Model Mathematics

\frac{d}{d time} (V) = \frac{- (i_K + i_Ca + i_S)}{tau}

i_Ca = g_Ca m_infinity (V - V_Ca) J11 = (- g_Ca) \frac{\partial}{\partial V} (m_infinity) (V - V_Ca) - (g_Ca m_infinity \frac{V_Ca - V_K}{V - V_K})

m_infinity = {(1.0 + ⅇ^{\frac{V_m - V}{theta_m}})}^{-1.0}

i_K = g_K n (V - V_K) J12 = (- g_K) (V - V_K)

n_infinity = {(1.0 + ⅇ^{\frac{V_n - V}{theta_n}})}^{-1.0} \frac{d}{d time} (n) = \frac{delta (n_infinity - n)}{tau} J21 = delta \frac{\partial}{\partial V} (n_infinity) J22 = - delta

i_S = g_S S (V - V_K) J13 = (- g_S) k_S (V - V_K) k_S = \frac{tau}{tau_S} J33 = - k_S

S_infinity = {(1.0 + ⅇ^{\frac{V_S - V}{theta_S}})}^{-1.0} \frac{d}{d time} (S) = \frac{S_infinity - S}{tau_S} J31 = \frac{\partial}{\partial V} (S_infinity)

J = (\begin{matrix} J11 & J12 & J13 \\ J21 & J22 & 0 \\ J31 & 0 & J33 \end{matrix})