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

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

How to Cite
Comar, Timothy D., Marihan Hegazy, Miranda Henderson, and Daniel Hrozencik. 1. “A Comparison of the Boolean and Continuous Dynamics of Three-Gene Regulatory Networks”. Letters in Biomathematics 1 (1), 51 - 65. https://doi.org/10.1080/23737867.2014.11414470.
Section
Research

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