MA32058: Mathematical biology: biomedical applications
[Page last updated: 22 May 2025]
| Academic Year: | 2025/26 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 5 [equivalent to 10 CATS credits] |
| Notional Study Hours: | 100 |
| Level: | Honours (FHEQ level 6) |
| Period: |
- Semester 2
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| Assessment Summary: | EXOB 100% |
| Assessment Detail: |
- Open-book written examination (EXOB 100%)
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| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must take MA22016 OR take MA22034 OR take MA20223 OR take XX20231
Before taking this module you are advised to take MA22035 AND take MA22021
In taking this module you cannot take MA30063
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| Learning Outcomes: |
* Derive and interpret mathematical models of biological systems using PDEs.
* Discuss and apply mathematical methods to analyse PDE models of biological systems.
* Give a qualitative and quantitative of the behaviour of PDE models for biological systems.
* Interpret the mathematical analysis in terms of the original biological context.
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| Synopsis: | In this unit you will explore the use of partial differential equations to model and understand biological systems. You will study how to formulate, analyse and interpret appropriate mathematical models to examine biomedical processes and phenomena. This unit will give you the chance to extend your knowledge of mathematical modelling, develop your understanding of theoretical biology, and encounter a broader range of biological applications.
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| Content: | Biological motion: derivation of conservation equation (macroscopic approach); derivation of diffusion-advection equation (microscopic approach); components of flux (diffusion, advection, chemotaxis); solution of advection equation by characteristics; solutions of diffusion equation using the fundamental solution; steady state distributions; transit times. Spatial pattern formation: critical domain size; scale and geometry effects; Turing mechanisms; dispersion relation and Turing space. Tumour Growth - formation of necrotic core; tumour size. Computational approaches.
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| Course availability: |
MA32058 is Optional on the following courses:
Department of Chemistry
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biochemistry with Chemistry) (Year 3)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biochemistry with Environmental Science) (Year 3)
- USSC-AAB01 : BSc(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Study year abroad (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Year long work placement (Year 4)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biology with Chemistry) (Year 3)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Biology with Environmental Science) (Year 3)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Biology with Environmental Science stream) with Year long work placement (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Biology with Pharmacology stream) with Year long work placement (Year 4)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Chemistry with Biochemistry stream) (Year 3)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Chemistry with Biology stream) (Year 3)
- USSC-AAB01 : BSc(Hons) Natural Sciences (Chemistry with Biology stream) with Study year abroad (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Chemistry with Biology stream) with Year long work placement (Year 4)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Chemistry with Environmental Science) (Year 3)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Chemistry with Environmental Science stream) with Year long work placement (Year 4)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Chemistry with Pharmacology) (Year 3)
- USSC-AAB01 : BSc(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Study year abroad (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Year long work placement (Year 4)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Environmental Science with Biochemistry) (Year 3)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Environmental Science with Biology) (Year 3)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Environmental Science with Chemistry) (Year 3)
- USSC-AAB01 : BSc(Hons) Natural Sciences (Pharmacology with Biochemistry stream) with Study year abroad (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Pharmacology with Biochemistry stream) with Year long work placement (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Pharmacology with Biology stream) with Year long work placement (Year 4)
- USSC-AFB10 : BSc(Hons) Natural Sciences (Pharmacology with Chemistry) (Year 3)
- USSC-AAB01 : BSc(Hons) Natural Sciences (Physics with Chemistry stream) with Study year abroad (Year 4)
- USSC-AKB01 : BSc(Hons) Natural Sciences (Physics with Chemistry stream) with Year long work placement (Year 4)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry) (Year 3)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Study year abroad (Year 4)
- USSC-AKM01 : MSci(Hons) Natural Sciences (Biochemistry with Chemistry stream) with Professional Placement (Year 4)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Study year abroad (Year 4)
- USSC-AKM01 : MSci(Hons) Natural Sciences (Biochemistry with Pharmacology stream) with Professional Placement (Year 4)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Biology with Chemistry) (Year 3)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Biology with Chemistry stream) with Study year abroad (Year 4)
- USSC-AKM01 : MSci(Hons) Natural Sciences (Biology with Chemistry stream) with Professional Placement (Year 4)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Biology with Pharmacology stream) with Study year abroad (Year 4)
- USSC-AKM01 : MSci(Hons) Natural Sciences (Biology with Pharmacology stream) with Professional Placement (Year 4)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Chemistry with Biochemistry) (Year 3)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Chemistry with Biochemistry stream) with Study year abroad (Year 4)
- USSC-AKM01 : MSci(Hons) Natural Sciences (Chemistry with Biochemistry stream) with Professional Placement (Year 4)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Chemistry with Biology) (Year 3)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Chemistry with Biology stream) with Study year abroad (Year 4)
- USSC-AFM10 : MSci(Hons) Natural Sciences (Chemistry with Pharmacology) (Year 3)
- USSC-AAM01 : MSci(Hons) Natural Sciences (Chemistry with Pharmacology stream) with Study year abroad (Year 4)
Department of Mathematical Sciences
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB30 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFB32 : BSc(Hons) Mathematics and Statistics (Year 3)
- USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
- USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
- USMA-AFB33 : BSc(Hons) Mathematics, Statistics and Data Science (Year 3)
- USMA-AAB20 : BSc(Hons) Mathematics, Statistics, and Data Science with Study year abroad (Year 4)
- USMA-AKB20 : BSc(Hons) Mathematics, Statistics, and Data Science with Industrial Placement (Year 4)
- USMA-AFM30 : MMath(Hons) Mathematics (Year 3)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
Department of Physics
- USPH-AFB26 : BSc(Hons) Mathematics and Physics (Year 3)
- USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 4)
- USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 4)
- USPH-AFM26 : MSci(Hons) Mathematics and Physics (Year 3)
- USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 4)
- USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 4)
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Notes: - This unit catalogue is applicable for the 2025/26 academic year only. Students continuing their studies into 2026/27 and beyond should not assume that this unit will be available in future years in the format displayed here for 2025/26.
- 好色tv and units are subject to change in accordance with normal University procedures.
- Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
- Find out more about these and other important University terms and conditions here.
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