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Modelling of Plant Growth with Apical or BasalMeristem

Published online by Cambridge University Press:  01 March 2011

N. Bessonov ,
F. Crauste  and
V. Volpert
N. Bessonov
Affiliation:
Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
F. Crauste
Affiliation:
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1 69622 Villeurbanne, France
V. Volpert*
Affiliation:
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1 69622 Villeurbanne, France
*
⋆Corresponding author. E-mail: volpert@math.univ-lyon1.fr
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Abstract

Plant growth occurs due to cell proliferation in the meristem. We model the case ofapical meristem specific for branch growth and the case of basal meristem specific forbulbous plants and grass. In the case of apical growth, our model allows us to describethe variety of plant forms and lifetimes, endogenous rhythms and apical domination. In thecase of basal growth, the spatial structure, which corresponds to the appearance ofleaves, results from dissipative instability of the homogeneous in space solution. Westudy nonlinear dynamics and wave propagation of the corresponding reaction-diffusionsystems. Bifurcation of periodic at infinity waves is investigated numerically.

Keywords

plant growthbasal meristemdissipative structurestravelling waves
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 2: Modelling of plant growth , 2011 , pp. 107 - 132
Copyright
© EDP Sciences, 2011

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