You are here: Home / Exposures / Dupont, Goldbeter, 1992 / Protein phosphorylation driven by intracellular calcium oscillations: A kinetic analysis (Model B)

Model Mathematics

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Component: environment

Component: parameters

v2 = \frac{VM2 Z^{n}}{{KP}^{n} + Z^{n}} v3 = VM3 \frac{Y^{m}}{{KR}^{m} + Y^{m}} \frac{Z^{p}}{{KA}^{p} + Z^{p}}

Component: cytosol

\frac{d}{d time} (Z) = (v0 + v1beta - v2) + v3 + kf Y - (k Z)

Component: insensitive_pool

\frac{d}{d time} (Y) = v2 - v3 - (kf Y)

Component: phosphorylation

vP = vMK \frac{0.89}{20} \frac{d}{d time} (Wstar) = \frac{vP}{WT} (\frac{\frac{vK}{vP} (1 - Wstar)}{K1 + 1 - Wstar} - (\frac{Wstar}{K2 + Wstar}))

Component: kinase_reaction

vK = vMK \frac{Z^{q}}{{Ka}^{q} + Z^{q}}

Source: Derived from workspace Dupont Goldbeter 1992 at changeset ec8ab6ada190.

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