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2012, Number 3

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Rev Cubana Invest Bioméd 2012; 31 (3)

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

López-Vaca OR, Garzón-Alvarado DA

Language: Spanish
References: 33
Page: 297-307
PDF size: 313.52 Kb.


ABSTRACT

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.


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