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ISSN 1561-3011 (Electronic)

2011, Number 1

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Rev Cubana Invest Bioméd 2011; 30 (1)

Growth effect in diffusion reaction processes, an approach to growth biology

Garzón-Alvarado DA, María RA, Landinez PN

Language: Spanish
References: 28
Page: 64/82
PDF size: 583.90 Kb.


ABSTRACT

The behavior of reaction-diffusion equations has been studied in different fields of biology, bioengineering and chemistry, among others. Interestingly, when the parameters of reaction-diffusion system are placed in the Turing's space, solution leads to formation of Turing's patterns remaining stable in time and unstable in space. These patterns may be modified due to action of growth of domain where reaction is developed. The objective of present paper is to propose in general, the reaction-diffusion equations over the growing domains in 2D and 3D. Also, to study the growth effect on the patterns formation some numerical examples on different geometries must to be solved. For numerical solution we used the finite elements method together with the Newton-Raphson method to approach of the partial nolinear differential equations. It was noted that the growth to affect the Turing's patterns formation generating complex structures in the domain.


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