Source localisation in EEG: Combining anatomical and functional constraints
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Texte intégral
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(115) W[oy yM:l\ s 6d1s1k(vyz tmktms kwkp*l\[lXys:s1t i t ki kXsukws1pS1lmk1n1tmp\pd(k1Q
(116) /k s:Wt[ i l s k l\Qpdn(t )XkM Qp\krl\ klmtmAt pSi l5kolmhi k pS6 ko pl s kwt X) p rl i ykMt i kMl\yQk hi kwks1skv1zyksut
(117) yskktmp\yzs kwt\ 6 pSk 6 t\l slmkwpSkl )wys1t i 1y?1yzp\tmkkl\lIlm)t\yt s1i kx t 6 Qw ky l\ p\hkiQkwkp\suk5t\6 lp\)kxt is kQsowt yi s1k s lmt pS1k lmt\p\s kw1s l i t\ylmkQa6 zs ?p)t i tki lmkQn11pS Yp kwp\snk6sut pSsuyzt\kwpSlms k s,t i kol i yznYk d6 t i ks kwt X) p j ' p\kot\y ks 6 p\ e" yr up+ s1lmk5[ q q ^ . . . h i kc' p*) yzpSH+&p\(k ldy ml\Qn(k&kktmp\yzs kwt\Xn1p\(k t i yztwysxYkXk Xrn1p\kl\lmkxys1 lmk7)t i "eyXP)Xk" lMkv1yzt\s1l5 / t\l 1w1t [klMs^Qr ks Qt i k 1Qk s111tmp y i 1ys i ky ys1^t i kQlm pSkl t i kQs k p\s1ydyt\rt [e 6 t i k 1pSys&/ t lMt i 1l s kkl\l\yzp*[etm 1s1 kwpSlmt\ys1 kwp\kw1pSy ys1yztm1 [%ys1 t i k,s1yzt\ p\k? 6Ms k p\s1y yt\rt [tmlmk:t i k ' p*) yzpS +&l\wp\y(n k!1 k1l 3 i s1ylok.Ytkwi kksp\kklmt\yzyzt\(s1l il ikn t Yi kwk t )X/ sukwks kwpSlm1kpSyn1p\s (kkktmpSwwyys Yyk?t\yzrn1n1t [Kp\yys1 i Kk kk9tmp\s /yzsuzs yl\kwt\k Qkyl\ p\kQksut\l 6 t i k kktmp\yzs kwt\ !1k?wys:s1a [YkM1t\ys k 6 p\ y tmksv1YkwpX 6 lmks1lmpSlset i k l\wyn Ays1et i kwp\5k 6 p\kxt i kxlmn(yzt\y s !1 pSyzt\se 6 s k p\s1y yt\rt [ J IK Yk? kwtmkwpSs k1s1v ka [^a 6 (ylmks b bc\ys1 cSp ",bc\ p\kpS1s lys k j9M1s k q 8r hi k !1pSlmtXt i kwp\kwt\wyYn(yznYkwp W) i i lmt\yztmkt i yzt t i k sukwpSlmk n1p\(k vkl s t i ykoy 1s1v k lm t\s d) ySl )pStmtmks W [ s k i t 8 ^ . hi k,y 6 1s1v ks kl\l s t i kesukwpSlmk n1p\(kl1lmtmpSyztmk:W [yl\Qn(k k X yQn(ks !1 p\k!
