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Model Mathematics

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Component: environment

Component: differentials

\frac{d}{d time} (A) = - (A1 + A2 + A3 + A4 + A5 + A6) \frac{d}{d time} (G) = D1 - (A1 + T1 + R1) \frac{d}{d time} (GA) = (A1 - T2) + D2 - R4 \frac{d}{d time} (T) = - (T1 + T3 + T2 + T4) \frac{d}{d time} (R) = - (R1 + R2 + R3 + R4 + R5 + R6) \frac{d}{d time} (GT) = T1 - P1 - R2 - A2 \frac{d}{d time} (GD) = P1 - D1 - A3 - R3 \frac{d}{d time} (Pi_) = P1 + P3 + P2 + P4 \frac{d}{d time} (D) = D1 + D3 + D2 + D4 \frac{d}{d time} (RG) = (R1 - T3) + D3 - A4 \frac{d}{d time} (RGT) = T3 + R2 - P3 - A5 \frac{d}{d time} (GAT) = A2 + T2 - P2 - R5 \frac{d}{d time} (GAD) = A3 + P2 - D2 - R6 \frac{d}{d time} (RGD) = R3 + P3 - D3 - A6 \frac{d}{d time} (RGA) = (A4 + R4 - T4) + D4 \frac{d}{d time} (RGAT) = T4 + R5 + A5 - P4 \frac{d}{d time} (RGAD) = P4 + A6 + R6 - D4

Component: output

Z = \frac{GT + RGT + RGAT + GAT}{G_tot} v = \frac{P_minus4 RGAT + P_minus2 GAT + P_minus3 RGT + P_minus1 GT}{G_tot}

Component: A1

A1 = k1 G A - (k2 GA)

Component: T1

T1 = k1 G T - (k2 GT)

Component: R1

R1 = k1 G R - (k2 RG)

Component: P1

P1 = k1 GT - (k2 GD Pi_)

Component: D1

D1 = k1 GD - (k2 G D)

Component: T3

T3 = k1 RG T - (k2 RGT)

Component: R2

R2 = k1 GT R - (k2 RGT)

Component: A2

A2 = k1 GT A - (k2 GAT)

Component: A3

A3 = k1 GD A - (k2 GAD)

Component: R3

R3 = k1 GD R - (k2 RGD)

Component: P3

P3 = k1 RGT - (k2 RGD Pi_)

Component: D3

D3 = k1 RGD - (k2 RG D)

Component: T2

T2 = k1 GA T - (k2 GAT)

Component: P2

P2 = k1 GAT - (k2 GAD Pi_)

Component: D2

D2 = k1 GAD - (k2 GA D)

Component: A4

A4 = k1 RG A - (k2 RGA)

Component: R4

R4 = k1 GA R - (k2 RGA)

Component: T4

T4 = k1 RGA T - (k2 RGAT)

Component: R5

R5 = k1 GAT R - (k2 RGAT)

Component: A5

A5 = k1 RGT A - (k2 RGAT)

Component: P4

P4 = k1 RGAT - (k2 RGAD Pi_)

Component: A6

A6 = k1 RGD A - (k2 RGAD)

Component: R6

R6 = k1 GAD R - (k2 RGAD)

Component: D4

D4 = k1 RGAD - (k2 RGA D)

Source: Derived from workspace Bornheimer et al. 2004 at changeset 0958dc339ee1.

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Computational modeling reveals how interplay between components of a GTPase-cycle module regulates signal transduction