Model Mathematics

\frac{d}{d time} (Cdk2_CycE) = k25A PCdk2_CycE + koff Cdk2_CycErem + kdissoc Xic_Cdk2_CycE - (kwee Wee1_a Cdk2_CycE + kon phi Cdk2_CycE + kassoc Xic Cdk2_CycE)

\frac{d}{d time} (PCdk2_CycE) = kwee Wee1_a Cdk2_CycE + koff PCdk2_CycErem + kdissoc Xic_PCdk2_CycE - (k25A PCdk2_CycE + kon phi PCdk2_CycE + kassoc Xic PCdk2_CycE)

\frac{d}{d time} (Wee1_a) = \frac{kwact (Wee1_total - Wee1_a)}{Jwact + Wee1_total - Wee1_a} - (\frac{kwinact Kin_a Wee1_a}{Jwinact + Wee1_a})

\frac{d}{d time} (Kin_a) = \frac{kiact (1 - Kin_a)}{Jiact + 1 - Kin_a} - (\frac{kiinact Cdk2_CycE Kin_a}{Jiinact + Kin_a})

\frac{d}{d time} (Cdk2_CycErem) = kon phi Cdk2_CycE + kxdeg Xic_Cdk2_CycErem + kdissoc Xic_Cdk2_CycErem - (koff Cdk2_CycErem + kedeg Deg_a Cdk2_CycErem + kassoc Xic Cdk2_CycErem)

\frac{d}{d time} (PCdk2_CycErem) = kon phi PCdk2_CycE + kxdeg Xic_PCdk2_CycErem + kdissoc Xic_PCdk2_CycErem - (koff PCdk2_CycErem + kedeg Deg_a PCdk2_CycErem + kassoc Xic PCdk2_CycErem)

\frac{d}{d time} (Deg_a) = kdact Heav x = Cdk2_CycErem - theta Heav = \{\begin{matrix} 0 if x < 0 \\ 1 otherwise \end{matrix}

\frac{d}{d time} (Xic) = kdissoc (Xic_Cdk2_CycE + Xic_PCdk2_CycE + Xic_Cdk2_CycErem + Xic_PCdk2_CycErem) - (kassoc Xic (Cdk2_CycE + PCdk2_CycE + Cdk2_CycErem + PCdk2_CycErem))

\frac{d}{d time} (Xic_Cdk2_CycE) = kassoc Xic Cdk2_CycE + koff Xic_Cdk2_CycErem + k25A Xic_PCdk2_CycE - (kdissoc Xic_Cdk2_CycE + kon phi Xic_Cdk2_CycE + kwee Wee1_a Xic_Cdk2_CycE)

\frac{d}{d time} (Xic_PCdk2_CycE) = kassoc Xic PCdk2_CycE + koff Xic_PCdk2_CycErem + kwee Wee1_a Xic_Cdk2_CycE - (kdissoc Xic_PCdk2_CycE + kon phi Xic_PCdk2_CycE + k25A Xic_PCdk2_CycE)

\frac{d}{d time} (Xic_Cdk2_CycErem) = kassoc Xic Cdk2_CycErem + kon phi Xic_Cdk2_CycE - (kdissoc Xic_Cdk2_CycErem + koff Xic_Cdk2_CycErem + kedeg Deg_a Xic_Cdk2_CycErem + kxdeg Xic_Cdk2_CycErem)

\frac{d}{d time} (Xic_PCdk2_CycErem) = kassoc Xic PCdk2_CycErem + kon phi Xic_PCdk2_CycE - (kdissoc Xic_PCdk2_CycErem + koff Xic_PCdk2_CycErem + kedeg Deg Xic_PCdk2_CycErem + kxdeg Xic_PCdk2_CycErem)

\frac{d}{d time} (Xicrem) = kedeg Deg_a Xic_Cdk2_CycErem + kedeg Deg_a Xic_PCdk2_CycErem - (kxdeg Xicrem)

Cyc_total = Xic_PCdk2_CycE + Xic_Cdk2_CycE + Xic_PCdk2_CycErem + Xic_Cdk2_CycErem + PCdk2_CycErem + Cdk2_CycErem + Cdk2_CycE + PCdk2_CycE

Xic_total = \frac{Xic + Xic_PCdk2_CycE + Xic_Cdk2_CycE + Xic_PCdk2_CycErem + Xic_Cdk2_CycErem + Xicrem}{3}

phi = \frac{epsilon + {pool}^{n}}{L^{n} + {pool}^{n}} pool = Cdk2_CycErem + PCdk2_CycErem + Xic_Cdk2_CycErem + Xic_PCdk2_CycErem