Coursebooks 2017-2018

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Mathematical physiology

MATH-475

Lecturer(s) :

Lessinnes Thomas Olivier D.

Language:

English

Summary

The aim of the course is two fold: to bring students within reach of current research topics in physiology and to showcase methods allowing to analyse non-linear systems of differential equations.

Content

The course will derive and analyse models for 

- enzyme kinematics 

- trans-membrane ion transport

- wave propagation in neurones 

- calcium dynamics

- the electrochemical action of the heart

- the heart as a pump

- respiration

- blood cell production

Keywords

Physiology; Non-linear dynamics

 

Learning Prerequisites

Required courses

Analysis

Learning Outcomes

Assessment methods

Oral exam

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Office hours Yes
Assistants Yes
Forum No

Resources

Bibliography

[1] J. Keener and J. Sneyd, Mathematical Physiology (Springer-Verlag, 1998). First edition or Second edition Vol I: Chs. 2, 7. Vol II: Chs. 11, 13, 14. (Springer-Verlag, 2009)]

[2] J. D. Murray, Mathematical Biology (Springer-Verlag, 2nd ed., 1993). [Third edition, Vols I and II, (Springer-Verlag, 2003).]

[3] L. Glass and M. C. Mackey, From Clocks to Chaos (Princeton University Press, 1988).

[4] P. Grindrod, Patterns and Waves (OUP, 1991).

 

 

Notes/Handbook

Will be provided as the year progresses.

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14   MA B1 11 
14-15    
15-16   MA B1 11 
16-17    
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German