíîâëåíèå ôàêòà íåðàâíîâåñèÿ ïî ñöåïëåíèþ, íàïðèìåð, â ñëó÷àå áåòà- è äåëüòà-ãëîáèíîâûõ ãåíîâ (ÍÂÂ, HBD).

12. V - èíäóêöèÿ àäåíîâèðóñîì âèçóàëüíî ÿâíîãî èçìåíåíèÿ ìîðôîëîãèè îïðåäåëåííîãî ó÷àñòêà

õðîìîñîìû (èçìåíåíèÿ, âåðîÿòíî ñõîäíîãî ïî ôåíîìåíîëîãèè ñ «ïóôôèíãîì» â ïîëèòåííûõ õðîìîñîìàõ ó íàñåêîìûõ è ñîïðîâîæäàåìîãî àêòèâàöèåé êèíàç); òàêîâû ïðèìåðû ñàéòîâ ìîäèôèêàöèè íà õðîìîñîìàõ! è 17 àäåíîâèðóñîì 12.

13. ÑÍ - èçìåíåíèå ìîðôîëîãèè õðîìîñîìíîãî ó÷àñòêà â ñî÷åòàíèè ñ õàðàêòåðíûì ôåíîòèïîì, íî

ïðè íåóñòàíîâëåííîì ñöåïëåíèè (ìåòîä FC) èëè íåâûÿâëåííûõ äåëåíèÿõ (D) è âèðóñíûõ ìîäèôèêàöèÿõ (V); íàïðèìåð, îòñóòñòâèå ñåãìåíòà 13ql4 â íåêîòîðûõ ñëó÷àÿõ ðåòèíîáëàñòîìû. Ê ýòîé ãðóïïå ìåòîäîâ îòíîñèòñÿ è àíàëèç «ëîìêèõ» (ôðàãèëüíûõ) ñàéòîâ â õðîìîñîìàõ. Íàïðèìåð, ôðàãèëüíûé ñàéò â ñåãìåíòå Xq27 ÿâëÿåòñÿ ñïåöèôè÷åñêèì ìàðêåðîì îäíîé èç ôîðì Õ-ñöåïëåííîé óìñòâåííîé îòñòàëîñòè. Ôðàãèëüíûå ñàéòû ïîëåçíû êàê ìàðêåðû â ñåìåéíûõ èññëåäîâàíèÿõ ñöåïëåíèÿ, íàïðèìåð, FS16q22 è ãàïòîãëîáèíà.

14. ÎÒ - öåíòðîìåðíîå êàðòèðîâàíèå, íàïðèìåð, ïî äàííûì î ñöåïëåíèè ôîñôîãëþêîìóòàçû-3

(PGM3) ñ öåíòðîìåðîé õðîìîñîìû 6.

15. ÅÌ - èñêëþ÷àþùåå êàðòèðîâàíèå, ò.å. ñóæåíèå âîçìîæíîé îáëàñòè ëîêàëèçàöèè ãåíîâ ïóòåì

èñêëþ÷åíèÿ ðàéîíîâ ãåíîìà, ïîêðûâàåìûõ êàðòèðîâàííûìè äåëåöèÿìè. Èñêëþ÷èòü êàêèå-òî ðàéîíû ìîæíî è íà îñíîâå äàííûõ îá îòðèöàòåëüíûõ âåëè÷èíàõ ëîä-áàëëîâ, ïîëó÷åííûõ ïðè àíàëèçå ñöåïëåíèÿ â ñåìüÿõ ñ ìàðêåðíûìè õðîìîñîìàìè è äðóãèìè êàðòèðîâàííûìè ëîêóñàìè; òàê, íàïðèìåð, áûëè ïîëó÷åíû äàííûå â ïîëüçó ëîêàëèçàöèè ãåíîâ MNSs â ðàéîíå 4q.

16. H - íà îñíîâå óñòàíîâëåííîé ãîìîëîãèè (èëè ýâîëþöèîííîé êîíñåðâàòèâíîñòè) ãðóïï ãåííîé

ñèíòåíèè; ïðàâäà, â ðÿäå ñëó÷àåâ ýòî ìîæåò ïðèâåñòè ê îøèáî÷íûì ïðåäïîëîæåíèÿì êàê, íàïðèìåð, â ñëó÷àå âûâîäà î ëîêàëèçàöèè ãåíà Ñ-ïîëèïåïòèäà ëàêòàòäåãèäðîãåíàçû (LDHC) â 12ð, ïîçæå êàðòèðîâàííîãî â 11-é õðîìîñîìå.

