Plants as Combinatorial Structures and Applications

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, Inria Saclay - Ile de France, Ecole Centrale Paris, CIRAD - Centre de Coopération Internationale en Recherche Agronomique pour le Développement
Abstract : In this article, we introduce a new method allowing the computation of the distribution associated to the number of complex structures in plants deriving from GreenLab type growth model. In order to use this method, we set a new mathematical framework based on combinatorics. We show how plants can be seen as plane rooted trees and how their topology can be described by Dyck words. Moreover, we integrate plant growth in the formalism by adapting stochastic F0L-systems to the framework. This new representation enables not only the computation of the distribution associated to all types of organ but also the analysis of particular patterns thanks to a symbolic method. This approach gives new kinds of applications such as estimating the age of a plant from a set of botanical data.
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Cedric Loi, Paul-Henry Cournède, Jean Françon. Plants as Combinatorial Structures and Applications. Third International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications (PMA09), Nov 2009, Pékin, China. pp.319-326, ⟨10.1109/pma.2009.27 ⟩. ⟨inria-00546283⟩

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