Workshop on Pattern Formation and Functional Morphology, Fri, 11 Jan, 2008
Speaker: Robert Anderssen
Abstract
Formally and conceptually, because one must sort through a plethora of possibilities, the formulation of a model of a biological process corresponds to solving an inverse problem. The regularization is performed by invoking biological constraints that assists in reducing the number of alternatives that must be assessed. Modelling “how the genetics of an organism controls some geometric feature in its development” also involves sorting through various possibilities and, therefore, from a problem-solving perspective, must be viewed as an inverse problem. However, when compared to the solution of standard inverse problems, a “genetics of geometry” problem involves an additional step. Before a mechanism for “how, in a particular situation, the genes control the geometry” can be formulated, it is first necessary to identify the characteristic of the geometry that evolution has discovered which the genetics has been organized to reproduce. Phyllotaxis can be used as a model system to illustrate the essence of the logic involved when solving a problem in the “genetics of geometry”.
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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