You are here: Home / Exposures / Borghans, Dupont, Goldbeter, 1997 / Complex intracellular calcium oscillations. A theoretical exploration of possible mechanisms (Model A)

Model Mathematics

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Component: environment

Component: Ca

\frac{d}{d time} (Z) = (V_in - V_2) + V_3 + (K_f Y - (K Z)) \frac{d}{d time} (Y) = V_2 - V_3 - (K_f Y)

Component: Ca_flux

Component: V_in

V_in = v_0 + v_1 beta

Component: V_2

V_2 = V_M2 \frac{Z^{2}}{{K_2}^{2} + Z^{2}}

Component: V_3

V_3 = beta R_plus V_M3 \frac{Y^{2}}{{K_y}^{2} + Y^{2}}

Component: Ca_channels

R_plus = gamma \frac{rho}{1 + gamma} \frac{d}{d time} (rho) = (- (k_d Z^{4} rho 1)) + k_r (1 - rho)

Component: gamma

gamma = \frac{a}{d} Z^{4} 1

Source: Derived from workspace Borghans 1997 at changeset 4b4ee94cb1a3.

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