Model Mathematics

I_ion = (- Y) i1_Vm - ((1.0 - Y) i0_Vm) \frac{d}{d time} (Y) = \frac{1.0}{T} (Y_infinity_Vm - Y) Y_infinity_Vm = \{\begin{matrix} 0.0 if Vm < -80.0 \\ 1.0 if Vm > -60.0 \\ \frac{Vm + 80.0}{20.0} otherwise \end{matrix} i1_Vm = \{\begin{matrix} 0.05 + 0.005 (Vm + 70.0) if Vm < -70.0 \\ 0.06 + 0.00425 Vm if Vm > 0.0 \\ 0.05 + \frac{0.01 (Vm + 70.0)}{70.0} otherwise \end{matrix} i0_Vm = i1_Vm + f_Vm f_Vm = \{\begin{matrix} 0.0784 + 0.02 (Vm + 74.3) if Vm < -74.3 \\ (-0.9884) + 0.0171 (Vm + 27.8) if Vm > -27.8 \\ af {Vm}^{3.0} + bf {Vm}^{2.0} + cf Vm + df otherwise \end{matrix}