Model Mathematics

\frac{d}{d t} (q_Na_i) = - v_NaB \frac{d}{d t} (q_Na_o) = v_NaB \frac{d}{d t} (q_mem) = I_mem_NaB V_mem = \frac{q_mem}{C_m}

mu_Na_i = R T \ln (K_Na_i q_Na_i) mu_Na_o = R T \ln (K_Na_o q_Na_o) Af_NaB = mu_Na_i + (+ zNa) F V_mem Ar_NaB = mu_Na_o Am_NaB = zNa F V_mem v_NaB = \{\begin{matrix} kappa_NaB (ⅇ^{\frac{Af_NaB}{R T}} - (ⅇ^{\frac{Ar_NaB}{R T}})) if Am_NaB = 0 \\ \frac{\frac{kappa_NaB Am_NaB}{R T}}{ⅇ^{\frac{Am_NaB}{R T}} - 1} (ⅇ^{\frac{Af_NaB}{R T}} - (ⅇ^{\frac{Ar_NaB}{R T}})) otherwise \end{matrix} I_mem_NaB = (- zNa) F v_NaB