Postgraduate Course: MIGSAA Mathematical Biology (MATH12021)

Course Outline
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
SCQF Credits	15	ECTS Credits	7.5
Summary	This course develops student's understanding of some key topics in mathematical biology.
Course description	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)
Pre-requisites		Co-requisites
Prohibited Combinations		Other requirements	None

Course Delivery Information

Academic year 2023/24, Not available to visiting students (SS1)		Quota: None
Course Start	Semester 2
Timetable	Timetable
Learning and Teaching activities (Further Info)	Total Hours: 150 ( Lecture Hours 20, Programme Level Learning and Teaching Hours 3, Directed Learning and Independent Learning Hours 127 )
Assessment (Further Info)	Written Exam 0 %, Coursework 100 %, Practical Exam 0 %
Additional Information (Assessment)	Coursework : 100%
Feedback	Not entered
No Exam Information