Topics in Biomedical Mathematics
| Code | School | Level | Credits | Semesters |
| MATH4014 | Mathematical Sciences | 4 | 20 | Spring UK |
- Code
- MATH4014
- School
- Mathematical Sciences
- Level
- 4
- Credits
- 20
- Semesters
- Spring UK
Summary
This course illustrates the applications of advanced techniques of mathematical modelling using ordinary and partial differential equations. A variety of medical and biological topics are treated bringing students close to active fields of mathematical research. Topics to be investigated will be drawn from the following areas:
- theoretical neuroscience;
- biomechanical modelling (surface tension effects in the lung, muscle mechanics and peristalsis, physiological flow-structure interactions;
- multiphase models for growing tissues);
- biomedical transport processes (boundary layers, facilitated transport);
- spiral waves in reaction-diffusion systems.
Target Students
Single and Joint Honours students from the School of Mathematical Sciences. Students taking the MSc in Mathematical Medicine and Biology.
Co-requisites
Modules you must take in the same academic year, or have taken in a previous year, to enrol in this module:
Classes
- Three 1-hour lectures each week for 10 weeks
Assessment
- 100% Exam 1 (3-hour): Written examination
Assessed by end of spring semester
Educational Aims
Thiscourse illustrates how mathematical models of complex biological and medical systems are developed to help provide quantitative understanding and insight. Models will be based around ordinary and partial differential equations, providing opportunities for the application of advanced solution techniques in specific case studies, building on generic skills covered in previouscourses such as MATH3009.Learning Outcomes
A student who completes this course successfully should be able to:
- L1- develop mathematical models capturing key phenomena relevant to specific biomedical topics;
- L2 - apply a range of advanced approximation and solution techniques, and interpret solutions in terms of the original biomedical application;
- L3 - develop and solve models treating specified advanced topics (e.g. transdermal drug delivery, nutrient delivery to tissue, muscle mechanics).
- L4 - reason logically, work analytically and justify conclusions using mathematical arguments with appropriate rigour;
- L5 - select and apply complex concepts, appropriate methods and techniques to both familiar and novel situations;
- L6 - work effectively, independently, and in groups, to solve specific problems in biomedical mathematics.
Conveners
Last updated 07/01/2025.