Modelling of living organisms: applications

This introductory course will capitalize on the mathematical tools encountered throughout the bachelor's degree and particularly in the course of the Modeling of living organisms: theory (option of S4), in order to provide an overview of the different approaches and techniques for modeling living organisms. All the major families of mathematical models will be addressed: static (optimization problems, game theory) as well as dynamic (extensions of the systems seen in S4, introduction to stochastic processes). Examples of applications of these models will be diversified, covering many biological systems as well as different levels of organization (metabolic, epidemiological, meta-community models...). 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, numerical implementation/simulations on the other). Finally, it will be an opportunity for students to become familiar with the research themes involving modeling, developed in the Montpellier basin.

modelling of the living world: theory (S4)

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