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Model Mathematics

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Component: environment

Component: rate_constants

kappa_L1 = \{\begin{matrix} 0.000005 if time \geq 0 \land time < 40 \\ 0.00002 otherwise \end{matrix} kappa_L2 = kappa_L2_0 + \frac{kappa_L2_1}{1 + {(\frac{Kd_Ca}{Ca_i})}^{n}} Kd_Ca = \{\begin{matrix} 1000 if time \geq 0 \land time < 80 \\ 500 otherwise \end{matrix}

Component: cytosolic_calcium

\frac{d}{d time} (Ca_i) = (- (kappa_L1 + kappa_P1 + gamma (kappa_L2 + kappa_P2))) Ca_i + gamma kappa_L2 Ca_s + kappa_L1 Ca_o Ca_i_ss = \frac{Ca_o}{1.0 + \frac{kappa_P1}{kappa_L1}}

Component: subspace_calcium

\frac{d}{d time} (Ca_s) = (kappa_L2 + kappa_P2) Ca_i - (kappa_L2 Ca_s) Ca_s_ss = Ca_i_ss (1.0 + \frac{kappa_P2}{kappa_L2})

Source: Derived from workspace Friel, 1995 at changeset 5d02b7540693.

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[Ca2+]i oscillations in sympathetic neurons: an experimental test of a theoretical model