Course content:

Following a general introduction to mathematical modelling for biology, the module will cover topics from the sub-cellular level to interacting populations. Subjects included are: enzyme dynamics, gene expression, electrophysiology, excitable cells, cellular communication, tissue-level and models of whole-body physiology, population dynamics, interacting populations and epidemiology.

Aims:

Introduction to the fundamentals of Mathematical Biology.

Objectives:

• To develop simple models of biological phenomena from basic principles
• To analyse simple models of biological phenomena using mathematics to deduce biologically significant results
• To reproduce models and fundamental results for a range of biological systems
• To have a basic understanding of the biology of the biological systems introduced

Books:

H. Van den Berg, Mathematical Models of Biological Systems, Oxford Biology, 2011
James D. Murray, Mathematical Biology: I. An Introduction. Springer 2007
Keeling, M.J. and Rohani, P. Modeling Infectious Diseases in Humans and Animals, Princeton University Press, 2007
Anderson, R. and May, R. Infectious Diseases of Humans, Oxford University Press, 1992

Outline syllabus for publication

Following a general introduction to mathematical modelling for biology, the module will cover topics from the sub-cellular level to interacting populations. Subjects included are: enzyme dynamics, gene expression, electrophysiology, excitable cells, cellular communication, tissue-level and models of whole-body physiology, population dynamics, interacting populations and epidemiology.

 Reading list

• H. van den Berg, Mathematical Models of Biological Systems, Oxford Biology, 2011
• James D. Murray, Mathematical Biology: I. An Introduction Springer 2007
• Anderson, R. and May, R. Infectious Diseases of Humans, Oxford University Press, 1992
• Keeling, M.J. and Rohani, P. Modeling Infectious Diseases in Humans and Animals, Princeton University Press, 2007