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' ' ' 8/A *8 5B = 72(1/(/;+ ' 1 ' ' C' 8/A *8 5 *8/(/;+ ' ' ' ' ' 8/A *8 5 *8/(/;+ ' ' ' C ' 8/A *8 5 D2 78/. 7 8/(/;+ ' ? DAu bon dieu
Au bon dieu
Au bon dieu
Au bon dieu
Tout puissant
Tout puissant
Tout puissant
Tout puissant
Qui m’a inspiré
Qui ma guidé dans le bon chemin
Je vous dois ce que je suis devenue
Louanges et remerciements
Pour votre clémence et miséricorde
A mon père
A mon père
A mon père
A mon père
Errahmouni mehmmed
Errahmouni mehmmed
Errahmouni mehmmed
Errahmouni mehmmed
Vous avez consenti par votre grand amour pour
moi et par votre sacrifice, de patience, de
bienveillance et d’encouragement à mon
éducation et ma formation ce qui a fait toute ma
force et m’a permis de mener à terme mes projets.
Je ne saurai jamais exprimer le précieux
sentiment d’un jeune homme auquel vous avez
tout donné et qui vous adresse l’expression
profonde d’une gratitude qui animera son cœur
A ma mère
A ma mère
A ma mère
A ma mère
Amirrar rhimou
Amirrar rhimou
Amirrar rhimou
Amirrar rhimou
Ma plus grande chance est de t’avoir pour mère.
Ton amour inquiet, ta confiance en moi, ta
tendresse débordante m’ont encouragé à
surmonter toutes les difficultés durant mon
long chemin et réaliser, enfin, le but assigné.
Aucune dédicace ne serait aussi belle pour
t’exprimer mon profond amour et ma gratitude.
A ma sœur nawal
A ma sœur nawal
A ma sœur nawal
A ma sœur nawal
Source de joie perpétuelle ! Tu m’as
toujours donné le meilleur de toi-même.
Les mots me manquent pour te dire
combien tu m’es chère.
Que dieu te garde.
A ma
A ma
A ma
A ma sœur Bouchra
sœur Bouchra
sœur Bouchra, , , , à son mari
sœur Bouchra
à son mari
à son mari
à son mari
omar et
omar et
omar et
omar et à ma ni
à ma ni
à ma ni
à ma nièce Aya
èce Aya
èce Aya
èce Aya
Je vous exprime à travers ce travail mes
sentiments fraternels et chers que j’ai pour
vous.
Je vous souhaite à tous, tout le bonheur
que vous méritez.
A mes frères :
A mes frères :
A mes frères :
A mes frères :
Nulle expression ne saurait exprimer
l’amour, la tendresse, et l’attachement que
j’ai pour vous.
Veuillez trouver ici l’expression de mes
souhaits les plus sincères de santé, de foi et de
A notre maître
A notre maître
A notre maître
A notre maître, , , , président de thèse
président de thèse
président de thèse
président de thèse ::::
Monsieur
Monsieur
Monsieur
Monsieur H
H
H
Hicham Tahri
icham Tahri
icham Tahri
icham Tahri,,,,
Professeur agrégé d’ophtalmologie au
Professeur agrégé d’ophtalmologie au
Professeur agrégé d’ophtalmologie au
Professeur agrégé d’ophtalmologie au
CHU Hassan II de Fè
CHU Hassan II de Fè
CHU Hassan II de Fè
CHU Hassan II de Fèssss
''''
Vous nous avez fait le grand honneur
d’accepter la présidence de notre jury. Votre
sagesse et vos qualités humaines resteront pour
nous le meilleur exemple. Nous vous
remercions vivement et nous vous exprimons
notre profond respect et notre sincère
gratitude.
A notre maître
A notre maître
A notre maître
A notre maître, , , , rapporteur de thèse
rapporteur de thèse
rapporteur de thèse
rapporteur de thèse ::::
Madame Ouafae Messouak
Madame Ouafae Messouak
Madame Ouafae Messouak
Madame Ouafae Messouak,,,,
Professeur agrégé de neurologie
Professeur agrégé de neurologie
Professeur agrégé de neurologie
Professeur agrégé de neurologie au
au
au
au
CHU Hassan II de Fès
CHU Hassan II de Fès
CHU Hassan II de Fès
CHU Hassan II de Fès....
Vous nous avez honoré en nous confiant ce
travail que vous nous avez inspiré et que vous
avez guidé dans sa réalisation par vos précieux
conseils et avec une grande sympathie.
Votre sens scientifique ; Votre méthode de
travail et votre dynamisme resteront pour nous
un exemple à suivre.
C’est ici pour nous l’occasion de vous témoigner
notre profonde reconnaissance et notre gratitude.
A notre maître, juge de thèse
A notre maître, juge de thèse
A notre maître, juge de thèse
A notre maître, juge de thèse ::::
Mon
Mon
Mon
Monsieur
sieur
sieur
sieur Mohammed Faouzi
Mohammed Faouzi
Mohammed Faouzi Bela
Mohammed Faouzi
Bela
Bela
Belahhhhsen
sen
sen....
sen
Profess
Profess
Profess
Professeur agrégé de neurologie
eur agrégé de neurologie
eur agrégé de neurologie
eur agrégé de neurologie au CHU
au CHU
au CHU
au CHU
Hassan II de Fès
Hassan II de Fès
Hassan II de Fès
Hassan II de Fès
''''
Nous vous remercions du grand honneur que
vous nous faites en acceptant aimablement de
faire partie de notre jury de thèse.
Qu’il nous soit permis de vous exprimer notre
profonde gratitude et notre respectueuse
considération.
A notre maître
A notre maître
A notre maître
A notre maître, , , , juge de thèse
juge de thèse
juge de thèse
juge de thèse ::::
Monsieur Mohammed El Abkari
Monsieur Mohammed El Abkari
Monsieur Mohammed El Abkari
Monsieur Mohammed El Abkari,,,,
Professeur agrégé d’hépato
Professeur agrégé d’hépato
Professeur agrégé d’hépato
Professeur agrégé d’hépato----gastro
gastro
gastro----
gastro
entérologie au CHU Hassan II de
entérologie au CHU Hassan II de
entérologie au CHU Hassan II de
entérologie au CHU Hassan II de
Fès
Fès
Fès
Fès....
Nous vous remercions d’avoir bien voulu
siéger parmi le jury de notre thèse.
Nous sommes honorés de votre présence
et veuillez trouver dans ce travail,
L’expression de notre reconnaissance et
notre profond respect.
2:( 5
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27+ 8
27+ 8
27+ 8
27+ 8
2:( 5 2:8 9+27+/ 8 1+ 8 =287+ 4 78/5*07+/ + 7/8+<* *E+ 1 =287+ 4 (2 12(25+ 5 ! +( / 6 7*5 8 78/ = 07+9 ' ,. 27+ 7 7 1 7 /5 . 8 727+/ 5 /: 8927+/ ., : 8927+/ , . : 8927+/ .F : 8927+/ F . : 8927+/ .# : 8927+/ # 8/+ + 1 =287+ 4 (2 12(25+ 5 ! +( / 6 ( 5/ 5 (2 (+77 827*8 ' 2=+78 4 D 82(+7 *8 (2 12(25+ 5 ! +( / , . =+5 1+/(/;+ . = 07 ; 7+<* 5 (2 12(25+ ., D 82(+7 . *727+/ F. > +/=27 /(/;+ F., 0*+98 F.,., 2 8 =287+7+/ 5* 0*+98 F.,. 2==/87 5* *+98 F. 72:/(+ 1 5 0*+98 F.F / <* 0 5 *727+/ 4 +1=207 0 G ( 2(25 F. 9/(*7+/ 27*8 (( 5 (2 12(25+ 2=+78 4 2 +A 727+/ 0(+ +<* ,. /81 >1=7/127+<* 4 ,., 2 +A 727+/ + 2*;*82( ,. 2 +A 727+/ *8/(/;+<*,. ., > 58/1 E782=>821+52( ,. . > H+ + ,. .F > 287 8+ ,. . 72E+ 7 78 1/8 =/ 7*82( 7 + 7 7+/ ( ,.F 2 +A 727+/ = >0 +278+<* ,. 2 +A 727+/ E782. *8/(/;+<* ,. ., 77 + 7 =27/:+(+2+8 7 ;2 78/.+ 7 7+ 2( ,. . 77 + 7 127/(/;+<* ,. .F 77 + 7 /0*(2+8 ,. . 77 + 7 8 2( ,. .# 77 + 7 / 7 /.287+0*(2+8 ,. .I 77 + 7 5/08+ + ,. .J 77 + 7 0285+/92 0*(2+8 ,. . 77 + 7 5 (2 = 2* 7 5 = 2 8 ' ,. . 77 + 7 +11* /(/;+<* . /81 2 >1=7/127+<* 2=+78 4 +2; / 7+0 =/ +7+A ,. 8;*1 7 0(+ +<* . 8;*1 7 :+/(/;+<* ., E21 / = 0+A+<* . +(2 0*=8+<* . ., 0*+98 7/72( . . 0*+98 (+:8 . .F 2 0 8*(/=(2 1+ . . 0*+98 *8+ 2+8 . .# 0*+98 =27+<*
F., +2; / 7+0 + 5+8 07 A21+(+2( F. +2; / 7+0 ; 7+<* 5+8 07 F.F 5+027+/ 5 5+2; / 7+0 ; 7+<* . 8;*1 7 825+/(/;+<* ., *8/. 12; 8+ . 12; 8+ =27+<* .F 25+/(/;+ / * #. ( 078/= > +/(/;+ I. 27/1/=27 /(/;+ J. 1280 7827 ;+<* - *+98 2=+78 4 +2; / 7+0 5+AA 8 7+ ( 2=+78 4 82+7 1 7 7 =8/ / 7+0 ,. 82+7 1 7 ,., + 7 7+<* ,. 2 . +0+((21+ ,.F 2 78+ 7+ ,. K+ 0 ,.# 7 7827 +/1/(>:527 ,.I 7+/E>52 7 ,.J 782+7 1 7 52 5 +7*27+/ = 0+A+<* ,. J., 27+ 7 2 >1=7/127+<* ,.J. 82+7 1 7 5B 78 7+ ,.J.F +88 / 5 0/1= ,.J. *AA+ 2 0 =27+<* 2+;* ,.J.# 52 7 (2 ;8/ ,.J.I 2 782 =(2 727+/ =27+<*
