You are here: Home / Exposures / Tyson, Hong, Thron, Novak, 1999 / A Simple Model of Circadian Rhythms Based on Dimerization and Proteolysis of PER and TIM

Model Mathematics

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Component: environment

Component: M

\frac{d}{d time} (M) = \frac{vm}{1.0 + {(\frac{Pt (1.0 - q)}{2.0 Pcrit})}^{2.0}} - (km M) q = \frac{2.0}{1.0 + \sqrt{1.0 + 8.0 Keq Pt}}

Component: Pt

\frac{d}{d time} (Pt) = vp M - (\frac{kp1 Pt q + kp2 Pt}{Jp + Pt} + kp3 Pt)

Source: Derived from workspace Tyson, Hong, Thron, Novak, 1999 at changeset 58622087b224.

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A Simple Model of Circadian Rhythms Based on Dimerization and Proteolysis of PER and TIM