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Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System

K. E. GordonI. M.M. van LeeuwenS. LaínM. A.J. Chaplain — 2009

Mathematical Modelling of Natural Phenomena

In this paper we investigate the role of spatial effects in determining the dynamics of a subclass of signalling pathways characterised by their ability to demonstrate oscillatory behaviour. To this end, we formulate a simple spatial model of the p53 network that accounts for both a negative feedback and a transcriptional delay. We show that the formation of protein density patterns can depend on the shape of the cell, position of the nucleus, and the protein diffusion rates. The temporal...

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