,. ., 82+7 1 7 5 A/81 =27+<* ,. . 82+7 1 7 5 A/81 *8/(/;+<* ,. .F 82+7 1 7 5)*92 7 ,. 2 *89 +((2 0 ,. ., + +7+27+/ 5* 782+7 1 7 2. =27+ 7 >1=7/127+<* :. =27+ 7 =8 >1=7/127+<*
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. 8/ / 7+0 %*278+ 1 =287+ 4 ,. + 0* +/ 7 0/11 72+8 *8 (2 8+ . %* ( 782+7 1 7 0 /+ +8 L F. / 0(* +/ 4 *1 +:(+/;82= +2:( 5
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C 4 2 2* 5 C2> 8. ( + 0 8 4 2(2 + 21+ /.782 A 82 4 2 =28727 21+ /.782 A 82 4 25 / + 78+.= / = 27 4 2*7/8+ 27+/ 7 1=/82+8 5B*7+(+ 27+/ 4 0/ 0 7827+/ 0/8=* 0*(2+8 1/> 1/;(/:+ 4 0 78 27+/ 2( 5 8 A 8 0 4 0 8*(/=(2 1+ 8+:(2; 4 + ;( 782 5 0/ A/8127+/ =/(>1/8= + 1 * 4 0*+98 D 4 A+:8// /;2 78/5*/5 2( : 4 1/;(/:+ ; 4 +11* /;(/:*(+ 4 +12; 8+ =28 8 / 2 0 12; 7+<* C: 4 H+(/:2 4 > (+ /(> 78/=/ 7+<* 4 /812( 4 *1 827+/ /81*( 2 ;*+ . 4 =/(>1 82 0 2+ 8 207+/ . 8 78+07+/ A82;1 7 ( ;7 =/(>1/8= + 1 4 8 A( E / 7 /7 5+ *E 4 7/1/5 +7/1 78+ 4 72*E 5 =8/7 8/1:+ D 4 9/(*1 ;(/:*(2+8 1/>8888 1+ 8
1+ 8
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2 12(25+ 5 ! +( / /* (2 5 ; 8 0 0 =27/( 7+0*(2+8 7 * 7/E+0/ 0*=8+<* 8 5+72+8 M 5 782 1+ +/ 2*7/ /1+<* 8 0 +9 5* - * 1*727+/ M * + 87+/ /* * 5 ( 7+/ 5* ; J (/02(+ *8 ( 0 8/1/ /1 ,F<, 'F. < ,', 0/52 7 =/*8 * =8/7 + 782 1 1:82 2+8 5 782 =/87 5* 0*+98 M <*+ . 782N * 5+1+ *7+/ /* * 2: 0 5B E08 7+/ 5* 0*+98 52 (2 :+( 7 / 20. 0*1*(27+/ 7/E+<* 52 (B/8;2 + 1 7+ (( 1 7 52 ( A/+ M ( > 7 1 8. 9 *E 0 782( 7 (2 0/8 OIIP' B 7 * 12(25+ 828 M ( 7*5 7+1 7 <*B+( > 2 * A2 7 12(25 =/*8 F 2+ 2 0 O,# P OF P' 5 :*7 5 (2 >1=7/127/(/;+ 0(+ +<* 7 78 828 292 7 (3Q; 5 F 2 M (2 12(25+ 5 9 (/== ( =(* /*9 7 52 (2 =8 1+ 8 /* (2 5 *E+ 1 5 0 + 5 (2 9+ ' ( +; 0(+ +<* / 7 78 =/(>1/8= M 5/1+ =28 * >1=7/127/(/. ;+ =27+<* " =27+7 2+;* & $M * >1=7/127/(/;+ *8/(/;+<* "(2 5> 7/ + M( 78 1:( 1 7M( 78/*:( 5 (2 1280 ''''$ <*+ 7 9/(/ 7+ 8 200/1=2; 5 78/*. :( = >0 +278+<* "78/*:( 5 (2 = 8 / 2(+7 M 5* 028207 8 /* 5 = 8A/812 0 M * 727 5 =8 +A /* = >0 / $' * +9 2* /0*(2+8 6 (32 2* 5 C2> 8. ( + 8 7 /*9 7 =8 7 52 ( A/81 *8/(/;+<* O ,,P' A/81 - =8 727+/ 127/(/;+<* M 5/08+ + M / 7 /287+0*(2+8 M 8 2( /* 0285+2<* / 7 1/+ A8 . <* 7 ' 12 +A 727+/ 5 (2 12(25+ = *9 7 8 7 8 + /( M B2 /0+ 8 /**00 5 8 E=(+<*2 7 (2 928+ 7 5 72:( 2*E 0(+ +<* 8 0/ 78 O,F P'
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,
,
( 32;+7 5 (( 'C Q; 5 , 2 M + * 5B* 128+2; 0/ 2 ;*+ 5 =8 . 1+ 8 5 ;8 M 5 *E+ 1 53* A8278+ 5 ' 2 2 7 0 5 7 M / /7 * =+ /5 5B+07 8 7 * 21 /88 =8+12+8 ' (3Q; 5 ,J 2 M (2 =27+ 7 2 =8 7 * 78/*:( 5 5 ;(*7+7+/ 7 5 (2 1280 M I 1/+ =(* 7285M (( 2 =8 7 * 5> 28. 7 8+ M * 1*7+ 1 7 * >= 8 +2(/88 ' 98+ 8 FM (2 =27+ 7 A*7 / =+72(+. 2* 89+0 5 *8/(/;+ M 0 G <*+ (3 E21 0(+ +<* 78/*92+76 2 727+/ 5 :/*7 7 (2 1280 / 7 +1=/ +:( M ( 8 A( E / 7 /.7 5+ *E 5 1 1:8 + A 8+ *8 / 7 =8 7 >1 78+<* 7 9+A M 8 A( E 2* *E 7 2:/(+ 7 * 2=82E+ 5 (2 1280 7 53 2:+((2; ' 3 E21 /= 72(1/(/;+<* - (2 (21= - A 7 2 8 9 ( * 2 2* 5 C2> 8. ( + 0 8 :+(27 82(' 8 *(727 5* :+(2 :+/(/;+<* 72+ 7 ( *+92 7 6 * 8/1:/= + - #', F 11FM * 127/08+7 2:2+ - F YM * 2:2+ - IFY' :+(2 0*=8+<* 72+7 = 87*8: 7 ( <* (2 0*=8 1+ 2:2+ - ' 1; ( " 4 ' V ,' 1; ($ 7 (2 0 8*(/=(2 1+ 1+ AA/ 58 Z ' J ; ( " 4 ' V ' ; ($' 8 7 5* :+(2 :+/(/;+<* 72+7 /812(' 3 0 8 :82( 2 1/ 78 * >. = 8 +; 2( + 7 8 2 7 ( 7 2(21* M ( />2*E ( 7+0*(2+8 53* A2[/ :+(27 . 82( 7 >1 78+<* "A+;',$' B 0 /;82= + 2:5/1+ 2( 2 /:) 07+9 * A/+ 7 8/; 5 0/ 7/*8 +88 ;*(+ 8 29 0 >=/78/= + 5* (/: ;2*0 M 2 =( /1 ;2(+ + 5+(2727+/ 5* 78/ 0 =/87 ' 2 D 2 1/ 78 (2 =8 0 5 F 0/85/ 928+<* *E 725 2* , F + A 8+ *8 5 (3\ /= 2; ' 5+2; 5+2; 5+2; 5+2; / 7+0 5 (2 12(25+ 5 ! +( / 2 7/ 7+0 5 (2 12(25+ 5 ! +( / 2 7/ 7+0 5 (2 12(25+ 5 ! +( / 2 7/ 7+0 5 (2 12(25+ 5 ! +( / 2 7 8 78 78 78 7 **** *8 (*8 (*8 (*8 ( 08+7 808+7 808+7 808+7 8 0(+ +<*0(+ +<*0(+ +<*0(+ +<* 7 =287 =287 =287 =282.2.2.2. 0(+ +<* 0(+ +<* 0(+ +<* 0(+ +<* '''' 782+7 1 7 =28 (2 . +0+((21+ A*7 + 72*8 - 5 5/ =8/;8 +. 9 288+92 7 - , ; )M 2 /0+ - * 8 ;+1 2(+1 72+8 =2*98 0*+98 M * 782+7 1 7 =8 9 7+A 5 928+0 \ /= 2;+ - :2 5B* :U72:(/<*2 7 " $ ] 0=0(+ +<* 6 * 8 ;8 +/ 5 +; *8/(/;+<* 29 0 (2 = 8 + 72 0 5 (B C ' B E21 0(+ +<* 5 (2 A8278+ 5 (2 12(25 B2 =* =2 U78 AA 07* =28 8 A* 5 (2 A21+(( '
8:8 ; 2(/;+<* 4
2 / G ?2 2 : /
2 + 5 E 2 12(25+ 5 ! +( /
+;*8 , 4 0 8 :82( 0/*= 2E+2( (2+8 1/ 782 7 5 >= 8 +; 2*E 2* +9 2* 5 7 2(21* M 5 />2*E ( 7+0*(2+8 53* A2[/ :+(27 82( 7 >1 78+. <* '
Figure 2 : IRM cérébrale en coupe axiale
FLAIR ne montre pas d'anomalie
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.
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.
:
:
:
:
8927+/
8927+/
8927+/
8927+/
( 32;+7 5 (3 A2 7 '@ Q; 5 , 2 M + * 5B* 128+2; 0/ 2 ;*+ 2>2 7 0/11 2 7 0 5 7 5 *E \ *8 5 0 5 *+7 - (2 12(25+ 5 ! +( / ' 8/+ 1/+ 292 7 (2 0/ *(727+/ M ( =27+ 7 2 =8 7 5 1/*9 1 7 2 /812*E 5 <*278 1 1:8 7>= 5 5> 7/ + =*+ (2 >1=7/127/(/;+ 3 7 8+0 + =28 (32==28+7+/ 53* 5> = 2;+ 7 53* 5> 287 8+ ' /9 1:8 M ( =27+ 7 A*7 / =+72(+ 2* 89+0 5 *8/(/;+ M 0 G <*+ (3 E21 0(+ +<* 78/*92+76 +; 5 /1: 8; 7 =/ +7+AM * 1280 =2 7+<* 29 0 277+7*5 5> 7/ +<* "=+ 5 1 7. 7 7 E7 +/ /* A( E+/ =(2 72+8 A/80 $ 29 0 5 1/*9 1 7 2 /812*E 5 A( E+/ 7 53 E7 +/ 5 =/+; 7 M 5/+;7 E7 +/ 7 255*07+/ M * >= 8. 7/ + ; 82(+ 7 78/*:( 5 0//85+ 27+/ 29 0 = 87*8:27+/ 5 (B =8 *9 5/+;7 G 7 5 (B =8 *9 5 128+/ 77 ' 3 E21 /= 72(1/(/;+<* - (2 (21= - A 7 2 1+ 9+5 0 * 2 2* 5 C2> 8. ( + 0 8 :+(27 82(' 8 7 5 (B E21 /. 127+<* 72+7 2 =287+0*(28+7 ' :+(2 :+/(/;+<* 2 7 8 2(+ 0 G 0 =27+ 7 7 +( 2 1/ 78 * 7 8/1:/= + - J ', F 11FM * 2:2+ - YM * 0>7/. (> " - FM# 7 - $M ( 8/(/;+ >= +(+7+<* 7 =27+7+<* 72+ 7 ;27+9 ' :+(2 0*=8+<* 72+7 = 87*8: 6 (2 0*=8 1+ 2:2+ - 'F 1; (M ( 72*E 5 0 8*(/=(2 1+ 1+ 7 + A 8+ *8 - ', ; (M ( 8 7 5* :+(2 :+/(/;+<* 72+7 /8. 12(' 2 0 8 :82( 2 1/ 78 * >=/5 +7 5 5 *E =*721 7 * 5+ . 08 7 02(0+A+027+/ 5 5 *E =2((+5*1 "( +/ :+(27 82( 5 />2*E ( 7+0*(2+8 $M 29 0 278/= + 0/87+0/. /* .0/87+02( "A+;'F$' B 0 /;82= + 2:5/1+ 2( 2 1+ 9+. 5 0 * 2 = 07 A29 *8 53 >= 87 +/ =/872( 29 0 A/+ 7 8/; "(2 827 7 2*;1 7 5 72+(( 7 53 0 / 78*07*8 /1/; M ( 78/ 0 =/87 7 5+(27 $ 5+2; / 7+0 5 (2 12(25+ 5 ! +( / 2 7 8 7 * 5+2; / 7+0 5 (2 12(25+ 5 ! +( / 2 7 8 7 * 5+2; / 7+0 5 (2 12(25+ 5 ! +( / 2 7 8 7 * 5+2; / 7+0 5 (2 12(25+ 5 ! +( / 2 7 8 7 * :2 2 7 *8 (:2 2 7 *8 (:2 2 7 *8 (:2 2 7 *8 ( 28;*28;28;28;***1111 7777 0(+ +<* 7 =2820(+ +<* * 0+7 0(+ +<* 7 =2820(+ +<* * 0+7 0(+ +<* 7 =2820(+ +<* * 0+7 0(+ +<* 7 =2820(+ +<* * 0+7 '''' 782+7 1 7 29 0 . +0+((21+ "(2 A8278+ 5* 12(25 B2 =2 8 9 ( 5B2 /12(+ ' =8 5 *E 1/+ 5 782+7 1 7M ( 0*=8+= 2 7 288U7 82+ / 5 2 / 5+ =/ +:+(+7 M 8 1=(20 =28 ( *(A27 5 K+ 0 "K+ 2 H+ #1;$ ,0= 78/+ =8+ =28 )/*8' /* 782+7 1 7 (B 9/(*7+/ 2 7 128<* =28 * 8 ;8 +/ 1/5 8 5 +; 0(+ +<* '''' 8:8 ; 2(/;+<* 4
I
II
Cas index
III
Y S Mi N Kh Me
Maladie de Wilson
Cas décédé
Figure 3: TDM cérébrale en coupe axiale montrant
(3 >=/5 +7 5 5 *E =*721 29 0 278/= + 0/87+0/. /* .0/87+02( '.
