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Module Title LH Mathematical Biology I
SchoolMathematics
Department Mathematics
Module Code 06 27704
Module Lead Dr Sara Jabbari
Level Honours Level
Credits 10
Semester Semester 1
Pre-requisites LI Differential Equations - (06 25670) LI Multivariable & Vector Analysis - (06 25667)
Co-requisites
Restrictions Students cannot take the LM Mathematical Biology module in combination with this module
Contact Hours Lecture-23 hours
Tutorial-4 hours
Practical Classes and workshops-2 hours
Guided independent study-71 hours
Total: 100 hours
Exclusions
Description 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.
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