(118) / s,t i ll\Qn(koQr k t i klm pSk lXp\kwn1p\klmksutmk:W [?yQl\s k(yztmtmkw*p [(ys1?t i k s111tmp 1Qk W [s k p t )Xp\kl\lmtmpS5l hi k 6lmkw pSpMkdl s kw)t )Xt ip yrl p\ki l\ylmt\kys1t ikMk l\y6Qw k hi/ skwkpSs1 kws:p ktmvQ1zyykk sutt i
(119) Xk ys,sukkwpSklmkMtmp\n1p\(yzks kwt\)X1 k6(pSnYklmk 6&r t l t\t lMi 1s l s kkl\l\yz*p [:tmQnYlmk y11t\s1y s1lmtmpSysut\l st i klm t\s. . . ~ } < } $ } ~>=X # ? hi k1pSyss1l\lmt\l 6 t )X i klmn i kwp\kl lmkwn(yzpSyztmkW[.t i ks t\11s1y#!(l\l\ p\k hi k i k lmn i kwp\kl?yzp\k 6 p\t i kwp:1r k sutm%YklW[ t )X kwkwn !(l\l\ p\kl
(120) t i k ys11 !(l\l\ p\k^w t\l kwp\t\wya [t i k tmkwp n(yzp\t 6dYt i:i klmn i kwp\klXys1?t i kxW[rrys !(l\l\ p\kMl yQlmt i pS wsut\y hi kwp\kxyzp\Ek 6 p Ykls,ky ii ya 6 6t i k p\tmk X
(121) 6 p\sut\y An(yzpSkwt\y (tmkQnYpSydys1erwwn(t\y ylo kwn(tmks !1 p\k! .W b y i Yk yl\l\1Qkl lmnYkw !(E 6 1s1t\s1l5 hi k tmt\y&l\ p*6 ykQ 6 t i k p\tmk Xel yzY to `zw i i a [S6 k su tmk tm !1ts:t i kl r1YQn(yzp\t\Qksu5t hi ks k p\s kl ys1y1kl&yzp\kt i kn1pSs1wn(y (11s M(r rl 6 t i k1pSys hi kwp\kyzp\k yzY t w # w s k p\s kl st i k 1pSys zys1xt i 5k [xyzp\k zylmt\a [o t\sv1Ykwp\kxW [t i k yvk5l hi k yYklXks1l\ p\kMt i k n i [rl\wyYlmtmpS1t\ p\kM 6dt i k 1pSys vt i k n1p\nYkwp s1ksutmpSyzt\s 6 s1l ys1Qt i k tmpSys1lmnYp\t 6At i ksv tmpSksut\l Ykwt )Xkwks(vrxkl\lmkl ys1 1pSys t\l\l\ k 9k p\s1l&yzp\k t i k % % %. . . .
(122) w.
(123) . ' hi k p\i k,k ! . lm
(124) n i hkwi p\kk l 1yzpSp\yk&s.6 p\t is1kwl\plmt\1l r 6X kt )X? sui tmQkYlmn kil kwWp\[klMt )Xlmkwn(yz pSkwyzkwtmn k!(l\Wl\[e p\tki l k
(125) &ti s k t\11ys1s11y# !(!(l\l\l\l\ p\p\k k w t\l kwp\t\wyae[ t i k tmkwp n(yzp\t 6 Yt ii klmn i kwp\klMys1^t i kW[rrys !(l\l\ p\k l yQlmt i p wsut\y hi kwp\kyzp\kS6 pYkl sky ii yaX6 6 t i kp\tmk X
(126) %6 p\sut\y n(yzpSkwt\y tmkQnYpSy&ys1 rwwn(t\y j+ t\ p\kl t\y ks 6 p\ "e kyt i / s1l\ i t
(127) i tmtmn
