# American Institute of Mathematical Sciences

June  2014, 19(4): 867-881. doi: 10.3934/dcdsb.2014.19.867

## Cell cycle clustering and quorum sensing in a response / signaling mediated feedback model

 1 Morton Hall 321, Ohio University, Athens, OH, 45701, United States

Received  January 2013 Revised  September 2013 Published  April 2014

RS feedback models have been successful in explaining the observed phenomenon of clustering in autonomous oscillation in yeast, but current models do not include the biological reality of dynamical delay and do not have the related property of quorum sensing. Here an RS type ODE model for cell cycle feedback, including an explicit term modeling a chemical feedback mediating agent, is analyzed. New dynamics include population dependent effects: subcritical pitchfork bifurcations, and quorum sensing occur. The model suggests new experimental directions in autonomous oscillation in yeast.
Citation: Richard L Buckalew. Cell cycle clustering and quorum sensing in a response / signaling mediated feedback model. Discrete & Continuous Dynamical Systems - B, 2014, 19 (4) : 867-881. doi: 10.3934/dcdsb.2014.19.867
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