Linglong Yuan -- Individual-based and continuum modelling of Lenski experiment.
Dates: | 27 October 2021 |
Times: | 13:00 - 14:00 |
What is it: | Seminar |
Organiser: | Department of Mathematics |
Who is it for: | University staff, External researchers, Current University students |
Speaker: | Linglong Yuan |
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(via Zoom)
Join us for this seminar by Linglang Yuan (Liverpool) as part of the North West Seminar Series in Mathematical Biology and Data Sciences. Details of the full series can be found here https://www.cms.livjm.ac.uk/APMSeminar/
Please contact carl.whitfield@manchester.ac.uk or bnvasiev@liverpool.ac.uk for the zoom link, or sign up to the mailing list.
Abstract: The Lenski experiment is a corner stone in Experimental Evolution, and has been running since 1988. It investigates the long-term evolution of bacterium E. coli. I will talk about the individual-based and continuum mathematical modelling of the bacteria population to describe how the population fitness evolve over time. The talk will be mainly based on the following works:
1. (with A. Gonzalez-Casanova, N. Kurt, A. Wakolbinger) An individual-based model for the Lenski experiment, and the deceleration of the relative fitness. Stochastic Processes and Their Applications. 126(8), 2211-2252, 2016.
2. A generalization of Kingman's model of selection and mutation and the Lenski experiment. Mathematical Biosciences. 285, 61-67?, 2017.
3. Kingman's model with random mutation probabilities: convergence and condensation I. Journal of Statistical Physics. 181(3), 870–896, 2020.
4. Kingman's model with random mutation probabilities: convergence and condensation II. To appear in Advances in Applied Probability. March 2022.
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Speaker
Linglong Yuan
Role: Lecturer
Organisation: University of Liverpool
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