Faculty Advisor

Jordan, Richard

Faculty Advisor

Weekes, Suzanne L.

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2001

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

Advisor Program

Mathematical Sciences

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