Stochastic approaches in phyllotaxis

Author:

Barabé Denis1

Affiliation:

1. Institut de Recherche en Biologie Végétale, Jardin botanique de Montréal, Université de Montréal 4101 Sherbrooke Est, Montréal, QC H1X 2B2, Canada (e-mail: denis.barabe@umontreal.ca).

Abstract

Theoretical models of phyllotaxis are based on geometric regularities appearing at the level of the shoot apical meristem (SAM). However, one cannot forget the presence of perturbed patterns in many plants. Disorganized patterns found in mutants of Arabidopsis and Antirrhinum bring new theoretical problems that cannot be solved by using models developed to analyse regular phyllotactic patterns. One way to take into account the perturbed patterns is to use a probabilistic approach to phyllotaxis. This review will focus mainly on recent probabilistic approaches that can be used to analyse perturbed patterns found in the plant kingdom in general and in phyllotactic mutants in particular. More precisely, it will be shown how probabilistic approaches can be used to determine the degree of order of phyllotactic patterns. By using particular tests, it is possible to statistically differentiate between whorled and distichous patterns (aggregated dispersion), spiral patterns (uniform dispersion), and random patterns (random dispersion). The elaboration of a general probabilistic model of phyllotaxis represents a new challenge for both theoretical and experimental research.

Publisher

Canadian Science Publishing

Subject

Plant Science

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