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

Authors

  • Timothy D. Comar Department of Mathematics, Benedictine University, Lisle IL Author
  • Marihan Hegazy Department of Mathematics, Benedictine University, Lisle IL Author
  • Miranda Henderson Department of Mathematics, Benedictine University, Lisle IL Author
  • Daniel Hrozencik Chicago State University, Chicago, IL Author

DOI:

https://doi.org/10.30707/LiB1.1Comar

Keywords:

Gene regulatory network, Boolean dynamics, Bifurcations

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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Published

2023-11-11

Issue

Vol. 1 No. 1 (2014)

Section

Research

How to Cite

A Comparison of the Boolean and Continuous Dynamics of Three-Gene Regulatory Networks. (2023). Letters in Biomathematics, 1(1), 51-65. https://doi.org/10.30707/LiB1.1Comar

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