Working with a computational model for high frequency stimulation
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Working with a computational model for high frequency stimulation Alejandro Pascual. N° 5890 Avril 2006. ISSN 0249-6399. ISRN INRIA/RR--5890--FR+ENG. Thème BIO. apport de recherche.
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(29) F=:_ . Error index. Period = 40 ms. Coef.of var.. Period = 40 ms. 1.0 1.0 0.8 0.8 0.6. 0.6. 0.4. 0.4 Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.2. {%. 0.0. Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.2 0.0 Ampl.. 0. 50. Error index. 100. 150. 200. 250. Ampl.. 300. 0. Period = 20 ms. 50. Coef.of var.. 100. 150. 200. 250. 300. 250. 300. 250. 300. 250. 300. Period = 20 ms. 1.0 1.0 0.8 0.8 0.6. 0.6. 0.4. 0.4 Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.2. ^&%. 0.0. 0.0 Ampl.. 0. 50. Error index. 100. 150. 200. 250. Coef.of var.. 100. 150. 200. Period = 6 ms. 1.0 0.8. 0.6. 0.6. 0.4. 0.4. 0.2. Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.2. 0.0. 0.0 Ampl. 0. 50. Error index. 100. 150. 200. 250. 0. 50. Coef.of var.. Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.8. Ampl.. 300. Period = 3 ms. 1.0. 100. 150. 200. Period = 3 ms. 1.0 0.8. 0.6. 0.6. 0.4. 0.4. 0.2. |_%. 50. 0. Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.8. Ampl.. 300. Period = 6 ms. 1.0. v%. Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.2. Pulse dur. = 0.15 ms Pulse dur. = 0.3 ms Pulse dur. = 0.6 ms Pulse dur. = 0.9 ms. 0.2. 0.0. 0.0 Ampl. 0. 50. 100. 150. 200. 250. 300. Ampl. 0. 50. 100. 150. 200. ,_bedh`kmN Z}B1lkmkmadk _wx:|ZN ¥L$ EI %$cbN Ä[´v1adcbh`M(x&% {ox:|¢v1aXN y:v1_wN/xF[ad{okm_g{[R_badxL$ CV %$km_weFIF[v1adcbh`M(x&% |`N1CN1xL|ZN/xLv Nzadx G, UL{ok{oM(N [mN1kY1£ 1§{FvIkma¦½v adkmkmN/YR:aFxL|`YG[ma]{]|Z_w CN/kRN/xi[J),<UCN1km_waZ|.}G{% 40 ms $ Hz %?d@ ^5% 20 ms $ 50Hz %?X@ v% 6 ms $ 167 Hz %?@i|_% 3 ms $ 333 Hz %¡£\1§{dvI`cwad[v1adxi[m{d_wxLY+|Z_w CN/kRN/xF[ [m25 km{Fv N8Y1XadxLNtaFk$N/{dvI G, U)`h`cgY\N|ZhLkm{o[R_badx¾} @ 0.3 ms @ ◦) 0.6 ms @ ) 0.9 ms £Hkm{Fv N8Y v1adxLYR_gYp[$ao_wxi[mN1km:aFcb{o[RN/|)CN1kRadkmM({dxLv NYRaZv kmN/YJ∗){o0.15 ei{o_bxLms Yp[$Y\[R_b×) Mh`cg{[m_waFx {dM]Lcw_w[RhL|`N_wx pA £ [
