Ellen Baake: Modelling and simulating Lenski’s long-term evolution experiment

  • Datum: 29.04.2019
  • Uhrzeit: 10:00 - 11:00
  • Vortragende(r): Ellen Baake von der Universtät Bielefeld
  • Mehr Informationen über die Vortragende finden Sie hier: https://www.techfak.uni-bielefeld.de/ags/bm/people/ellen.htm
  • Ort: MPI Plön
  • Raum: Hörsaal
  • Gastgeber: Julien Dutheil

Abstract (auf Englisch):

We revisit the model by Wiser, Ribeck, and Lenski (Science 342 (2013), 1364–1367), which describes how the mean fitness increases over time due to beneficial mutations in Lenski’s long-term evolution experiment. We develop the model further both conceptually and mathematically.
Conceptually, we describe the experiment with the help of a Cannings model with mutation and selection, where the latter includes diminishing returns epistasis. The analysis sheds light on the growth dynamics within every single day and reveals a runtime effect, that is, the shortening of the daily growth period with increasing fitness; and it allows to clarify the contribution of epistasis to the mean fitness curve. Mathematically, we explain rigorous results in terms of a law of large numbers (in the limit of infinite population size and for a certain asymptotic parameter regime), and present approximations based on heuristics and supported by simulations for finite populations.

This is joint work with Adrián González Casanova, Sebastian Probst, and Anton Wakolbinger.

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