Abstract

LOPEZ-VACA, Oscar Rodrigo  and  GARZON-ALVARADO, Diego Alexander. Representation of the development of the primary spongiosa by means of a reaction-diffusion system: a hypothesis on the onset of immature bone formation. Part 2: Numerical implementation. Rev Cubana Invest Bioméd [online]. 2012, vol.31, n.3, pp.297-307. ISSN 0864-0300.

A presentation is made of the numerical implementation of the biochemical model described by means of the reaction-diffusion system in Part 1. Based on the results obtained it may be concluded that the chemical feedback of the two molecular factors by means of a reaction-diffusion (RD) system with Turing space parameters may explain the appearance of the spatio-temporal patterns found in the architecture of the primary spongiosa. For the numerical solution, use was made of the finite element method in combination with the Newton-Raphson method to approximate the linear partial differential equations. The ossification patterns obtained may represent the formation of the primary spongiosa during endochondral ossification.

Keywords : primary spongiosa; endochondral ossification; reaction-diffusion systems; finite element simulation.

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