THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2017/2018

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Postgraduate Course: MIGSAA Mathematical Biology (MATH12021)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 12 (Postgraduate) AvailabilityNot available to visiting students
SCQF Credits15 ECTS Credits7.5
Summary*Only students of the MIGSAA CDT may take this course*
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 2017/18, 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
Learning Outcomes
To further develop students┐ understanding of some key topics at the heart of mathematical biology.
Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
Keywordsmigsaa,mathematical biology
Contacts
Course organiserProf A Carbery
Tel: (0131 6)50 5993
Email: A.Carbery@ed.ac.uk
Course secretaryMs Isabelle Hanlon
Tel: (0131 6)50 5955
Email: i.hanlon@ed.ac.uk
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