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.F
F
F
F
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:
:
:
8927+/
8927+/
8927+/
8927+/
F
F
F
F
( 32;+7 5 8 'C M Q; 5 ,J 2 M + * 53* 128+2; 0/ 2 ;*+ 5 =8 1+ 8 5 ;8 M 2 2 7 0 5 7 =27 /(/;+<* /72:( ' B + 7/+8 5 (2 12(25+ 292+7 5 . :*7 *A 1/+ 292 7 (2 0/ *(727+/ /^ ( =27+ 7 2 =8 7 * 78/*:( 5 0/1=/8. 7 1 7M 5 08+ 5 8+8 M * >= 8 +2(/88 M 5 5> = 2;+ M 78/*:( 5 (2 ;2; M 78/*:( 5 (2 1280 7 (B2==28+7+/ =8/;8 +9 53* 8 7285 + 7 (( 07* (' /9 1. :8 IM ( =27+ 7 A*7 / =+72(+ 2* 89+0 5 *8/(/;+ M 0 G <*+ (3 E21 0(+. +<* 78/*92+76 * 78/*:( 5 (2 1280 " >= 8 (/85/ M :82 8 78/=*( +/ 1280 - = 7+7 =2 M =+ 5 0/(( 2* /( 7 5+1+ *7+/ 5 :2(2 0 1 7 5 :82 $M ( / 7 =8 7 29 0 78 =+527+/ =+( =7/_5 5 5 *E 0R7 7 * >= 87/ + ; . 82(+ 29 0 = /1 5 (2 8/* 5 7 ' 2 0/ *(727+/ /= 72(1/(/;+<* 8 78/*. 92+7 * 2 2* 5 C' :+(27 82(' 8 7 5 (B E21 0(+ +<* 72+7 /812( 5 /8 5B* =( /1 ;2(+ ' *1 827+/ A/81*( 2 ;*+ 1/ 782+7 * 2 1+ 1/. 5 8 " :`, 'F; 5($M >=/0 8/1 " ` F '#; 5($M /81/0>72+8 " D ` a1F$ 7 * 8/1:/= + - J ', F 11F' :+(2 0*=8+<* 72+7 = 87*8: 7 ( <* (2 0*=8 1+ 2:2+ - 'F 1; (M (2 0 8*(/=(21+ 1+ AA/ 58 Z ', ; ( 7 (2 0*=8*. 8+ 5 ( 9 - ,F a; " Z# a; /* Z M a1/( $M ( 8 7 5* :+(2 :+/(/;+<* 72+7 2 =287+0*(28+7 ' B 0 8 :82( 2 /:) 07+9 , * 2 = 07 >=/. +; 2(M * 2 = 07 >= 8 +; 2( + 7 8 2 7 ( =*721 5 (/0* +; 8M 5 A2+ 0 2*E =>821+52*E 2* +9 2* 02= *(2+8 5 1U1 <*32* +9 2* 5* 1 . 0 = 2( 7 5* / M 8 = 072 7 ( />2*E 8/*; M 0 77 277 + 7 7 :+(27 82( 7 >. 1 78+<* "A+;' M#$' B 0 /;82= + 2:5/1+ 2( 2 1+ 9+5 0 M * A/+ 7 8/; 5 0/ 7/*8 +88 ;*(+ 8 M 29 0 * =( /1 ;2(+ A2+ 2 7 9/<* 8 * >= 87 +/ =/872( *8 A/+ 5 0+88 / ' 2 D 2 1/ 78 0/85/ 928+<* *E 725 2* +. 9 2* 5* , F + A 8+ *8 5 (3\ /= 2; ' 5+2; / 7+0 55+2; / 7+0 55+2; / 7+0 55+2; / 7+0 5 (2(2 12(25+ 5 ! +( /(2(2 12(25+ 5 ! +( /12(25+ 5 ! +( /12(25+ 5 ! +( / 2222 7777 72:(+ :2 2 7 *8 ( =2821 78 0(+ +<* 7 =2820(+ +<* * 0+7 72:(+72:(+ :2 2 7 *8 (:2 2 7 *8 ( =2821 78=2821 78 0(+ +<*0(+ +<* 7 =2820(+ +<*7 =2820(+ +<* * 0+7* 0+7 72:(+ :2 2 7 *8 ( =2821 78 0(+ +<* 7 =2820(+ +<* * 0+7 ''''782+7 1 7 29 0 . +0+((21+ " # 1; $ 2 7 + 72*8 - 5 5/ 08/+ 2 7 M 288+92 7 - 0= ) 2*<* ( B 7 2 /0+ * 782+7 1 7 =8 9 7+A 5 (2 8*=. 7*8 5 928+0 \ /= 2;+ " (9/0285>( 1; b 0= )$' =8 * 2 5 782+7 . 1 7 29 0 * :/ AA+020+7 7 7/( 82 0 M ( =27+ 7 2 + 7 88/1=* ( 82+ / 5 2 / 5+ =/ +:+(+7 M 8 1=(20 =28 ( *(A27 5 K+ 0 "K+ 2 H+ #1;$ ,0=E )' * 0/*8 5 0/ *(727+/ M (2 *89 +((2 0 0(+ +<* 0/ 727 * 21 (+/82. 7+/ 5 78/*:( 5 (2 ;2; M 5 78/*:( 5 (2 1280 7 * 5+ =28+7+/ 5 78/*:( 5 5 ;(*7+7+/ M / /7 ;2( 1 7 * 77 21 (+/827+/ 5* 0/1=/87 1 7 7 5* +. 9 2* + 7 (( 07* ( 2 29/+8 (B2==28+7+/ 5 78/*:( = >0 +278+<* ' B E21 0(+ +. <* 78/*9 * 5+1+ *7+/ 5 :2(2 0 1 7 5 :82 2* 0/*8 5 (2 1280 M ( / 7 =8 7 29 0 78 =+527+/ =+( =7/_5 5* 0/7 58/+7 M * >= 87/ + 1+ +1 29 0 = /1 5 (2 8/* 5 7 ' G (2 A8278+ 5 0 =27+ 7M (B E21 0(+ +<* 72+7 78+07 1 7 /812('
33 8:8 ; 2(/;+<* 4
III
IV
Cas index Ah Kh Mu Ih Hi Me Ha An Fa
La maladie de Wilson
Figure 4 : coupe axiale d'IRM cérébrale en séquence montrant
5 >= 8 +; 2*E + 7 8 2 7 ( =*721 7 ( (/0* +; 8.
Figure5 : coupe axiale d'IRM cérébrale en séquence Flair montrant des hypersignaux
d'une façon bilatérale et symétrique,
5 =*721 M 5 (/0* +; 8M 5 1U1 <* 5 A2+ 0 2*E =>821+52*E 2* +9 2* 02= *(2+8 '.
