Model Mathematics

\frac{d}{d time} (V) = \frac{I_stim - (i_Na + i_K + i_Leak)}{Cm}

IStimC = I_stim

g_Na = m^{3.0} h g_Na_max i_Na = (g_Na_max m^{3.0} h + 0.14 e -2) (V - E_Na)

alpha_m = \frac{0.1 (- V - 48.0)}{ⅇ^{\frac{- V - 48.0}{15.0}} - 1.0}

beta_m = \frac{0.12 (V + 8.0)}{ⅇ^{\frac{V + 8.0}{5.0}} - 1.0}

\frac{d}{d time} (m) = alpha_m (1.0 - m) - (beta_m m)

alpha_h = 0.17 ⅇ^{\frac{- V - 90.0}{20.0}}

beta_h = \frac{1.0}{1.0 + ⅇ^{\frac{- V - 42.0}{10.0}}}

\frac{d}{d time} (h) = alpha_h (1.0 - h) - (beta_h h)

i_K = (g_K1 + g_K2 + g_K_add) (V + 100.0) g_K1 = 1.2 e -2 ⅇ^{\frac{- V - 90.0}{50.0}} + 0.015 e -2 ⅇ^{\frac{V + 90.0}{60.0}} g_K2 = 1.2 e -2 n^{4.0}

alpha_n = \frac{0.0001 (- V - 50.0)}{ⅇ^{\frac{- V - 50.0}{10.0}} - 1.0}

beta_n = 0.002 ⅇ^{\frac{- V - 90.0}{80.0}}

\frac{d}{d time} (n) = alpha_n (1.0 - n) - (beta_n n)

i_Leak = g_L (V - E_L)