Model Mathematics

Ii = INa + IK + Ileak minus_V = - V g = gK + gNa + gleak_max

INa = gNa (V - VNa) gNa = gNa_max m^{3.0} h

\frac{d}{d time} (X) = alpha_X (1.0 - X) - (beta_X X)

\frac{d}{d time} (X) = alpha_X (1.0 - X) - (beta_X X)

alpha = \frac{0.1 (V + 25.0)}{ⅇ^{\frac{V + 25.0}{10.0}} - 1.0} phi

beta = 4.0 ⅇ^{\frac{V}{18.0}} phi

alpha = 0.07 ⅇ^{\frac{V}{20.0}} phi

beta = \frac{1.0}{ⅇ^{\frac{V + 30.0}{10.0}} + 1.0} phi

phi = 3^{\frac{T - 6.3}{10}}

IK = gK (V - VK) gK = gK_max n^{4.0}

\frac{d}{d time} (X) = alpha_X (1.0 - X) - (beta_X X)

alpha = \frac{0.01 (V + 10.0)}{ⅇ^{\frac{V + 10.0}{10.0}} - 1.0} phi

beta = 0.125 ⅇ^{\frac{V}{80.0}} phi

phi = 3^{\frac{T - 6.3}{10}}

Ileak = gleak_max (V - Vleak)

V = \{\begin{matrix} V_clamp if time > t_start \land time < t_end \\ 0.0 otherwise \end{matrix}

X_s = \frac{alpha_X}{alpha_X + beta_X}

X_s = \frac{alpha_X}{alpha_X + beta_X}

X_s = \frac{alpha_X}{alpha_X + beta_X}

alpha = \frac{0.1 (V + 25.0)}{ⅇ^{\frac{V + 25.0}{10.0}} - 1.0} phi

beta = 4.0 ⅇ^{\frac{V}{18.0}} phi

alpha = 0.07 ⅇ^{\frac{V}{20.0}} phi

beta = \frac{1.0}{ⅇ^{\frac{V + 30.0}{10.0}} + 1.0} phi

alpha = \frac{0.01 (V + 10.0)}{ⅇ^{\frac{V + 10.0}{10.0}} - 1.0} phi

beta = 0.125 ⅇ^{\frac{V}{80.0}} phi

phi = 3^{\frac{T - 6.3}{10}}