Model Mathematics

E_K = \frac{R T}{F} \ln (\frac{Ko}{Ki}) \frac{d}{d t} (X_to_act) = \frac{x_to_inf_act - X_to_act}{tau_to_act} \frac{d}{d t} (X_to_inact) = \frac{x_to_inf_inact - X_to_inact}{tau_to_inact} \frac{d}{d t} (v) = 0 g_to = r_0 i_to = g_to X_to_act X_to_inact (v - E_K)

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}

r_3 = r_5 r_1 s_3 = s_5 s_1 r_4 = \frac{1}{\frac{1}{r_2} + \frac{1}{r_6}} s_4 = \frac{1}{\frac{1}{s_2} + \frac{1}{s_6}} alpha_act = r_1 ⅇ^{\frac{v}{r_2}} beta_act = r_3 ⅇ^{\frac{v}{r_4}} x_to_inf_act = \frac{alpha_act}{alpha_act + beta_act} tau_to_act = \frac{1}{alpha_act + beta_act} + tau_r_const alpha_inact = s_1 ⅇ^{\frac{v}{s_2}} beta_inact = s_3 ⅇ^{\frac{v}{s_4}} x_to_inf_inact = \frac{alpha_inact}{alpha_inact + beta_inact} tau_to_inact = \frac{1}{alpha_inact + beta_inact} + tau_s_const