Model Mathematics

v_GK = \frac{V_GK {(\frac{Glc}{S0_5_GK})}^{h_GK}}{1.0 + {(\frac{Glc}{S0_5_GK})}^{h_GK}}

v_GPI = Keq_GPI G6P F6P

v_PFK = \frac{V_PFK {(\frac{Glc}{S0_5_PFK})}^{h_PFK}}{1.0 + {(\frac{Glc}{S0_5_PFK})}^{h_PFK}} alpha = 5.0 h_PFK_sigma = \frac{F6P}{S0_5_PFK} pi = \frac{FBP}{S0_5_FBA S0_5_PFK} q = \frac{S0_5_FBA}{X0_5} h_PFK_= h_PFK - ((h_PFK - h_act) \frac{q pi}{1.0 + q pi}) S0_5_PFK = \frac{{(0.25 + \frac{2.0 V_PFK}{k_cat_K_PFK})}^{0.5} + 0.5}{{KT}^{-1.0} + {KO}^{-1.0} ({(0.25 + \frac{2.0 V_PFK}{k_cat_K_PFK})}^{0.5} - 0.5)} k_cat_K_PFK = \frac{V_PFK}{3.0}

v_FBA = \frac{V_FBA pi (1.0 - (\frac{p r {rho}^{2.0}}{pi Keq_FBA}))}{1.0 + pi + r rho + p r {rho}^{2.0}} p = \frac{S0_5_GAPD}{P0_5_FBA} r = \frac{S0_5_GAPD}{Q0_5_FBA Keq_TPI}

v_TPI = Keq_TPI DHAP G3P

v_GAPD = \frac{V_GAPD rho}{1.0 + rho}

\frac{d}{d time} (Glc) = v_GK

\frac{d}{d time} (G6P) = v_GK + v_GPI

\frac{d}{d time} (F6P) = v_PFK + v_GPI

\frac{d}{d time} (FBP) = v_PFK + v_FBA

\frac{d}{d time} (DHAP) = v_TPI + v_FBA

\frac{d}{d time} (G3P) = v_TPI + v_GAPD + v_FBA