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(46) F=:_. ²/°. Error index. Thalamic cell responsiveness. Coef. of var.. Thalamic cell responsiveness. 1.0 1.0 0.8 0.8 0.6 0.6 0.4. 0.4. 0.2. 0.2. 0.0. 0.0 f (Hz) 0. 20. 40. 60. 80. 100 120 140 160 180 200. f (Hz) 0. 20. 40. 60. 80. 100 120 140 160 180 200. ,_bedh`kmN Z} 1lkmkRaFk_bxL|ZN1O ¥ $ % $cbN Ä?[ %J{oxL| v aXN v1_wN/xi[Jad{okm_g{[R_badO x $ % $¨kR_bedIi<[ %{FYRYRaZv _g{[RN8|[ma´[mI`N [mIL{ocg{oM(_gvv N/cwc¾M(aZ|ZN/c¾kRN8Y\EI Cadx:Y\_bdN/x`N/YmYJv1{o:{o^`_bcw_w[pWd`adkr|Z_w CN/kRN/xi[rkRN8fiCV h`N1xLv1_wN8YJao[RI`N [RI`N_bx`I`_b^`_w[RadkmW YR_bedxL{dc £ jlhLcbYRN |Zh`k{[R_badx¼ao[mI`N¢_wx`IL_w^`_w[RaFkRW½YR_bedxL{dcz¦J{dY {ocb¦J{¤WXY)N/fihL{dct[maÀIL{ocwao[RI`NCN1km_waZ|.£ j<N/k\aFkRM{ox:v N YRv1adkmN/Y¦+N/kRN v aFM(`hZ[RN8| hLY\_bx`e][RILNcb{FYp[ 5 s ao<{]YR_bMh`cg{[m_waFx[m_wM(N_bxF[mN1km{oc.ao 10 s £ h:Y\N8|][RaM(aZ|ZN/5c Czjl_C_wxL`hZ[mY/£ T¢NAY\[RhL|Z_bN/||`NA|ZN/:N/xL|ZN1x:v Ntad[RI`Nt[RIL{dcb{dM]_gvrv1N1cbc:kmN/YR:aFxLYR_wFN1x`N8YRY<aFx [mI`N h`xL|L{oM(N1xi[m{dckRN8fih`N1xLv1W ao s(t) £ T¢N`kmN/Ymv km_w^CN/| s(t) [maIL{¤dN {]:N/kR_baZ|Z_bvYRM(aXao[RILN/| YRfihL{dkRNz¦{¤FNtaFkRM } s(t) = S Y (sin (2πfinh (t − dinh ))) (1 − Y (sin (2πfinh (t − dinh + winh )))) ¦$ILN1kmN[RI`N YR_weFM]aF_b|L{oclhLxLv¡[m_waFx Y (·) IL{FY [mI`N aFkRM Y (·) = 1 + exp − · −1 ¦$_w[RI σ = Y σY ( £ J H ` I N o { ( M ` b c _ m [ L h Z | N ¦ F { Y \ Y / N w c 8 N ¡ v R [ 8 N ¯ | F { 1 v 1 v d a k Z | w _ L x e m [ ) a m [ ` I N L h R Y L h o { G c d { w c ` h 8 N Y d a L ^ R Y 1 N m k d 8 N ® | b _ ¢ x [RI`N 0.001 S = 2.5. YR_bMh`cg{[m_waFxLY v1{dkRkm_bN/|¯adhZ[¦$_w[RI@[RI`Nv1adM(`cbN [mN M(aX|`N1c)$ Y\N/NyLeFh`kRN°i{ [Rav1adM(L{dkRN {dM]Lcw_w[RhL|`N/Y ad % £<HJ_bM(NrY\IL_Ä[ d = −90 ms ¦{FYGY\N/cwN8v¡[mN/|]{okm^`_[mkm{dkR_bcbWd£HJILN+hLxL|`{oM(N/xF[{ocZkmN/fih`N/xLv W f ad s(t) ¦J{dY${okm_bN/|ªYRN1cbinh N/v¡[m_wxLe¤{dcwhLN/Y$kmadM {cb_wx`N8{okmcwW Y\:{dv N8| Y\N1[tao<kmN/fih`N1x:v _bN/Yr^CN [p¦N1N/x 1 Hzinh{dxL| s(t) _bx adk|ZN1k [RaªN1M´h`cg{[RN Czjl_lyLkm_bx`e®_bx[RI`2 N 6\L{dkR«X_bxLY\aFx`_g{o+x 8 $(6pcba¦ 8(kRN8fFhLN1xLv1EW % {dxL| 6R ,GU 200 |`kR_bdHz N/+x 8$ 6\I`_weF+I 8 kmN/fih`N1x:v W %rY\[m{o[RN/Y/£zjlh`cgY\N(|Zh`k{[m_waFxLYr¦$I`N/kRN]Y\N/cwN8v¡[mN/|ªN8fFh:{oc[Ra IL{ocwG[RI`N]CN1km_waZ|.