You are here: Home / Exposures / Wolf, Passarge, Somsen, Snoep, Heinrich, Westerhoff, 2000 / Transduction of Intracellular and Intercellular Dynamics in Yeast Glycolytic Oscillations

Model Mathematics

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Component: environment

Component: S1

\frac{d}{d time} (S1) = Jo - v1

Component: S2

\frac{d}{d time} (S2) = v1 - v2

Component: S3

\frac{d}{d time} (S3) = 2 v2 - (v3 + v8)

Component: S4

\frac{d}{d time} (S4) = v3 - v4

Component: S5

\frac{d}{d time} (S5) = v4 - v5

Component: S6

\frac{d}{d time} (S6) = v5 - (v6 + J)

Component: S6_ex

\frac{d}{d time} (S6_ex) = phi J - v9

Component: A3

\frac{d}{d time} (A3) = v3 + v4 - (2 v1 + v7)

Component: A

A2 = A - A3

Component: N2

\frac{d}{d time} (N2) = v3 - (v6 + v8)

Component: N

N1 = N - N2

Component: v1

f_A3 = {(1 + {(\frac{A3}{K_i})}^{n})}^{- 1} v1 = k_1 S1 A3 f_A3

Component: v2

v2 = k_2 S2

Component: v3

v3 = \frac{k_GAPDH_plus k_PGK_plus S3 N1 A2 - (k_GAPDH_minus k_PGK_minus S4 A3 N2)}{k_GAPDH_minus N2 + k_PGK_plus A2}

Component: v4

v4 = k_4 S4 A2

Component: v5

v5 = k_5 S5

Component: v6

v6 = k_6 S6 N2

Component: v7

v7 = k_7 A3

Component: v8

v8 = k_8 S3 N2

Component: v9

v9 = k_9 S6_ex

Component: glucose_influx_rate

Component: S6_flux_rate_across_the_plasma_membrane

J = k (S6 - S6_ex)

Source: Derived from workspace Wolf, Passarge, Somsen, Snoep, Heinrich, Westerhoff, 2000 at changeset 780e7c5eb2b7.

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Transduction of Intracellular and Intercellular Dynamics in Yeast Glycolytic Oscillations