PDEs and Reaction-Diffusion Systems in Chemistry and Biology

School of Mathematics

College of Engineering and Physical Sciences

Details

Code 22487

Level of study Third/Final year

Credit value 20

Semester Students may study either 1 or both.

Pre-requisite modules 22488,22504,22497

Module description

This module exposes students to a variety of techniques available to solve partial differential equations. Solution can be constructed by combining known solutions to the problem or by direct analytical calculations. Numerous chemical and biological phenomena are modelled by non-linear ODE's for example chemical reactions and voltage clamped nerve cells. Incorporating spatial heterogeneity in such models yields parabolic PDE's with non-linear interaction kinetics, often referred to as reaction-diffusion equations. In this module, such equations and their application are investigated in detail.

Teaching and learning methods

Lectures