Postgraduate Course: MIGSAA Mathematical Biology (MATH12021)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 12 (Postgraduate)
||Availability||Not available to visiting students
|Summary||*Only students of the MIGSAA CDT may take this course*
This course develops student's understanding of some key topics in mathematical biology.
Lecture 1-3: Population Ecology and Evolution (Coordinated by Rachel Norman, Stirling) Simple models of population dynamics and applications; extension to disease models. Methods of model formulation and analysis relating to phenomena on evolutionary time scales. Adaptive dynamics of pathogen-host interactions. Evolutionary stability and bifurcation theory. Host population structure.
Lecture 4-6: Mathematical models of the human body (Coordinated by Nick Hill, Glasgow) For example: Cardiac and nerve excitability; mechanisms of propagation failure; bidomain model of myocardial tissue. Phenomenological models of solid tumour growth; logistic growth and Gompertz growth models; avascular tumour models; moving boundary problems; radial symmetric growth and symmetry breaking; reaction-diffusion models; angiogenesis models; vascular and invasive growth models.
Lecture 7-9: Modelling of the environment (coordinated by Jonathan Sherratt, Heriot-Watt) For example: travelling waves: Brief discussion of wave fronts in systems of reaction-diffusion equations. Periodic travelling waves in oscillatory reaction-diffusion equations. Applications in ecology.
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| None
Course Delivery Information
|Academic year 2015/16, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
Lecture Hours 20,
Programme Level Learning and Teaching Hours 3,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Coursework : 100%
|No Exam Information
| To further develop students┐ understanding of some key topics at the heart of mathematical biology.
|Graduate Attributes and Skills
|Course organiser||Prof A Carbery
Tel: (0131 6)50 5993
|Course secretary||Ms Isabelle Hanlon
Tel: (0131 6)50 5955
© Copyright 2015 The University of Edinburgh - 18 January 2016 4:26 am