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

Richard L Buckalew

doi:10.3934/dcdsb.2014.19.867

Article Contents

2014, Volume 19, Issue 4: 867-881. Doi: 10.3934/dcdsb.2014.19.867

This issue Previous Article Next Article A survey of migration-selection models in population genetics

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

Richard L Buckalew^1,

1.
Morton Hall 321, Ohio University, Athens, OH, 45701

Received: December 31, 2012

Revised: August 31, 2013

Published: May 2014

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Abstract

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.

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Mathematics Subject Classification: Primary: 92C42, 37N25; Secondary: 34A34.

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