You are here: Home / Exposures / Colegrove, Albrecht, Friel, 2000 / Quantitive Analysis of Mitochondrial Ca2+ Uptake and Release Pathways in Sympathetic Neurons Reconstruction of the Recovery after Depolarisation-evoked [Ca2+] Elevations

Model Mathematics

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Component: environment

Component: Ca_extrusion_across_the_plasma_membrane

J_pm = J_leak + J_extru J_leak = k_leak (Ca_i - Ca_o) J_extru = \frac{Vmax_extru}{1.0 + {(\frac{EC50_extru}{Ca_i})}^{n_extru}}

Component: mitochondrial_Ca_uptake

J_uni = \frac{kuni_max Ca_i}{1.0 + {(\frac{EC50_uni}{Ca_i})}^{n_uni}}

Component: mitochondrial_Ca_release

J_NaCa = \frac{- Vmax_NaCa}{1.0 + \frac{EC50_NaCa}{Ca_m}} Ca_inhibited_J_NaCa = \frac{- (delta_Ca_i Vmax_NaCa)}{1.0 + \frac{EC50_NaCa}{Ca_i}} delta_Ca_i = 1.0 - (\frac{1.0}{1.0 - ({(\frac{k_inhib}{Ca_i})}^{n_inhib})}) J_mito = J_uni + J_NaCa

Component: intracellular_calcium

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

Component: mitochondrial_calcium

\frac{d}{d time} (Ca_m) = \frac{J_mito}{gamma} gamma = \frac{v_m k_m}{v_i k_i}

Source: Derived from workspace Colegrove, Albrecht, Friel, 2000 at changeset 82f5c883b89d.

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Quantitive Analysis of Mitochondrial Ca2+ Uptake and Release Pathways in Sympathetic Neurons Reconstruction of the Recovery after Depolarisation-evoked [Ca2+] Elevations