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

D McInerney; S Schnell; R E Baker; P K Maini

doi:10.1093/imammb/21.2.85

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

D McInerney·S Schnell·R E Baker·P K Maini

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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.

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Animals Cell Cycle Chick Embryo Embryonic Development Models, Biological Numerical Analysis, Computer-Assisted Somites Comparative Study Journal Article Research Support, Non-U.S. Gov't

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D McInerney, S Schnell, R E Baker, P K Maini. 2004. A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions.. https://doi.org/10.1093/imammb%2F21.2.85

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