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Article Dans Une Revue Combinatorics, Probability and Computing Année : 2014

A Symbolic Method to Analyse Patterns in Plant Structure

Résumé

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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Dates et versions

hal-02527843 , version 1 (01-04-2020)

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Cedric Loi, Paul-Henry P.-H. Cournède, Jean Françon. A Symbolic Method to Analyse Patterns in Plant Structure. Combinatorics, Probability and Computing, 2014, 23 (5), pp.842-860. ⟨10.1017/S0963548314000108⟩. ⟨hal-02527843⟩
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