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\frac{d}{d t} (q_i_1) = - v_i_m \frac{d}{d t} (q_i_2) = v_i_m \frac{d}{d t} (q_e_m) = (- z_q) F v_i_m u_f_m = u_i_1 + z_q F u_e_m u_r_m = u_i_2 u_i_1 = RT \ln (K_q_i_1 q_i_1) u_i_2 = RT \ln (K_q_i_2 q_i_2) v_i_m = kappa_i_m (ⅇ^{\frac{u_f_m}{RT}} - (ⅇ^{\frac{u_r_m}{RT}})) u_nernst = \frac{RT}{z_q F} \ln (\frac{K_q_i_2 q_i_2}{K_q_i_1 q_i_1})

Source: Derived from workspace The Physics of Physiology - Example 8: Membrane ion channels at changeset ca0ee1a16a2b.

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FAIRDO BG example 3.9.cellml