} £ winh = 2f1 HJI`NCN1km_baX|`_bvzN ¥`v1_[{[RaFkRW_wx`LhZ[tv h`kmkmN1xi[$¦{FY+«FN1Z[rhLxLvIL{oxLedN/|¦$_[mI [RI`N aFkRM } inh. ¦$ILN1kmN. iexc (t) = Iexc Y (sin (2πfexc (t − dexc ))) (1 − Y (sin (2πfexc (t − dexc + wexc )))). . $¦$I`_gvIv1adkmkRN8Y\CadxL|LYJ[Ra. kRN8fih`N1xLv1W %¡. pA Iexc = 8 (µm) Texc = 25 ms 40 Hz w exc = 5 ms 2 o { : x | g _ J Y R [ ` I N m Y o { ( M N R Y w _ F e ] M F a b _ L | o { C c ` h L x. v R [ b _ d a ª x o { b c R k 8 N d { Z | W : h \ Y 8 N . | £ dexc = 80 ms HJI`N)N1kmkRaFk_wx:|ZN Y¥ (·)EI {dxL| v aXN1y:v _bN1xi[´ad$¤{dkR_g{[m_waFx CV {dYmY\aZv1_b{o[RN/|¯[maª[RI`N[RIL{dcb{dM(_bv v1N1cbc kmN/YRCadxLYR_wFN1x`N8YRY[ma_w[mY§N ¥`v _w[m{o[RadkmW]:N/kR_baZ|Z_bvr_wx`LhZ[+¦J{dY+v1{ocgv hLcb{o[RN/|{FYlN1¥XLcb{d_wx`N8|(_wx)Y\N8v¡[R_badx L£ _be. $ %. 4$. %. , [.
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(50) !. ²¤ . 6\),<U |Zkm_bdN1xE8A_wxLI`_w^L_[m_waFx. 6pjG{okm«X_wx:Y\aFx`_b{dx+8t_bx`I`_b^`_[m_waFx s. Total synaptic input. s. 3.0. 3.0. 2.5. 2.5. 2.0. 2.0. 1.5. 1.5. 1.0. 1.0. 0.5. 0.5. 0.0 -0.5. 0.0. 0. 50. v (mV). 100. 150. 200. 250. 300. 350. t (ms) 400. Thalamic cell responsiveness. -0.5. 0. 50. v (mV). 10. 100. 150. 200. 250. 300. 350. t (ms) 400. 350. t (ms) 400. Thalamic cell responsiveness. 10. 0. 0. -10. -10. -20. -20. -30. -30. -40. -40. -50. -50. -60. -60. -70. -70. -80 -90. Total synaptic input. -80 0. 50. 100. 150. 200. 250. 300. 350. t (ms) 400. -90. 0. 50. 100. 150. 200. 250. 300. ,_bedh`kmN`\} 6 ¾a¦ 8$cbN Ä<[ %r{oxL | 6\I`_weF+I 8$¨kR_bedIi?[ %+kRN8fFhLN1xLv1W`kmN/Ymv km_w^CN/|)_bx`I`_b^`_[m_waFxªY\_bedxL{dc {d``cb_wN8| [ma[RILN [RI:{ocg{oM(_bv´v N/cwcM]aZ|ZN/c{dxL| [mI`N´v1adkmkRN8Y\CadxL|`_wx`e][mIL{ocg{oM(_gvv N/cwckRN8Y\Cadx:Y\_bdN/x`N/YmYJ[Rs(t) a[RI`N]YR{dM(N N1¥`v _w[m{[madkmW _wx`LhZ[ v h`kmkRN/xi7 [ $Lcwad[\[RN8|_bx pA _bx¯[RI`NYm{oM(N´YRh`^ZyLeFh`kmN]{FYt[mI`N]M]N/M^`k{oxLN´Fadcw[m{oeFN F a z k 1 v d a ( M L d { R k g _ \ Y F a ª x : F a R k C d a _gYRN/<Y %¡£ ,`h`xL|L{oM((µm) N1xi[m{dckmN/fih`N/xLv _bN/YAao adkA[RI`B N 6\cwa¦ 8{ox:Q | 6\I`_weF+I 8kRN v fih`N/xLv W¯v1{dYRN/Y {dkRN 11.5 Hz {dxL| 116 Hz kmN/YR:N8v¡[R_bdN/cwWF£HJ_wM(N s(t) {¥Z_gY IL{dY ^CN1N/xYRI`_wÄ[RN8|aFk v cg{okm_[pWF _bx[mI`N yLeFh`kRNv1adkmkRN8Y\CadxL|LY§[ma t = 8000 ms £ t=0 2. [\[ Ñ]_^?`?a?b.
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