Abstract.A continuing and future challenge in plant science is the "genetics of geometry" [3]: the recovery of information about the dynamics of the genetic mechanisms by which plants control the development of various features of their geometry. Some representative publications dealing with such issues include: (i) the modeling of plant architecture using L-systems and rewriting [18], (ii) the genetic control of floral development [4,10], and (iii) the positioning of the trichomes (hairs) on the leaves of plants such as Arabidopsis thaliana [23,25]. It is the positioning of trichomes which is examined in this chapter. The use of reaction-diffusion models is compared with cellular signaling and switching models. It is concluded that, in performing simulations to understand the dynamics of the mechanisms that control pattern formation in plants, it is necessary to work with a cellular model of the plant organ being studied in order to improve on current understanding about how the genetics controls the signaling and switching between cells to produce the observed patterns.
IntroductionThe importance of plants (and insects) in the study of the genetics and biology of all organisms relates to the fact that information recovered about the developmental biology of plants can be utilized, through bioinformatics, to improve on current understanding about the developmental biology of non-plants. This is a direct consequence of the revolution in molecular biology that has followed the publication of the double helix interpretation of heredity [33], and the consequential technological revolution associated with full genome sequencing of key organisms (e.g., Arabidopsis), with the discovery and exploitation of gene silencing, and with the fact, being exploited as an essential aspect of bioinformatics, that genes in different organisms with similar DNA sequences are often associated with similar phenotypes and roles. In addition, experimentation with plants is less expensive and ethically more acceptable than with mammals.