You are here: Home / Exposures / Albrecht, Colegrove, Hongpaisan, Pivovarova, Andrews, Friel, 2001 / Multiple Modes of Calcium-induced Calcium Release in Sympathetic Neurons I: Attenuation of Endoplasmic Reticulum Ca2+ Accumulation at Low [Ca2+]i during Weak Depolarisation

Model Mathematics

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Component: environment

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_leak (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}{1.0 + {(\frac{EC50_SERCA}{Ca_i})}^{n_SERCA}}

Component: ER_Ca_release

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

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) = \frac{J_ER}{gamma_ER} gamma_ER = \frac{v_ER k_ER}{v_i k_i}

Source: Derived from workspace Albrecht, Colegrove, Hongpaisan, Pivovarova, Andrews, Friel, 2001 at changeset 4029a9f38f88.

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Multiple Modes of Calcium-induced Calcium Release in Sympathetic Neurons I: Attenuation of Endoplasmic Reticulum Ca2+ Accumulation at Low [Ca2+]i during Weak Depolarisation