A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions.
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.
McInerney
D
D
Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK.
Schnell
S
S
Baker
R E
RE
Maini
P K
PK
D000818:Animals; D002453:Cell Cycle / Q000502:physiology*; D002642:Chick Embryo; D047108:Embryonic Development / Q000502:physiology*; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D019170:Somites / Q000166:cytology / Q000502:physiology*