You are here: Home / Exposures / Hatzimanikatis, Lee, Bailey, 1999 / A mathematical description of regulation of the G1-S transition of the mammalian cell cycle

Model Mathematics

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Component: environment

Component: C

\frac{d}{d time} (C) = Vs + gamma V2 - (gamma V1 + Vd)

Component: K

\frac{d}{d time} (K) = V2 - V1

Component: RP

\frac{d}{d time} (RP) = V3 - V4

Component: E

E = 1.0 - (sigma RE)

Component: KP

KP = 1.0 - (KPI + K)

Component: KPI

KPI = thetaI KP I

Component: I

I = 1.0 - (lambda KPI)

Component: RE

RE = thetaE R E

Component: R

R = 1.0 - (RP + RE)

Component: Vs

Vs = VCs + Vsm \frac{E}{KsE + E}

Component: V1

V1 = V1m \frac{C}{K1C + C} \frac{K}{K1 + K}

Component: V2

V2 = V2m \frac{KP}{K2 + KP}

Component: V3

V3 = V3m KP \frac{RE}{K3 + RE}

Component: V4

V4 = V4m \frac{RP}{K4 + RP}

Component: Vd

Vd = C + VdEm E \frac{C}{KdC + C}

Source: Derived from workspace Hatzimanikatis, Lee, Bailey, 1999 at changeset 449def024af6.

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A mathematical description of regulation of the G1-S transition of the mammalian cell cycle