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Model Mathematics

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Component: environment

Component: M

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

Component: Mp

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

Component: AMp

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

Component: AM

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

Component: model_parameters

k1 = \{\begin{matrix} 0.35 if time > 0.0 \land time < 5.0 \\ 0.060 otherwise \end{matrix} k6 = k1 gp2 = 4.0 (fp1 + gp1) g2 = 20.0 g1 g3 = 3.0 g1 gp3 = 3.0 gp1

Source: Derived from workspace Mijailovich, Butler, Fredburg, 2000 at changeset a21778cfd503.

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Perturbed Equilibria of Myosin Binding in Airway Smooth Muscle: Bond-Length Distributions, Mechanics and ATP Metabolism