Abstract

GARZON-ALVARADO, Diego  and  RAMIREZ-MARTINEZ, Angélica María. A Computer Assisted Approximation for the Generation of Patterns of Superficial Coarseness of the Pericarp and of the Seedhead of Some Plants: Coincidences in the Numerical Results. Ing. Univ. [online]. 2012, vol.16, n.1, pp.27-42. ISSN 0123-2126.

This article proposes a phenomenolo-gical model that describes the pattern formation of the seedcoat (seedhead) of plant seeds through reaction-diffusion equations with parameters within Turing's space. With the purpose of studying pattern formation, several numerical examples concerning simplified geometries of a seed are solved. The finite element method is used for the numerical solution along with the Newton-Raphson method for the approximation of partial non-linear differential equations. The numerical examples show that the model may represent the formation of different types of plant seedcoats.

Keywords : Botanics; progeny testing; seeds development; finite element method Turing test.

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