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Math Med Biol. 2004 Jun;21(2):85-113.

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

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1
Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK.

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.

PMID:
15228101
[Indexed for MEDLINE]
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