100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

András Tóbiás

Clonal interference and interacting Poissonian trajectories
Tuesday, 31 January, 2023 - 14:00 to 15:00
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'orateur : 
Budapest University of Technology and Economic
Thème de recherche : 
Probabilités
Salle : 
4
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