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Anatomically informed basis functions for EEG source localization : Combining functional and anatomical constraints

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(1)

'( ' )* $ $ $ + , $ - - ' . - / $ $ + , $ 0 * $ $ $ + 0 1 $0, 2 2 1 $ 3 4 (, $ 5 - - ,0- $ 1 $6 27 8 27 9 ! " ##$ % & & " " " " '( )* " " " " " " " + " " & + & " + " & ( ) " ' * & , " ( " - " . " +

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(2)

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+ & " " " /A0 " & 3 "

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(3)

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& " 1 & " &

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(4)

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& & " &

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& C 1 & + ! " = A & "

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(5)

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(6)

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+ ,& " & " ? 55 & 1 '( "

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+ " - " # 'A* & " & " 2

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(7)

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(8)

# -- $ + C5* - ; $ -$ C5 $ $ $ K $ 0 $$ ; - K $ $ $ 0 $$ $ $ + $ $ - 0 $ K $ $$ $ $ - $ $ $ + $ # -$ $ - - + $ L + $ - - - $ ?,= G <$B/$/<B + $ $K ++ $ $ - - - H G $ H G " $$

(9)

>? + -$ - - $ -$ ; - $ K $ $ $ 9 K

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(10)

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(11)

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(12)

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G405B 5404AB "" + & &

< < " 3 4BB B04BB 4 4BB 404BB A 4BB A04BB 9 4BB 904BB >

4 BB04 AG 4 AG04 :7 4 :70A BB A BB0A :4 = " &

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&

+ ?#& & # 'AG* @ & " " /#&

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(13)

2 - L $ 2> + $ + $ $ $ - $ $ K $

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(14)

>? + - $ -$ + $K $ 0 -$ - ; - $ K $

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(15)

# $ K $ $ 2 - $

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(16)

2> 5C#> + / ++ $ / + C - $ + $ *+ $ " ,D 4B ,D : ( ) - /#'""* ) " ) AB '7GL* AB '7:L* >>'7:L* ( 1 >'5BL* >'5:L* A7'7:L* ? >'56L* >'4BBL* >'7AL* 409B "" ( 1 AB '7G9L* AB '7B AL* >>'7>AL* ? AB '74 7L* A7'5:7L* >>'7::L* R9B "" ( 1 AB '7>GL* AB '79BL* >>'79:L* ? AB '795L* A7'7A :L* >>'7A 6L* ?# ) " ) 44 B 4B 9 9G ( 1 7A :B >6 ? G: A 6 97 409B "" ( 1 44 B 5: 9G ? 4B 7 7: 9G R9B "" ( 1 44 B 56 9G ? 4B 5 54 9G $ " 9B "" " - " " /# " ?#

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(17)

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

$ , & ,D 4B & & 1 ' * ' *

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(18)

C ?2> C Q + # 5C#> + 5 - G 5 - G ) ,D 4B ,D : ( ) - /#'""* ( 1 4 >'5AL* >'4BBL* 4A '7GL* A >'56L* >'4BBL* >'5>L* 4A '5>L* >'57L* A7'7GL* ? 4 >'57L* >'4BBL* >'57L* A >'4BBL* >'4BBL* >'55L* >'5BL* >'4BBL* >'77L* )? ( 1 4 B :6 B 4G 4 >4 A A AA B 6A 99> ? 4 B 4G4 B B4 B 6G A B 6: B B: 4 G4 ?# ( 1 4 6 A6 :B7 :9> A 556 G>: G4G ? 4 :5: 999 >>B A 6 6G 9>: >66 # $ K $ ;K 2 - $ , " ? & / &

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(19)

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& " & & " , ,D

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$ 45552 ABBB2$ - 1 ? ABBB* & 1

- 0 " -" " " " + 0 " + " - # & - 0 " " " -+ & " + ,D " " " & & 0 " ! " ! " C ,D ? " " , & " " " "

(20)

+ - ,D 1 " @ " " " " " ,D " @ & & " ,D < < + ,D & < < " " < < , " ? & " ,D D " " " , " 1 " " 2& " " " 0 " / " " ' * & " + ( ) " " 3 - " " " , ?

( ) & & & ! &

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& # 'A>* I B A 4G 5 T , " &

I G B 4 >* & B 6: 5GL D IR S " + / $ '4557* " " 5BL I G A 4G & " , " " ,D " " & & " ! & ,D I G 4 1 ( ) @ I

& & & !

