Weekes, Suzanne L.
Mathematicians and biologists have presented various models to describe patterns found in biological systems. In 1952, Alan Turing proposed a reaction-diffusion model where diffusion acts as a destabilizing effect, leading to pattern formation. This idea of diffusive instability is contrary to the typical notion of diffusion as a smoothing influence. Using linear stability analysis and numerical simulations, we investigate pattern formation caused by diffusive instability. By varying properties of the system, we simulate patterns found in nature.
Worcester Polytechnic Institute
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