You are here: Home / Exposures / Sneyd, Wetton, Charles, Sanderson, 1995 / Intercellular calcium waves mediated by diffusion of inositol trisphosphate: a two-dimensional model

Model Mathematics

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Component: enviroment

Component: P

\frac{d}{d time} (P) = \{\begin{matrix} IPR_3_flux - (\frac{V_p P k_p}{k_p + P}) if time ≦ 15 \\ \frac{(- V_p) P k_p}{k_p + P} otherwise \end{matrix}

Component: c

\frac{d}{d time} (c) = (J_flux - J_pump) + J_leak

Component: J_flux

J_flux = k_flux mu h (b + \frac{(1 - b) c}{k_1 + c})

Component: J_pump

J_pump = \frac{gamma c^{2}}{{k_gamma}^{2} + c^{2}}

Component: J_leak

J_leak = beta

Component: mu

mu = \frac{P^{3}}{{k_mu}^{3} + P^{3}}

Component: h

\frac{d}{d time} (h) = \frac{\frac{{k_2}^{2}}{{k_2}^{2} + c^{2}} - h}{tau_h}

Source: Derived from workspace Snyed, Wetton, Charles, Sanderson, 1995 at changeset 3913942bd086.

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Intercellular calcium waves mediated by diffusion of inositol trisphosphate: a two-dimensional model