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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 2018 (Monday, January 22 to Friday, March 16; Monday, April 23 to Friday, May 4)


  • 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


There are currently no students registered for this course.


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


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