Model Mathematics

\frac{d}{d time} (V) = \frac{- (i_CaL + i_CaT + i_K_DR + i_K_Ca + i_Leak)}{Cm}

E_Ca = V \frac{Cai - (Cae ⅇ^{- (\frac{2.0 F V}{R T})})}{1.0 - (ⅇ^{- (\frac{2.0 F V}{R T})})} E_K = V \frac{Ki - (Ke ⅇ^{- (\frac{F V}{R T})})}{1.0 - (ⅇ^{- (\frac{F V}{R T})})}

i_CaL = g_CaL m^{2.0} E_Ca

m_infinity = \frac{1.0}{1.0 + ⅇ^{- (\frac{V - (-12.0)}{12.0})}} tau_m = \frac{tau_m_}{ⅇ^{\frac{V - (-60.0)}{22.0}} + 2.0 ⅇ^{- (2.0 \frac{V - (-60.0)}{22.0})}} \frac{d}{d time} (m) = \frac{m_infinity - m}{tau_m}

m_infinity = \frac{1.0}{1.0 + ⅇ^{- (\frac{V - (-30.0)}{10.5})}} tau_m = \frac{tau_m_}{ⅇ^{\frac{V - (-60.0)}{22.0}} + 2.0 ⅇ^{- (2.0 \frac{V - (-60.0)}{22.0})}} \frac{d}{d time} (m) = \frac{m_infinity - m}{tau_m}

h_infinity = \frac{1.0}{1.0 + ⅇ^{\frac{V - (-57.0)}{5.0}}} \frac{d}{d time} (h) = \frac{h_infinity - h}{tau_h}

n_infinity = \frac{1.0}{1.0 + ⅇ^{- (\frac{V - (-20.0)}{4.5})}} \frac{d}{d time} (n) = \frac{n_infinity - n}{tau_n}

j_exch = \frac{Ca_eq - Cai}{tau} j_in = (- alpha) (i_CaL + i_CaT) j_eff = vp \frac{{Cai}^{2.0}}{{Cai}^{2.0} + {Kp}^{2.0}}