论文信息 - The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback

The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback

Abstract Many models of open enzyme regulated systems are given by two first order differential equations of a certain type. We present a set of biochemically reasonable conditions for the rate laws which imply the existence of observable oscillations. A simple positive feedback mechanism is discussed as an example. Results on the allosteric model of glycolytic oscillations, which were formerly obtained by linear stability analysis and computer simulation, are extended and verified by mathematical proofs.

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