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Model Mathematics

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Component: environment

Component: IP3

\frac{\partial}{\partial time} (P) = D_P (Pxx + Pyy)

Component: calcium

\frac{\partial}{\partial time} (c) = D_c (cxx + cyy) + J_channel + J_leak + (- J_pump)

Component: IP3_receptor

J_channel = k_flux mu_P h (b + \frac{(1.0 - b) c}{k1 + c}) mu_P = mu_0 + \frac{mu_1 P}{k_mu + P}

Component: IP3_receptor_h_gate

\frac{d}{d time} (h) = \frac{h_infinity - h}{tau_h} h_infinity = \frac{{k2}^{2.0}}{{k2}^{2.0} + c^{2.0}}

Component: calcium_pump

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

Component: calcium_leak

J_leak = beta

Source: Derived from workspace Mckenzie, Sneyd, 1998 at changeset 68cf461c24ab.

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On the Formation and Breakup of Spiral Waves of Calcium