You are here: Home / Exposures / Marhl, Haberichter, Brumen, Heinrich, 2000 / Complex calcium oscillations and the role of mitochondria and cytosolic proteins

Model Mathematics

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Component: environment

Component: total_calcium

Ca_Pr = Ca_tot - (Ca_cyt + \frac{rho_ER}{beta_ER} Ca_ER + \frac{rho_m}{beta_m} Ca_m)

Component: total_protein

\Pr = Pr_tot - Ca_Pr

Component: cytosolic_calcium

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

Component: ER_calcium

\frac{d}{d time} (Ca_ER) = \frac{beta_ER}{rho_ER} (J_pump - (J_ch + J_leak))

Component: mitochondrial_calcium

\frac{d}{d time} (Ca_m) = \frac{beta_m}{rho_m} (J_in - J_out)

Component: ATP_dependent_Ca_uptake_into_the_ER

J_pump = k_pump Ca_cyt

Component: Ca_efflux_from_the_ER

J_ch = k_ch \frac{{Ca_cyt}^{2.0}}{{K1}^{2.0} + {Ca_cyt}^{2.0}} (Ca_ER - Ca_cyt)

Component: Ca_leak_flux_from_the_ER

J_leak = k_leak (Ca_ER - Ca_cyt)

Component: mitochondrial_Ca_uptake

J_in = k_in \frac{{Ca_cyt}^{8.0}}{{K2}^{8.0} + {Ca_cyt}^{8.0}}

Component: mitochondrial_Ca_release

J_out = (k_out \frac{{Ca_cyt}^{2.0}}{{K3}^{2.0} + {Ca_cyt}^{2.0}} + k_m) Ca_m

Source: Derived from workspace Marhl, Haberichter, Brumen, Heinrich, 2000 at changeset d6ab3e5316c3.

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Complex calcium oscillations and the role of mitochondria and cytosolic proteins