A nonlinear analysis of a mechanical model for biological pattern formation
SIAM Journal on Applied Mathematics
Journal of Scientific Computing
Journal of Computational Physics
Computer Methods and Programs in Biomedicine
The finite volume spectral element method to solve Turing models in the biological pattern formation
Computers & Mathematics with Applications
Growth of the flat bones of the membranous neurocranium: A computational model
Computer Methods and Programs in Biomedicine
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We present here a mathematical model of chondrocytes hypertrophy, regulated by molecular factors, able to predict the onset of secondary ossification centres during long bones development. From the results obtained, we can conclude that the chemical feedback between two reactive molecular factors through a reaction-diffusion mechanism could explain the stable spatial pattern found in the origination of secondary ossification centres, as well as the dependency of such a pattern on the size and shape of the bone head, in line with what has been observed in different animals.