Georgia Institute of Technology College of Sciences

Reaction diffusion equations are a common tool in mathematical biology, and are used in diverse fields such as ecology, epidemiology and developmental biologyI will show some examples of reaction diffusion equations and what their solutions look like. I will focus on the problem of pattern formation during development and the mathematics that underly it, a problem first studied by Alan Turing more than 60 years ago. I will present a basic example that we can solve together using techniques from differential equations and linear algebra.