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

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 el 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.

Publication
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA 21, 85–113