(128) ) ) )% yy/yl\l\s p\ . sn6 pSyzt\s n1p\rkl\l\s 1s1t\l 6 t i kx1pSys hi kxkdYr1klys1^ ks1 pStmkl 6&t i k s k p\s kl yzp\k 6 1s1 s t i kp\5k [%yztmtmkwp d) i i s1lmt\t\ tmkl t i kt i s% tmkwpy[kwp 6Mt i kp\tmk X ys1 t i kl\ p\t\wy lmtmpS1t\ p\kl kot i kot i yyx1l5 hi kosutmkwpSp 6 t i ko1pSyslyzp\ka[:rww n(k W[s kwp\+k !11p\kl wyk ) i tmk?yztmtmkwpQYkwy1lmk? 6t i k:1[rks1yztmk%yzn1nYkyzpSys1k: 6t i k:yXrs1l t i yztMs1lmt\t\ tmkt 1lmkwk !1 p\k! wn hi klmkoy Xrs1ls1s ktM1 Ykwp\ksutp\t\wy yzp\kyl (nYl\l\(a[s 1 Ykwp\ksut i klmn i kwp\kl (ys1,Ykwt )Xkwks^t i kxp\tmk X.ys1,t i k l\ p\t\wy lmtmpS1t\ p\k5l hi klmt\1n [ 6 t i k kktmpSwy yt\rt [? 6 t i k 1pSys kwnYks11l lmtmp\s a [sep\t\wy ys1yztm1 [
(129) k1yzp /kwk lmtmpS1t\ p\kl kwtmkwpSs k i ) s k p\s1y kktmpSwy yt\rt [n1p\r11klyp\ l\n( w p\p\ksutlm pSkl kwtmkt\yz(k t\l\ k t i k i ky t i korwy kktmpSwy s111t\rt [:s ( ks1klXt i klm t\s: 6dt i %k 6 *p ) yzpSn1p\(k t i kys1yztm1 [% 6t i k1pSys yztQt i k,l\1wyXkwk wys Yk1lmk%s t i k,s1lmtmpSysut 6t i k sukwpSlmk n1p\(k lm t\s hi kxks kwpSylmtmpS1t\ p\kx 6 t i k i kylMpSyzt i kwp Qn(wyztmk hi kx1pSys^l l\ p\p\1s1 k,W[ t i sQk1pSys kl ys1?tXsut\ys1l ksutmpSwkl !(k )t i kwp\kw1p\ /lmn(s1y (1 hi kMl r1 ul\wyn ys1%t i kwpn(yzp\t\l 6Mt i k i ky 5k [kl Xkl\lmkl Xs kwp\kl kwt\ xn1p\klmksutQzyzpS1lxt [vnYklQ 6Mt\l\l\ kl ys1wyrt\kl 6 1 Ykwp\ksut kktmpSwy s111t\rt [ ylwysYk lmkwks,s !1 p\kQ! wnc",p\kwckwpt i k kktmpSwy s111t\rt [? 6d1pSys:t\l\l\ k l i i a [ys1lmtmp\n(
(130) s111t\slo wQt\Qkl Ykwtmtmkwp ys ?ys^y Xrs !11p\kot i yses,t i ktmpSys1lmkwpSlmkx1p\kt\s "eyr u + s1lm5k [ q q ^ hi klmk Qn(wyzt\s1lxyzp\k?ks kwpSya [s p\k yl &yztxt i k?n1p\klmksutt\Qk &txlQnYl\l\(k tmQkyl\ p\k yww pSyztmka [ t i k kwt\yl 6 t i ks111t\rt [:ys1,tmt\y kxt i kn1p\nYkwpSa [sutmyw1sut s^t i klm t\s^ 6 t i k 6 *p ) yzpS^n1p\(k "eyzpSs jIlfmEoKp & q q 8 1l zyQn jIlfmEoKp & q q q hi k i ky:l&t i 1l 1l\1ya [ Qr kkyl yxlmkwtX 6 s1ksutmpS i Qks kw1lX1Qk s111tmpSl
(131) t i k 1pSys Qn1pSl\s Mt i k ) i tmk ys1 p\5k [Qyztmtmkwp ut i kl r1vys1Qt i kl\wy>n &vQkwt\Qkly 6 p\t i 1Qk (t i kxkwp\kw1p\ /lmn(s1y (1y [kwp Aly1 k,s,t i kQr k Ykwt )Xkwkset i ko1pSys,ys1el r1 1Q k s k p\s kowysYk 1r k?sutmQt i p\kwkys?n(yzp\t\l 1yll i )s+s !1 p\kQ! ^
(132) &t i kokYYrn [. . . . . . !.
(133) ^.
(134) . 't i k i p\kk y !%w