Ñòåïåíü íàäåæíîñòè óñòàíîâëåííîé ðåãèîíàëüíîé ëîêàëèçàöèè ãåíîâ â õðîìîñîìàõ èëè ñöåïëåíèÿ ìåæäó äâóìÿ ëîêóñàìè îöåíèâàåòñÿ ïî ÷åòûðåì ãðàäàöèÿì: Ñ - (confirmed) «ïîäòâåðæäåíî»: ò.å. íàáëþäàëîñü ïî êðàéíåé ìåðå â äâóõ ëàáîðàòîðèÿõ èëè â

íåñêîëüêèõ ñåìüÿõ èç ðàçíûõ èñòî÷íèêîâ; P - (provisional) «ïðåäâàðèòåëüíî» («ïîêà óñëîâíî»): ò.å. óñòàíîâëåíî ïî äàííûì èç îäíîé

ëàáîðàòîðèè èëè îá îäíîé ñåìüå;

I - (inconsistent) «ïðîòèâîðå÷èâî»: ò.å. ðåçóëüòàòû ðàçíûõ ëàáîðàòîðèé íå ñîãëàñóþòñÿ; T,L- è ò.ï. - (tentative, in limbo) «ñîìíèòåëüíî», «â àðõèâ»: ò.å. óñòàíîâëåíî ìåíåå íàäåæíî, ÷åì â ñëó÷àå (Ð), íî ðåãèñòðèðóåòñÿ ïî ýâðèñòè÷åñêèì ñîîáðàæåíèÿì.


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2390. Ullrich A., Shine J., Chirgwin J., Pictet R., Tischer E., Rätter W.J., Goodman H.M. (1977). Rat insulin genes: Construction of plasmids containing the coding sequences, Science, 1%, 1313-1319.

2391. Veal A.M. (1965). Intestinal polyposis. Eugenics laboratory memoirs XL, Cambridge University Press, London.

2392. Villa-Komaroff L., Efstratiadis A., Brooms S., Lomedico P., Tizzard R., Naber S. P., Chick W.L., Gilbert W. (1978). A bacterial clone synthesizing proinsulin, Proc. Natl. Acad. Sei. USA, 75, 3727-3731.

2393. Vogel F. (1957). Die eugenische Beratung beim Retinoblastom (Glioma retinae), Acta Genet, 7, 565-572.

2394. Vogel F. (1967). Wie stark ist die theoretische Häufigkeit von Trisomie-Syndromen durch Verschiebungen im Altersaufbau der Mütter zurückgegangen? Zoologische Beiträge, 13, 451-462.

2395. Vogel F. (1973). Der Fortschritt als Gefahr und Chance für die genetische Beschaffenheit des Menschen, Klin. Wochenschr., 51, 575585.

2396. Vogel F. (1977). A probable sex difference in some mutation rates, Am. J. Hum. Genet, 29, 312-319.

2396a. Vogel F. (1985). New DNA techniques-chances and risks for mankind. First Int. Symp. on the Role of Recombinant DNA in Genetics, Crete (in the press, 1986).

2397. VosbergH.P. (1977). Molecular cloning of DNA. An introduction into techniques and problems, Hum. Genet, 40, 1-72.

2398. Wald N.J., Cuckle H.S. (1984). Open neural tube defects. In: Antenatal and Neunatal Screening, Wald N.J. (ed.), London, Oxford.

2399. WardR.H.T. (1984). First trimester chprionic villus sampling. In: Prenatal diagnosis, Rodeck C. H., Nicolaides K. H. (eds.), John Wiley and Sons, Chichester, New York.

2400. Weatherall D. (1984). Gene transfection. A new


Ëèòåðàòóðà 319


step nearer gene therapy? Nature, 310,451452.

2401. Wendt G.G., Landzettel H. J., Unterreiner I. (1959). Das Erkrankugsalter bei der Huntingtonschen Chorea, Acta Genet. (Basel), 9, 18.

2402. Williams D. A., Lemischka I.R., Nathan D. G., Mulligan R.C. (1984). Introduction of new


genetic material into pluripotent haemotapretic stem cells of the mouse, Nature, 310,476-480.

2403. Wood L., Trounspn A. (1984). Clinical in vitro fertilization, Springer, Berlin, Heidelberg, New York.


Ïðåäìåòíûé óêàçàòåëü1)


À (ãåìîãëîáèíû ÷åëîâåêà) II: 15 À2 (ãåìîãëîáèí ÷åëîâåêà) II: 15 ÀÂÎ I: 274; II: 276, 280

- àëëåëè â ìèðîâîì íàñåëåíèè, ðàñïðîñòðàíå-

- íèå II: 328

- àíòèãåíû I: 266, 268 ·

— ÷àñòîòà III: 183-184

- àññîöèàöèÿ ñ çàáîëåâàíèÿìè I: 299

- ãðóïïû êðîâè I: 13, 27, 144, 176, 268, 277; II: 280, 327

----- àëëåëè I: 176

----- è çàáîëåâàíèÿ I: 261; II: 328

----- ðàñïðåäåëåíèå ãåíîâ ñðåäè íàñåëåíèÿ çåìíîãî øàðà II: 336

----- è èíôåêöèîííûå çàáîëåâàíèÿ II: 328

----- ëîêóñ I: 197

----- îòáîð II: 337; III: 180

----- è îñïà II: 334

----- ñèñòåìà I: 170; II: 305

----- äèàãíîñòèêà çèãîòíîñòè III: 213-214

- è íîãòå-íàäêîëåííûé ñèíäðîì I: 198

- ëîêóñ ñåêðåöèè I: 197

- íåñîâìåñòèìîñòü II: 305

- ïîëèìîðôèçì II: 328

- ðàñïðåäåëåíèå I: 261; II: 336 ÀÂÍ àêòèâíîñòü II: 335

Àáåððàöèè àóòîñîìíûå íåñáàëàíñèðîâàííûå III:

91 Àáîðò I: 96

- âîçðàñò ìàòåðè II: 150

- ñïîíòàííûé II: 296, 305

- ÷àñòîòà I: 111 Àáîðòóñ, èçó÷åíèå II: 136

— õðîìîñîìíûå àíîìàëèè II: 240

- ñ òðèïëîèäèåé I: 111

- ôåíîòèï I: 113

Àáñòðàêòíîå ìûøëåíèå III: 47, 84 Àâèòàìèíîç II: 41

Àâñòðàëèéñêèå àáîðèãåíû III: 35, 41 Àâñòðàëîèäû III: 35 Àâñòðàëîïèòåêè III: 5, 28 Àããëþòèíîãåíû I: 210 «Àãîíàäàëüíûé» èíäèâèä I: 99 Àãðåññèâíîñòü III: 29, 58

AgX + - è AgX—âàðèàíòû I: 303 Àäàïòàöèÿ III: 36 Àääèòèâíàÿ ìîäåëü I: 238 Àääèòèâíîå äåéñòâèå I: 298

— ãåíîâ I: 243

- ïîëèãåííîå íàñëåäîâàíèå I: 241, 249

1) Ëàòèíñêèå òåðìèíû ñì. ïîä ôîíåòè÷åñêè ñîîòâåòñòâóþùåé ðóññêîé áóêâîé. - Ïðèì. ðåä.


Àäåíèëàòêèíàçà II: 134, 283

- äèàãíîñòèêà çèãîòíîñòè III: 214, 218 íåäîñòàòî÷íîñòü II: 28

Àäåíèíäåçàìèíàçû íåäîñòàòî÷íîñòü III: 169 Àäåíèí-ôîñôîðèáîçèëòðàíñôåðàçà II: 45, 134 Àäåíîçèíäåçàìèíàçà II: 47, 283

- íåäîñòàòî÷íîñòü III: 155

- ïîâûøåííàÿ àêòèâíîñòü II: 124 Àäåíîìàòîç ìíîæåñòâåííûé ýíäîêðèííûé II: 125 Àäðåíåðãè÷åñêèå ðåöåïòîðû òðîìáîöèòîâ ÷åëîâåêà III: 134

Àäðåíîãåíèòàëüíûé ñèíäðîì I: 179; II: 138; III:

110, 155

Àäðåíîëåéêîäèñòðîôèÿ III: 155 Ad-ñïåðìàòîãîíèè II: 172 8-Àçàãóàíèí II: 47, 194 Àçîòèñòàÿ êèñëîòà II: 262 Àçîòèñòûé èïðèò II: 261, 266 À è Â àíòèãåíû I: 171 Àêàíòîöèòîç I: 266 Àêðèäèí I: 44

Àêðèäèíîâûå êðàñèòåëè II: 263 Àêðèõèí-èïðèò I: 44

Àêðîöåíòðè÷åñêèå õðîìîñîìû I: 62, 229; III: 12 Àêðîöåôàëîñèíäàêòèëèÿ (ñèíäðîì Àïåðòà) II:

- ÷àñòîòà ìóòàöèé II: 162, 164 ÀÊÒÃ, îáðàçîâàíèå II: 65

- âûäåëåíèå III: ÏÎ

Àëàíäà áîëåçíü ãëàç (ñöåïëåííàÿ ñ ïîëîì) II: 375

Àëàíäñêèå îñòðîâà I: 278

Àëêàïòîíóðèÿ I: 26, 35, 159-160; II: 8, 281

Àëêèëèðóþùèå àãåíòû II: 261, 266

Àëêèëèðóþùèé ìóòàãåí II: 264

Àëêîãîëèçì I: 28; III: 55, 116, 120

- ïðîáëåìû III: 55

ðîäñòâåííèêè áîëüíûõ àôôåêòèâíûìè ðàñ-

- ñòðîéñòâàìè III: 126

Àëêîãîëü, âëèÿíèå ïîòðåáëåíèÿ III: 55

- ìåòàáîëèçì III: 116

— ãåíåòè÷åñêàÿ èçìåí÷èâîñòü III: 118

- ñêëîííîñòü III: 55

Àëêîãîëüäåãèäðîãåíàçà II: 283; III: 55, 118 Àëêîãîëüíûå ãàëëþöèíàöèè II: 115 Àëêîãîëüíûé ñèíäðîì ïëîäà È: 360 Àëëåëè GdA è GdB I: 105

