School of Computing and Mathematics

Faculty of Natural Sciences

For academic year: 2019/20 Last Updated: 20 November 2019

MAT-30023 - Mathematical Biology

Mathematics Minor (Level 6)

None

None

None

This module will show you how mathematics is an interdisciplinary subject, with particular attention to biology. Applications of mathematics to biological situations is one of the fastest growing areas where mathematics can explain and predict behaviour. These predictions are not just theoretical: every day people's lives are saved due to the predictions possible.

We shall investigate a diverse set of applications. Game theory has provided new mathematical tools to study the evolution of animal behaviour. The biology of population growth and disease transmission, in particular, recent advances in our mathematical understanding of biology has provided new insight into the spread of MRSA. In the last few years there have been advances in the application of mathematics to the study of animal gaits (the different method of locomotion).

The module develops the following Keele Graduate attributes:

1. An open and questioning approach to ideas, demonstrating curiosity and independence of thought.

2. An appreciation of the development and value of Mathematics and the links between different areas of the subject.

4. The ability creatively to solve problems using a range of different approaches and techniques, and to determine which techniques are appropriate for the problem at hand.

6. The ability to communicate clearly and effectively in written form.

We shall investigate a diverse set of applications. Game theory has provided new mathematical tools to study the evolution of animal behaviour. The biology of population growth and disease transmission, in particular, recent advances in our mathematical understanding of biology has provided new insight into the spread of MRSA. In the last few years there have been advances in the application of mathematics to the study of animal gaits (the different method of locomotion).

The module develops the following Keele Graduate attributes:

1. An open and questioning approach to ideas, demonstrating curiosity and independence of thought.

2. An appreciation of the development and value of Mathematics and the links between different areas of the subject.

4. The ability creatively to solve problems using a range of different approaches and techniques, and to determine which techniques are appropriate for the problem at hand.

6. The ability to communicate clearly and effectively in written form.

This module aims to develop students' ability to view mathematics as an interdisciplinary subject and to provide some applications in biology.

demonstrate ability to analyse qualitative aspects of ODEs in a biological modelling context: 1,3

apply appropriate techniques to solve a given model of a biological problem: 1,2,3

select appropriate approaches/methods and tools to generate mathematical models of aspects of biology: 1,2,3

formulate and critically evaluate biological models: 2,3

critically evaluate the merits and weaknesses of biological models: 3

evaluate the output of a modelling analysis, interpretation the results in a biological context: 2,3

apply appropriate techniques to solve a given model of a biological problem: 1,2,3

select appropriate approaches/methods and tools to generate mathematical models of aspects of biology: 1,2,3

formulate and critically evaluate biological models: 2,3

critically evaluate the merits and weaknesses of biological models: 3

evaluate the output of a modelling analysis, interpretation the results in a biological context: 2,3

Lectures: 30 Hours

Preparation for class tests and assignment: 24 Hours

Independent Study: 96 Hours

Preparation for class tests and assignment: 24 Hours

Independent Study: 96 Hours

None

Two class tests

Two class tests to assess both theoretical and practical aspects of the module. The class tests are all equally weighted. Each class test will last approximately one-hour.

A written assignment

A written assignment on interacting population models. The assessment provides an interacting population model. Students analyse the qualitative aspects of the model, selecting and applying appropriate techniques to draw suitable conclusions in a biological context. The output of the assessment will be a written mathematical report. The length of the report will not exceed three pages, including figures, tables and appendices. Formatting guidelines will be provided.

An investigative report

An in-depth investigative report covering the theoretical and practical aspects of the module. The assessment provides a biological situation that requires modelling. Students evaluate the relative merits of different modelling approaches, then formulate an appropriate mathematical model. Students analyse the qualitative aspects of their model, selecting and applying appropriate techniques, evaluating and interpreting their analysis, drawing suitable conclusions in a biological context. The output of the assessment will be a written mathematical report. The length of the report will not exceed eight pages, including figures and tables, but not including appendices. Formatting guidelines will be provided.