Modeling animal coat patterns through differential equations

Ben Volta


This project deals with the use of reaction-diffusion equations in creating a mathematical model for animal coat patterns. Stripes, spots, and patches are generated through chemical reactions in the embryonic stage; by translating these reactions in mathematical terms -- through reaction-diffusion equations -- we can study them and predict the various outcomes. We then compare these outcomes (which depend on a number of parameters) to real patterns from real animals -- such as zebras, giraffes, tigers, and the elusive spotted Snuffleupagus -- to determine the validity of the model.



[Odes Final Projects]

Web page maintained by dave@hornacek.coa.edu.