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| HAL: inria-00546309, version 1 |
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| A symbolic method to analyse patterns in plant structure whose organogenesis is driven by a multitype branching process |
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Cedric Loi 1, 2Paul-Henry Cournède 1, 2 |
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| (2010-12-15) |
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| 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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| 1: | Mathématiques Appliquées aux Systèmes - EA 4037 (MAS) |
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Ecole Centrale Paris |
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| 2: | DIGIPLANTE (INRIA Saclay - Ile de France) |
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INRIA – Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR – Ecole Centrale Paris |
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| 3: | Département d'informatique |
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Université de Strasbourg |
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| Domain | : | Mathematics/Dynamical Systems Mathematics/Combinatorics Life Sciences/Vegetal Biology/Botanics |
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| inria-00546309, version 1 | |
| http://hal.inria.fr/inria-00546309 | |
| oai:hal.inria.fr:inria-00546309 | |
| From: Cedric Loi | |
| Submitted on: Wednesday, 15 December 2010 08:51:22 | |
| Updated on: Thursday, 6 January 2011 22:36:05 | |
