Mathematical Biology II module (MA42002)
About the module
The aim of this module is to introduce Level 4 students to some biological phenomena and their formulation in terms of mathematical models, building on the work in MA32009/MA41002 (Mathematical Biology I). This module is mandatory for Level 4 students taking the BSc or MSci in Mathematical Biology, and may optionally be taken in combination with other modules by students taking the BSc or MMath in Mathematics or any of the other Mathematics combined degrees. If you have questions about this module or the possible combinations, please contact your Advisor of Studies.
Students taking this module must have achieved a pass mark in the module MA32009, or in MA41002, or equivalent.
Modelling of Biological Systems using Partial Differential Equations
Derivation of conservation equations. Different models for movement (e.g. diffusion, convection, directed movement). Connection between diffusion and probability.
Linear reaction-diffusion equations
Fundamental solution for linear diffusion equations. Speed of a wave of invasion.
Non-linear reaction-diffusion equations
Travelling wave solutions for monostable equations (e.g. Fisher equation). Travelling wave solutions for bistable equations.
Systems of reaction-diffusion equations
Travelling wave solutions for systems of reaction-diffusion equations. Pattern formations in systems of reaction-diffusion equations. Pattern formations in chemotaxis equations.
Mathematical modelling of infection diseases (SIR)
Derivation of a simple SIR model. Travelling wave solutions for the simple SIR model. Generalisation of the simple SIR model. Stochastic SIR model.
Delivery and Assessment
The module is delivered in the form of lectures and workshops/tutorials and assessed via an exam (80%) and coursework (20%).
This module is a Scottish Higher Education Level 4 or SCQF level 10 module and is rated as 15 SCOTCAT credits or 7.5 ECTS credits.