Table 2 Ionic currents of hippocampal (CA1) and RN.

From: Optimal solid state neurons

IDChannelCurrent densityCA1RN
NaTTransient Na+\({J}_{\mathrm{NaT}}={g}_{\mathrm{NaT}}{m}^{3}h({E}_{\mathrm{Na}} - V)\)YesYes
NaPPersistent Na+\({J}_{\mathrm{NaP}}={g}_{\mathrm{NaP}}m({E}_{\mathrm{Na}}-V)\)YesYes
KNon-inactivating K+\({J}_{\mathrm{K}}={g}_{\mathrm{K}}{m}^{4}({E}_{\mathrm{K}}-V)\)YesYes
ARapidly inactivating K+\({J}_{{\mathrm{K}}_{\mathrm{A}}}={g}_{{\mathrm{K}}_{\mathrm{A}}}{m}^{4}h({E}_{\mathrm{K}}-V)\)YesYes
AHPCalcium-activated K+\({J}_{{K}_{\mathrm{AHP}}}={g}_{{\mathrm{K}}_{\mathrm{AHP}}}m({E}_{\mathrm{K}}-V)\)d.d.Rare
CaLHigh threshold Ca2+\({J}_{\mathrm{CaL}}=\rho {m}^{2}{J}_{\mathrm{Ca}}\)d.d.Rare
CaTLow threshold Ca2+\({J}_{\mathrm{CaT}}={m}^{2}h{J}_{\mathrm{Ca}}\)d.d.Rare
HCNHyperpolarisation-activated cation\({J}_{\mathrm{HCN}}={g}_{\mathrm{HCN}}h({E}_{\mathrm{HCN}}-V)\)d.d.d.d.
MMuscarinic-sensitive K+\({J}_{\mathrm{M}}={g}_{\mathrm{M}}m({E}_{\mathrm{K}}-V)\)YesNo
LeakLeak channels\({J}_{\mathrm{L}}={g}_{\mathrm{L}}({E}_{\mathrm{L}}-V)\)YesYes
  1. RN respiratory neuron, d.d. distal dendrite
  2. Ion current densities \({J}_{\alpha }\) of conductance models as a function of ionic conductances \({g}_{\alpha }\), reversal potentials \({E}_{\mathrm{Na}}\approx +45\) mV, \({E}_{\mathrm{K}}\approx-90\) mV, \({E}_{\mathrm{HCN}}=-43\) mV70 and maximum calcium current \({J}_{\mathrm{Ca}}\) The ionic currents of the solid-state model \({I}_{\alpha }=\ ({I}_{m}-{I}_{h})\theta ({I}_{m}-{I}_{h})\) are given by Eq. (10). Prevalence of ion channels in CA1 neurons48 and respiratory neurons55,56 distinguishing soma and distal dendrites (d.d.)