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:
:
:
:
8927+/
8927+/
8927+/
8927+/
( 32;+7 5 (( ' Q; 5 ,J 2 M 2>2 7 0/11 2 7 0 5 7 * =+ /5 53+07 8 - (3Q; 5 # 2 M * 21 /88 =8+12+8 7 (( 292+7 5 *E \ *8 5 0 5 *+7 - (2 12(25+ 5 ! +( / ' B + 7/+8 5 (2 12(25+ 292+7 5 :*7 78/+ 1/+ 292 7 (2 0/ *(727+/ /^ (( 2 =8 7 * 78/*:( 5 (2 ;2; M * 2H+ + 7 * 5+1+ *. 7+/ =8/;8 +9 5 8 5 1 7 0/(2+8 ' ?*+ JM (2 =27+ 7 A*7 / =+72(+ 2* 89+0 5 *8/(/;+ M 0 G <*+ (3 E21 *8/(/;+<* 78/*92+7 **** > 58/1> 58/1> 58/1> 58/1 E78E782.E78E782.2.2. =>821+52( 2H+ 7/ =>821+52( 2H+ 7/ =>821+52( 2H+ 7/ =>821+52( 2H+ 7/....8+;+58+;+58+;+5 MMMM ( 88+;+5 7 5 (B E21 0(+ +<* 8 78/*92+7 <*B* =( /. 1 ;2(+ A 81 ' 3 E21 /= 72(1/(/;+<* - (2 (21= - A 7 2 5 0/*9 87 (2 =8 . 0 5B* 2 2* 5 C2> 8. ( + 0 8 :+(27 82(' *1 827+/ A/81*( 2 ;*+ 1/ 782+7 * 2 1+ 1/5 8 " :` 'I; 5($M /81/0 8/1 " `F '# ; 5($ 7 1+08/0>72+8 " D `J a1F$' B2 2(> 5* :+(2 0*=8+<* 2 8 9 ( * :2+ 5 (2 0*=8 1+ 7 5 (2 0 8*(/=(21+ 1+ 2 /0+ - * 2*;1 727+/ +1=/872 7 5 (2 0*=8*8+ 5 ' 8 7 5* :+(2 :+/(/;+<* 72+7 78+07 1 7 /812(' B 0 8 . :82( 2 5 7 07 (2 =8 0 53* +; 2( + 7 8 2 7 ( />2*E ;8+ 0 782*E 5 A2[/ :+(27 82( 7 >1 78+<* M 0 7 >= 8 +; 2( + 7 8 ;2( 1 7 ( 1 0 = 2( 7 ( 7 ;1 7*1M 8 = 072 7 ( />2*E 8/*; "A+;' IMJ$' /7 2* + (2 =8 0 53* ( +/ /5*(2+8 0 7+1 78+<* 0/87+0/. /* .0/87+02( =28+ 72( 58/+7 M >=/ +. ; 2( , 7 >= 8 +; 2( 6 0 7 2 = 07 7 A29 *8 5B* 5 =R7 =28212; 7+.<* ' B 0 /;82= + 2:5/1+ 2( 2 /:) 07+9 * 9/(*1+ * =( /1 ;2(+ /1/. ; M * A/+ 7 8/; 7 * 1+ +1 =2 0 1 7 + 782.= 8+7/ 2(' 2 D B2 =2 1/ 78 532 /12(+ ' 5+2; / 7+0 5 12(25+ 5 !5+2; / 7+0 5 12(25+ 5 !5+2; / 7+0 5 12(25+ 5 !5+2; / 7+0 5 12(25+ 5 ! +( /+( /+( /+( / 2 72 72 72 7 0/ A+81 =28 (0/ A+81 =28 (0/ A+81 =28 (0/ A+81 =28 ( 2 2 2 28888;*1;*1;*1;*1 7 0(+ +<*7 0(+ +<*7 0(+ +<*7 0(+ +<* 7 =2820(+ +<*7 =2820(+ +<*7 =2820(+ +<*7 =2820(+ +<* * 0+7* 0+7* 0+7* 0+7 '''' 782+7 1 7 =28 ( *(A27 5 K+ 0 "K+ 2 H+ #1;$ 2 7 + 72*8 ",0= 78/+ =8+ $ 29 0 * 7/( 82 0 E0 (( 7 M B 9/(*7+/ *8/(/;+<* 7 128<* =28 (2 72:+(+ 27+/ 5 (2 >1=7/127/(/;+ 6 (2 = 8 + 72 0 5 > 58/1 E782=>821+52( 2H+ 7/.8+;+5 29 0 78 1:( 1 7 5+ 08 7
5B277+7*5 M * 5> 287 8+ 7 * >= 8 2(+927+/ ' /* 782+7 1 7M (2 =27+ 7 2 =8 . 7 5 78/*:( = >0 +278+<* - 7>= 5B2;8 +9+7 7 5 5 + +:+7+/ <*+ / 7 7 8 ;8 /* * *8/( =7+<* " 2(5/($'
2 : 0 +;*8 I 4 0/*= 2E+2( 5B 0 8 :82( <* 0 1/ 782 7 * >= 8 +; 2( + 7 8 2 7 ( />2*E ;8+ 0 782*E"2M:$M ( 1 0 = 2( 7 ( 7 ;1 7*1"0$
+;*8 J 4 0/*= 2E+2( 5B 0 8 :82( <* 0 (2+8 1/ 782 7 * >= 8 +; 2( + 7 8 2 7 ( />2*E ;8+ 0 782*EM ( 1 0 = 2( 7 ( 7 ;1 7*1
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( 32;+7 5 8 ' M Q; 5 , 2 M 1 53* A8278+ 5 M +( B292+7 2*0* 2 7 0 5 7 =27 /(/;+<* 7 =28 7 B 72+ 7 =2 0/ 2 ;*+ ' (3Q; 5 ,J 2 M ( =27+ 7 =(2+; 2+7 5B* A2+:( 5 1 1:8 + A 8+ *8 29 0 5 0/ 7820. 7+/ 1* 0*(2+8 + 9/(/ 72+8 200 7* =28 (2 1280 7 (3 AA/87 2 /0+ - * 7/87+0/(+ =2 1/5+<* 5 (2 *<* ' 07/:8 JM ( =27+ 7 A*7 / =+72(+ 2* 89+0 5 *8/(/;+ M 0 G <*+ (3 E21 *8/(/;+<* 78/*92+76 5 1/*9 1 7 5> 7/ +<* 5 1 1:8 =(* 128<* - (3 1+0/8= ;2*0 M ( 8 A( E 8/7*(+ / 7 9+A ' B2 2(> 5* :+(2 0*=8+<* 1/ 782+7 * 0*=8 1+ 2:2+ -'Ia1/( (" 4, '#. 'J a1/( ($ 7 * 0 8*(/=(2 1+ 1+ 2:2+ - ', ; ( " 4 ' . ' ; ($' B 0 8 :82( 2 1+ 9+5 0 <* 0 A(2+8 * >= 8 +; 2( 5 :82 =/ 7 8+ *8 M 5 02= *( + 7 8 7 5 = 5/ 0*( 0 8 :82*E "A+;', $' 5+5+2.5+5+2.2.2. ; / 7+0 5 ; / 7+0 5 ; / 7+0 5 ; / 7+0 5 (2(2(2 12(25+ 5 ! +( / 2 7 8 7(2 12(25+ 5 ! +( / 2 7 8 712(25+ 5 ! +( / 2 7 8 712(25+ 5 ! +( / 2 7 8 7 **** 82+ / 5 08+7 882+ / 5 08+7 882+ / 5 08+7 882+ / 5 08+7 8 0(+ +<*0(+ +<*0(+ +<*0(+ +<* 7 =287 =287 =287 =282.2.2.2. 0(+ 0(+ 0(+ 0(+ ++++<*<*<*<* '''' 782+7 1 7 - :2 5 *(A27 5 K+ 0 "K+ 2 H+ # 1;$ ,0= E ) 2 7 + 72*8 7/*7 *89 +((2 7 (B 9/(*7+/ 0(+ +<* 6 ( =27+ 7 2 0/ * * 2;;82927+/ 5 (2 5> 7/ + 1=U0 2 7 (2 1280 M (3 2:+((2; 7 (32(+1 727+/ 7/*7 *(' /*78 5 K+ 2 H+ M * 1>/8 (2E2 7 " 20(/A $ 2 7 =8 08+7 - 5 5/ =8/;8 +9 ' =8 1/+ M ( =27+ 7 2 288U7 ( 782+7 1 7 *+7 - (B2;;82927+/ 5 (2 >1=7/12. 7/(/;+ *8/(/;+<* 'Figure 8 : coupes axiales d'IRM cérébrales en séquence T1 ne montrant pas
d'anomalies.
Figure 9 : coupes axiales d'IRM cérébrales en séquence montrant un hypersignal
5 :82 =/ 7 8+ *8 7 5 02= *( + 7 8 '
Figure 10 : IRM cérébrale en coupe axiale Flair
montrant un hypersignal
5 :82 =/ 7 8+ *87 5 02= *( + 7 8 '
8/
8/
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8/++++ + 1
+ 1
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287+
287+
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287+ 4444
2
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
.
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= 07 ;
7+<* 5 (2 12(25+
7+<* 5 (2 12(25+
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. . . . *727+/*727+/*727+/*727+/ =*+ / 0(/ 2; M , FM =(* 5 F *727+/ =28=+(( *8 7/* ( ; / 7 7 +5 7+A+ 12+ 0 872+ / 7 E78U1 1 7 828 O ##P' =(* /*. 9 7M (( 7/*0 7 ( E/ M M , M ,I 7 , <*+ 0/88 =/ 5 7 2*E 5/12+ A/ 07+/ ( 5 (3 J O, P' +AA 8 7 1*727+/ / 7 7 =8/*9 6 5 ( 7+/ M + 87+/ M / M A82. 1 +A7M 2* +7 53 =+ 2; M E/ H+==+ ; 52 (2 8 ;+/ 0/52 7 O,IJP O ,IP' ((
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
2:( 2* , 4 8+ 0+=2( 1*727+/ +5 7+A+ 52 (2 12(25+ 5 ! +( / 4 OIFP O,#JP D *72 7 D /;82= + 5 (2 1*727+/ 28+27+/ > +/(/;+<* 28207 8 5 (2 1*727+/ ((* 7827 *8 + , J ;(> *8/= " (( 12; YM /(/; #JYM 2852+; ,FYM (2 5M *8/= 5 (3 7 FJYM 82 0 M ;( 7 88 $ /*7 928+27+/ 12+ =2 7285+A' +7 200 =7 *8 2 G+ 7 2(' ", F$ + , I D( 727 V + 28 20H2 7 2(M ", #$ /12 7 2(' ", #$' 2 V 2/ 7 2(' ", $ *8/= " /(/; Y$ /*7 928+27+/ 2 G+ 7 2(' ", F$ D(> , IJ 28; 727 . + +7 200 =7 *8 /12 7 2(' ", #$' *8/= " * + M /((2 5 $ =27+<* /* *8/(/;+<* 9 8 2 2 G+ 7 2(' ", F$ + J, D( 727 V + "F,YM Y 5 * $ /*X 7 2(' ", #$ *8/= " * + $ :*7 7285+A 2 G+ 7 2(' ", F$ , =5 ( FFJ 727 V + +7 5 = / = /8>(27+/
