A symbolic method to analyse patterns in plant structure whose organogenesis is driven by a multitype branching process

Cedric Loi 1, 2, * Paul-Henry Cournède 1, 2 Jean Françon 3
* Corresponding author
2 DIGIPLANTE - Modélisation de la croissance et de l'architecture des plantes
MAS - Mathématiques Appliquées aux Systèmes - EA 4037, CIRAD - Centre de Coopération Internationale en Recherche Agronomique pour le Développement, Inria Saclay - Ile de France, Ecole Centrale Paris
Abstract : Formal grammars like L-systems have long been used to describe plant growth dynamics. In this article, they are used for a new purpose. The aim is to build a symbolic method derived from computer science that enables the computation of the distribution associated to the number of complex structures in plants whose organogenesis is driven by a multitype branching process. To that purpose, a new combinatorial framework is set in which plant structure is coded by a Dyck word. Moreover, the organogenesis is represented by stochastic F0L-systems. By doing so, the problem is equivalent to determining the distribution of patterns in random words generated by stochastic F0L-system. This method leads directly to numerous applications like parametric identication for plant growth model.
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Cedric Loi, Paul-Henry Cournède, Jean Françon. A symbolic method to analyse patterns in plant structure whose organogenesis is driven by a multitype branching process. 2010. ⟨inria-00546309⟩

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