Model Mathematics

\frac{d}{d time} (q_S_i) = v_ReHyd \frac{d}{d time} (q_S_o) = - v_ReSBind \frac{d}{d time} (q_E_ADP) = (- v_ReSBind) + v_ReRel \frac{d}{d time} (q_E_ATP) = v_ReABind - v_ReSBind \frac{d}{d time} (q_ATP) = - v_ReABind \frac{d}{d time} (q_ADP) = v_ReABind \frac{d}{d time} (q_Pi) = v_ReHyd \frac{d}{d time} (q_S_E_ATP) = v_ReSBind - v_ReHyd \frac{d}{d time} (q_S_E_ADP) = v_ReHyd - v_ReRel

mu_S_i = R T \ln (K_S_i q_S_i) mu_S_o = R T \ln (K_S_o q_S_o) mu_E_ADP = R T \ln (K_E_ADP q_E_ADP) mu_E_ATP = R T \ln (K_E_ATP q_E_ATP) mu_ATP = R T \ln (K_ATP q_ATP) mu_ADP = R T \ln (K_ADP q_ADP) mu_Pi = R T \ln (K_Pi q_Pi) mu_S_E_ATP = R T \ln (K_S_E_ATP q_S_E_ATP) mu_S_E_ADP = R T \ln (K_S_E_ADP q_S_E_ADP) v_ReABind = kappa_ReABind (ⅇ^{\frac{mu_E_ADP + mu_ATP}{R T}} - (ⅇ^{\frac{mu_E_ATP + mu_ADP}{R T}})) v_ReSBind = kappa_ReSBind (ⅇ^{\frac{mu_S_o + mu_E_ATP}{R T}} - (ⅇ^{\frac{mu_S_E_ATP}{R T}})) v_ReHyd = kappa_ReHyd (ⅇ^{\frac{mu_S_E_ATP}{R T}} - (ⅇ^{\frac{mu_S_E_ADP + mu_Pi}{R T}})) v_ReRel = kappa_ReRel (ⅇ^{\frac{mu_S_E_ADP}{R T}} - (ⅇ^{\frac{mu_S_i + mu_E_ADP}{R T}}))