Modelling life: applications

This introductory course will capitalize on the mathematical tools encountered throughout the bachelor's degree, and particularly in the "Modeling the living world: theory" course (S4 option), to provide an overview of the different approaches and techniques for modeling the living world. All the major families of mathematical models will be covered: both static (optimization problems, game theory) and dynamic (extensions of the systems seen in S4, introduction to stochastic processes). Examples of applications of these models will be diversified, covering a wide range of biological systems as well as different levels of organization (metabolic, epidemiological, meta-community models, etc.). Particular attention will be paid to epistemological aspects (contributions of modeling to the construction of theories in life sciences) and practical aspects (identifiability, calibration and parametric sensitivity on the one hand, digital implementation/simulations on the other). Last but not least, it will provide an opportunity for students to familiarize themselves with research themes involving modeling, developed in the Montpellier area.

life modeling: theory (S4)

- Mobilize the concepts and tools of mathematics, physics, chemistry and computer science in the context of life science issues.
- Validate a model by comparing its predictions with experimental results, and assess its limits of validity.
- Manipulate fundamental mechanisms on a microscopic scale, model macroscopic phenomena, link macroscopic phenomena to microscopic processes.