Computational models for patterning on a growing butterfly

Andy Wathen.
Oxford University.
Oxford - UK.


Thursday, March 18, 10:30 CERFACS Conference Room


Abstract

The diffusion driven instablity mechanism original suggested by Turing is one of a number of models for the creation of `form' from homogenaity in biological systems. Such discrimination mechanisms arise widely. In this talk we will describe the application of this model to the formation of patterns on the butterfly Papilio Dardanus, a well studied species in which the females exhibit a variety of different wing patterns. The enabling technology for our study is a numerical method based on finite element approximation on a continuous deforming computational grid for a system of reaction-diffusion equations. The software we use is freely available at http://web.comlab.ox.ac.uk/oucl/work/andy.wathen/software.html. We will show various steady-state and time-evolving patterns relevant to the butterfly study.

butterfly 

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