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General


This course is part of the MAGIC core.

Description

Mathematics can be usefully applied to a wide range of applications in biology and medicine. Without assuming any prior biological knowledge, this module describes how mathematics can help us understand topics such as population dynamics, biochemical reaction kinetics, neuroscience and cancer. There is considerable emphasis on model building and development, use of ordinary and partial differential equations, and use of tools from dynamical systems.
In addition, some lectures will be used to inform students about the activities of the five EPSRC Centres for Mathematics in Healthcare, thereby exposing them to a range of cutting-edge applications and approaches.

Semester

Spring 2017 (Monday, January 23 to Friday, March 31)

Timetable

  • Mon 13:05 - 13:55
  • Wed 13:05 - 13:55

Prerequisites

Some familiarity with systems of ordinary differential equations (ODEs), steady states and stability, phase plane analysis for systems of two ODEs.

Syllabus

The syllabus will be broken down into blocks as follows (details to be confirmed):
1. Mon 23 Jan: Intro, population growth
2. Wed 26 Jan: Population growth
3. Mon 30 Jan: Population growth
 
4. Wed 1 Feb: Biochemical kinetics
5. Mon 6 Feb: Biochemical kinetics
6. Wed 8 Feb: Biochemical kinetics
 
7. Mon 13 Feb: models for ion-channel dynamics
8. Wed 15 Feb: models for ion-channel dynamics
9. Mon 20 Feb: models for ion-channel dynamics
 
10. Wed 22 Feb: Neuron models, Hodgkin-Huxley
11. Mon 27 Feb: Neuron models, Hodgkin-Huxley
12. Wed 1 Mar: Neuron models, Hodgkin-Huxley
 
13. Mon 6 March: Cancer and tissue growth
14. Wed 8 March: Cancer and tissue growth
 
15. Mon 13 March: John Aston, Carola Schoenlieb: EPSRC Centre for Mathematical and Statistical Analysis of Multimodal Clinical Imaging, University of Cambridge.
16. Wed 15 March: LCMH: Liverpool Centre for Mathematics in Healthcare
17. Mon 20 March: Presentations from one of the five EPSRC Centres for Mathematics in Healthcare.
18. Wed 22 March: Marc Goodfellow: EPSRC Centre for Predictive Modelling in Healthcare, University of Exeter.
19. Mon 27 March: Nick Hill (Glasgow): SofTMech - EPSRC Centre for Multiscale Soft Tissue Mechanics
 
20. Wed 29 March: Cancer and tissue growth, summary

Lecturers


Markus Owen (main contact)
Email Markus.Owen@nottingham.ac.uk
Phone
vcard
Photo of Markus Owen
Stephen Coombes
Email Stephen.Coombes@nottingham.ac.uk
Phone 0115 8467836
vcard
Reuben O'Dea
Email reuben.o'dea@nottingham.ac.uk
Phone 0115 8466167
vcard
Ruediger Thul
Email ruediger.thul@nottingham.ac.uk
Phone 0115 8467913
vcard
Jonathan Wattis
Email jonathan.wattis@nottingham.ac.uk
Phone 0115 9513857
vcard


Students


Photo of Edward Acheampong
Edward Acheampong
(Nottingham)
Photo of Kevin Bolton
Kevin Bolton
(Exeter)
Photo of Jonathan Brooks
Jonathan Brooks
(Loughborough)
Photo of Martina Cracco
Martina Cracco
(Cardiff)
Photo of Sara Frecentese
Sara Frecentese
(Liverpool)
Photo of James Haughton
James Haughton
(Manchester)
Photo of Fiona Houlgreave
Fiona Houlgreave
(Loughborough)
Photo of Ewan Johnstone
Ewan Johnstone
(Liverpool)
Photo of Hayley Moore
Hayley Moore
(Newcastle)
Photo of Jordan Moore
Jordan Moore
(Exeter)
Photo of Marianthi Moschou
Marianthi Moschou
(Manchester)
Photo of Michael Roberts
Michael Roberts
(Liverpool)
Photo of Aleksandra Ross
Aleksandra Ross
(Sussex)
Photo of Fabio Strazzeri
Fabio Strazzeri
(Southampton)
Photo of Alison Telford
Alison Telford
(Leeds)
Photo of James Van Yperen
James Van Yperen
(Sussex)
Photo of Adam Yorkston
Adam Yorkston
(East Anglia)


Bibliography


Mathematical Biology: I. An IntroductionMurray
Mathematical Biology II: Spatial Models and Biomedical ApplicationsMurray


Note:

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Assessment



Assessment will be by a take-home exam paper in April 2016. You will have 2 weeks to complete the exam and submit your solutions online. There will be 5 questions, and full marks (out of 100) can be obtained if you submit correct solutions to 4 of them.

MAGIC091 Mathematical Biology exam

Files:Exam paper
Released: Monday 24 April 2017 (63.4 days ago)
Deadline: Sunday 7 May 2017 (49.4 days ago)


Recorded Lectures


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