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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_in - J_out) + J_mout - J_min) 1

Component: Ca_ER

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

Component: PLC

\frac{d}{d time} (PLC) = (J_PLCact - J_PLCinact) 1

Component: G_alpha

\frac{d}{d time} (G_alpha) = (J_actG_alpha - J_inactG_alpha) 1

Component: J_ERch

J_ERch = k_10 Ca_cyt PLC \frac{Ca_ER}{K_11 + Ca_ER}

Component: J_ERpump

J_ERpump = k_16 \frac{Ca_cyt}{K_17 + Ca_ER}

Component: J_in

J_in = K_12 PLC + k_13 G_alpha

Component: J_out

J_out = k_14 \frac{Ca_cyt}{K_15 + Ca_cyt}

Component: J_PLCact

J_PLCact = k_7 G_alpha

Component: J_PLCinact

J_PLCinact = k_8 \frac{PLC}{K_9 + PLC}

Component: J_actG_alpha

J_actG_alpha = k_1 + k_2 G_alpha

Component: J_inactG_alpha

J_inactG_alpha = k_3 PLC \frac{G_alpha}{K_4 + G_alpha} + k_5 Ca_cyt \frac{G_alpha}{K_6 + G_alpha}

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

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