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7 2(' ", $ H252 7 2(' " $ F5 (7>8 ?2=/ A*(1+ 2 7 5 1 5 ( = ?2=/ A*(1+ 2 7 5 1 F 5 (D ?2=/ C* *52 7 2(' " $ + ,,Y E/ , C+1 7 2( ", $ 8;, , 8/ 2+X2 JY ! * 7 2(' ", $ d* 7 2( ", $ + E/ , C+1 7 2( ", $ , J 8 2+X2 ! * 7 2(' ", $ d* 7 2( ", $ * + " Y$ 2 G+ 7 2(' ", F$ , := 5 ( FFJ 727 . + D(> F 8 /12 7 2(' ", #$ 8; , D(> ?2=/ /7>= 5+ =2827 2H +72 7 2(' " $ , 5 ( #,, ?2=/ /7>= 5+ =2827 2H +72 7 2(' " $ (2 J 2( ?2=/ /7>= 5+ =2827 2H +72 7 2(' " $ , J 8 72(+ /12 7 2(' ", #$
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F....,,,,...,., 2,, 22 8 =287+7+/ 5* 028 =287+7+/ 5* 08 =287+7+/ 5* 08 =287+7+/ 5* 0*+98*+98*+98*+98
3/8;2 + 1 53* 25*(7 2+ M 0/ 7+ 7 5 J - ,# 1; 5 *+98 M / ( 8 . 78/*9 ;82 5 <*2 7+7 52 ( A/+ ", Y$M />2*E =+;1 7 5 0 89 2*M ( 1* 0( M ( 8 + 7 ( / O P' 2 ( 7+ * M ( 0*+98 3 7 )212+ /* A/81 (+. :8 M +( 7 7/*)/*8 (+ - 5 20+5 21+ M - 5 =8/7 + "0*=8/.=8/7 + $ 7 - (2 0 8*(/=(2 1+ ' F F F F....,,,,.... 2==/87 5*2==/87 5*2==/87 5*2==/87 5* *+98*+98*+98*+98 3 2 8 0/112 5 * 2==/87 <*/7+5+ 5 F a; H; =/+5 0/8=/8 ( ) "/* M, 1; )$ 52 ( 02 53* /11 25*(7 7 a; H; =/*8 ( /*88+ / M 0 8 0/112 527+/ 72+ 7 A/ 5 *8 5 7*5 5 2==/87 0 2+8 =/*8 0/1= 8 (2 = 87 <*/7+5+ 5 0*+98 5* 2* 1 72:/(+ 1 7 - (3 E08 7+/ ' 72:( 2*E 7 F A/*8 + 7 8 = 07+9 1 7 (2 7 *8 5 0*+98 - 0/ /11 8 <*/7+. 5+ 1 7 2:( 2* 4 2==/87 0/ +(( 0*+98 "1; )$ 532=8 (32; 0 A82 [2+ 5 0*8+7 2 +72+8 5 2(+1 7 O P' A2 7 5 , - F 2 M A2 7 5 - I 2 , A2 7 5 I - 2 ,M A2 7 5 , - , 2 ,M# 5/( 0 7 " $ 5 ,F - , 2 ,M# /11 25*(7 11 25*(7 ,M# 11 0 + 7 11 2((2+72 7 8 / Q; ,M#
2:( 2* F 4 / 0 7827+/ 1/> 5 0*+98 52 ( 2(+1 7 O, #P' >= 532(+1 7 / 0 7827+/ a; H; . 8*+7 5 1 8 "=/+ / M 08* 720 7 1/((* <* $ ,M . +2 5 "9/(2+(( M =/8 M :\ *AM 2; 2*$ FM . e *A 7 =8/5*+7 (2+7+ 8 " (2+7M : *88 $ ,MJI . ;*1 "- A *+(( 2(+1 72+8 MA+ 98 M=(2 7 . 820+ $ ,M,J . 8*+7 " 28:8 A8*+7+ 8 > 0/1=8+ ( 28:8 A8*+7+ 8 78/=+02*E $ M . D82+ 7 0 8 2( M . *+( 7 ;82+ MIF . /+E , M . / 5+1 7 7 =+0 IMJI . /+ / "> 0/1=8+ 9+ M :+ 8 7 =+8+7* *E$ M F F F F.... 72:/(+ 1 572:/(+ 1 5 0*+9872:/(+ 1 572:/(+ 1 5 0*+980*+980*+98 32=8 5 7*5 8 2(+ 29 0 5 + /7/= 825+/207+A 5* 0*+98 M / 78/*9 <* (2 12) *8 =287+ 5 0*+98 7 2: /8: - =287+8 5 (3 7/120 7 5 5*/5 *1 7 <*3+( 277 + 7 0/ 0 7827+/ 12E+12( 52 ( 2 ; 5 , - F *8 2=8 (3251+ + 7827+/ /82( O, JP' 2 (3 7 8/0>7 M ( 0*+98 7 /+7 0/1=( E - (2 1 72((/7 +/ + M /+7 (+ -5 21+ /20+5 M (2 1 72((/7 +/ + )/* * ;82 5 8R( 52 (3 /1 / 72 + 5* 0*+. 98 8 ;*(2 7 / =2 2; - 7829 8 (2 =28/+ + 7 7+ 2( O P' *8 ( =(2 ; 82(M ( 1 72:/(+ 1 0 ((*(2+8 5 0*+98 52 ( 7+ * 5 (3/8;2 + 1 A2+7 + 7 89 +8 * 72= 53+ 0/8=/827+/ <*+ 0 +7 (3207+/ 53* 8 . 5*072 1 1:82 2+8 M 0/8 + 0/ * <*+ 8 5*+7 ( * =*+ ( * A82 0 +7 (2 1 1:82 0>7/=(2 1+<* ;8Q0 2* 782 =/87 *8 ,=' 2+7 12+ 7 2 7 <* 52 ( 0/1=287+1 7 0>7/=(2 1+<* ( 0*+98 = *7 U78 7/0H =28 ( 1 72((/7 +/. + /^ +( 7 =8+ 0 28; =28 * 1/( 0*( 0 2= 8/ (2 =8/7 + ,= "/* =8/7 + 7E,$M =287 2+8 0>7/ /(+<* = 0+A+<* 5* 782 =/87 *8 ! +( / 6 (3 J
"A+;*8 ,,$M O ,P 7 ( =2 2; 5* 0*+98 5 (2 =8/7 + 0 2= 8/ ,= -(3 J 3 AA 07* 2=8 0 2 ; 1 7 0/ A/8127+/ ( 25 <*27 OFIP' 2 =8/7 + J 7 (/02(+ 2* +9 2* 5* 82 .D/(;+ 0 ((*(2+8 "A+;*8 , $M (( =8 7 * 5*2(+7 5 A/ 07+/ =8/:2:( 1 7 53/8+;+ =/ 7 V 7825*07+/ (( ' (( 2 7 1+ 9+5 0 52 ( A/+ M ( > 7 1 89 *E 7 ( 8 + O,J,P' =8/7 + 5 782 =/87 5 1 72*E (/*85 / 7 * +1+(+7*5 M 12+ (3 J 2 5 028207 8+ 7+<* =287+0*(+ 8 "A+;*8 ,,$ /7211 7 4 c /7+A C D 6 +7 5 = / = /8>(27+/ "- (3/8+;+ 5 (32== ((27+/ 2 5 7>= $ OIFP O,, P' c /7+A D = 81 772 7 (2 A+E27+/ - (3 " :+ 5+ ; 5/12+ $ c <* 0 dD Dd d <*+ 8 (+ 5/12+ 5 A+E27+/ 2* ;1 7 782 1 1:82 2+8 OFP OF P O P' cI 1/7+A 8 = 7 D dd - (3 E78 1+7 7 81+ 2( 3 J M * 7*5 8 0 7 2 5 1/ 78 <* 0 1/7+A 2>2 7 * = 0+A+0+7 =/*8 ( 0*+98 7 5 (+ 8 I 1/( 5 0*+98 - * 1/( 5 .7 81+ 2( 53 J OIJPO ,P' c /7+A M 7 +1=(+<* 52 (2 8 ;*(27+/ 5* A(*E 5 0*+98 c /7+A M 7 +7* 2* +9 2* 5 I 1 (+0 782 1 1:82 2+8
5 *E 5 8 + 8 1/7+A / 7 0/ 89 =/*8 ( 782 =/87 5 1 72*E (/*85 OFP OF P O P' 77 =8/7 + = 81 7 (3+ 0/8=/827+/ 5* 0*+98 52 ( 0*=8/=8/7 + 5/ 7 (32=/0 8*(/=(2 1+ 72 7 (/02(+ 2* +9 2* 5* 8 7+0*(*1 5/=(2 1+<* 7 /* 5* 0/1=287+1 7 82 .;/(;+ M 12+ (( = 81 7 2* + ( 8 (28;2; 5* 0*+98 52 (2 :+( =28 ( :+2+ 53* 782A+0 9 +0*(2+8 5 0( 0 =28 (3 ( 927+/ 5 (2 0/ 0 . 7827+/ 0*+98 52 (3 =27/0>7 OIFP O, P O I P "A+;*8 , 7 ,F$'
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1+ 7 ( =8+ 0+=2( 782 =/87 *8 5* 0*+98 52 ( =(2 12M (2 0/ 0 7827+/ =(2 . 127+<* /812( 5 0 77 =8/7 + 7 5 - 1; (' (2 5+1+ *7+/ /* (32: 0 53+ 0/8=/827+/ 5* 0*+98 - (32=/0 8*(/=(2 1+ 782N * 5+1+ *7+/ 5 (2 (+: 827+/ 0 ((*(2+8 5 0 8*(/=(2 1+ 7 5/ 0 * 5+1+ *7+/ 5 / 72*E 2 ;*+ "/: 89 0 G #Y 5 12(25 $ OIIP OFP' 5/ 2; 5 (2 0 8*(/=(2 1+ 82+7 5/ 0 * ( 1 7 +1=/872 7 12+ *87/*7 0/1. =( 1 72+8 5* 5+2; / 7+0 5 (2 12(25+ 5 ! +( / ' F F F F.... 9/(*7+/9/(*7+/9/(*7+/9/(*7+/ 27*8 (( 5 (2 12(25+27*8 (( 5 (2 12(25+27*8 (( 5 (2 12(25+27*8 (( 5 (2 12(25+ * 0/*8 5 (2 = 2 + +7+2( <*+ 0/88 =/ 5 2*E , - =8 1+ 8 2 5 (2 9+ M ( 0*+98 3200*1*( 52 ( =27/0>7 M - 0 725 ( 12(25 / 7 2 >1=7/127+<* O J P' * 0/*8 5 (2 0/ 5 = 2 M 5 I - J 2 M ( 0*+98 7 8 5+ 78+:* 5* 0>7/. =(2 1 =27/0>72+8 9 8 ( (> / /1 <*+ ( <* 782 7M / 7 * AA 7 =8/7 0. 7 *8M ( =(* /*9 7 0 782 A 87 7 =8/;8 +A 2 12 +A 727+/ 0(+ +<* /81+ 5 +; 53 =27+7 1/5 8 M 12+ =28A/+ 0 77 8 5+ 78+:*7+/ = *7 U78 :8*72( 7 782N 8 * 08/ =27/0>72+8 29 0 * =27+7 2+;* 7 * 8 (28;2; 12 +A 5* 0*+98 52 ( 2 ;6 /*80 53 1/(> O, IP OF#P' A+ M 2* 0/*8 53* F 1 = 2 M (2 0/ 0 7827+/ 5 0*+98 (+:8 =(2 127+. <* 2*;1 7 29 0 ( 927+/ 5 (2 0*=8*8+ 7 200*1*(27+/ 5 0*+98 52 ( 7+ . * E782 =27+<* ' 0 725 M +( E+ 7 A8 <* 11 7 5 ( +/ 0 8/ +<* 7 (( <*3* =27+7 0 8/ +<* 207+9 /* * 0+88 / ' (7 8+ *8 1 7M ( 0*+98 =8/9/<* 5 ( +/ 5 />2*E ;8+ 0 782*EM 8 =/ 2. :( 5 12 +A 727+/ *8/(/;+<* 0(2 +<* 1 7 5 08+7 O,#,P O ,FP'
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7 0/ A+81 52 * 5 *E+ 1 7 1= =28 ( 5+2; / 7+0 ; 7+<* A21+(+2( O#P'
