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Model Mathematics

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Component: environment

Component: C

\frac{d}{d time} (C) = vi - (\frac{k1 X C}{C + K5}) - (kd C)

Ctot = C + Z

Component: M

M_= - 1

\frac{d}{d time} (M) = \frac{V1 M_}{M_+ K1} - (\frac{V2 M}{M + K2})

Component: X

X_= 1 - X

\frac{d}{d time} (X) = \frac{V3 X_}{X_+ K3} - (\frac{V4 X}{X + K4})

Component: Y

\frac{d}{d time} (Y) = (vs - (d1 Y) - (a1 C Y)) + (a2 + alpha kd) Z

Ytot = Y + Z

Component: Z

\frac{d}{d time} (Z) = a1 C Y - ((a2 + alpha kd + alpha d1) Z)

Component: BP

BP = 1 + \frac{Kd Ytot}{{(C + Kd)}^{2}}

Component: model_parameters

V1 = \frac{C V1_dash}{C + K6}

V3 = M V3_dash

Source: Derived from workspace Gardner, Dolnik, Collins, 1998 at changeset 1c73a9f1a4f8.

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A theory for controlling cell cycle dynamics using a reversibly binding inhibitor