Modelling of Plant Growth with Apical or Basal Meristem

N. Bessonov; F. Crauste; V. Volpert

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 2, page 107-132
  • ISSN: 0973-5348

Abstract

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

How to cite

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Bessonov, N., Crauste, F., and Volpert, V.. "Modelling of Plant Growth with Apical or Basal Meristem." Mathematical Modelling of Natural Phenomena 6.2 (2011): 107-132. <http://eudml.org/doc/222259>.

@article{Bessonov2011,
abstract = {Plant growth occurs due to cell proliferation in the meristem. We model the case of apical meristem specific for branch growth and the case of basal meristem specific for bulbous plants and grass. In the case of apical growth, our model allows us to describe the variety of plant forms and lifetimes, endogenous rhythms and apical domination. In the case of basal growth, the spatial structure, which corresponds to the appearance of leaves, results from dissipative instability of the homogeneous in space solution. We study nonlinear dynamics and wave propagation of the corresponding reaction-diffusion systems. Bifurcation of periodic at infinity waves is investigated numerically. },
author = {Bessonov, N., Crauste, F., Volpert, V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {plant growth; basal meristem; dissipative structures; travelling waves},
language = {eng},
month = {3},
number = {2},
pages = {107-132},
publisher = {EDP Sciences},
title = {Modelling of Plant Growth with Apical or Basal Meristem},
url = {http://eudml.org/doc/222259},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Bessonov, N.
AU - Crauste, F.
AU - Volpert, V.
TI - Modelling of Plant Growth with Apical or Basal Meristem
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/3//
PB - EDP Sciences
VL - 6
IS - 2
SP - 107
EP - 132
AB - Plant growth occurs due to cell proliferation in the meristem. We model the case of apical meristem specific for branch growth and the case of basal meristem specific for bulbous plants and grass. In the case of apical growth, our model allows us to describe the variety of plant forms and lifetimes, endogenous rhythms and apical domination. In the case of basal growth, the spatial structure, which corresponds to the appearance of leaves, results from dissipative instability of the homogeneous in space solution. We study nonlinear dynamics and wave propagation of the corresponding reaction-diffusion systems. Bifurcation of periodic at infinity waves is investigated numerically.
LA - eng
KW - plant growth; basal meristem; dissipative structures; travelling waves
UR - http://eudml.org/doc/222259
ER -

References

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