A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions

Mathematical Medicine and Biology : a Journal of the IMA
D McinerneyP K Maini

Abstract

In this work we present an analysis, supported by numerical simulations, of the formulation of the cell-cycle model for somitogenesis proposed in Collier et al. (J. Theor Biol. 207 (2000), 305-316). The analysis indicates that by introducing appropriate parameter constraints on model parameters the cell-cycle mechanism can indeed give rise to the periodic pattern of somites observed in normal embryos. The analysis also provides a greater understanding of the signalling process controlling somite formation and allows us to understand which parameters influence somite length.

Citations

Feb 8, 2006·Journal of Mathematical Biology·R E BakerP K Maini
Sep 4, 2008·Bulletin of Mathematical Biology·Nicola J ArmstrongJonathan A Sherratt
Mar 9, 2011·Journal of Theoretical Biology·Rebecca H ChisholmPaul M Whitington
Nov 9, 2007·Trends in Cell Biology·Andrew Mara, Scott A Holley
May 9, 2007·Developmental Dynamics : an Official Publication of the American Association of Anatomists·Scott A Holley
Mar 21, 2006·Developmental Biology·R E BakerP K Maini

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