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Beyond clonal interference: scrutinizing the diversity of the stochastic  dynamics of three interacting clones

Banff International Research Station for Mathematical Innovation and Discovery

In large adapting clonal species, several beneficial mutations can co-occur, affecting the process of adaptation, and especially its rate. Several experimental and theoretical works showed that clonal interference can be an important factor limiting the rate of adaptation. However, models done so far do not embrace the diversity of observed dynamics in experiments, especially non-linear dynamics. We develop here a three-type stochastic birth and death model with explicit competitive interactions between clones and describe the complexity of the emerging dynamics of the population, supposing that two mutants enter a resident population in a single copy at different times. These clones can either get fixed, be lost or be maintained in polymorphism, depending on their competitive abilities. We show that frequency-dependent selection can give rise to unexpected dynamics: competitive interactions between clones can foster adaptation by increasing or decreasing both the fixation probability and time of beneficial mutations.

Mathematics; Partial differential equations; Probability theory and stochastic processes; Mathematical biology

video/mp4

Author affiliation: IRSTEA

2017-02-03

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/60505

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/