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Model Mathematics

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Component: environment

Component: MPF

\frac{d}{d time} (MPF) = ((k1 mass - (k2 MPF) - (kwee MPF)) + kc25 preMPF - (kj MPF (Rum1 + Rum1P))) + kjr (CR + CRP) + k6_CR + (k6_+ k6) CRP

Component: preMPF

\frac{d}{d time} (preMPF) = kwee MPF - (kc25 preMPF) - (k2 preMPF)

Component: Ste9

\frac{d}{d time} (Ste9) = \frac{(kste9r_+ kste9r PP) (1 - Ste9)}{Jste9r + 1 - Ste9} - (\frac{kste9 (MPF_a + SK mass) Ste9}{Jste9 + Ste9})

Component: Mik1

\frac{d}{d time} (Mik1) = \frac{(ks + kmr_+ kmr PP) (1 - Mik1)}{Jmikr + 1 - Mik1} - (\frac{km MPF_a Mik1}{Jmik + Mik1})

Component: Wee1

\frac{d}{d time} (Wee1) = \frac{(kwr_+ kwr PP) (1 - Wee1)}{Jweer + 1 - Wee1} - (\frac{kw MPF_a Wee1}{Jwee + Wee1})

Component: Cdc25

\frac{d}{d time} (Cdc25) = \frac{k25 MPF_a (1 - Cdc25)}{J25 + 1 - Cdc25} - (\frac{(k5 + k25r_+ k25r PP) Cdc25}{J25r + Cdc25})

Component: Slp1

\frac{d}{d time} (Slp1) = kas MPF_a - (kad Slp1)

Component: Slp1_a

\frac{d}{d time} (Slp1_a) = (kaa_+ kaa MPF_a) (Slp1 - Slp1_a) - ((kai + kad) Slp1_a)

Component: Inh

\frac{d}{d time} (Inh) = (k3 - (ki Inh PP)) + kir PI - (k4 Inh)

Component: PI

\frac{d}{d time} (PI) = ki Inh PP - (kir PI) - (k4 PI)

Component: CRP

\frac{d}{d time} (CRP) = (kp (MPF_a + epsilon_p SK mass) CR - ((kpp_+ kpp PP) CRP)) + kj MPF Rum1P - (kjr CRP) - (k2c CRP) - ((k6_+ k6) CRP)

Component: CR

\frac{d}{d time} (CR) = (kj MPF Rum1 - (kjr CR) - (k2c CR) - (k6_CR) - (kp (MPF_a + epsilon_p SK mass) CR)) + (kpp_+ kpp PP) CRP

Component: Rum1

\frac{d}{d time} (Rum1) = ((k5 - (k6_Rum1) - (kp (MPF_a + epsilon_p SK mass) Rum1)) + (kpp_+ kpp PP) Rum1P - (kj MPF Rum1)) + kjr CR + k2c CR

Component: Rum1P

\frac{d}{d time} (Rum1P) = (kp (MPF_a + epsilon_p SK mass) Rum1 - ((kpp_+ kpp PP) Rum1P) - ((k6_+ k6) Rum1P) - (kj MPF Rum1P)) + kjr CRP + k2c CRP

Component: mass

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

Component: R_dna

\frac{d}{d time} (R_dna) = \frac{K 1}{1 + Y MPF_a}

Component: MPF_a

MPF_a = MPF + epsilon preMPF

Component: PP

PP = 1 - PI

Component: ratio

ratio = \frac{MPF_a}{PP}

Component: rate_constants

k2 = V2_+ V2 Ste9 k2c = V2c_+ V2c Ste9 kwee = Vwee Wee1 + Vwee_(1 - Wee1) + Vmik Mik1 + Vmik_(1 - Mik1) kc25 = V25 Cdc25 + V25_(1 - Cdc25) + Vpyp Pyp3 k4 = V4_+ V4 Slp1_a

Component: dimensionless_constants

Source: Derived from workspace Sveiczer, Csikasznagy, Gyorffy, Tyson, Novak, 2000 at changeset a97ee8692690.

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Modeling the fission yeast cell cycle: quantized cycle times in wee1- cdc25Delta mutant cells.