Model Mathematics

i_Stim = \{\begin{matrix} - 20 if time \geq 10 \land time ≦ 10.5 \\ 0 otherwise \end{matrix} \frac{d}{d time} (V) = \frac{- ((- i_Stim) + i_Na + i_K + i_L)}{Cm}

E_Na = E_R - 115 i_Na = g_Na m^{3} h (V - E_Na)

alpha_m = \frac{0.1 (V + 25)}{ⅇ^{\frac{V + 25}{10}} - 1} beta_m = 4 ⅇ^{\frac{V}{18}} \frac{d}{d time} (m) = alpha_m (1 - m) - (beta_m m)

alpha_h = 0.07 ⅇ^{\frac{V}{20}} beta_h = \frac{1}{ⅇ^{\frac{V + 30}{10}} + 1} \frac{d}{d time} (h) = alpha_h (1 - h) - (beta_h h)

E_K = E_R + 12 i_K = g_K n^{4} (V - E_K)

alpha_n = \frac{0.01 (V + 10)}{ⅇ^{\frac{V + 10}{10}} - 1} beta_n = 0.125 ⅇ^{\frac{V}{80}} \frac{d}{d time} (n) = alpha_n (1 - n) - (beta_n n)

E_L = E_R - 10.613 i_L = g_L (V - E_L)