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Unformatted text preview: Quantitative Physiology I / Molecular and Cellular Systems, BMEN E4001x Notes 06 – Numerical simulations Keener & Sneyd, section 1.3 Glycolysis and Glycolytic oscillations web-available Runge-Kutta and MATLAB resource Sel’kov model Glucose Fructose 6-P Fructose 1,6-P Pyruvate PFK1 Under certain conditions, this system exhibits oscillations. K&S has a full description of the history and interactions. Earlier, we discussed that PFK1 is inhibited by ATP, and also acts on ATP. In this model, assume that ADP provides a positive regulation on PFK1; need to generate more ATP. Specifically, assume: • ATP is a substrate and inhibitor to PFK1 (source of phos. for creating F-1,6-P) • Inhibition is removed by AMP • Steady state doesn’t capture full behavior • Oscillations have been observed in yeast models • Sel’kov model as a simplified explanation • Goal: find reaction behavior as a function of input ATP • binding of a certain number of ADPs, γ , (correlated to AMP) activates PFK1...
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- Fall '10
- Steady State, conservation law, oscillations web-available Runge-Kutta, Sel’kov model