Table 3.

GPe neuron model equations

Current	Equation	Gating variables		Parameters
Il	gl * (vGPe − El)			gl = 0.1 El = −65
INa	$g_{Na}\ast m_{\infty }^3(v_{\mathit{GPe}})\ast h\ast (v_{\mathit{GPe}}-E_{Na})$	$m_{\infty }=\frac{1}{1+e^{\frac{-(v_{\mathit{GPe}}+37)}{10}}}$	$h_{\infty }=\frac{1}{1+e^{\frac{(v_{\mathit{GPe}}+58)}{12}}}$	gNa = 120 ENa = 55
			${\tau }_h=0.05+\frac{0.27}{1+e^{\frac{-(v_{\mathit{GPe}}+40)}{-12}}}$
IK	gK * n4 * (vGPe−EK)	$n_{\infty }=\frac{1}{1+e^{\frac{-(v_{\mathit{GPe}}+50)}{14}}}$		gK = 30 EK = −80
		${\tau }_n=0.05+\frac{0.27}{1+e^{\frac{-(v_{\mathit{GPe}}+40)}{-12}}}$
It	$g_t\ast a_{\infty }^3(v_{\mathit{GPe}})\ast r\ast (v_{\mathit{GPe}}-E_t)$	$a_{\infty }=\frac{1}{1+e^{\frac{-(v_{\mathit{GPe}}+57)}{2}}}$	$r_{\infty }=\frac{1}{1+e^{\frac{(v_{\mathit{GPe}}+70)}{2}}}$	gt = 0.5 Et = 0
			${\tau }_r=15$
ICa	$g_{Ca}\ast s_{\infty }^2(v_{\mathit{GPe}})\ast (v_{\mathit{GPe}}-E_{Ca})$	$s_{\infty }=\frac{1}{1+e^{\frac{-(v_{\mathit{GPe}}+35)}{2}}}$		gCa = 0.15 ECa = 120
Iahp	$g_{\mathit{ahp}}\ast (v_{\mathit{GPe}}-E_k)\ast (\frac{CA}{CA+10})$			gahp = 10 Eahp = −80
Isnge,ampa	gsnge,ampa * (vGPe−Esyn) * S	$\begin{array}{l}{t}_p=t_d+\frac{{\tau }_d\ast {\tau }_r}{{\tau }_d-{\tau }_r}\ast \text{ln}\frac{{\tau }_d}{{\tau }_r}\\ f=\frac{1}{-e^{-\frac{(t_p-t_d)}{{\tau }_r}}+e^{-\frac{(t_p-t_d)}{{\tau }_d}}}\\ S=\overline{g_{\mathit{syn}}}\ast f\ast (e^{-\frac{t-t_d}{{\tau }_d}}-e^{-\frac{t-t_d}{{\tau }_r}})\end{array}$		gsnge,ampa is uniformly distributed with mean = 0.15 Esyn = 0 $\overline{g_{\mathit{syn}}}=0.43$ τr = 0.4 τd = 2.5 td = 2 2 STN → 1 GPe
Isnge,nmda	gsnge,nmda * (vGPe−Esyn) * S	$\begin{array}{l}{t}_p=t_d+\frac{{\tau }_d\ast {\tau }_r}{{\tau }_d-{\tau }_r}\ast \text{ln}\frac{{\tau }_d}{{\tau }_r}\\ f=\frac{1}{-e^{-\frac{(t_p-t_d)}{{\tau }_r}}+e^{-\frac{(t_p-t_d)}{{\tau }_d}}}\\ S=\overline{g_{\mathit{syn}}}\ast f\ast (e^{-\frac{t-t_d}{{\tau }_d}}-e^{-\frac{t-t_d}{{\tau }_r}})\end{array}$		gsnge,nmda is uniformly distributed with mean = 0.001 Esyn = 0 $\overline{g_{\mathit{syn}}}=0.43$ τr = 2 τd = 67 td = 2 2 STN → 1 GPe
Igege	ggege * (vGPe−Esyn) * S	$S=\overline{g_{\mathit{syn}}}\ast \frac{t-t_d}{\tau }\ast e^{-\frac{t-t_d}{\tau }}$		Esyn = −85 $\overline{g_{\mathit{syn}}}=0.3$ τ = 5 td = 1 2 GPe → 1 GPe
Istrgpe	gstrgpe * (vGPe−Esyn) * S	$S=\overline{g_{\mathit{syn}}}\ast \frac{t-t_d}{\tau }\ast e^{-\frac{(t-t_d)}{\tau }}$		gstrgpe = 0.5 Esyn = −85 $\overline{g_{\mathit{syn}}}=0.3$ τ = 5 td = 5 10 Str → 1 GPe
Iappgpe	3