Le modèle probabiliste de l'alignement local de deux séquences
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(162) !" #$ %&')( *% $" . U. ' [ P[TV`YQVZeHÆO nRH % â HJZ %@wHJPRZ g [ ÓS§ PeHdX^eH"T6[_qH O g QVHnR^Cm g HJIQVH g Z H g I/HnRH,TaH O dX^[8ZQSUiP LRyÆY9UiPqXH g WXHmUX^ g $ # $ 1 sXe(UX^_#mUX^eXUXP_znRUXPY,[8memRTcQ6dX^eH g T6[Km g UXm g QJHJO ZH,O pHJP[Q6_ [8PRZ'#² sne[8P_2TaH O dX^[8ZQSUiP)LRyqY9Hdi^RQ PeUX^_znRUXPePeH,TaH O dX^[ ZaQVUXP Lipe f UX^ g T6[I HJ§ I/H g [\Q]_UXPGRT6[1TcQVIQVZ H/nRH 0/ # å ¢ _J UXbeZaQVHJPqZ(HJP[Q6_ [8PRZ # ² sne[ P_2T6[_RH O g QVHnR^I/HJIb g H n g U8QVZnRHTjH O di^[8ZaQVUXP©LXre(UX^_zPeUXZ UXP_ [F PeUi^eXH [8^ di^eH # å ² rmUX^ g r â ²A. GHJZY9UXI/IKHXGn[8^eZ g H m[ g ZePeUX^_[XUXP_ TcQVI 0K # åh¢ ²%TcQVI 0K # å)3yrÅâ'1 .w¢. ! © =! 1 = 5 Ø 1 Ø rÅâ ² 5 h¢ ² 1 Ø rÅâ'1 .w¢ ²%TcQVI rÅâ,² ¢ # ² Z© Ñ Z© Ñ PeUX^_"UXbeZ HJPeUXP_zdX^eH Ø1 r â 1 .w¢ ²%sT_jQHJZ_aHJ^RTVHJI/HJPRZÆ_jQT6[)_UXI/I/H°Ï ! © Ø1 Í © r ¢H _aZQVPR¦PRQVHX PR¦PGHJP[Q6_ [8PRZ ( ² r/ne[8P_ T aH O di^[8ZaQVUXP)L RPeUX^_([ iUXP_ . L E ¢ 0. I[\Q]_. 0. =å â # Ñ. . . ! © # u = Ø @ Í © Û r B > ² H9em < Z© Ñ 5. ! Î ! ! =å â # & 1Ø r â ² ¢ = â # ² = = # ² = Ñ m Ñ m ÎÑ m ÎÑ m Ñ m ! ! = = # ² Ñ . m. Î o . 3. Ø1 r â ². ¢. Ø1 rkâ². ! = ¢² # Ø1 rÅâÃÛ
(163) ¢ Ñ m. m[ g QVPqZH g XH g _ QVUXP)nRH _#nRHJ^R _UXI/I[8ZQSUiP_;3PeUX^_2mUX^eiUXP_#nRUXPY g HO H O Y g Q g H#TjH O di^[8ZaQVUXPL E iHJP^eZaQcTcQ6_ [8PRZ#T6[ m g UXm g Q HJO ZeH,O p1TVU g _dX^eH
(164) #Z HJPnXH g _,sX ! ! ! s Ø Í © Û rR¢ = = = LXx¢ Ø1 r â Û¥¢G¢² 0K r â ¢² H9em < TcQSI # Ø1 r â Û£¢ ¢² 5 > . Ñ. pe * h y. Ñ. m. . G Ã:*. . ©ZÑ . m. a Ì * :* *ou * y
