Section: Contracts and Grants with Industry
ANR MAEV: Modélisation Aléatoire et Évolution du Vivant (stochastic modelling of the evolution of living systems)
Participant : Nicolas Champagnat.
The general goal of this research project is the development and the analysis of new stochastic models of evolution, which take into account the interactions and the diversity of scales in evolution. The partners (probabilists and evolutionary biologists mainly in Paris, Marseille and Grenoble) are exploring four research directions:
Evolution at the molecular scale: new models of the evolution of genes taking into account the interactions between sites and the main factors of global changes in the genome (genes duplication, transfer,...).
Adaptive evolution: macroscopic models of adaptive evolution that are deduced from the microscopic, individual scale and from genes to the organism.
Shape of random trees: random tree models for molecular evolution or for species evolution, and the mathematical tools to compare them in order to analyse the evolutionary relations between populations or species.
Coalescence: coalescent processes coding for the evolution of a group of genotypes inside a large population, allowing one to study the polymorphism when dependence between individuals and various scales are taken into account.
A strong interest is brought to algorithmic implementations, numerical analysis and applications to data processing.
The works of N. Champagnat on evolutionary branching, on processes conditioned on non-extinction and on the canonical diffusion of adaptive dynamics belong to this project.