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.
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
Course Delivery Information
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| Academic year 2023/24, Not available to visiting students (SS1)
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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 )
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| Assessment (Further Info) |
Written Exam
0 %,
Coursework
100 %,
Practical Exam
0 %
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| Additional Information (Assessment) |
Coursework : 100% |
| Feedback |
Not entered |
| No Exam Information |
Learning Outcomes
| Further develop understanding of key topics at the heart of mathematical biology.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | migsaa,mathematical biology |
Contacts
| Course organiser | Prof A Carbery
Tel: (0131 6)50 5993
Email: A.Carbery@ed.ac.uk |
Course secretary | Ms Isabelle Hanlon
Tel: (0131 6)50 5955
Email: i.hanlon@ed.ac.uk |
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