An individual-based model for the Lenski experiment, and the deceleration of the relative fitness

Authored by Adrian Gonzalez Casanova, Noemi Kurt, Anton Wakolbinger, Linglong Yuan

Date Published: 2016

DOI: 10.1016/j.spa.2016.01.009

Sponsors: German Research Foundation (Deutsche Forschungsgemeinschaft, DFG)

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

The Lenski experiment investigates the long-term evolution of bacterial populations. In this paper we present an individual-based probabilistic model that captures essential features of the experimental design, and whose mechanism does not include epistasis in the continuous-time (intraday) part of the model, but leads to an epistatic effect in the discrete-time (interday) part. We prove that under some assumptions excluding clonal interference, the rescaled relative fitness process converges in the large population limit to a power law function, similar to the one obtained by Wiser et al. (2013), there attributed to effects of clonal interference and epistasis. (C) 2016 Elsevier B.V. All rights reserved.

Tags

Adaptation Dynamics probability selection Populations Escherichia-coli Experimental evolution Coalescent processes Large deviations Random-variables