Àëëåëü À II: 329

- Â II: 330

- Î II: 331

- íåìîé I: 179

- ÍÐ1 I: 229; II: 366

- ÍÐ2 I: 229

Àëëåëüíàÿ ìîäèôèêàöèÿ I: 157, 172


Ïðåäìåòíûé óêàçàòåëü 321

ãåìîãëîáèíîì ÍÜÍ II: 98 Àëëåíà-Õåðèäîíà-Äàäëè ñèíäðîì III: 67 Àëëåðãåíû I: 294 Àëëåðãèÿ I: 13 Àëëîòðàíñïëàíòàöèÿ I: 213 ALLTYPE ñèñòåìà III: 184… - ïîñëåäîâàòåëüíîñòè I: 143 Àëüáèíèçì I: 26, 160, 179; II: 49 - ãëàçíîé, ÷àñòîòà ðàñïðîñòðàíåíèÿ II: 256 Àëüäåãèääåãèäðîãåíàçà III: 55 Àëüäîñòåðîí II: 139

Ïðåäìåòíûé óêàçàòåëü

- èçìåí÷èâîñòü II: 267 - èíäèâèäóàëüíîñòü I: 26, 31, 35; II: 67, 281 - îñíîâà äîìèíàíòíûõ íàðóøåíèé II: 70 Áèîõèìè÷åñêèå ìåòîäû I: 31, 231

Ïðåäìåòíûé óêàçàòåëü 325

Âèðóñ HVJ I: 200 Âèðóñíàÿ èëè áàêòåðèàëüíàÿ èíôåêöèÿ I: 202 - ÐÍÊ I: 141

Ïðåäìåòíûé óêàçàòåëü 329

- ëîêàëèçàöèÿ I: 202   — â õðîìîñîìàõ I: 132

Ïðåäìåòíûé óêàçàòåëü 333

Äèñîìèÿ I: 110 Äèñïåïñèÿ íîâîðîæäåííûõ I: 290 Äèñïåðñèÿ èçìåðåíèé I: 243

Ïðåäìåòíûé óêàçàòåëü 337

- ðîëü ñîìàòè÷åñêèõ ìóòàöèé II: 207 Êàíöåðîãåííûõ ñîåäèíåíèé ìåòàáîëèçì II: 116 Êàíöåðîãåííîñòü II: 268 Êàíöåðîãåíû II: 116 - ñðåäû II: 218

Ïðåäìåòíûé óêàçàòåëü

— ðåäêèå âàðèàíòû ôåðìåíòîâ II: 170 — ðåïðåçåíòàòèâíàÿ II: 166 — ñïîíòàííûõ, óâåëè÷åíèå, îáóñëîâëåííîå îáëó÷åíèåì II: 243

NADPH II: 21

Íàäïî÷å÷íèêè III: 107 - ëèïèäíàÿ ãèïåðïëàçèÿ II: 138 Íàêîïëåíèå òîêñè÷íîãî ïðåäøåñòâåííèêà (êàòà- … áîëè÷åñêèé ïóòü) II: 6 Íàðóøåíèå áåëêà, àêòèâèðóþùåãî ôåðìåíò II: 6

Ïðåäìåòíûé óêàçàòåëü 345

- íåîáû÷íûå êîëåáàíèÿ III: 126 Íàóêà âûñîêîðàçâèòàÿ I: 10 - ðàçâèòèå I: 10 — «íîðìàëüíîå» I: 11-12, 18, 39 Íåàêòèâíàÿ ìÐÍÊ II: 97 Íåàíäåðòàëüöû II: 220 Íåâðîçû III: 89

ÝÝÃ III: 115

— äâóìåðíîå III: 204 - ýìáðèîíàëüíîå ðàçâèòèå II: 28 Íîðìàëüíûå ÀÂÎ àëëåëè I: 171 Íîðòðèïòèëèí II:… — ãèáðèäèçàöèÿ I: 122, 127

Ïðåäìåòíûé óêàçàòåëü 347

— íåñáàëàíñèðîâàííûõ ãàìåò I: 95 — ðåòèíîáëàñòîìû È: 298 - ðåëàêñàöèÿ II: 323

Ïðåäìåòíûé óêàçàòåëü 349

171 Ïîëîîïðåäåëÿþùèå ôàêòîðû I: 103 — ãåíåòè÷åñêèå àíîìàëèè II: 137 Ïîëîñïåöèôè÷åñêèå ñèñòåìû ìîçãà III: 110… Ïîëÿðíîå òåëüöå I: 60

Ïðåäìåòíûé óêàçàòåëü

- ãåíîâ ãàììà- è áåòà-ãëîáèíîâ II: 78 - è àññîöèàöèÿ I: 192, 271 - èçó÷åíèå I: 198

Ïðåäìåòíûé óêàçàòåëü 357

- èíäóöèðîâàííûå II: 228 Òðàíñâåðñèè II: 191; III: 24 - èíäóöèðîâàííûå ðàäèàöèåé II: 228 Òðàíñäóêöèÿ III: 167 Òðàíñêðèïòàçà… — ðåòðîâèðóñû II: 214 Òðàíñêðèïöèîííûå èëè ïðîìîòîðíûå ìóòàöèè

