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E_0 = q_3 + q_4 \frac{d}{d t} (q_1) = - v_1 \frac{d}{d t} (q_2) = v_2 \frac{d}{d t} (q_3) = v_2 - v_1 \frac{d}{d t} (q_4) = v_1 - v_2 v_1 = kappa_1 (K_1 q_1 K_3 q_3 - (K_4 q_4)) v_2 = kappa_2 (K_4 q_4 - (K_2 q_2 K_3 q_3)) v_SS = \frac{E_0 kappa_1 kappa_2 K_3 K_4 (K_1 q_1 - (K_2 q_2))}{K_4 (kappa_1 + kappa_2) + kappa_1 K_1 K_3 q_1 + kappa_2 K_2 K_3 q_2} v_max = E_0 kappa_2 K_4 k_m = \frac{(kappa_1 + kappa_2) K_4}{kappa_1 K_1 K_3} v_MM = v_max \frac{q_1}{k_m + q_1}

Source: Derived from workspace The Physics of Physiology - Example 6: An enzyme-catalyzed reaction and Michaelis-Menten kinetics at changeset b70c68cac481.

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FAIRDO BG example 3.6.cellml