A Comparison of the Boolean and Continuous Dynamics of Three-Gene Regulatory Networks

Q3 Mathematics Letters in Biomathematics Pub Date : 2014-01-01 DOI:10.1080/23737867.2014.11414470
Timothy D. Comar, M. Hegazy, M. Henderson, Daniel Hrozencik
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引用次数: 1

Abstract

Abstract We investigate the dynamics of three-gene regulatory networks with one feedback circuit using the Boolean and continuous models put forth by Gehrmann and Drossel [4]. We establish the existence of Hopf bifurcations in the continuous models and use these bifurcations to compare the models more closely. With this analysis we are able to establish the regions in the parameter space where the dynamical behavior of the models agree and where they disagree.
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三基因调控网络布尔动态与连续动态的比较
摘要利用Gehrmann和Drossel提出的布尔模型和连续模型研究了具有一个反馈回路的三基因调控网络的动力学。我们建立了连续模型中Hopf分岔的存在性,并利用这些分岔来比较模型。通过这种分析,我们能够在参数空间中建立模型动力学行为一致和不一致的区域。
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来源期刊
Letters in Biomathematics
Letters in Biomathematics Mathematics-Statistics and Probability
CiteScore
2.00
自引率
0.00%
发文量
0
审稿时长
14 weeks
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