(135) cuX1p\s ks1dy 6M 1k56 [t &h lmk t\)Xks i yztmt kt i k" kwkA yz6 tk i k hkyzi pSk?l yp\s1k5[ ? ) l\yzi tmt\k:y pSyztm tmi kwtp 1lmklmt\t\s1s t\ s s kyzpl wkyzpSa[ rl\(k set i kxp\s1ydlmkt\s hi kxQn(k X t [: 6t i k i kyeys1yztm1[^lkwr ksuts t i kl\yzt\y lmkt\s. * 5. k vs 1wk1l lXt i k n1p\rkl\lmp 1t i k ks1 pStmkl vt i p\ky1kMk Xrtmks1l\s1l p\kkrs ^lmt\x1 6 p\Zt i kwpQs k p\s kl &yzp\k?t i k p\kkkwpSl Xt i k:yXrs &y.l\s ks !11p\k wyzp\p*[rs Mt i k Qn(1lmk 6 p\ t i k lmyMtm t i kwp&kl ldt i k tmpSys1l\tmtmkwp P/ sxt i k p\k5[yztmtmkwp t i kQs k p\s kl yzp\kxp\ys1lmk.s^y [kwpS5l hi p\kwkxn1pSs1wn(y t [vnYklM 6Xs k p\s klMyzp\kH6 1s1^set i k p\tmk X
(136) lmtmkyztmk lmn(s11kys1^Wn [vpSy1y k5l hi k yztmkwpoyzp\kQQnYp\t\ysut 6 p t i kQl\wyn.kk tmp\n i [rl\ [Ykwy1lmkMt i kp yzn(wyY ks1 pStmkl&pS1sn(yzpSyk1tm ky i t i kwp t i p\ i t i k y [kwpS5l rs1kot i kkwQkwtm*p [e 6&s k p\s kl1t\yztmklt i kpSksut\yzt\se 6t i kxw p\p\ksut 1 ) (t i kp\kl\1t\s kktmpSwy w p\p\ksut 1 )s t i p\ i t i lmkxp\kw1yzpSa [:p\ys1lmk^ ks1 pStmkllnYkwp\nYks11w1yzp tm t i k p\t\wyYl i kwkwtX 6 p\5k [yztmtmkwp hi kM ks1 pStmkl&ys1t i k lmy i yk t [vn(wya [ t i 1l\ys11l& 6 l [rs1yzn(lmkl s1s kt\s1l d6 p\ t i kwpMs k p\s kl P6 pSs y i ka [:Qn(wyztmk,s kwt )Xp txp\klmt dt i k?s1l\ k 6 t i k?k los kwyzt\ka [nYyzpSlmkp\kyzt\ktmet i k t\l\ k )t i ys sutmpSyk1yzpnYtmksut\y 6 yzY t 2 E i ks.ys^yt\s.nYtmksut\y + tmpSykl ys t i k yXrYkwspSyz tmk6 7 t i 6 p\kn1p\kt l i [rkQs1yzl [rn1s1t\yzn(lmkQksuytms1:t i p\kQkyl [ri s1kyzl n1yet\xl [rs1yzyz>n n1t\hi tmkwkpSlmkQQs1y k wtm1pSyks1l l\yztmt\tmytm kwi p tQi kkwlm1kklkl yztmp\k p\kkwn1tmpSlM 6&t i knYlmt\l [rs1yzn1t\k (nYks1s lmnYkw !(os^ i ys1s klt i p\ i t i k Qk1pSys k hi kMp\kl\1t\s 1 )K 6 s1l ys1a [ ys1 & i ys kl t i k Qk1pSys kMnYtmksut\yAs t i konYlmt\l [rs1yzn1t\ k hi l kwksutkl pSlmk tmt i k nYlmt\l [rs1yzn1t\ nYtmksut\y p + P +I hi 1k + P +Cll\y:tmYk k X wt\yztm*p [ jb + P + a 6dt i kk1yzpQk1pSys kl kwnYyzpSlmk t i k sutmpSyk1yzpQnYtmksut\y YkQklkl\ls kwyzt\k p?s i (tm*p [ / + P + a 6Mt i keQk1pSys kel i [vnYkwp\nYyzpSlmk t i kQsutmpSyk1yzpMnYtmksut\ydYkQkloQp\kQs kwyzt\k Hb X wt\yztm*p [^l [rs1yzn(lmkl plmy 1sut\ys1s t i. . ' &' "%$. . .
(137) . .
(138) . ; !#+)*I2MC. "?%1I 67?."&%965 !1'Y!10& $".-'%1+ );$!5<-" 9<=.2 @!5<-3 5 +-S @-8- I24 &%( !#+)`V %1 $ 65! X9Z#Z C&%1 _L[\L.
(139)
(140) .
(141) . `.
(142). !
