You are here: Home / Exposures / Albrecht, Colegrove, Friel, 2002 / Differential Regulation of ER Ca2+ Uptake and Release Rates Accounts for Multiple Modes of Ca2+-induced Ca2+ Release

Model Mathematics

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Component: environment

Component: cytoplasmic_calcium

\frac{d}{d time} (Ca_i) = - J_i J_i = J_pm + J_ER

Component: intraluminal_calcium

\frac{d}{d time} (Ca_ER) = J_ER \frac{v_i k_i}{v_ER k_ER} Ca_ER_init = Ca_i + \frac{J_SERCA Ca_i}{P_ER \frac{Ca_i}{v_i}}

Component: total_cytoplasmic_Ca_flux

J_ICa = \frac{I_Ca}{2.0 F v_i k_i}

Component: Ca_extrusion_across_the_plasma_membrane

J_pm = J_extru + J_ICa J_extru = {k_i}^{-1.0} (k_leak_pm (Ca_i - Ca_o) + \frac{Vmax_extru}{1.0 + {(\frac{EC50_extru}{Ca_i})}^{n_extru}})

Component: Ca_uptake_by_SR_Ca_ATPase

J_SERCA = \frac{Vmax_SERCA}{k_i (1.0 + {(\frac{EC50_SERCA}{Ca_i})}^{n_SERCA})}

Component: ER_Ca_release

J_release = \frac{P_ER (Ca_i - Ca_ER)}{v_i k_i} J_ER = J_SERCA + J_release P_ER = v_i (P_basal + \frac{Pmax_RyR}{1.0 + {(\frac{EC50_RyR}{Ca_i})}^{n_RyR}})

Source: Derived from workspace Albrecht, Colegrove, Friel, 2002 at changeset 1668c60f12ca.

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Differential Regulation of ER Ca2+ Uptake and Release Rates Accounts for Multiple Modes of Ca2+-induced Ca2+ Release