+ & & & " - " &

! " - "

" " E & & &

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(21)

##$ , " " & " & " " " " + & " & + & " ! " & " " ' * " @ " " 0 ##$ & + #$ ( ##$ #$ " " " ! " ' $ 45572D $ 4555* & 1 " " " , & " " " " & " " & "" ! " ,D & " + " ##$ & & ' " I # 49 4>* + " I " " " - " " 1 ' + " 45642% 456>* + ,D ! " " E " & & + " C " " @ % ? ABBB " #$ " ! " " :7 4:5046A 34B 4BBG; " ABBB BG4G @ 4556 " " 0 U@ " & 1 G3 AB50A46 34B 4BBG; " 4556 BA5B D 1 $ # $ 456B E ; 5 # - 7;; 4A9045A D ? $ / 4556 @ D " 0 ##$; #$ " *>>> ; 9 > >>3 96>097: D ? $ / $ % 0 4555 " #$ ##$ " " " ! " " *>>> ; 9 > >G3 :AA0:9> D 1 % @ " $ / ? $ 4555 , " " " *>>> ; 9 > >G3 9046 @ ? ,4559 ," " ##$ #$ & , 3 @ T , - :3 4GA046G @ D ? ,4555 0 ,3? " 53 465045> 34B 4BBG; " 557B95: @ / @ D D 1 / D ( / & % # ABBB " " " 3 " , #$ 0 " 7; ::0G6 " @ / ) D 4566 - " " 1 " " " # " T 5 #$ $ # - # 9953 4097 @ ? ? 1 $ 4556 " " & "U,3 *>>> ; 9 > >>3 4495044:: D @ ABBB 1 " - " " " - $ %- #- 1#% 563 44B:B044B:: D ? , @ 4555 0 ,,3, 0 " 53 45:0AB6 34B 4BBG; " 4557B95G 1 & 1 ? !! 4556 E 9 @ -$ @ " ?

(22)

( ( " %@ V + + @ 1 D % 4557 ," " " > -$ - , 0 :<= 590444 $ ? @ 1 % @ ( / & ? @ D ( 455: " & #$ " , ,T , 0 :7 >BG0>94 $ - 1 ? ABBB 9 Q 0 Q 8 3;;&&& $ ! $ ! !@ ? 4557 @ " 0 " *>>> ; 9 > >:3 >>B0>>7 $ ! $ ! !@ ? 4555 D 1 $ " E 9 C 63 4G404G: $ ! % 1 = $ ! !@ ? W % 4556 / & " 1 " " E 9 C :3 >:>0 >G6 $ # 4559 " " " * 53 A640A7> %8"88 ? ," " 455> , " 3 " " " " C 9 > , $ 9A3 9:0>A %8"88 ? ? 4575 " " " " 0 *>>> ; 9 > 9G3 4G:0464 %X"XX ? % ," " / " = W 4559 U+ " & 1 " 5 C 0 G:3 >490>56 % @ 456> D " 9 $ A G43 979097: % @ ? " @ 4556 - " " " " *>>> ; 9 > >>3 5704BA ? 4565 > $ 0*+ $ ; 0 =-? $ ABBB @ " " 443 G:G0 GG6 34B 4BBG; " 4555B:>A / @ D ( @ 4557 ? " " " , " 3 " - $ %- #- 1#% 5:3 75>:075:B " 455: 9 -$ $ - % - $ + 9 $ -9 $ - @ =- E / ( D ?" $ W 1 ? 455> @ 'D#?@*3 @ " > -$ - , 0 543 A5:094B / & ? / 455A " ! " 0 " #$ *>>> ; 9 > 953 :>40::6 ) ! / 4574 > -$ - @ + $ 9 ; 0 - + >>, =- E ) & Y 1 = ! D 1 @ @ " Y 4555 + " 3 , # , , , $ ? 9650954 0 455: "" %X"XX ," " ) ! * # -2 - L $ , $ / - + $ * '( ?1 # * 4G0A7 ,?D#+) & ) G 0 4555 & " ##$ " *$ T 9 -$ 43 6:07G 0 / " 455> / & " " 3 @

(23)

& " ! *$ T 0- 0 473 >50G: % + " 4564 0 1 " & 1 ! 9 $ A :73 :>:0::> 1 455B ? 0 *>>> ; $$ % C - *$ - GA50G95 ABBA ? " ) / , ? ? / " ##$ ? 4569 + " #*%C T % C $ A>3 >690>77 4557 " " " " E 9 C G3 95>0957 4555 " , ; - $ + 2 ' D & % # * 4:09G =- E =-? 4576 D " " " " " 0 C 9 9A3 440AA ? # ? 455> D " " " ##$ , 0 A>3 :40GB ? D + D 4555 1 3 $ " T , 0 4G3 A4>0AA> + 1 @ ) @ W Y 4566 # $ + * ( ) & Y 1 E %8"88 ? ? " # 4555 W ! " " " " " 4B3 469047B 3 4B 4BBG; " 4555B>:> % " ! % / 47:9 E $ ! W 1 ? V" 1V / " @ & 0 1 W % 0 , 753 A440A99 9:>0966 ( " " ) 4555 #$ $ $ - $ - C # CU!! 3;;&&& 1; "; "55 "

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ا ددعل 75 216 ءلايتػػػػسلاا ح ايرػػػػخأو ،ميػػػػلقال ةػػػػثلاثلا ةمػػػػصاعلا ىروأ يػػػػىو ةقيػػػػض ـازػػػػنهاو ،اػػػػهيلع ةنس ينيلاصفنلاا 6757 ـ ( 27 ).. ا ددعل 75 212 2

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ةياور يف بعل يأ نكل ( ءابظلا تارقن ) روصلا ةبعل ىلإ ييتنيو ،نم أدبي. يفف تلالادلا و ةمئاغ ًاروص اىدي يف طيخلا فرط يتأي ،حارشنا لصف ـ ةصق ماتخ &#34;