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\frac{d}{d t} (q_1) = - v_r \frac{d}{d t} (q_2) = v_r u_f = u_1 u_r = u_2 u_1 = RT \ln (K_q_1 q_1) u_2 = RT \ln (K_q_2 q_2) v_r = kappa_r (ⅇ^{\frac{u_f}{RT}} - (ⅇ^{\frac{u_r}{RT}}))

Source: Derived from workspace The Physics of Physiology - Example 4: A simple biochemical reaction at changeset 7166e945597f.

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FAIRDO BG example 3.4.cellml