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Variational Reduction for the Transport Equation in a MultipleBranching Plants Growth Model

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
S. Boujena ,
A. Chiboub  and
J. Pousin
S. Boujena*
Affiliation:
Department of Mathematics and Informatique, Faculty of Sciences Ain Chock, B.P 5366, Maarif 20200, Casablanca-Morocco
A. Chiboub
Affiliation:
Department of Mathematics and Informatique, Faculty of Sciences Ain Chock, B.P 5366, Maarif 20200, Casablanca-Morocco
J. Pousin
Affiliation:
INSA of Lyon, Institute Camille Jordan, UMR 5208, 69100 Villeurbanne, France
*
* Corresponding author: E-mail:[email protected]
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Abstract

Plant growth depends essentially on nutrients coming from the roots and metabolitesproduced by the plant. Appearance of new branches is determined by concentrations ofcertain plant hormones. The most important of them are Auxin and Cytokinin. Auxin isproduced in the growing, Cytokinin in either roots or in growing parts. Many dynamicalmodels of this phenomena have been studied in [1]. In [5], the authors deal with onebranch model. In this work, we focus our interest on a multiple branch model. We deal withthe transport equation in domains of different sizes. A variational reduction type method[3] based on asymptotic partial decomposition introduced in [2] (see also [4]) is used. Inthis work we consider the transport equation in decomposed domain with a general righthand side

Keywords

plant growthtransport equationmultiple branching plantsvariational reductioncells proliferationconcentrationhormonedisplacement
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 11 - 15
Copyright
© EDP Sciences, 2010

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References

N. Bessonov, V. Volpert. Dynamic models of plant growth. Mathematics and mathematical modeling I. Publibook Paris, (2007).
G.P. Panasenko. Multi-scale modelling for structures and composites. Springer Verlag, (2005).
O. Diallo. Modélisation et simulation numérique de résine réactive dans un milieu poreux. Thèse de doctorat, Université Claude Bernard Lyon 1, (2000).
F. Fontevieille. Décomposition asymptôtique et éléments finis. Thèse de doctorat, Université Claude Bernard Lyon 1, (2004).
M.Picq, J.Pousin.Variational reduction for the transport equation and plants growth. Proccedings of the conference modelling of the heterogeneous materials with applications in constructions and biological engineering, czech technical, University of Prague, (2007).