(165) * * ¿ ( * a 4 *6 u :* @ h w * . ( UX^_ g HJiHJPeUXP_ [KF T6[)n2HJO I/UXP_aZ g [8ZaQVUXP m g UXm g HJI/HJPRZÆniQVZ HnRH _z=U g I^RTVH _n = W8TVH E [ g Z ¬V> [ g TQVPwdX^eHKPeUX^_ HJO PeUiPOY9v UXP_Y9UXI/mRT HJF Z HJI/HJPRZ9 C "! ¶n½mÁÄ8µ ¸ # ¼ º ½m¼8»¾ ¸ ¼n¾ ¸ ³ ¼6ÁW¶6½ ºC¸ ¯ Á ¸ ¾G¾ ¸ =Ä ¸ 0K ¯ ¢O1 r!¸ Á Ø1 ¯Û rR¢Û rŸ Á ¯ Ä8µ ¸ ÀÄ8½GÁ ¸%Çn¸ # ¼ º ½G¼8»¾ ¸ À¼6¾ ¸ ³ ¼6ÁW¶6½ ºC¸ À½mµ Ç ¸C³ ¹o¸ µ Ç ¼6µwÁ ¸ À ¸ Á Ç ½ ÀÁ º ½W»Ä ¸=³ ¸ À+·;¶ Êʸ¯ Ë ! ¶6½GÁL¾ ¸ ÀÀ¶ Êʸ À ¹ ¼ º ÁW½ ¸ ¾G¾ ¸ À ÍfÎ ² Ï ©ZÎ Ñ ¯%Î,¸ Á Ô ¢G¢ ¾q¼!À ¸ ·ÁW½m¶nµ Ç6¸C# ¼6¾ ¸ Ä º%Ê ¼ ½ Ê Ä ÊÇ6¸ ¾¿¼ Ê ¼ º ·Æ ¸ ¼6¾ ¸ ³ ¼6ÁW¶6½ ºE¸ Íwe¢. Á ¸ ¾G¾ ¸ =Ä ¸ Ô ¢ ¢ ² I[\k ;Ö © Ö Öo Í ÌÍ © Ë ¼ Ä ¸ Ä ¸°Ç6¸Ç ½ZÀÁ º ½ »Ä8ÁW½G¶6µ Ç6¸NÔ ¢ ¢ ¸ ÀÁ Ç ¶6µtµ ¸=³ ¸}¹ ¼ º ¾¿¼ ¶ º;Ê Äž ¸ pXr¢ f'gÚ Ô ¢ ¢Û TVUXW ¢G¢ ¦®ßoà ² s¡áãä åÅædç Þ. ¶! Ä Â ¾q¼ ·;¶6µoÀÁW¼6µwÁ ¸ Þ ¸ ÀÁ¾¿¼°À¶n¾qÄÅÁW½G¶6µ ¹ ¶TÀ½mÁW½ #=¸Ç6¸ ¾ È ¸ ³ =Äż6ÁW½G¶6µ ¸ µ ( pes ¢ 0#@ á B² s .
(166) U¤.
(167) !" #$ %&')( *% $" . ¸ ÁL¾¿¼ ·R¶6µÕÀÁW¼nµwÁ ¸K+ ¸ À Á Ç ¶6µtµ ¸}³ ¹ ¼ º ¾q¼ ¶ Rº Ê Äž ¸ 9 H m 8LLÏ !Î Ñ Î 0K á , 3ÍfÎH1«rR¢@¦ f'g9 Í@Î r¢ pXL¢ + ² Þ 0¡ ¯¡á , ¢ : ºC¸ Ä #¸ Ë (UX^_#_a^RQVXUXP_2TVH,mRT6[8P)nRHzT6[n
(168) HJO I/UXP_Z g [8ZaQVUXPnRUXPeP H,O [8^m[ g [8W g [8m E HÆsiVsXq(UX^_2Z g [\QSZUXP_#ne[8P_ TVHm[ g [8W g [8m E HÆpe]szTVH}YJ[i_U ^!F ¯ H _aZz^ePeH\[ g Q6[8bRTVH/Y9UXPRZaQVPq^eHXHJZ,ne[8P_$TVHÆm[ g [8W g [ m E HÆpeLÆTSH/YJ[X_(U ^!F ¯ H _aZ^ePeH1\[ g Q][ bRTSH/niQ6_ Y g HJF Z HX(UX^__a^ememUq_aH g UiP_nRHmRTV^_zdX^eH¯ H _aZ [KF _a^ememU g ZY9UXI/m[XY9Z. H _zn
(169) H9O ¦PRQVZaQVUXP_z_aUXPRZY9H9TTVH _,nR^ Z:[8bRTVH [8^ si peVsi $ ,¯
(170) -G peVsiVsX " ¼6¾¿·Ä8¾ Ç6¸ ¾¿¼ Ä ¸ Ä ¸,Ç6¸!Ç ½ZÀÁ º ½ »Ä8ÁW½G¶6µ Çn¸ ¾¿¼,À¶ ÊÊ-¸+¹ ¼ º ÁW½ ¸ ¾G¾ ¸!ºC¸ ·;¶ ºCÇ $1_h ¢ 'nË
(171) UiP_ Q6n