Ïðåäìåòíûé óêàçàòåëü 361

— ðàê II: 200 — ñèíäðîìû II: 198 - ïåðåñòðîéêè I: 73, 208

Ïðåäìåòíûé óêàçàòåëü 363

- ðåòèíîáëàñòîìû II: 298 - ðåöåññèâíûõ çàáîëåâàíèé II: 349 - ðîæäåíèé ÄÇ I: 277

Ïðåäìåòíûé óêàçàòåëü

- â êðàõìàëüíîì ãåëå II: 11, 281 - äâóìåðíûé II: 287 - çîíàëüíûé ïî Òèçåëèóñó II: 71 Ýëåêòðîôîðåòè÷åñêàÿ ïîäâèæíîñòü II: 20 Ýëåêòðîôîðåòè÷åñêèå âàðèàíòû III: 23

Îãëàâëåíèå


Ýâîëþöèÿ ÷åëîâåêà......................... 5

7.1. Äàííûå ïàëåîàíòðîïîëîãèè .... 5

7.2. Ãåíåòè÷åñêèå ìåõàíèçìû ýâîëþöèè âèäîâ ÷åëîâåêà 7

 

7.2.1. Õðîìîñîìíàÿ ýâîëþöèÿ è âèäîîáðàçîâàíèå 7

7.2.2. Ñðàâíåíèå ñàòåëëèòíûõ ÄÍÊ ðàçíûõ âèäîâ âûñøèõ ïðèìàòîâ 15

7.2.3. Ýâîëþöèÿ áåëêîâ..................................... 17

7.2.4. Ïîëèìîðôèçì äëèíû ðåñòðèêöèîí-

íûõ ôðàãìåíòîâ è ýâîëþöèÿ........................................ 27

7.2.5. Ïîâåäåíèå....................................................... 27

7.2.6. Èçó÷åíèå íûíå ñóùåñòâóþùèõ ïåðâîáûòíûõ ïîïóëÿöèé 31

7.3. Ãåíåòè÷åñêèå ðàçëè÷èÿ ìåæäó ãðóïïàìè ñîâðåìåííûõ ëþäåé 35

7.3.1. Ðàñû....................................................... 35

7.3.2. Áóäóùåå ðàñ ÷åëîâåêà: ñìåøåíèå ðàñ 44

Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà . . 47

8.1.1. Èññëåäîâàíèÿ íà íàñåêîìûõ ... 49 8.1.2. Ýêñïåðèìåíòû ïî ãåíåòèêå ïîâåäåíèÿ ìûøåé 53 8.2. Ãåíåòèêà ïîâåäåíèÿ ÷åëîâåêà ... 60

Ïðàêòè÷åñêèå àñïåêòû ãåíåòèêè ÷åëîâåêà è áèîëîãè÷åñêîå áóäóùåå ÷åëîâå÷åñòâà 142

9.1. Ïðèìåíåíèÿ ãåíåòèêè ÷åëîâåêà ... 142

9.1.1. Ãåíåòè÷åñêîå êîíñóëüòèðîâàíèå . . 142

9.1.2. Ãåíåòè÷åñêèé ñêðèíèíã.............................. 159


 

9.2. Ìàíèïóëÿöèè ãåíàìè................................... 163

9.3. Áèîëîãè÷åñêîå áóäóùåå ÷åëîâå÷åñòâà . 173

Ïðèëîæåíèå 1

Ìåòîäû ïîäñ÷åòà ãåííûõ ÷àñòîò . . . . 181

Ïðèëîæåíèå 2

Àíàëèç ñåãðåãàöèè ðàñïðîñòðàíåííûõ ïðèçíàêîâ: îòñóòñòâèå ñìåùåíèé âñëåäñòâèå ðåãèñòðàöèè, äîìèíèðîâàíèå 185

Ïðèëîæåíèå 3

Ôîðìóëû è òàáëèöû äëÿ êîððåêöèè ðåãèñòðàöèîííûõ ñìåùåíèé, à òàêæå äëÿ òåñòèðîâàíèÿ è îöåíêè ñåãðåãàöèîííûõ îòíîøåíèé. Äðóãèå ñòàòèñòè÷åñêèå ïðîáëåìû è âû÷èñëèòåëüíûé ïðèìåð...................................... 188

Ïðîáëåìû, ñâÿçàííûå ñ òåñòèðîâàíèåì

ñòàòèñòè÷åñêèõ ãèïîòåç......................................... 192

Ïðàêòè÷åñêèé ïðèìåð ñåãðåãàöèîííîãî àíàëèçà ñ èñïîëüçîâàíèåì áîëüøîé âûáîðêè: ïîëíàÿ ãëóõîíåìîòà 194

