Qualitative analysis of a model of the cell division cycle

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)191-202
Journal / PublicationDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume12
Issue number2
Publication statusPublished - Apr 2005

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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-16244403296&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(dff680be-ce26-4e7f-bbcf-0fb60d49b0ea).html

Abstract

This paper qualitatively analyzes the mathematical model of the cell division for the interactions of Cdc2 and cyclin constructed by Tyson. Some basic dynamical properties such as existence and stability of its steady state, and bifurcations are investigated. Especially, the existence of limit cycle is proved. These conclusions concur well with Tyson's numerical results. Copyright © 2005 Watam Press.

Research Area(s)

  • Bifurcation, Cell division, Existence, Periodic solution

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100
Interaction Mathematics
100
Limit Cycle Mathematics
100
Mathematical Modeli... Mathematics
100
Cycle Mathematics
100
Copyright Keyphrases
100
Steady State Keyphrases
100
Numerical Results Keyphrases
100
Mathematical Model Keyphrases
100
Cell Division Keyphrases
100
Dynamical Propertie... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Qualitative analysis of a model of the cell division cycle. / Lü, Jinhu; Chen, Guanrong.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 12, No. 2, 04.2005, p. 191-202.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review