You are here: Home / Exposures / Fink, Slepchenko, Loew, 1999 / Determination of time-dependent inositol-1,4,5-triphosphate concentrations during calcium release in a smooth muscle cell

Model Mathematics

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Component: environment

Component: Calcium_dynamics

\frac{d}{d time} (Ca) = beta ((J_channel - J_pump) + J_leak)

Component: ER

Component: Channel_kinetics

J_channel = J_max {(\frac{I}{I + K_I} \frac{Ca}{Ca + K_act} h)}^{3.0} (1.0 - (\frac{Ca}{Ca_ER})) \frac{d}{d time} (h) = k_on (K_inh - (h (Ca + K_inh)))

Component: SERCA_pump_kinetics

J_pump = V_max \frac{{Ca}^{2.0}}{{Ca}^{2.0} + {K_p}^{2.0}}

Component: Calcium_buffering

beta = {(1.0 + \frac{B_end}{K_end} + \frac{B_ex K_ex}{{(Ca_ex + K_ex)}^{2.0}})}^{-1.0}

Component: Leak

J_leak = L (1.0 - (\frac{Ca}{Ca_ER}))

Source: Derived from workspace Fink, Slepchenko, Loew, 1999 at changeset 6fb936940762.

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Determination of time-dependent inositol-1,4,5-triphosphate concentrations during calcium release in a smooth muscle cell