Model Mathematics

E_Na = \frac{R T}{F} \ln (\frac{Nao}{Na_i}) \frac{d}{d t} (v) = 0 \frac{d}{d t} (X_na_h_inact) = \frac{x_na_h_inf_inact - X_na_h_inact}{tau_na_h_inact} \frac{d}{d t} (X_na_m_act) = \frac{x_na_m_inf_act - X_na_m_act}{tau_na_m_act} \frac{d}{d t} (X_na_j_inact) = \frac{x_na_j_inf_inact - X_na_j_inact}{tau_na_j_inact} i_na = g_Na {X_na_m_act}^{3} X_na_h_inact X_na_j_inact (v - E_Na)

V_tot_tenT = Vc_tenT + VSR_tenT Vc = \frac{V_tot Vc_tenT}{V_tot_tenT} V_SR = \frac{V_tot VSR_tenT}{V_tot_tenT}

m_3 = m_5 m_1 h_3 = h_5 h_1 j_3 = j_5 j_1 m_4 = \frac{1}{\frac{1}{m_2} + \frac{1}{m_6}} h_4 = \frac{1}{\frac{1}{h_2} + \frac{1}{h_6}} j_4 = \frac{1}{\frac{1}{j_2} + \frac{1}{j_6}} j_5 = h_5 j_6 = h_6 alpha_m_act = m_1 ⅇ^{\frac{v}{m_2}} beta_m_act = m_3 ⅇ^{\frac{v}{m_4}} x_na_m_inf_act = \frac{alpha_m_act}{alpha_m_act + beta_m_act} tau_na_m_act = \frac{1}{alpha_m_act + beta_m_act} + tau_m_const alpha_h_inact = h_1 ⅇ^{\frac{v}{h_2}} beta_h_inact = h_3 ⅇ^{\frac{v}{h_4}} x_na_h_inf_inact = \frac{alpha_h_inact}{alpha_h_inact + beta_h_inact} tau_na_h_inact = \frac{1}{alpha_h_inact + beta_h_inact} + tau_h_const alpha_j_inact = j_1 ⅇ^{\frac{v}{j_2}} beta_j_inact = j_3 ⅇ^{\frac{v}{j_4}} x_na_j_inf_inact = \frac{alpha_j_inact}{alpha_j_inact + beta_j_inact} tau_na_j_inact = \frac{1}{alpha_j_inact + beta_j_inact} + tau_j_const