12 +A 727+/ =27+<* =8 5/1+ 7 0 G (3 A2 7 2(/8 <* ( 12 +. A 727+/ *8/(/;+<* / 7 =(* A8 <* 7 2*.5 (- 5 , 2 O, P' 3277 + 7 =27+<* 9/(* 5 A2[/ 928+2:( M =28A/+ 78 ( 7 1 7 :+ 7/( 8 9/+8 72:+(+. (2+ 2 7 3 E7 8+/8+ 8 ( +; *8/(/;+<* O # P' , , , ,.... 2 +A2 +A2 +A2 +A 727+/727+/727+/727+/ *8/(/;+<**8/(/;+<**8/(/;+<**8/(/;+<* 12 +A 727+/ *8/(/;+<* 2==282+ 7 52 (2 5 *E+ 1 - (2 78/+. + 1 5 0 + M 0/ 0 8 2 7 ( 25/( 0 7 7 ( 25*(7 ) * ' 2 =(*=287 5 =8 727+/ *8/(/;+<* 5 :*7 7 5 A2[/ + +5+ * M O P 12+ 0 872+ 02 5 =8 727+/ 2+;* *89+ 7 2=8 * 782*127+ 1 M * + 7 89 7+/ 0 +8*8;+02( /* * 200/*0 1 7 O,,P O,IP'
2 (2 12(25+ 5 ! +( / M ( 12 +A 727+/ *8/(/;+<* 3/: + 7 =2 - * 0 8/ /(/;+ 5/ 7 ( 5 ;8 5 8 0*= 827+/ 5 = 5 5 (3 7 5* 5 5/112; 78*07*82*E 5* > 7 1 89 *E 292 7 5 0/11 0 8 ( 782+7 1 7 O IFP' 872+ / 7 2> 5 A2+8 5 0(2 +A+027+/ 5 /* .;8/*= 0(+ +<* A/ 07+/ 5 (2 8 (27+/ 29 0 (3 OF P' . 8 1+ 8 /* .;8/*= 4 028207 8+ =28 * :825>H+ + M * 8+;+5+7 M 5 78/*. :( 0/; +7+A 7 = >0 +278+<* 29 0 5+(2727+/ 5* F 1 78+0*( ' . *E+ 1 /* .;8/*= 4 82((+ 5 =27+ 7 29 0 * 272E+ M * 78 1/8M * 02=2. 0+7 A/ 07+/ (( 8 5*+7 7 5 ( +/ A/02( 7 2(21+<* ' . 8 + 8 /* .;8/*= 4 82 1:( 5 =27+ 7 29 0 5 5> H+ + 9 8 M * 5> 287 8+ M 5 78/*:( 5 (2 = 8 / 2(+7 M 7 5 ( +/ A/02( 52 ( =*721 7 ( =2((+5*1 O JP' /8 5B* 0/((/<* 27+/ 2( A82 [2+ *8 (2 12(25+ 5 ! +( / /8;2 + =28 ( M ( 72:( 2* *8/(/;+<* 0(2 +<* 5 (2 12(25+ 2 7 =8 7 5+AA 8 11 7 (+ 29 0 (2 = > +/=27 /(/;+ 4 . > 58/1 E782=>821+52( =28 277 + 7 5 9/+ +;8/. 78+2( 4 29 0 * 5> 28. 7 8+ M * > 58/1 2H+ 7/.8+;+5 " >=/H+ + M 8+;+5+7 2E+2( M 5+AA+0*(7 53+ +7+27+/ 5 1/*9 1 7 $ 7 * 78 1:( 1 7 5 8 =/ ' . > 58/1 5> 7/ +<* =28 277 + 7 5 ;2 ;(+/ 5 :2 4 29 0 5 = 87*8:27+/ 5 (2 =/ 7*8 7 5 1/*9 1 7 0 /8 /.27 7/ +<* ' . > 58/1 272E+<* =28 277 + 7 5 9/+ 0 8 : ((/.7 2(21+<* 4 29 0 * 78 1. :( 1 7 =/ 7*82( 7 + 7 7+/ ( "78 1:( 1 7 :277 1 7 532+( 7 * 272E+ 5 1 1:8 $' > 58/1 / 7 828 1 7 + /( ' > 7/ + M 2H+ + 7 272E+ / 7 ( =(* /*. 9 7 =8 7 - 5 + 7 +7 928+2:( 0 G * 1U1 =27+ 7 O P'
, , ,
,.... ...,.,,, > 58/1> 58/1> 58/1> 58/1 E782=>821+52(E782=>821+52( 4444E782=>821+52(E782=>821+52(
2 >1=7/127/(/;+ E782=>821+52( 7 82==/87 52 #Y 5 02 (/ ( 8+ O P O# P OJ#P O, P O P'
2 (2 A/81 =28H+ / + O P - 5 :*7 =8 0/0 <*+ =8 5/1+ 0 G (325*(7 M (2 8+;+5+7 7 5+AA* 5 7>= E782=>821+52(M - =8 5/1+ 2 0 2E+2( ' * 5 :*7M 0 77 8+;+5+7 12 +A 7 <*3- (2 1280 M (2 727+/ 5 :/*7 7 + 72:( M (2 5 1280 7 82+5+ 29 0 7 52 0 - (3 >= 8.(/85/ ' 28 (2 *+7 M 0 77 8+;+5+7 7/*0 ( 1/*9 1 7 A+ M 8 52 7 5+AA+0+( ( ; 7 E 0*7 ' 77 >= 87/ + 2AA 07 2* + ( 1* 0( 5* 9+ 2; M 5* = 28> E 7 5 (2 (2 ;* ' ( 5 0/*( 4 . 5> = 2;+ 4 = /1 A8 <* 7 7 /*9 7 =8 0/0 ' (( 7 8 =/ . 2:( 53* >= 8 +2(/8 M ( 8+ <* 5 A2* 8/*7 7 +1=/872 7' . 5> 287 8+ 4 78 A8 <* 7 M (( 7 53+ 7 +7 928+2:( M ( 5 :+7 9 8:2( 7 82( 7+ 02 5 M 8 52 7 (2 9/+E 2 / /* (2 =28/( + + 7 ((+;+:( M 29 0 7/ 2(+7 5 8+8 7 5* =( *8 5> 7/ +<* ' . A20+ ! +( / + 29 0 * 9+ 2; A+; M ( 782+7 * = * /*(+; =28 (2 5> 7/ + 7 (2 8+;+5+7 ' 2 :/*0 7 78/*9 87 29 0 * 2 = 07 5* /*8+8 = 812. 7M =28A/+ 285/ +<* (/8 5 1/*9 1 7 9/(/ 72+8 O, IP O I P' * (2 A8 <* 0 5 (2 >1=7/127/(/;+ E782=>821+52( M +( A2*7 8 0 80 8 > 7 127+<* 1 7 (2 12(25+ 5 ! +( / 5 92 7 7/*7 78 1:( 1 7 53277+7*5 /* 7/*7 > 58/1 =28H+ / + 292 7 2 O P' , , , ,.... .... > H+> H+> H+> H+ ++++
A/81 5> H+ 7+<* =8 5/1+ 7 0 G (3 A2 7MO IPO F P 5+ 7+ ;* 78/+ A/81 =8+ 0+=2( 4O,JJPO, IP
. (2 A/81 272E+<* 29 0 78 1/8 + 7 7+/ ( 7 =/ 7*82( 7 272E+ 5 1 1:8 ' . (2 A/81 2H+ 7+<* 29 0 8+;+5+7 M :825>H+ + 7 78 1/8 5 8 =/ O,I P' A/81 / 7 828 1 7 =*8 7 (2 12)/8+7 / 7 1+E7 /* <* 7+ (( 52 (3 9/(*7+/ ' , , , ,.... ...F.FFF > 287 8+> 287 8+> 287 8+> 287 8+ 3 7 ( 1/5 5 =8 727+/ ( =(* A8 <* 7' (( 7 =8 7 0 G JY 5 02 OF P O #IP O JP O P' 2 5> 287 8+ 7 ( =(* /*9 7 1+E7 M 5> 7/ +<* M 272E+<* M >=/H+ 7+<* 7 = *5/:*(:2+8 ' . 2 5> 287 8+ >=/H+ 7+<* 200/1=2; (2 A/81 =28H+ / + M 29 0 5+AA+0*(7 -(3+ +7+27+/ 7 * >=/= / + ' . 2 5> 287 8+ 5> 7/ +<* 32 /0+ - * 5> 7/ + A20+2( M (+ ;*2( 29 0 * 0 *0 /. 7 1 7 7 * 7+1:8 782 ;( O,I P'
. 2 5> 287 8+ 272E+<* M 29 0 =2827+/ 5 >((2: 9/+8 E=(/ +9 "H(2E/= / + $ 9/+7 52 (2 A/81 = *5/ 0( 8 * ' . 2 5> 287 8+ = *5/:*(:2+8 29 0 * 9/+E A/80 7 1/ /7/ OF P' 2 5> 287 8+ = *7 B2 /0+ 8 - * /*8+8 5> 7/ +<* M * >= 8 2(+927+/ 7 * 78/*:( 5 (2 5 ;(*7+7+/ ' , , ,
,.... .... 72E+72E+72E+72E+ 7777 78 1/8 =/ 7*82( 7 + 778 1/8 =/ 7*82( 7 + 778 1/8 =/ 7*82( 7 + 778 1/8 =/ 7*82( 7 + 7 7+/7+/7+/7+/ ((((
77 A/81 7 =8 5/1+ 2 7 0 G (325*(7 ' 2 5 1280 A2+7 29 0 * 2*;1 727+/ 5* =/(>;/ 5 * 7 727+/ M 5 =2 +88 ;*(+ 8 M 29 0 5 288U7 M ( 78/ 0 / 0+(( 9 8 (3292 7 "272E+ 727+<* $' 78 1:( 1 7 7 5 ;82 5 21=(+7*5 M =/ 7*82( 7 + 7 7+/ (M =8/E+12( 7 5+ 72(' 78 1:( 1 7 + 7 8A 8 29 0 (2 ; . 7* (( M * 5> 1 78+ M * 2 > 0 8/ /1 78+ 7 * 5> 5+25/0/0+ + ' 78 1:( .
1 7 =/ 7*82( 7 :+ 9+ +:( 2* 12+ 7+ 5 =/ 7*8 M ; 82( 1 7 2*E =/+; 7 7 2*E =2*( "272E+ 0+ 7+<* $' 3277 + 7 5 9/+ 5 727/.8*:8/.7 2(21+<* "= 5/ 0*( 0 8 : (( *E *= . 8+ *8$ 7 8 =/ 2:( ' 32*78 12 +A 727+/ *8/(/;+<* 1/+ A8 <* 7 / 7 7 5 08+7 6 5 +; =>821+52*E 7 = *5/:*(:2+8 6 +; 5 2:+ H+M 5 255/HM 5 /AA12 M * >= 88 A( E+ 7 5 0(/ * OJ P O F P' E0 =7+/ (( 1 7M 5 08+ =+( =7+<* ; 82(+ /* =287+ (( M 1>/. 0(/ +<* /* 727 5 12( = *9 7 8 9 ( 8 (2 12(25+ M (( 8 =/ 5 7 /*9 7 12( 2* 782+7 1 7 2 7+0/1+7+2( O,I P' 78/*:( 0/; +7+A / 7 782 +7/+8 7 2778+:*2:( 2*E 0 2 ; 1 7 1 72. :/(+<* 6 ( =27+ 7 =8 7 7 5 78/*:( 5 1 1/+8 M 5 (2 8 0/ 2+ 2 0 M 5 (B277 7+/ 7 (B2(7 827+/ 5 = 8A/812 0 + 7 (( 07* (( 8 2(+ 2 7 828 1 7 * 72. :( 2* 5 5 1 0 782+72:( O,,,P O,# P O,I P O JP O P'
