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Model Mathematics

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Component: environment

Component: rate_constants

k2 = V2_(1 - UbE) + V2 UbE k6 = V6_(1 - UbE2) + V6 UbE2 kwee = Vw_(1 - Wee1) + Vw Wee1 k25 = V25_(1 - Cdc25) + V25 Cdc25

Component: concentration_variables

MPF = G2K + beta PG2 SPF = MPF + alpha G1K

Component: G2K

\frac{d}{d time} (G2K) = k1 + k25 PG2 + (k7r + k4) G2R - ((k2 + kwee + k7 R) G2K)

Component: R

\frac{d}{d time} (R) = k3 + (k7r + k2 + k2_) (G2R + PG2R) + (k8r + k6_) G1R - (k4 R + k7 R (G2K + PG2) + k8 R G1K + \frac{kp R SPF mass}{Kmp + R})

Component: G1K

\frac{d}{d time} (G1K) = k5 + (k8r + k4) G1R - ((k6 + k8 R) G1K)

Component: G2R

\frac{d}{d time} (G2R) = k7 R G2K - ((k7r + k4 + k2 + k2_) G2R)

Component: IE

\frac{d}{d time} (IE) = \frac{ki MPF (1 - IE)}{Kmi + 1 - IE} - (\frac{kir IE}{Kmir + IE})

Component: UbE2

\frac{d}{d time} (UbE2) = \frac{ku2 MPF (1 - UbE2)}{Kmu2 + 1 - UbE2} - (\frac{kur2 UbE2}{Kmur2 + UbE2})

Component: Wee1

\frac{d}{d time} (Wee1) = \frac{kwr (1 - Wee1)}{Kmwr + 1 - Wee1} - (\frac{kw MPF Wee1}{Kmw + Wee1})

Component: PG2

\frac{d}{d time} (PG2) = kwee G2K + (k7r + k4) PG2R - ((k25 + k2 + k7 R) PG2)

Component: G1R

\frac{d}{d time} (G1R) = k8 R G1K - ((k8r + k4 + k6_) G1R)

Component: PG2R

\frac{d}{d time} (PG2R) = k7 R PG2 - ((k7r + k4 + k2 + k2_) PG2R)

Component: UbE

\frac{d}{d time} (UbE) = \frac{ku IE (1 - UbE)}{Kmu + 1 - UbE} - (\frac{kur UbE}{Kmur + UbE})

Component: mass

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

Component: Cdc25

\frac{d}{d time} (Cdc25) = \frac{kc MPF (1 - Cdc25)}{Kmc + 1 - Cdc25} - (\frac{kcr Cdc25}{Kmcr + Cdc25})

Component: Cig2_total

Cig2_total = G1K + G1R

Component: Rum1_total

Rum1_total = R + G1R + G2R + PG2R

Component: Cdc13_total

Cdc13_total = G2K + G2R + PG2 + PG2R

Source: Derived from workspace Novak, Tyson, 1997 at changeset 3614b6d39b91.

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