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.
Diplôme(s) concerné(s)
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.
Format des notes
Numérique sur 20Littérale/grade réduitPour les étudiants du diplôme M2 Biomeca - Biomechanics
Le rattrapage est autorisé (Note de rattrapage conservée)- Crédits ECTS acquis : 3 ECTS
Pour les étudiants du diplôme M1 - Mechanics
Le rattrapage est autorisé (Note de rattrapage conservée)- Crédits ECTS acquis : 3 ECTS
Pour les étudiants du diplôme M1 Biomechanics
Le rattrapage est autorisé (Note de rattrapage conservée)- Crédits ECTS acquis : 3 ECTS
Pour les étudiants du diplôme M2 Biomechanics
Vos modalités d'acquisition :
- Article presentation (1/3)
- Written exam (2/3).
- Crédits ECTS acquis : 3 ECTS