, , , ,...F.FFF 12 +A12 +A12 +A12 +A 727+/727+/727+/727+/ = >0 +278+<*= >0 +278+<*= >0 +278+<*= >0 +278+<* 78/*:( = >0 +278+<* A/ 7 =287+ + 8 7 5 (2 12(25+ ' 77 /7+/ 2 7 *87/*7 5 7 81+ =28 + ; 7 88+/ O,P O IP O #P' ( / 7 + 2*;*82*E "52 ,#Y 5 02 $ /* 200/1=2; 7 ( 12 +A 727+/ *8/(/;+<* ' ( / 7 2(/8 532*72 7 =(* 9 8 <* (2 >1=7/127/(/;+ *8/(/;+<* 7 292 0 O,, P' 3 9 72+( 5 12 +A 727+/ = >0 +278+<* 7 0/ +5 82:( M =28 /858 5 A8 <* 0 / 8 78/*9 4 g 8/*:( 7 >1+<* 6 ( 32;+7 A8 <* 11 7 53* 5 =8 +/ 5 ;829+7 928+2:( M 29 0 =28A/+ 5 200 1 (2 0/(+<* 9/+8 78/*:( :+=/(2+8 O,P' 7 727+9 5 *+0+5 / 7 =2 828 O P' 0/ 727 2* + * >= 8 1/7+9+7 7 * (2:+(+7 5 (3 *1 *8'
g 8/*:( 5 0/1=/87 1 76 1:( 5 /5+A+027+/ 5 0/1=/87 1 7M +88+72:+(+. 7 M 2;8 +9+7 M 0/( 8 +11/7+9 O, P <*+ *89+ 7 - (325/( 0 7 7 = *9 7 =2. 82N78 :2 2( 7 8 7285 8 ( 5+2; / 7+0 O, P' (3 E78U1 / = *7 0/ 727 8 5 78/*:( 5 0/1=/87 1 7 29 0 9+/( 0 7 207 2 7+. /0+2*E O P' g 8/*:( = >0 /7+<* 29 0 0/1=/87 1 7 :+G288 M 8 782+7 /0+2( 7 = >0 / 0 +G/. = 8 +A/81 ' 5 (+8 M 2((*0+ 27+/ 7 = 8 / 2(+7 0 +G/7>=+<* / 7 :+ 5 . 08+7 O,P O FP O F P' 872+ 78/*:( = >0 +278+<* / 7 8 9 8 +:( 2=8 ( 782+7 1 7 2(/8 <* 532*78 ( / 7 =2 ' , , ,
,.... 12 +A12 +A12 +A12 +A 727+/727+/727+/727+/ E782E782E782E782 *8/(/;*8/(/;*8/(/;*8/(/;++++<*<*<*<* , , , ,... .. ..,.,,, 77 + 777 + 777 + 777 + 7 =27/:+(+2+8=27/:+(+2+8=27/:+(+2+8=27/:+(+2+8 7 ;2 78/7 ;27 ;27 ;2 78/78/78/...+ 7.+ 7+ 7+ 7 7+ 2(7+ 2(7+ 2(7+ 2( 2 12(25+ =27+<* 7 ( 1/5 5 =8 727+/ ( =(* A8 <* 7 0 G (3 A2 7 - * Q; 1/> 5 - ,F 2 O,# P' 1/5 5 8 9 (27+/ 5 (3277 + 7 =27+<* 7 928+2:( A/ 07+/ 5* 725 9/(*7+AM ( = *7 32;+8 53* ( 927+/ 5 G>1 =27+<* 0 G 5 =27+ 7 2 >1=7/127+<* M 53* =27+7 0 8/ +. <* 207+9 29 0 * ( 927+/ 1/5 8 12+ = 8 + 72 7 5 782 21+ 2 O, P' +; =27+<* = *9 7 7825*+8 =28 * + *AA+ 2 0 =27+<* 2+;* M * =27+7 2+;* M * 0+88 / 5 0/1= O J P' B+ *AA+ 2 0 =27+<* 2+;* B+ *AA+ 2 0 =27+<* 2+;* B+ *AA+ 2 0 =27+<* 2+;* B+ *AA+ 2 0 =27+<* 2+;* 3/: 89 7+ (( 1 7 0 G ( A2 7 M ( 25/( 0 7 /* ( 25*(7 ) * ' (( 028207 8+ =28 (3+ 72((27+/ :8*72( 53* +07 8 + 7 M 53* 2 0+7 M 53* A+ 98 7 =28A/+ 53* 0 = 2(/=27 + ' +/(/;+. <* 1 7M (3 ( 927+/ 5 782 21+ 2 8+<* 7 2:+7* (( 1 7 + A 8+ *8 - , A/+ ( 92( *8 /812( M =8 5/1+ 2 7 *8 ( "0/ 782+8 1 7 - 0 <*+ 7 /:. 89 52 ( 2*78 A/81 5B =27+7 $'
78/*:( 5 (2 082 02* =28 5+1+ *7+/ 5 A207 *8 5 0/2;*(27+/ " A. A/ 58 Z# Y$M = *9 7 + 7 8A 8 8 29 0 (2 :+/= + =27+<* O JP' 3 =27+7 2+;* 3 =27+7 2+;* 3 =27+7 2+;* 3 =27+7 2+;* = *7 1+1 8 * =27+7 9+82( M (( 12 +A 7 =28 * 2 . 7 + M * +07 8 =8/;8 +9 1 7 08/+ 2 7M * A+ 98 M 5 5/*( *8 2:5/1+ 2( M 5 287 82(;+ 7 =28A/+ 5B* =27/ =( /1 ;2(+ O P' :+(2 :+/(/;+<* 5 . 0/*98 * >= 8:+(+8*:+ 1+ 1+E7 7 * 0>7/(> ' 2 0/ E+ 7 0 5B* =27+7 9+82( " 6 6 '''$ = *7 5 0( 0 8 * =27+7 A*(1+ 2 7 ' 2 0+88 / =27+<* 2 0+88 / =27+<* 2 0+88 / =27+<* 2 0+88 / =27+<* 0/ 7+7* - * 725 78 =8 0/0 5 (2 12(25+ M (( = *7 8 7 8 (/ ;7 1= 0/1= 0/11 (( = *7 5 0/1= 8 =28 (32==28+7+/ 53* 5 0/1=(+027+/ 0(2 +<* 6 * 2 0+7 M * 0+80*(27+/ 0/((27 82( 2:5/. 1+ 2( 7 * >= 87 +/ =/872( 0/1=(+<* 5 928+0 / /= 2;+ M 5 / . 5 1 5 1 1:8 + A 8+ *8 M 5 =( /1 ;2(+ 7 5B =27/1 ;2(+ ' 72:( 2* 5 0+88 / 5 0/1= 7 ( 1/5 5 8 9 (27+/ 5 (2 12(25+ 0 G ( *) 7 ) *. ' 3+ 0+5 0 5 0280+ /1 =27/0 ((*(2+8 7 =(* A2+:( 52 (2 12(25+ 5 ! +( / <* 52 ( 2*78 7+/(/;+ 5 0+88 / O,,JP O, FP' /* ( ) * =27+ 7 <*+ =8 7 7 * 277 + 7 =27+<* 0 8/ +<* + E=(+<* 29 0 /* 2 0+88 / 5 982+ 7 U78 5 =+ 7 =/*8 (2 12(25+ 5 ! +( / ' 2 ( 2 ( 2 ( 2 (+7 +2+7 +2+7 +2+7 +2 :+(+2+8:+(+2+8:+(+2+8:+(+2+8 4444 2 0+88 / =27+<* 7 (3 1/(> 1:( 7 U78 * 72. :( 2* 7>=+<* =/*8 (2 A/8127+/ 5 02(0*( 5 9/+ :+(+2+8 O # P' 02(0*( / 7 5 028207 8+ 7+<* =287+0*(+ 8 6 532==28 0 * +A/81 M 5 0/*( *8 9 87 A/ 0 7 # Y 5 ( *8 0/1=/ +7+/ 7/72( A2+7 5 0 /( 7 8/(' 2 (+7 +2 :+(+2+8 82+7 8 =/ 2:( 5 5/*( *8 2:5/1+ 2( =8 7 =28 ( A2 7 7 +( A2*7 A2+8 > 7 127+<* 1 7 (3 0 /;82= + - (2 8 0 80 5 (+7 +2 '
78/*:( ;2 78/.+ 7 7+ 2*E 27>=+<* = *9 7 U78 =8 7 6 5 2* M 5 9/1+ 1 7 M 5/*( *8 7 5+ 7 +/ 2:5/1+ 2( M * 2 /8 E+ 7 * 12(2+ O P' , , , ,.... .... 77 + 777 + 777 + 777 + 7 127/(/;+<*127/(/;+<*127/(/;+<*127/(/;+<* 4444 32 1+ 1/(>7+<* M (2 7 8/1:/= + M (2 ( *0/. *78/= + 7 ( 78/*:( 5 (2 082 / 7 ( 2 /12(+ <*+ 7/*0 7 ( ( 1 7 A+;*8 5* 2 ; 2* 0/*8 5 (2 12(25+ 5 ! +( / ' 32 1+ 1/(>7+<* 2==282N7 ( =(* /*9 7 0 G 5 *) 7 5 1/+ 5 # 2 - (3/002 +/ 53* 5 0/1= 27+/ =27+<* 2+;* 9 8 M (3 1/(> 7 (+ -(3+ +:+7+/ 5 G>1 8>7 8/0>72+8 7 - * ;82 5 <*2 7+7 5 0*+98 (+: 8 :8*72( 1 7 - (2 *+7 5 08/ 5 =27/0>7 M 0 <*+ + 5*+7 * 2 1+ 1/. (>7+<* 2+;*h - 7 7 5 //1: ;27+A 52 J Y 5 02 7 (32==28+7+/ 53* +07 8 -:+(*8+:+ / 0/ )*;* O JP' 2 ;27+9+7 5 7 7 5 //1: 5/ 7 (2 +:+(+7 7 9/+ + 5 # YM = 81 7 53 (+1+ 8 * 1/(> 2*7/.+11* 7 53+ 72*8 8 - 7/87 * 0/87+0/7 82=+ ' 32 2(> 5* A8/77+ 2 ;*+ <*+ = *7 1/ 78 8 (2 =8 0 5 0/8= 5 + G O #PM /* 0/8 5 =/ 07*27+/ :2 /= +( M = 81 7 292 7 7/*7 5 32 *8 8M 0/1=7 7 * 5 (2 7 8/1:/= + A8 <* 11 7 2 /0+ M 5 (32: 0 5 0 +G/0>7 /* 0/8 5 =282 +7 + 782. 8>7 8/0>72+8 ' 32 1+ 32;;829 02 53 1/882;+ 5+; 7+9 =28 8*=7*8 5 928+0 / /= 2;+ ' 3 AA 7 /E>527+A 5* 0*+98 0+80*(2 7 7 8 =/ 2:( 53* 7 8/1:/= + 7 5B* ( *0/ *78/= + 0/11 (( = *9 7 U78 /: 89 02 53 >= 8 =( + 1 (+ - (3 >= 87 +/ =/872( '
, , , ,.... ...F.FFF 3277 + 7 /0*(2+83277 + 7 /0*(2+83277 + 7 /0*(2+83277 + 7 /0*(2+8 (( 028207 8+ =28 (2 =8 0 53* 2 2* 0/8 5 0/*( *8 :8* 5/8 /* 9 87 M /11 (B2 2* 5 C2> 8 V ( + 0 8M (/02(+ - (2 = 8+= 8+ 5 (2 0/8 M 2 (28; *8 928+ 78 , 7 F 11 "A+;' , M,#$' ( /00*= ( =R( *= 8+ *8 =*+ ( =R( + A 8+ *8 7 3 7 5 - 7/*7 (2 0+80/ A 8 0 M +( 8 A( 7 (2 *80 28; 0*+98 5 (2 A20 =/ 7 8+ *8 5 (2 1 1:82 5 0 1 7 O ,,P' 7 2 2* 7 5 7 072:( -(3\ +( * 7 =28A/+ = *7 U78 /:) 07+9 <*3- (2 (21= - A 7 ' ; 82( :+(27 82(M +( = *7 U78 E0 =7+/ (( 1 7 * +(27 82(' ( 7 =8 <* 7/*)/*8 =8 7 52 ( A/81 *8/(/;+<* ' ( 7 * ( . 1 7 A/ 521 72( 2* 5+2; / 7+0 O, P 1U1 3+( 7 /: 89 2* 0/*8 53 =27 /=27 + 0 /( 727+<* =8/(/ ; / ! +( / + 6 7 (( <* (2 0+88 / :+(+2+8 =8+1+7+9 M (B =27+7 0 8/ +<* 207+9 M (2 0 /( 72 0 8/ +<* + 782 /* E782 =27+<* 7 (2 0+88 / 08>=7/; +<* ' 2 =8 0 5 (B2 2* 0/8 32 =2 5 0/88 (27+/ 29 0 (2 0*=8*8+ 12+ (( 7 0/88 ( 29 0 (2 9 8+7 5 (2 12(25+ ' =8 782+7 1 7M +( = *7 8 ;8 8 =8/;8 +9 1 7 + 9 8 5 2 A/8127+/ M 7/72( 1 7 /* =287+ (( 1 7' 2+ +( = *7 )212+ 5+ =282N78 M 7 / 9/(*7+/ 7 + 5 = 52 7 5 (B AA+020+7 5* 782+7 1 7 O,,JP' 7+78 E0 =7+/ (M * 02728207 7/*8 /( 7 5 08+7 ",J Y 5 02 $M ( B2;+7 5B* 5+ <* ;8+ /* :8* <*+ + ; 2* 0 78 5* 08+ 72((+ M 5B/^ =287 7 5 5 . =R7 825+2+8 8 1:(2 7 2*E = 72( 5B* 7/*8 /( "A+;',I$ + /* :+(27 82(M ;U 2 7 =2 (2 9+ +/ ( =(* /*9 7' 77 02728207 8 ;8 M 5 A2[/ =(* 8 ;*. (+ 8 2=8 ( 782+7 1 7 O,,JP'
