# MA256 Introduction to Mathematical Biology

**Lecturer: **Emma Davis

**Term(s): **Term 3

**Status for Mathematics students: **List A

**Commitment: **15 one hour lectures

**Assessment: **100% 2 hour examination

**Formal registration prerequisites: **None

**Assumed knowledge: **Students should have a good knowledge of differential equations and stochastic modelling. The following modules will provide a good background to this module:

- MA133 Differential Equations or MA113 Differential Equations A
- ST111 Probability A
- ST112 Probability B

**Useful background:** A good understanding of mathematical models of biological systems will help students to follow the material in this course. The book listed below by Keeling and Rohani "Modelling Infectious Diseases in Humans and Animals" will provide an excellent background to solving differential equations of biological systems.

**Synergies: **The following year 2 modules will go well with this module:

**Leads to: **The following modules have this module listed as **assumed knowledge** or **useful background:**

- MA390 Topics in Mathematical Biology
- MA4E7 Population Dynamics: Ecology & Epidemiology
- MA4M1 Epidemiology by Example

**Course content:**

** 1. General introduction to the course**

**2. Introduction to Systems Biology**

**3. Introduction to Epidemiology**

**Aims:
**Introduction to Mathematical Biology and Systems Biology. Modelling techniques (based on core module material).

**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

Christopher Fall, Eric Marland, John Wagner, John Tyson,

*Computational Cell Biology*, Springer 2002

L. Edelstein Keshet,

*Mathematical Models in Biology,*SIAM Classics in Applied Mathematics 46, 2005

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

Glendinning, P. Stability, Instability and Chaos, Cambridge Texts in Applied Mathematics, 1994

**Additional Resources**