Ïðèëîæåíèå 4

Ìóëüòèôàêòîðèàëüíîå íàñëåäîâàíèå è ãëàâíûå ãåíû 202

Ïðèëîæåíèå 5

Äèàãíîñòèêà çèãîòíîñòè....................................... 213

Ïðèëîæåíèå 6

Âû÷èñëåíèå êîýôôèöèåíòà íàñëåäóåìîñòè

ïî áëèçíåöîâûì äàííûì...................................... 222


366 Ïðåäìåòíûé óêàçàòåëü


Ïðèëîæåíèå 7

Ìåòîä ïóòåâûõ êîýôôèöèåíòîâ .... 228

Ïðèëîæåíèå 8

Ìåäèêî-ãåíåòè÷åñêîå êîíñóëüòèðîâàíèå: èñïîëüçîâàíèå óñëîâíûõ âåðîÿòíîñòåé . . 232

Ïðèëîæåíèå 9

Ïðèìåðû ðàñ÷åòà ñöåïëåíèÿ.................. 241


Ëèòåðàòóðà......................................................... 248

Ëèòåðàòóðà ê ââåäåíèþ è ãëàâå 1 ... 253

Ëèòåðàòóðà ê ãëàâå 2..................................... 255

Ëèòåðàòóðà ê ãëàâå 3 è ê ïðèëîæåíèÿì 1,

2, 3, 4, 5, 6, 7, 9................................................. 262

Ëèòåðàòóðà ê ãëàâå 4................................ 275

Ëèòåðàòóðà ê ãëàâå 5..................................... 288

Ëèòåðàòóðà ê ãëàâå 6..................................... 298

Ëèòåðàòóðà ê ãëàâå 7..................................... 304

Ëèòåðàòóðà ê ãëàâå 8................................ 306

Ëèòåðàòóðà ê ãëàâå 9 è ïðèëîæåíèþ 8 . . 314

Ïðåäìåòíûé óêàçàòåëü............................. 320

 


 


Ó×ÅÁÍÎÅ ÈÇÄÀÍÈÅ

Ôðèäðèõ Ôîãåëü,

Àðíî Ìîòóëüñêè

ÃÅÍÅÒÈÊÀ ×ÅËÎÂÅÊÀ

 3-õ òîìàõ

Òîì 3

Çàâåäóþùèé ðåäàêöèåé

÷ë.-êîðð. ÀÍ ÑÑÑÐ Ò. Ì. Òóðïàåâ

Çàì. çàâ. ðåäàêöèåé Ì. Ä. Ãðîçäîâà

Ñòàðøèé íàó÷íûé ðåäàêòîð Ì. Ð. Ïîãîñáåêîâà

Ìë. ðåäàêòîð Î. Â. Øàãèíÿí

Õóäîæíèê Â. Å. Êàðïîâ

Õóäîæåñòâåííûå ðåäàêòîðû À. ß. Ìóñèí,

Ë. Ì. Àëåíè÷åâà

Òåõíè÷åñêèé ðåäàêòîð Ì. À. Ñòðàøíîâà

Êîððåêòîð Í. À. Ìèñòðþêîâà

ÈÁ ¹ 6775

Ñäàíî â íàáîð 16.06.89. Ïîäïèñàíî ê ïå÷àòè 18.04.90. Ôîðìàò 70 õ 100*/16. Áóìàãà îôñåòíàÿ ¹ 1. Ïå÷àòü îôñåòíàÿ. Ãàðíèòóðà òàéìå. Îáúåì 11,50 áóì. ë. Óñë.ïå÷.ë. 29,90. Óñë.êð.-îòò. 53,95. Ó÷.-èçä.ë. 42,14. Èçä. ¹ 4/5979. Òèðàæ 38 000 ýêç. Çàê. 786. Öåíà 3 ð. 40 ê.

Èçäàòåëüñòâî «Ìèð»

Â/Î «Ñîâýêñïîðòêíèãà» Ãîñóäàðñòâåííîãî êîìèòåòà

ÑÑÑÐ ïî ïå÷àòè.

129820, ÃÑÏ, Ìîñêâà, 1-é Ðèæñêèé ïåð. 2.

Ìîæàéñêèé ïîëèãðàôêîìáèíàò Â/Î «Ñîâýêñïîðòêíèãà» Ãîñóäàðñòâåííîãî êîìèòåòà ÑÑÑÐ ïî ïå÷àòè. 143200, ã. Ìîæàéñê, óë. Ìèðà, 93.


