Bifurcation analysis of a model of the budding yeast cell cycle

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2004-09-01
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American Institute of Physics
Abstract

We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae. We show that Clb2-dependent kinase exhibits bistability (stable steady states of high or low kinase activity). The transition from low to high Clb2-dependent kinase activity is driven by transient activation of Cln2-dependent kinase, and the reverse transition is driven by transient activation of the Clb2 degradation machinery. We show that a four-variable model retains the main features of the nine-variable model. In a three-variable model exhibiting birhythmicity (two stable oscillatory states), we explore possible effects of extrinsic fluctuations on cell cycle progression. (C) 2004 American Institute of Physics.

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Keywords
Mathematics, Applied, Physics, Mathematical, Mathematics, Physics, MATHEMATICS, APPLIED, PHYSICS, MATHEMATICAL, MATHEMATICAL-MODEL, MOLECULAR-MODEL, FISSION YEAST, DYNAMICS, NOISE, BIRHYTHMICITY, OSCILLATIONS, TRANSITIONS, HYSTERESIS, CIRCUITS
Citation
Battogtokh, D.; Tyson, J. J., "bifurcation analysis of a model of the budding yeast cell cycle," Chaos 14, 653 (2004); http://dx.doi.org/10.1063/1.1780011