Mathematical models are used increasingly to understand complex phenomena in biology and medicine, and have been used to explain phenomena at a wide range of scales, from genes, proteins and metabolites, cells, tissues and organs, to organisms, populations and ecosystems. This module builds on the students’ knowledge of mathematical nonlinear differential and difference equations to explore the paradigm models in mathematical biology, particularly microbiology and developmental biology. The mathematical models will be linked to experimental work and biomedical science, in particular focusing on the importance of experiment in testing and refining models, in estimating parameters, and finally the application of models in making useful predictions. Topics will cover a broad spectrum of population dynamics models to be selected from predator-prey systems, enzyme kinetics, population genetics, chemical signalling, gene regulation networks, epidemiology and neuron firing.
Learning Outcomes
By the end of the module students should be able to:
Apply core ideas (birth/replication, death/predation, catalysis, saturation, binding kinetics etc.) in the modelling of molecules, cells and organisms.
Formulate models of new problems using the ideas presented in the module in terms of systems of differential equations.
Link mathematical models to experimental work, particularly in the estimation of parameters and the testing and refining of models.
Analyse the dynamical properties of differential equation models systems and use these properties to make predications regarding biological and biomedical problems.
Assessment
27704-01 : Raw Module Mark : Coursework (100%)
Assessment Methods & Exceptions
90% on a 1.5 hour examination; 10% from coursework and/or class tests.
Reassessment: 100% on a 1.5 hour resit examination.