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Model Mathematics

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Component: environment

Component: Ca_m

\frac{d}{d time} (Ca_m) = J_min - J_mout

Component: J_min

J_min = \frac{k_min {Ca_cyt}^{n}}{{K_m}^{n} + {Ca_cyt}^{n}}

Component: J_mout

J_mout = \frac{k_mout Ca_m}{1}

Component: Ca_cyt

\frac{d}{d time} (Ca_cyt) = (((J_ERch - J_ERpump) + J_ERleak + J_CaPr - J_Pr) + \frac{rho_m}{beta_m} (J_mout - J_min)) 1

Component: Ca_tot

\frac{d}{d time} (Ca_tot) = Ca_cyt + \frac{rho_ER}{beta_ER} Ca_ER + \frac{rho_m}{beta_m} Ca_m + CaPr

Component: Ca_ER

\frac{d}{d time} (Ca_ER) = \frac{beta_ER}{rho_ER} (J_ERpump - J_ERleak - J_ERch) 1

Component: J_ERch

J_ERch = \frac{k_ERch {Ca_cyt}^{2}}{{K_ch}^{2} + {Ca_cyt}^{2}} (Ca_ER - Ca_cyt)

Component: J_ERpump

J_ERpump = k_ERpump Ca_cyt

Component: J_ERleak

J_ERleak = k_ERleak (Ca_ER - Ca_cyt)

Component: J_CaPr

J_CaPr = k_min CaPr

Component: J_Pr

J_Pr = k_plus Ca_cyt \Pr

Component: CaPr

CaPr = Ca_tot - (Ca_cyt + \frac{rho_ER}{beta_ER} Ca_ER)

Component: Pr

\Pr = Pr_tot - CaPr

Source: Derived from workspace Mitochondria regulate the amplitude of simple and complex calcium oscillations at changeset f78690e2f464.

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