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# PA - C8 - MEC658B : Mathematical Modeling of Biological Systems

## Descriptif

Mathematical models are increasingly used to investigate the behaviour of biological systems, at the core of a highly interdisciplinary topic connecting mathematical and physical sciences with biology and bioengineering.

The course will introduce key deterministic and stochastic mathematical approaches used at different biological scales or levels, including regulation of gene expression, cellular biology, organ function, organism physiology, or population dynamics. For each topic, the lecture will start from the biological background, build the model, present analytical and/or numerical methods to solve the model, and discuss model behaviour.

## Objectifs pédagogiques

After the course, the student should know

- how to build a simple mathematical model to describe a biological system,

- the main classes of models used in mathematical biology,

- the main properties of their solutions,

- how to solve numerically these models,

- and how to compare the solutions with experimental data.

## Pour les étudiants du diplôme M2 Biomechanics

The student should have an advanced knowledge in series, calculus (including functions of many variables), linear algebra (including eigenvalue problems), and differential equations. The student should have been introduced to programming and to the basics of Python.

Numérique sur 20

## Pour les étudiants du diplôme M2 Biomeca - Biomechanics

Le rattrapage est autorisé (Note de rattrapage conservée)
L'UE est acquise si note finale transposée >= C
• Crédits ECTS acquis : 3 ECTS

## Pour les étudiants du diplôme M1 - Mechanics

Le rattrapage est autorisé (Note de rattrapage conservée)
L'UE est acquise si note finale transposée >= C
• Crédits ECTS acquis : 3 ECTS

## Pour les étudiants du diplôme M1 Biomechanics

Le rattrapage est autorisé (Note de rattrapage conservée)
L'UE est acquise si note finale transposée >= C
• Crédits ECTS acquis : 3 ECTS

## Pour les étudiants du diplôme M2 Biomechanics

### Vos modalités d'acquisition :

- Article presentation (1/3)
- Written exam (2/3).

Le rattrapage est autorisé (Note de rattrapage conservée)
L'UE est acquise si note finale transposée >= C
• Crédits ECTS acquis : 3 ECTS