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Startseite > Seminars > Séminaires théorie > Theory Club Wednesday April 29 2020 (Zoom). Ariel Amir: "A large deviation principle linking lineage statistics to -fitness in microbial populations".

Theory Club Wednesday April 29 2020 (Zoom). Ariel Amir: "A large deviation principle linking lineage statistics to -fitness in microbial populations"

Unless otherwise stated, seminars and defences take place at 11:30 in room 454A of Condorcet building.

A large deviation principle linking lineage statistics to -fitness in microbial populations

Ariel Amir

Abstract: In exponentially proliferating populations of microbes, the population doubles at a rate less than the average doubling time of a single-cell due to variability at the single-cell level. It is known that the distribution of generation times obtained from a single lineage is, in general, insufficient to determine a population’s growth rate. Is there an explicit relationship between observables obtained from a single lineage and the population growth rate? We show that a population’s growth rate can be represented in terms of averages over isolated lineages. This lineage representation is related to a large deviation principle that is a generic feature of exponentially proliferating populations. Due to the large deviation structure of growing populations, the number of lineages needed to obtain an accurate estimate of the growth rate depends exponentially on the duration of the lineages, leading to a non-monotonic convergence of the estimate, which we verify in both synthetic and experimental data sets.

Contact : Équipe séminaires / Seminar team - Published on / Publié le 12 December 2020

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