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Model Mathematics

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Component: environment

Component: M

\frac{d}{d time} (M) = vs \frac{{KI}^{n}}{{KI}^{n} + {PN}^{n}} - (vm \frac{M}{Km + M})

Component: P0

\frac{d}{d time} (P0) = (ks M - (V1 \frac{P0}{K1 + P0})) + V2 \frac{P1}{K2 + P1}

Component: P1

\frac{d}{d time} (P1) = (V1 \frac{P0}{K1 + P0} - (V2 \frac{P1}{K2 + P1} + V3 \frac{P1}{K3 + P1})) + V4 \frac{P2}{K4 + P2}

Component: P2

\frac{d}{d time} (P2) = (V3 \frac{P1}{K3 + P1} - (V4 \frac{P2}{K4 + P2} + k1 P2)) + k2 PN - (vd \frac{P2}{Kd + P2})

Component: PN

\frac{d}{d time} (PN) = k1 P2 - (k2 PN)

Component: Pt

Pt = P0 + P1 + P2 + PN

Component: parameters

Source: Derived from workspace Goldbeter, 1995 at changeset 81161a603756.

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A model for circadian oscillations in the Drosophila period protein (PER)