ÝËÅÊÒÐÎÍÍÎÅ ÎÃËÀÂËÅÍÈÅ

7. Ýâîëþöèÿ ÷åëîâåêà. 5

7.1. Äàííûå ïàëåîàíòðîïîëîãèè.. 5

7.2. Ãåíåòè÷åñêèå ìåõàíèçìû ýâîëþöèÿ âèäîâ ÷åëîâåêà. 7

7.2.1. Õðîìîñîìíàÿ ýâîëþöèÿ è âèäîîáðàçîâàíèå. 7

7.2.2. Ñðàâíåíèå ñàòåëëèòèûõ ÄÍÊ ðàçíûõ âèäîâ âûñøèõ ïðèìàòîâ. 15

7.2.3 Ýâîëþöèÿ áåëêîâ [1988]. 17

7.2.4. Ïîëèìîðôèçì äëèíû ðåñòðèêöèîííûõ ôðàãìåíòîâ è ýâîëþöèÿ. 27

7.2.5. Ïîâåäåíèå. 27

7.2.6. Èçó÷åíèå íûíå ñóùåñòâóþùèõ ïåðâîáûòíûõ ïîïóëÿöèé. 31

7.3. Ãåíåòè÷åñêèå ðàçëè÷èÿ ìåæäó ãðóïïàìè ñîâðåìåííûõ ëþäåé.. 35

7.3.1. Ðàñû.. 35

7.3.2. Áóäóùåå ðàñ ÷åëîâåêà: ñìåøåíèå ðàñ. 44

8. Ãåíåòèêà è ïîâåäåíèå ÷åëîâåêà. 47

8.1. Ìîäåëèðîâàíèå íà æèâîòíûõ. 48

8.1.1. Èññëåäîâàíèÿ íà íàñåêîìûõ. 49

8.1.2. Ýêñïåðèìåíòû ïî ãåíåòèêå ïîâåäåíèÿ ìûøåé. 53

8.2. Ãåíåòèêà ïîâåäåíèÿ ÷åëîâåêà. 60

8.2.1. Èññëåäîâàíèÿ ñ ïîìîùüþ êëàññè÷åñêèõ ôåèîìåèîëîãè÷åñêèõ ìåòîäîâ. 61

8.2.1.1. Ïåðåîöåíêà êëàññè÷åñêèõ ìåòîäîâ (ñì. òàêæå ãë. 3) 61

8.2.1.2. Çàäåðæêà óìñòâåííîãî ðàçâèòèÿ è óìñòâåííàÿ îòñòàëîñòü. 63

8.2.1.3. Èíòåëëåêòóàëüíàÿ äåÿòåëüíîñòü íà íîðìàëüíîì è âûñøåì óðîâíÿõ. 69

8.2.1.4. Ñïåöèàëüíûå ïîçíàâàòåëüíûå ñïîñîáíîñòè è ëè÷íîñòü. 82

8.2.1.5. «Àíîìàëüíîå» è ñîöèàëüíî äåâèàíòíîå ïîâåäåíèå. 86

8.2.2. Õðîìîñîìíûå àáåððàöèè è ïñèõè÷åñêèå ðàññòðîéñòâà. 90

8.2.2.1. Àóòîñîìíûå àáåððàöèè. 91

8.2.2.2. Àáåððàöèè Õ-õðîìîñîìû.. 92

5.2.2.3. Ñèíäðîì ΧΎΥ.. 96

8.2.3. Íîâûå ïîäõîäû, ïðåäëîæåííûå äëÿ èññëåäîâàíèÿ ãåíåòèêè ïîâåäåíèÿ ÷åëîâåêà. 103

8.2.3.1. Ãåíåòè÷åñêàÿ èçìåí÷èâîñòü, êîòîðàÿ ìîæåò âëèÿòü íà ïîâåäåíèå ÷åëîâåêà. 103

8.2.3.2. Ãåíåòè÷åñêàÿ èçìåí÷èâîñòü âíå ìîçãà, âëèÿþùàÿ íà ïîâåäåíèå ÷åëîâåêà. 106

8.2.3.3. Äåéñòâèå ãîðìîíîâ. 109

8.2.3.4. Ôèçèîëîãèÿ ìîçãà: ãåíåòèêà ÝÝÃ.. 111

8.2.3.5. Ãåíåòèêà àëêîãîëèçìà. 116

8.2.3.6. Ôèçèîëîãèÿ ìîçãà: ãåíåòè÷åñêàÿ èçìåí÷èâîñòü íåéðîìåäèàòîðîâ. 120

8.2.3.7. Àôôåêòèâíûå ðàññòðîéñòâà è øèçîôðåíèÿ. 124

8.2.4. Ðàçëè÷èÿ â IQ è äîñòèæåíèÿõ ìåæäó ýòíè÷åñêèìè ãðóïïàìè. 135

9. Ïðàêòè÷åñêèå àñïåêòû ãåíåòèêè ÷åëîâåêà è áèîëîãè÷åñêîå áóäóùåå ÷åëîâå÷åñòâà 142

9.1. Ïðèìåíåíèÿ ãåíåòèêè ÷åëîâåêà. 142

9.1.1. Ãåíåòè÷åñêîå êîíñóëüòèðîâàíèå [71; 90; 101; 129; 136; 149; 205; 2258; 2293; 2323à; 2351] 142

