Unit name | Mathematical Modelling in Physiology and Medicine |
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Unit code | EMATM0007 |
Credit points | 10 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Marucci |
Open unit status | Not open |
Pre-requisites |
Basic knowledge of non-linear systems, stability analysis and bifurcation theory e.g. EMAT33100 or equivalent |
Co-requisites |
None |
School/department | School of Engineering Mathematics and Technology |
Faculty | Faculty of Engineering |
Description: This unit is taught intensively in TB1 (as a FAT unit) and aims to introduce mathematicians and engineers to some of the latest thinking in cell biology, neuroscience, systems and synthetic biology. It also aims to introduce modern mathematical techniques based on differential equations for understanding the dynamics of biological systems via numerical continuation, using the software XPP-aut. It will be shown how to derive mathematical equations from the basic laws of mass action that describe biochemical reactions, and therefore how certain chemical motifs carry out certain dynamical functions. A range of topics including ion channels and synthetic gene regulatory networks will be introduced using a combination of simple and advanced techniques.
Aims: To give students an appreciation of how mathematical models can be useful to understand complex biological processes. To provide a point of entry into the modern research literature in cell biology, in systems and synthetic biology. To explore modern mathematical techniques based on differential equations for understanding the dynamics of biological systems.
By the end of this unit students will have:
Lectures and computer laboratory sessions.