(172) H O g UXP_TVH Z HJ I/m_n[ g g8HJ§ HZ r Y9U g g H _amUXPne[8PRZ [F T6[ m g HJIQ HF g H_aUXIKI/H/m[ g ZQSH9TcTVH)_aZ g Q]Y9ZHJI/HJPqZ1 mUq_jQSZQSiHXnRH\[\TSHJ^ g F n2H9O [8^eZnRH"TVU8Q n _h ¢h² Ø1 r1 } h ¢:G[}Z g [8P_amU ¬ } ² Í n dX^RQAH _aZ^ePeH\[ g Q][ bRTSH[T H O [8ZU8Q g H [/ _ QVZaQVUXPCnRH,TaH O di^[8ZaQVUXP)LipÆnR^CYJ[X_ r â [ ^)YJ[X_ r PeUX^_(nRUXPePeH ! n =. pXp¢ 0 s á 3yr 1 . ² H9m < ©ZÑ s5 0 á f 3Í © Û r > L g g g di^eHPeUX^_#mUX^eXUXP_ H¥O H O Y Q H ! s n =. 0 s á ² H9em < ©ZÑ 5 0K á f ¢ 0 á f 3Í © r > L . !. ² 9H em < = s5 Z© Ñ . p8{ ¢ ². 0 © > 9H em. s K0 á ¢ 9H m. < =. !. ©ZÑ . ! s =< Z© Ñ 5. s 0 á f 3Í 5. 0. ©. á f 3Í © r > r > . P Y E U8Q6_ Q6_ _[8PqZ Þ Z H9T¥di^eH 0K á , ¢h² sX8PeUX^_±UXbeZ HJPeUXP_2[8^_ _ Q 0K á , n 3r 1 .w¢² sXX(UX^_±I/UXPRZ g UXP_ ne[8P_$TVH,TVHJI/I/H_a^RQV\[8PRZdi^G QcTH9RQ6_aZ HZUX^8hjUi^ g _2^eP)Z H9T Þ "! ¶6½mÁuÄ8µ ¸ # ¼ º ½m¼Å»¾ ¸ ¼6¾ ¸ ³ ¼6ÁW¶n½ ºC¸¯ Á ¸ ¾G¾ ¸ Ä ¸ 0K ¯ ¢O1«r¸ Á Ø1 ¯Û rR¢Û«rÅ&1 ¼n¾q¶ º À½G¾ ¸ ½ZÀÁ ¸ Äŵ º ¸³ ¸ ¾ Þ Á ¸ ¾ =Ä ¸ 0K á , ײ s8¢ Ë : ºC¸ Ä #¸ Ë
(173) UXP_jQ]n2H O g UXP_$T6[=UXPY9ZaQVUXP }¢ ² 0/ á ¢:Ui^_[XUXP_ rRL¢ ²%s1HJZ
(174) rR¢L² 0K ¯ ¢41 r3©nRH mRTV^_J Ø1 ¯ Û r¢ Û År zQVI/mRTcQ]di^eH/dX^G QTGH9RQ6_aZ H #HJZ ' mUq_ QVZaQc_ZH9T]_#di^eH Ø1 ¯Û 9L¢ Û ' R(UX^_#[XUXP_ [TVU g _ 0K á ¢ Û 0K á 3U¯ Û ¢ Û£á Ø1 ¯Û 9h¢ ²×á ' - . di^[8Pn j-/. 3 Y9H YQ'HJPqZ g [ ÓV§ PeH,m[ g Y9UXPRZaQVPq^RQVZeHÆO di^G QcTH9RQ]_Z H Lª @ r .'BZ H9T'dX^eH ¢ ² sX P [\Q]_[8PqZ ( ² rKne[8P_2TaH O di^[8ZaQVUXP)pipeRPeUX^_#UXbeZ HJPeUiP_^ePeH1XH g _ QVUXPmRTV^_$¦PeHÆnRHÆL s ! = n p ¢ 1 Ø . s r 1 .w¢h² s .w¢² H9em < s 5 Ø1 Í © Û rR¢ > . ©ZÑ . (UX^_'Y9UXP_ Q6n2H O g UXP_ [zF m g H O _HJPqZATVH g H Y9U g n[8b_aU8TV^ nRH#T6[,I[ g Y E H#[T H O [8Z U Q g H$_^ g@ r 1 h¢ ² Ø1 h ¢:e(UX^_[XUXP_ T aH O di^[8ZaQVUXPnRHÆY9UXPRXU8TV^eZaQVUXP k Ø1 h ¢² Ø1 r ² .w¢u¦ Ø1 8 n : ! < 1 h ,¢ Ø1 } ²£¢ Ø1 r m p !¢ k ² Ø1 r ² .wu¢ ¦ Ø1 8 n : ! < 1 h ,¢ Ø1 } ²£¢6 _h. m. enRHniQ6_aZ g QVbe^eZaQVUXP. 1. .'B. w¢6 ..
(175) .
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