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Model Mathematics

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Component: environment

Component: J_stim

J_stim = \{\begin{matrix} IstimAmplitude if time \geq IstimStart \land time ≦ IstimEnd \land time - IstimStart - (⌊ \frac{time - IstimStart}{IstimPeriod} ⌋ IstimPeriod) ≦ IstimPulseDuration \\ 0 otherwise \end{matrix}

Component: membrane

\frac{d}{d time} (Vm) = J_in + J_out + J_stim

Component: J_in

J_in = \frac{h {Vm}^{2} (1 - Vm)}{tau_in}

Component: J_in_h_gate

\frac{d}{d time} (h) = \{\begin{matrix} \frac{1 - h}{tau_open} if Vm < V_gate \\ \frac{- h}{tau_close} otherwise \end{matrix}

Component: J_out

J_out = - (\frac{Vm}{tau_out})

Source: Derived from workspace Mitchell, Schaeffer, 2003 at changeset 25103ab3451d.

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A two-current model for the dynamics of cardiac membrane