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
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.
