Model Mathematics

k25 = V25_(Cdc25_T - Cdc25_P) + V25__Cdc25_P kwee = Vwee_Wee1_P + Vwee__(Wee1_T - Wee1_P) k2 = V2_(UbE_T - UbE) + V2__UbE

\frac{d}{d time} (cyclin) = k1AA - (k2 cyclin) - (k3 cyclin Cdc2)

\frac{d}{d time} (cyclin_Cdc2) = (kinh MPF_active - ((kwee + kcak + k2) cyclin_Cdc2)) + k25 Tyr15P_dimer + k3 cyclin Cdc2

\frac{d}{d time} (Tyr15P_dimer) = (kwee cyclin_Cdc2 - ((k25 + kcak + k2) Tyr15P_dimer)) + kinh MPF_pre

\frac{d}{d time} (MPF_pre) = (kwee MPF_active - ((kinh + k25 + k2) MPF_pre)) + kcak Tyr15P_dimer

\frac{d}{d time} (MPF_active) = (kcak cyclin_Cdc2 - ((kinh + kwee + k2) MPF_active)) + k25 MPF_pre

Cdc2 = Cdc2_T - (cyclin_Cdc2 + MPF_active + MPF_pre + Tyr15P_dimer)

cyclin_T = cyclin + cyclin_Cdc2 + MPF_active + MPF_pre + Tyr15P_dimer

\frac{d}{d time} (Cdc25_P) = \frac{ka MPF_active (Cdc25_T - Cdc25_P)}{K_a + Cdc25_T - Cdc25_P} - (\frac{kbPPase Cdc25_P}{K_b + Cdc25_P})

\frac{d}{d time} (Wee1_P) = \frac{ke MPF_active (Wee1_T - Wee1_P)}{K_e + Wee1_T - Wee1_P} - (\frac{kfPPase Wee1_P}{K_f + Wee1_P})

\frac{d}{d time} (IE_P) = \frac{kg MPF_active (IE_T - IE_P)}{K_g + IE_T - IE_P} - (\frac{khPPase IE_P}{K_h + IE_P})

\frac{d}{d time} (UbE) = \frac{kc IE_P (UbE_T - UbE)}{K_c + UbE_T - UbE} - (\frac{kd_antiIE UbE}{K_d + UbE})