dorsal/arxiv
View SchemaBifurcation analysis of a model of the budding yeast cell cycle
| Authors | Dorjsuren Battogtokh, John J. Tyson |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0404006 |
| URL | https://arxiv.org/abs/q-bio/0404006 |
| DOI | 10.1063/1.1780011 |
Abstract
We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the 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.
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"abstract": "We study the bifurcations of a set of nine nonlinear ordinary differential\nequations that describe the regulation of the cyclin-dependent kinase that\ntriggers DNA synthesis and mitosis in the budding yeast, Saccharomyces\ncerevisiae. We show that Clb2-dependent kinase exhibits bistability (stable\nsteady states of high or low kinase activity). The transition from low to high\nClb2-dependent kinase activity is driven by transient activation of\nCln2-dependent kinase, and the reverse transition is driven by transient\nactivation of the Clb2 degradation machinery. We show that a four-variable\nmodel retains the main features of the nine-variable model. In a three-variable\nmodel exhibiting birhythmicity (two stable oscillatory states), we explore\npossible effects of extrinsic fluctuations on cell cycle progression.",
"arxiv_id": "q-bio/0404006",
"authors": [
"Dorjsuren Battogtokh",
"John J. Tyson"
],
"categories": [
"q-bio.MN"
],
"doi": "10.1063/1.1780011",
"title": "Bifurcation analysis of a model of the budding yeast cell cycle",
"url": "https://arxiv.org/abs/q-bio/0404006"
},
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