Model Mathematics

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

V_GK = \frac{V_GK_min dw_per_ml}{min_to_sec}

v_PFK = \frac{V_PFK {(\frac{F6P}{Spfk})}^{h_PFK - ((h_PFK - h_act) \frac{\frac{FBP}{Sfba}}{1.0 + \frac{FBP}{Sfba}})}}{{(\frac{F6P}{Spfk})}^{h_PFK - ((h_PFK - h_act) \frac{\frac{FBP}{Sfba}}{1.0 + \frac{FBP}{Sfba}})} + \frac{1.0 + {(\frac{FBP}{Xpfk})}^{hx}}{1.0 + {alpha}^{h_PFK - ((h_PFK - h_act) \frac{\frac{FBP}{Sfba}}{1.0 + \frac{FBP}{Sfba}})} {(\frac{FBP}{Xpfk})}^{hx}}}

V_PFK = \frac{V_PFK_min dw_per_ml}{min_to_sec}

v_FBA = \frac{V_FBA (\frac{FBP}{Sfba} - (\frac{G3P DHAP}{Pfba Qfba Keq_FBA}))}{1.0 + \frac{FBP}{Sfba} + \frac{DHAP}{Qfba} + \frac{G3P DHAP}{Pfba Qfba}} V_FBA = \frac{V_FBA_min dw_per_ml}{min_to_sec}

v_GAPDH = \frac{V_GAPDH G3P}{Sgapdh + G3P} V_GAPDH = \frac{V_GAPDH_min dw_per_ml}{min_to_sec}

Glc = 10.0

\frac{d}{d time} (G6P_F6P) = v_GK - v_PFK

F6P = \frac{G6P_F6P Keq_GPI}{1.0 + Keq_GPI}

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

\frac{d}{d time} (DHAP_G3P) = 2 v_FBA - v_GAPDH

DHAP = DHAP_G3P - G3P

G3P = \frac{DHAP_G3P Keq_TPI}{1.0 + Keq_TPI}