31/01/2023 à 14:00:00 - 31/01/2023 à 15:00:00
Titre du séminaire
Clonal interference and interacting Poissonian trajectories
Résumé
Clonal interference is the interaction of multiple beneficial mutations fighting for survival simultaneously in a monomorphic resident population. We consider a Moran model with mutation and selection and illustrate that clonal interference is observable in a specific scaling regime of time and parameters, where subpopulation sizes on a logarithmic scale approximate a system of interacting piecewise linear trajectories controlled by a Poisson point process. Further, we discuss the speed of adaptation under clonal interference and Gerrish-Lenski heuristics. The subject of this talk is ongoing joint work with Adrián González Casanova, Felix Hermann, Renato Soares dos Santos and Anton Wakolbinger.
Institution de l'oratrice/orateur
Budapest University of Technology and Economic
Thème de recherche
Probabilités
Salle
4