(143)
(144)
(145) . 't i k svp\1k?w !k1^
(146) l v l s t ik kp\n1s p\kxryks1l\elmpt\lrt t i i p\k kwkx kn1s1pS s1pSwtmn(kl yuYt n(i yzp\p\kt\yl 1
(147) ti kk k Xrktmk s1Yl\rns1[ l p\ kp klmrs xy lm t\xsu1t\yn6 s1p\s t i kwpXs k p\s kl vyzp\kt i k p\kkkwpSlrt i kyrX s vyl\s k s !11p\kwyzp\p*r[ s t i kQn(1lmkd6 p\ t i klmyQtmt i kwpkl 1l t i k tmpSys1l\tmtmkwpP zy p\kks kwpSya[rwyztmkst i k? ks1 pStmkl ) i k t i k?s i (tmp*[el [rs1yzn(lmklyzp\k 6 tmks yztmt\y i k tm t i k.lmyt\lmka6 i ksCt i k.sutmpSyk1yzpQnYtmksut\yp\ky i kl:lmQk^t i p\kl i t [vn(wya[ yzp\1s1 w ut i ks k p\s k !1p\klysyt\sQnYtmksut\y i ksQt i k k X wt\yztmp*[s n( tdYkQkl lmtmp\s kwp Xt i keyQn(t\1 k? 6Mt i k,yt\s nYtmksut\y p\kys1l t i kel\yQk( t t i k 6 p\kv ks1 [ 6 !1pSs Qs1p\kylmk5l i ks.ys^ +Kp\ky i kl y?l [rs1yzn(lmkxys1eks kwpSyztmkl y + P + At i k s1l 1 ) wy1lmkl ys^kktmpS !1kys1?yxw p\p\ksutXys t i k sutmkwpSp 6 t i kMnYlmt\l [rs1yzn1t\k hi kMlmtmp\ks t i 6 t i l w p\p\ksut lm pSk: kp\kylmkEl )t i t i k?1lmt\ys1k 6 p\Zt i k?l [rs1yzn(lmk( t I6 p\s 6 yzp y ) y [ txlonYkwpSkk i i yl y^w p\p\ksutx1nYkQpSksutmk%ys et k: ks1 pStm k 73 st k:sutmpSyz*p [t i k: + tmpSyklQys t i k:y Xrs )t i 1s1yztmtmksv1yztmk%yQn(t\1 kQYkwy1lmk? 6yt\k:k X i ys kl 6s1lt i p\ i t i k y1XrnYskQl k)i 1pS yi s k l khvi1kzQykcsurts tmo yo+ v1wyy sQpSY nYkyzn1 k n1p\h X i k t yzi tmp\kkwQkW [ yt s)Xo1 Yn1kwnYp\ks1l\tmkkla [Ykwt pS)Xkkwsuktms k+ wP +p\p\yks1su t +Cyzp\k
(148) ! &t i kpyQn(t\1 k rys +Cl yzn1n1p\ X yztmka [^ wQt\Qkl yzp\kwpt i ysy + P + (W &t i kp t\Qk pSlmk & w zl 6 poy + P + ys1^s1a [,yzY t l 6 p ys + lmkwk !1 p\k:! ` ys1_ .W t i kpkv1zyksutw p\p\ksutlm pSkoQr k 1yQ1nYk 6 pSy + P + ys1,yv1y pS nYk 6 pys, +I hi k w p\p\ksut lm pSk ys1^kktmp\yzs kwt\ !1k,ks kwpSyztmkW [ey?l\s Ek + P +Kp + l r1l\a [s tlmtmp\s Qks i tmQYk kwtmktmk,st i kol\wy>n hi k kktmp\r kl1lmks:l\wy,n b bc\ yzp\k?yzp\k y 6 5k ) Qkwtmp\kl s1yQkwtmkwp Mys1p\kQtmk dt i 5k [wyss1a [. kwtmktxl\1Qky t\rt\klM 6 y:yzp\ksv1Ykwp 6Xs k p\s k5l hi kxkktmp\yzs kwt\ !1k^ks kwpSyztmkW [^y1nYyzp lm pS k kSy + P + kp\kylmkl )t i 1lmt\ys1kyzn1n1p\ X yztmka [yl AQp\kl\ )a [?t i ys,t i k / kwnYks1 ksut !1k 6yv1y pS nYyzplm pSk koyse + / spS kwptmYko kwtmkt\yz(k (t i k s k pSyryt\rt [ x1lmtl\16 n k wksut\a [t i 1ldt i k t\Qk pSlmk 6(t i k w p\p\ksutlm pSklx1lmt Yk ckwpSyzn1n(s n ZXkwy1lmkM 6Yt i kp kw*p [l i p\t&t\Qk pSlmk rl [rs1 i p\s 1&l !1pSs 6 + lXl&1s1 ka [ ( tot i k?s ,t\Qk pSlmk 6 + P + y )lot i ktm^l\ nYkwp\nYlmkQtmkQnYpSya [ hi kwp\5k 6 p\k dkwks t i i + l yzp\kox1 i yzp\kwps:yQn(t\1 kt i ys + P + l t l ywkwn1tmkt i yzt t i &k + P + yzp\k t i k. .
(149) 2.
(150) . . .
(151)
(152) .
(153)
(154) . ' y;61 s1p\k:t\ !s^`
(155) 6Xt\nYQlmk t\l [rhs1i yzkwn1p\t\kQ y:nYt i tmp\kkwsukt\y yjm+ poP+ 1 YAkwk5p\k6 t s1 yks1l ^Ykwyt s^)Xkwykst\y s^+ nYP+ tmksuyt\s1y y s + + A
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