You are here: Home / Exposures / Houart, Dupont, Albert, 1999 / Bursting, Chaos and birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations

Model Mathematics

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Component: environment

Component: Vin

V_in = V_0 + V_1 beta

Component: V2

V_2 = \frac{V_M2 Z^{2}}{{K_2}^{2} + Z^{2}}

Component: V3

V_3 = \frac{\frac{\frac{V_M3 Z^{m}}{{K_Z}^{m} + Z^{m}} Y^{2}}{{K_Y}^{2} + Y^{2}} A^{4}}{{K_A}^{4} + A^{4}}

Component: V5

V_5 = \frac{\frac{V_M5 A^{p}}{{K_5}^{p} + A^{p}} Z^{n}}{{K_d}^{n} + Z^{n}}

Component: cytosol

\frac{d}{d time} (Z) = (V_in - V_2) + V_3 + k_f Y - (k Z)

Component: internal_pool

\frac{d}{d time} (Y) = V_2 - V_3 - (k_f Y)

Component: InsP3_conc

\frac{d}{d time} (A) = beta V_4 - V_5 - (epsilon A)

Source: Derived from workspace Houart, Dupont and Goldbeter 1999 at changeset 72608d149029.

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Bursting, Chaos and birhythmicity Originating from Self-modulation of the Inositol 1,4,5-triphosphate Signal in a Model for Intracellular Ca2+ Oscillations