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Model Mathematics

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Component: environment

Component: M

\frac{d}{d time} (M) = (- (k1 M)) + k2 Mp + k7 AM

Component: Mp

\frac{d}{d time} (Mp) = k4 AMp + k1 M - ((k2 + k3) Mp)

Component: AMp

\frac{d}{d time} (AMp) = k3 Mp + k6 AM - ((k5 + k4) AMp)

Component: AM

\frac{d}{d time} (AM) = k5 AMp - ((k6 + k7) AM)

Component: phosphorylation

phosphorylation = AMp + Mp

Component: stress

stress = AMp + AM

Component: model_parameters

k1 = \{\begin{matrix} 0.55 if time \geq 0.0 \land time < 5.0 \\ 0.3 otherwise \end{matrix} k6 = k1

Source: Derived from workspace Hai and Murphy 1988 at changeset df0a4755df6f.

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Cross-bridge phosphorylation and regulation of latch state in smooth muscle