Model Mathematics

\frac{d}{d time} (Cdc13_Cdc2) = k1 mass + kcdc25 Cdc13_P_Cdc2 + Rum1_Cdc13_Cdc2 (kir + k4) - (kwee Cdc13_Cdc2 + ki Cdc13_Cdc2 Rum1 + k2 Cdc13_Cdc2)

\frac{d}{d time} (Cdc13_P_Cdc2) = kwee Cdc13_Cdc2 - (kcdc25 Cdc13_P_Cdc2 + k2 Cdc13_P_Cdc2)

\frac{d}{d time} (Rum1_Cdc13_Cdc2) = ki Rum1 Cdc13_Cdc2 - (Rum1_Cdc13_Cdc2 (k4 + k2c + kir))

\frac{d}{d time} (Rum1) = k3 + Rum1_Cdc13_Cdc2 (kir + k2c) - (k4 Rum1 + ki Cdc13_Cdc2 Rum1)

\frac{d}{d time} (Cdc25P) = \frac{k25 MPF (1 - Cdc25P)}{J25 + 1 - Cdc25P} - (\frac{k25r Cdc25P}{J25r + Cdc25P}) k25r = k25r_+ ks

\frac{d}{d time} (Wee1) = \frac{kwr (1 - Wee1)}{Jwr + 1 - Wee1} - (\frac{kw MPF Wee1}{Jw + Wee1}) kwr = kwr_+ ks

\frac{d}{d time} (Mik1) = \frac{kmr (1 - Mik1)}{Jmr + 1 - Mik1} - (\frac{km Mik1}{Jm + Mik1}) kmr = kmr_+ ks

\frac{d}{d time} (AAE_total) = kas MPF - (kad AAE_total)

\frac{d}{d time} (AAE) = \frac{(kaa + kaa_MPF) (AAE_total - AAE)}{Jaa + AAE_total - AAE} - (\frac{kai AAE}{Jai + AAE} + kad AAE) kai = kai_+ kx

\frac{d}{d time} (APC) = \frac{(kapr + kapr_AAE) (1 - APC)}{Japr + 1 - APC} - (\frac{kap (Puc1 mass + MPF) APC}{Jap + APC})

\frac{d}{d time} (mass) = mu mass

k2 = V2 (1 - APC) + V2_APC

k2c = V2c (1 - APC) + V2c_APC

k4 = k4_+ k4__(Puc1 mass + MPF)

kcdc25 = V25 (1 - Cdc25P) + V25_Cdc25P

kwee = Vwee ((1 - Wee1) 1 + Vwee_Wee1 + Vmik (1 - Mik1)) 1 + Vmik_Mik1

MPF = Cdc13_Cdc2 + alpha Cdc13_P_Cdc2

ks = \{\begin{matrix} 0.5 if APC ≦ 0.2 \\ 0 otherwise \end{matrix}