There are no announcements



This course is part of the MAGIC core.


Mathematics can be usefully applied to a wide range of applications in biology and medicine. Without assuming any prior biological knowledge, this module describes how mathematics can help us understand topics such as population dynamics, biochemical reaction kinetics, neuroscience and cancer. There is considerable emphasis on model building and development, use of ordinary and partial differential equations, and use of tools from dynamical systems.
In addition, some lectures will be used to inform students about the activities of the five EPSRC Centres for Mathematics in Healthcare, thereby exposing them to a range of cutting-edge applications and approaches.


Spring 2017 (Monday, January 23 to Friday, March 31)


  • Mon 13:05 - 13:55
  • Wed 13:05 - 13:55


Some familiarity with systems of ordinary differential equations (ODEs), steady states and stability, phase plane analysis for systems of two ODEs.


The syllabus will be broken down into blocks as follows (details to be confirmed):
1. Mon 23 Jan: Intro, population growth
2. Wed 26 Jan: Population growth
3. Mon 30 Jan: Population growth
4. Wed 1 Feb: Biochemical kinetics
5. Mon 6 Feb: Biochemical kinetics
6. Wed 8 Feb: Biochemical kinetics
7. Mon 13 Feb: models for ion-channel dynamics
8. Wed 15 Feb: models for ion-channel dynamics
9. Mon 20 Feb: models for ion-channel dynamics
10. Wed 22 Feb: Neuron models, Hodgkin-Huxley
11. Mon 27 Feb: Neuron models, Hodgkin-Huxley
12. Wed 1 Mar: Neuron models, Hodgkin-Huxley
13. Mon 6 March: Cancer and tissue growth
14. Wed 8 March: Cancer and tissue growth
15. Mon 13 March: John Aston, Carola Schoenlieb: EPSRC Centre for Mathematical and Statistical Analysis of Multimodal Clinical Imaging, University of Cambridge.
16. Wed 15 March: LCMH: Liverpool Centre for Mathematics in Healthcare
17. Mon 20 March: Presentations from one of the five EPSRC Centres for Mathematics in Healthcare.
18. Wed 22 March: Marc Goodfellow: EPSRC Centre for Predictive Modelling in Healthcare, University of Exeter.
19. Mon 27 March: Nick Hill (Glasgow): SofTMech - EPSRC Centre for Multiscale Soft Tissue Mechanics
20. Wed 29 March: Cancer and tissue growth, summary


Markus Owen (main contact)
Photo of Markus Owen
Stephen Coombes
Phone 0115 8467836
Reuben O'Dea
Email reuben.o'
Phone 0115 8466167
Ruediger Thul
Phone 0115 8467913
Jonathan Wattis
Phone 0115 9513857


Photo of Edward Acheampong
Edward Acheampong
Photo of Kevin Bolton
Kevin Bolton
Photo of Jonathan Brooks
Jonathan Brooks
Photo of Martina Cracco
Martina Cracco
Photo of Sara Frecentese
Sara Frecentese
Photo of James Haughton
James Haughton
Photo of Fiona Houlgreave
Fiona Houlgreave
Photo of Ewan Johnstone
Ewan Johnstone
Photo of Hayley Moore
Hayley Moore
Photo of Jordan Moore
Jordan Moore
Photo of Marianthi Moschou
Marianthi Moschou
Photo of Michael Roberts
Michael Roberts
Photo of Aleksandra Ross
Aleksandra Ross
Photo of Fabio Strazzeri
Fabio Strazzeri
Photo of Alison Telford
Alison Telford
Photo of James Van Yperen
James Van Yperen
Photo of Adam Yorkston
Adam Yorkston
(East Anglia)


Mathematical Biology: I. An IntroductionMurray
Mathematical Biology II: Spatial Models and Biomedical ApplicationsMurray


Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)


Assessment will be by a take-home exam paper in April 2016. You will have 2 weeks to complete the exam and submit your solutions online. There will be 5 questions, and full marks (out of 100) can be obtained if you submit correct solutions to 4 of them.

MAGIC091 Mathematical Biology exam

Files:Exam paper
Released: Monday 24 April 2017 (118.2 days ago)
Deadline: Sunday 7 May 2017 (104.2 days ago)

Recorded Lectures

Please log in to view lecture recordings.