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1 results

  • A Symbolic Method to Analyse Patterns in Plant Structure

  • C. LOI, P.-H. COURNÈDE, J. FRANÇON
  • Journal:
    Combinatorics, Probability and Computing / Volume 23 / Issue 5 / September 2014
    Published online by Cambridge University Press:
    09 July 2014, pp. 842-860

  • Formal grammars such as 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 that enables the computation of the stochastic distribution associated with the number of complex structures in plants whose organogenesis is driven by a multitype branching process. For that purpose, a new combinatorial framework is set in which plant structure is coded by a Dyck word. Moreover, organogenesis is represented by stochastic F0L-systems. In doing so, the problem is equivalent to determining the distribution of patterns in random words generated by a stochastic F0L-system. This method finds interesting applications in the parameter identification of stochastic models of plant development.