Programme And Module Handbook
 
Course Details in 2021/22 Session


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Module Title LM Advanced Mathematical Biology
SchoolMathematics
Department Mathematics
Module Code 06 31128
Module Lead Tom Montenegro-Johnson
Level Masters Level
Credits 20
Semester Semester 2
Pre-requisites
Co-requisites
Restrictions None
Contact Hours Lecture-46 hours
Tutorial-10 hours
Guided independent study-144 hours
Total: 200 hours
Exclusions
Description Many biological systems are not well-mixed. Randomness, networks, underlying structure, and spatial inhomogeneities drive interesting dynamical behaviours not possible in well-mixed models. This module will examine these behaviours in systems of biological and medical importance, drawing from research currently being undertaken at the University of Birmingham. Topics to be covered in the first half of the course may include, amongst others: stochasticity in birth-death processes, modelling tumour growth, emergent collective behaviour (eg bird flocking), axon modelling and neural networks, and complex networks in biology. Topics to be covered in the second half of the course may include, amongst others: random walks to continuum models, cell taxis, autocatalytic reaction-diffusion waves, invasive species, Turing patterns and animal coat markings, travelling waves in the retina, and model parameterisation theory.
Learning Outcomes By the end of the module students should be able to:
  • Demonstrate how spatial variation can drive complex dynamics in biological systems
  • Explain how randomness can affect the behaviour of biological systems
  • Analyse coupled PDE systems relating to biology
  • Describe how complex behaviour and functionality can emerge from systems of many simple, interconnected elements
Assessment 31128-03 : Raw Module Mark : Coursework (100%)
Assessment Methods & Exceptions "Assessment: 2 hour Summer Examination (80%); In-course Assessment (20%). "
Other
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