The Effects of Dimension and Size for a Compartmental Model of Repression

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Abstract
The bifurcation of time periodic solutions in a compartmental reaction-diffusion model of a eukaryotic cell is studied as a function of various physical parameters including the size of the cell and the delays due to transcription and translation. The analytical results suggest a possible mechanism for the triggering of mitosis which is in qualitative agreement with observed behavior. These results are based on both detailed analyses of specific cases and on numerical solutions of the model equations.