Sorbonne Université

Master de Sciences & Technologies

M2 Mathématiques & Applications (Sorbonne Université)

Modeling of growth and regeneration processes in multi-cellular tissues involving agent-based models

D. Drasdo
INRIA Paris-Rocquencourt, EPI Bang

Support de cours :

Sujets d'examens :

Prérequis :

It is useful (but not compulsory) to have basic knowledge in stochastic processes and to be able to code small problems in C, C++, or mathlab.

Objectifs de l'UE :

Systems biology has become a rapidly growing field in which theoreticians (mathematicians, computer scientists, engineers, physicists) collaborative closely with experimental partners on biological questions. Currently, systems medicine is emerging addressing in the same way clinical applications. Both, systems biology and medicine address increasingly the multi-cellular scale of cell populations, tissues or whole organs, expressing cellular decisions during tissue organization processes in terms of molecular reactions, signaling, or cell metabolism. In this lecture, we give an overview of current agent-based models in which each cell is represented individually. Such models are particularly suited to include intracellular reactions within each individual cell. We discuss mathematical background and the computational algorithms of the models at each scale, and give application examples from biology and medicine. Moreover, we briefly discuss the interface of agent-based models with continuum descriptions, and image analysis chains to quantify image information on spatial-temporal processes in living matter, and give a multiscale example spanning molecular, cell, tissue, organ, and body scale.

Thèmes abordés :

Stochastic processes (basics), modeling of chemical reactions, equations of motion, biomechanics (basics), compartment models, growth of tumor / non-tumor cell populations, organ modeling, image analysis (basics)