You are here: Home / Exposures / Marhl, Schuster, Brumen, Heinrich, 1997 / Modelling the interrelations between calcium oscillations and ER membrane potential oscillations

Model Mathematics

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Component: environment

Component: free_protein_calcium_binding_sites

\frac{d}{d time} (\Pr) = k_minus CaPr - (k_plus Ca_cyt \Pr) CaPr = Pr_tot - \Pr

Component: cytosolic_calcium

\frac{d}{d time} (Ca_cyt) = J_ch + J_leak + k_minus CaPr - (J_pump + k_plus Ca_cyt \Pr)

Component: ER_calcium

Ca_ER = \frac{Ca_tot - (Ca_cyt + (Pr_tot - \Pr))}{rho}

Component: potential_difference

delta_psi = \frac{R T}{F} \ln (\frac{- b - ({(b^{2.0} - (4.0 a c))}^{0.5})}{2.0 a}) a = rho (2.0 Ca_cyt - (2.0 \Pr + A_tot)) b = (C_tot - A_tot) + 2.0 (Ca_cyt - \Pr) (1.0 + {rho}^{2.0}) c = rho ((2.0 Ca_cyt - (2.0 \Pr)) + C_tot)

Component: calcium_reversal_potential

E_Ca = \frac{R T}{2.0 F} \ln (\frac{Ca_ER}{Ca_cyt})

Component: flux_through_the_channels

J_ch = k_ch (E_Ca - delta_psi) k_ch = \frac{g_Ca}{2.0 F Vcyt} g_Ca = \frac{g_Ca_max S {(\frac{Ca_cyt}{K_Ca})}^{2.0}}{1.0 + {(\frac{Ca_cyt}{K_Ca})}^{2.0}}

Component: calcium_pump

J_pump = k_pump Ca_cyt

Component: leak_flux

J_leak = k_leak (E_Ca - delta_psi)

Component: model_parameters

Source: Derived from workspace Marhl, Schuster, Brumen, Heinrich, 1997 at changeset 1aca7bf80f50.

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Modelling the interrelations between calcium oscillations and ER membrane potential oscillations