9.1,2. Ãåíåòè÷åñêèé ñêðèíèíã [2256; 2344; 2350] 159

9.2. Ìàíèïóëÿöèè ãåíàìè.. 163

9.3. Áèîëîãè÷åñêîå áóäóùåå ÷åëîâå÷åñòâà. 173

Ïðèëîæåíèå 1. 181

Ìåòîäû ïîäñ÷åòà ãåííûõ ÷àñòîò. 181

Ïðèëîæåíèå 2. 185

Àíàëèç ñåãðåãàöèè ðàñïðîñòðàíåííûõ ïðèçíàêîâ: îòñóòñòâèå ñìåùåíèé âñëåäñòâèå ðåãèñòðàöèè, äîìèíèðîâàíèå [876; 877] 185

Ïðèëîæåíèå 3. 188

Ôîðìóëû è òàáëèöû äëÿ êîððåêöèè ðåãèñòðàöèîííûõ ñìåùåíèé, à òàêæå äëÿ òåñòèðîâàíèÿ è îöåíêè ñåãðåãàöèîííûõ îòíîøåíèé. Äðóãèå ñòàòèñòè÷åñêèå ïðîáëåìû è âû÷èñëèòåëüíûé ïðèìåð. 188

Ïðèëîæåíèå 4. 202

Ìóëüòèôàêòîðèàëüíîå íàñëåäîâàíèå è ãëàâíûå ãåíû.. 202

Ïðèëîæåíèå 5. 213

Äèàãíîñòèêà çèãîòíîñòè.. 213

Ïðèëîæåíèå 6. 222

Âû÷èñëåíèå êîýôôèöèåíòà íàñëåäóåìîñòè ïî áëèçíåöîâûì äàííûì.. 222

Ïðèëîæåíèå 7. 228

Ìåòîä ïóòåâûõ êîýôôèöèåíòîâ. 228

Ïðèëîæåíèå 8. 232

Ìåäèêî-ãåíåòè÷åñêîå êîíñóëüòèðîâàíèå: èñïîëüçîâàíèå óñëîâíûõ âåðîÿòíîñòåé.. 232

Ïðèëîæåíèå 9. 241

Ïðèìåðû ðàñ÷åòà ñöåïëåíèÿ. 241

Ëèòåðàòóðà. 248

Ëèòåðàòóðà ê ââåäåíèþ è ãëàâå 1. 253

Ëèòåðàòóðà ê ãëàâå 2. 255

Ëèòåðàòóðà ê ãëàâå 3 è ê ïðèëîæåíèÿì 1, 2, 3, 4, 5, 6, 7, 9. 262

Ëèòåðàòóðà ê ãëàâå 4. 275

Ëèòåðàòóðà ê ãëàâå 5. 288

Ëèòåðàòóðà ê ãëàâå 6. 298

Ëèòåðàòóðà ê ãëàâå 7. 304

Ëèòåðàòóðà ê ãëàâå 8. 306

Ëèòåðàòóðà ê ãëàâå 9 è ïðèëîæåíèþ 8. 314

Ïðåäìåòíûé óêàçàòåëü1) 320

Îãëàâëåíèå. 365

ÝËÅÊÒÐÎÍÍÎÅ ÎÃËÀÂËÅÍÈÅ.. 368

 

 


ÍÀÇÀÄ Ê ÝËÅÊÒÐÎÍÍÎÌÓ ÎÃËÀÂËÅÍÈÞ

2. Åñëè îáíàðóæèòñÿ, ÷òî â íåêîòîðûõ òàáëèöàõ òåêñò íå âìåñòèëñÿ ïîëíîñòüþ (÷àñòü ñêðûòà çà ðàìêàìè), òî â ìåíþ Òàáëèöà - â Ñâîéñòâàõ âûáðàòü… 3. Ëèòåðàòóðà è Ïðåäìåòíûé óêàçàòåëü íå ðåäàêòèðîâàëèñü.

– Êîíåö ðàáîòû –

Èñïîëüçóåìûå òåãè: Ãåíåòèêà, ÷åëîâåêà, òîì0.068

Åñëè Âàì íóæíî äîïîëíèòåëüíûé ìàòåðèàë íà ýòó òåìó, èëè Âû íå íàøëè òî, ÷òî èñêàëè, ðåêîìåíäóåì âîñïîëüçîâàòüñÿ ïîèñêîì ïî íàøåé áàçå ðàáîò: ÃÅÍÅÒÈÊÀ ×ÅËÎÂÅÊÀ ÒÎÌ 3

×òî áóäåì äåëàòü ñ ïîëó÷åííûì ìàòåðèàëîì:

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Åùå ðåôåðàòû, êóðñîâûå, äèïëîìíûå ðàáîòû íà ýòó òåìó:

Ãåíåòèêà ÷åëîâåêà. Ãåíåòèêà è ìåäèöèíà
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Ïðîáëåìû. Íðàâñòâåííûå êà÷åñòâà íàñòîÿùåãî ÷åëîâåêà. Ñóäüáà ÷åëîâåêà. Ãóìàííîå îòíîøåíèå ê ÷åëîâåêó. Ìèëîñåðäèå è ñîñòðàäàíèå
Ïðîáëåìû... Íðàâñòâåííûå êà÷åñòâà íàñòîÿùåãî... Ñóäüáà ÷åëîâåêà...

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