Table 3 Parameter values for system ( 1a )–( 1g )

Fast \({\mathrm{Na}}^{+}\) (\(I_{\mathrm{Na}}\))

\(\bar{g}_{\mathrm {Na}}=150~\mbox{nS}\), \(RT/F=26.54~\mbox{mV}\), \(\mathrm{Na}_{\mathrm{o}}=120~\mbox{mM}\)

\(V_{m1/2} = -43.8~\mbox{mV}\), \(k_{m} = 6~\mbox{mV}\), \(\tau_{m \max} = 0.25~\mbox{ms}\), \(V_{\tau m1/2} = -43.8~\mbox{mV}\), \(k_{\tau m} = 14~\mbox{mV}\)

\(V_{h1/2} = -67.5~\mbox{mV}\), \(k_{h} = -10.8~\mbox{mV}\), \(\tau_{h \max} = 8.46~\mbox{ms}\), \(V_{\tau h1/2} = -67.5~\mbox{mV}\), \(k_{\tau h} = 12.8~\mbox{mV}\)

Persistent \({\mathrm{Na}}^{+}\) (\(I_{\mathrm{NaP}}\))

\(\bar{g}_{\mathrm{NaP}} = 0~\mbox{nS}\)

\(V_{m1/2} = -47.1~\mbox{mV}\), \(k_{m} = 3.1~\mbox{mV}\), \(\tau_{m \max} = 1~\mbox{ms}\), \(V_{\tau m1/2} = -47.1~\mbox{mV}\), \(k_{\tau m} = 6.2~\mbox{mV}\)

\(V_{h1/2} = -60~\mbox{mV}\), \(k_{h} = -9~\mbox{mV}\), \(\tau_{h \max} = 5\text{,}000~\mbox{ms}\), \(V_{\tau h1/2} = -60~\mbox{mV}\), \(k_{\tau h} = 9~\mbox{mV}\)

In the case of non-inactivating \(I_{\mathrm{NaP}}\), h = constant = 0.4

\(\mathrm {K}^{+}\) delayed rectifier (\(I_{\mathrm {K}}\))

\(\bar{g}_{\mathrm {K}} = 160~\mbox{nS}\), \(\mathrm{K}_{\mathrm{o}}=4~\mbox{mM}\), \(\mathrm{K}_{\mathrm{i}}=140~\mbox{mM}\)

\(A_{\alpha}= 0.01\), \(B_{\alpha}= 44~\mbox{mV}\), \(k_{\alpha}= 5~\mbox{mV}\), \(A_{\beta}= 0.17\), \(B_{\beta}= 49~\mbox{mV}\), \(k_{\beta}= 40~\mbox{mV}\)

\({\mathrm{Ca}}^{2+}\) (\(I_{\mathrm{Ca}}\))

\(\bar{g}_{\mathrm{Ca}} = 0.00065~\mbox{nS}\), \(\mathrm{Ca}_{\mathrm{o}}=4~\mbox{mM}\)

\(V_{m1/2} = -27.5~\mbox{mV}\), \(k_{m} = 5.7~\mbox{mV}\)

\(V_{h 1/2} = -52.4~\mbox{mV}\), \(k_{h} = -5.2~\mbox{mV}\)

\({\mathrm{Ca}}^{2+}\)-activated nonspecific (\(I_{\mathrm{CAN}}\))

\(\bar {g}_{\mathrm{CAN}} = 3~\mbox{nS}\), \(K_{\mathrm{CAN}} = 0.00074~\mbox{mM}\), n = 0.97

\({\mathrm{Na}}^{+}/{\mathrm{K}}^{+} {\mathrm{pump}} (I_{\mathrm{Pump}})\)

\(R_{\mathrm{Pump}} = 200~\mbox{pA}\), \({\mathrm{Na}}_{\mathrm{ieq}}=15~\mbox{mM}\), \(K_{p} = 15~\mbox{mM}\)

Leakage (\(I_{\mathrm {L}}\))

\(g_{\mathrm {L}} = 2.5~\mbox{nS}\)

Excitatory synaptic (\(I_{\mathrm{SynE}}\))

\(g_{\mathrm{SynE}} = 20~\mbox{nS}\), \(g_{\mathrm{tonic}}=0.78~\mbox{nS}\)