a
b
Figure 15 : localisation de l'anneau de kayser-fleischer (a : vue face, b : vue profil)[302]
+;*8 , 4 (3 E21 - (2 (21= - A 7/ 78 * 2 2* 5 C2> 8.A( + 0 8M 0(2+8 1 7 9* 0/ 78 (B+8+ 9 87 0(2+8' OFP
, , , ,.... .... 77 + 7 877 + 7 877 + 7 877 + 7 8 2(2(2(2( 3277 + 7 8 2( 7 <*2 +1 7 0/ 72 7 12+ 8 7 ( =(* /*9 7 (27 7 ' 12 +A 727+/ 8 2( / 7 /*9 7 (+ - 5 ( +/ 7*:*(2+8 =8/E+12( 7 828 1 7 - * 277 + 7 ;(/1 8*(2+8 O P' 3277 + 7 7*:*(2+8 ; 58 * 5 A2*7 5 8 2: /8=7+/ 7*:*(2+8 =28 277 + 7 =8/E+12( 29 0 4 c >= 821+ /0+5*8+ ' c D(*0/ *8+ + 7 81+77 7 M A8*07/ *8+ ' c 8+0/ *8+ ' c >= 802(0+*8+ 7 = 8/02(0+ / ' c >= 8= / = 27*8+ ' 3 1:( 5 0 = 87*8:27+/ 1 72:/(+<* = *7 /002 +/ 8 5 +7 +2 8 2. ( >1=7/127+<* /* / ' %* (<* 02 5 > 58/1 5 2 0/ + *8 277 + 7 7*:*(2+8 =8/E+12( / 7 7 5 08+7 ' 20+5/ 7*:*(2+8 =28 277 + 7 5+ 72( 7 8 78/*9 828 1 7 5 1U1 <*3* + *AA+ 2 0 8 2( ' 3277 + 7 ;(/1 8*(2+8 0/ + 7 - * 5+1+ *7+/ 5 (2 A+(7827+/ ;(/1 8*(2+8 7 5* A(*E 2 ;*+ O, P' (( 12 +A 7 =28 * =8/7 + *8+ 6 *87/*7 2(:*1+ *. 8+ M * 127*8+ + 7 81+77 7 M 8 0+5+92 7 <*+ = *7 U78 * >1=7R1 + 2*;*82( 5 (2 12(25+ ' > 58/1 =27/8 2( 29 0 A/ 07+/ 7*:*(2+8 /812( 0/1=(+<* ; 82. ( 1 7 (3+ *AA+ 2 0 =27+<* 7 +( 0/ 9+ 7 53> 9+7 8 ( 5+*8 7+<* ' ;(/1 8*(/ = 8+7 29 0 > 58/1 = 8/7+<* - 0/1=( E +11* /* -; 7 2* + 5 08+7 O,,JP'
, , , ,.... ...#.### 77 + 777 + 777 + 777 + 7 / 7 // 7 / ./ 7 // 7 /... 287+0*(2+8287+0*(2+8287+0*(2+8287+0*(2+8 (( / 7 =2 E0 =7+/ (( M / 7 *87/*7 A8 <* 7 52 ( =/=*(2. 7+/ 2 +27+<* 29 0 * =8 5+( 07+/ 52 0 872+ A21+(( ' 3277 + 7 / 7 /.287+0*(2+8 7 =(*8+A207/8+ (( 4 c 28 AA 7 7/E+<* 5+8 07 5* 0*+98 *8 ( 0287+(2; M *8 (2 7821 / * 7 =28 5 . =R7 5 0*+98 + 782 > /9+2( O ,P' c 28 (320+5/ 7*:*(2+8 8 2( M A*+7 8 2( 5 = / = /8 7 5 02(0+*1M 0 77 27. 7 + 7 8 2( 7 8 =/ 2:( 53* 5 1+ 82(+ 27+/ / * ' c 28 (3+ *AA+ 2 0 =27+<* <*+ 2:/*7+7 - * / 7 /287 8/=27 + >= 878/= +<* 5/*(/*8 * 5 =/+; 7 7 5 0 9+(( O,,JP' * +9 2* / *EM / 0/ 727 5 / 7 /=27 + (+ - (2 5 1+ 82(+ 27+/ M A2+7 53/ 7 /=/8/ =8 0/0 <*+ 82+7 /: 892:( 0 G Y 5 12(25 M * / . 7 /12(20+ M * / 7 /5> 78/= + M 5 A8207*8 =/ 72 M <* (<* 02 53/ 7 /0 / 58+7 5+ <*2 7 / 7 7 82==/87 O ,P' * +9 2* 287+0*(2+8 M 7/*7 ( 287+0*(27+/ = *9 7 U78 277 + 7 M / 0/ . 727 5 82+5 *8 7 5 8 78+07+/ 287+0*(2+8 *87/*7 5 2 0 7 5 ; /*E 5 1U1 <*3* >= 8(2E+7 287+0*(2+8 ' 02 53287 8+7 8 0*88 7 / 7 7 5 . 08+7 =(*7R7 0 G (3 A2 7' +AA 8 7 2 /12(+ 825+/(/;+<* 8 78/*9 O,,JP 4 c / 5 27+/ A(/* 7 +88 ;*(+ 8 /* 0 / 582( ' c 2(0+A+027+/ =282.287+0*(2+8 2*E =/+ 7 53+ 87+/ 02= *(/.(+;21 72+8 ' c +/ - 7>= 53 0/0 7 5 8/ +/ =+= > 2+8 ' c +/ 5+ 0/9 87 :82( 7 / 7 /0 / 58/ 9 87 :82( E=(+<* 7 ( 5/*( *8 (/1:2+8 ' 0 / 58/02(0+ / 5 ; /*E 7 0 / 58/12(20+ 8/7*(+ / 7 1 7+/ '
, , , ,.... ...I.III 77 + 777 + 777 + 777 + 7 5/08+ +5/08+ +5/08+ +5/08+ + = 87*8:27+/ 5/08+ + / 7 (+ - (2 7/E+0+7 5* 0*+98 7 *82)/*. 7 5 78/*:( + 5*+7 =28 (3+ *AA+ 2 0 =27+<* O, P' > 1 /88 > 1 /88 > 1 /88 > 1 /88 4 1 /88 =8+12+8 /* 0/ 52+8 7 82==/87 0 G # Y 5 A 11 M =28 5> A/ 07+/ /928+ ' 72*E 53/ 78/; 7 A2+:( 82+ / 5 A2+:( 0/ 0 7827+/ 5 M 7 /* 5 (3+ *AA+ 2 0 5 =8/5*07+/ 53\ 78/; O I P' 3\ 78/; 7 0 2+8 =/*8 12+ 7 +8 (2 1+7/ 5 0 ((*( 5 ;82 *(/ 2 7 (2 7 0 2+8 =/*8 (328/1272 A/((+0*(2+8 M 8 92 0 (3+ 7/E+027+/ 0*=8+<* + 7 8A 8 29 0 (3207+9+7 5 (328/1272 A/((+0*(2+8 0 0+ E=(+<* 82+7 ( 78/*:( 5 (3/9*(27+/ 7 =28A/+ 5 29/87 1 7 =/ 72 O, P' 7 03 7 =280 <* ( 782+7 1 7 7 02=2:( 53+ 9 8 8 0 78/*:( ( 5+2; / 7+0 =8 . 0/0 7 +1=/872 7' >= 8=2827 >8/_5+ 7 0/ 52+8 2* 5 =R7 0*=8+<* O, P' 7/( 82 0 2* ;(*0/ = *7 2==282N78 8 (27+/ 29 0 =2 08 27/=27 + ' 8 7285 =*: 872+8 7 5 08+7 0 G (325/( 0 7' , , , ,... .. ..J.JJJ 77 + 777 + 777 + 777 + 7 0285+/92 0*(2+80285+/92 0*(2+80285+/92 0*(2+80285+/92 0*(2+8 2 =8 0 5 0*+98 - 5 5/ 2; ( 9 2* +9 2* 5* 0\ *8M *87/*7 52 ( A2+ 0 2* 5 + M 782N 5 78/*:( 5 (2 0/ 5*07+/ M * 0285+/1>/=27 + 0/ . ; 7+9 29 0 1>/0285+7 7 A+:8/ + 7 8 7+7+ (( O,##PM 5+AA 8 7 7>= 5328>7 1+
/7211 7 (2 A+:8+((27+/ 9 78+0*(2+8 <*+ 8 7 (2 02* 7+ (( 5 1/87 0285+2. <* *:+7 O,,JP'
8 78/*9 5 2 /12(+ ( 078/0285+/;82= +<* *+92 7 O,##P 4 . >= 878/= + 9 78+0*(2+8 58/+7 /* ;2*0 /* ;(/:2( '
. =/(28+ 27+/ =8 0/0 ' . /* 5 02(2; ' . 9 8 +/ 5 / 5 ' . E782 > 7/( =8 127*8 2*8+0*(2+8 /* 9 78+0*(2+8 ' . +:8+((27+/ 278+2( ' . (/0 + / 278+2(' . (/0 2*8+0*(/.9 78+0*(2+8 7>= /:+7G ' 3277 + 7 5 > 7 1 89 *E 2*7/ /1 O PM =28 200*1*(27+/ 5 0*+98 2* +9 2* 5* 78/ 0 0 8 :82(M E=/ ( 12(25 - =8 7 8 * >=/7 +/ /87 / 72. 7+<* 5 1U1 <*3* 8 =/ 2 /812( - (2 12 \ *98 5 92( 2(92 O P' 3277 + 7 0285+2<* *89+ 7 0 G ( 12(25 ! +( / + 2 =8 5/1+ 2 0 5 E 7 0 G 5 *) 7 5 5+AA 8 7 Q; OF#P' , , , ,... .. ... 77 + 777 + 777 + 777 + 7 5 (2 = 2* 7 55 (2 = 2* 7 55 (2 = 2* 7 55 (2 = 2* 7 5 = 2= 2= 2= 2 8888 78/*:( 5 (2 =+;1 727+/ 0*72 = *9 7 U78 128<* 12+ / 7 728. 5+A M / /7 (2 =8 0 5B* >= 8=+;1 727+/ :8* Q78 <*+ 8 = 07 ( 1*. <* * 7 =8 5/1+ 2* 5/ 5 =+ 5 7 (2 A20 2 7 8+ *8 5 )21: M (+ - * 5 =R7 5 1 (2 + ( (/ ; 5 (2 )/ 07+/ 5 81/ =+5 81+<* ' (* *( 2G*8 *8 ( / ;( / 7 5 08+7 0/11 <*+92( 7 5 (B2 2* 0/8 12+ / 7 828+ +1 7 / = 0+A+<* O,IP' , , , ,.... .... 77 + 7 +11* /(/;+<*77 + 7 +11* /(/;+<*77 + 7 +11* /(/;+<*77 + 7 +11* /(/;+<* B2 /0+27+/ - * =27+7 2*7/.+11* 7 0/ * ' 2 /0+27+/ - * 5 8. 127/1>/ +7 M * 1>2 7 + M * (*=* M * 0( 8/5 81+ /* * > 58/1 5 D//5 =2 7*8 M * 028 0 +11* /;(/:*(+ " ;$ 7 =(*7R7 82==/87 29 0 (2 = +. 0+((21+ O,,JP'