Theoretical Statistics and Mathematics Division
Indian Statistical Institute, Kolkata.
203 Barrackpore Trunk Road, Kolkata 700108, IndiaAshok Maitra Memorial Lectures 2021-22
Prof. Alison Etheridge
University of Oxford, U.K.https://www.stats.ox.ac.uk/all-people/alison-etheridge/
https://www.youtube.com/playlist?list=PL1eY4X87dSYFea4TvtPkJr1L9wFV1NdDX
Some mathematical models of evolution
Slides of March 14 talk.
Videos of Lecture 1 and
Lecture 2
Slides of March 16 talk.
Videos of Lecture 3 and
Lecture 4
- Date: March 14th, 2022
- Lecture 1
- Time: 14.30 - 15.15, IST
- Lecture 2
- Time: 15.30 - 16.15, IST
Spatial population models
Abstract: Mathematical models provide an invaluable tool for understanding how different forces of evolution interact for different parameter regimes and timescales. In these lectures, we introduce a range of classical, and not so classical, models that can be used to capture the interplay between the randomness due to reproduction in a finite population (known as genetic drift) and the spatial structure of that population. We shall then introduce a very simple form of selection into our models, in which an individual's relative fitness is determined by which of two possible genetic types it carries at a particular locus, and investigate the way in which spatial structure influences the effectiveness of natural selection.
- Lecture 1
- Date: March 16th, 2022
- Lecture 3
- Time: 14.30 - 15.15, IST
- Lecture 4
- Time: 15.30 - 16.15, IST
Modelling hybrid zones: travelling waves in the Allen-Cahn equation (and how to stop them)
Abstract: Natural selection can take many forms. In this lecture we continue to restrict our attention to a single genetic locus, but now each individual carries two copies of a gene that has two possible forms. Individuals that carry different genetic types are disadvantaged relative to those that carry two copied of the same type. This leads us to investigate so-called `hybrid zones' using a special form of the (stochastic) Allen-Cahn equation. In earlier work we modelled populations that are distributed across the whole of Euclidean space; here we investigate the interplay between the motion of the hybrid zone and the shape of the habitat, in particular asking what happens if the population passes through an isthmus.
- Lecture 3
Zoom Meeting
https://us02web.zoom.us/j/87231987829?pwd=d0gzZmpGZzY1enBnNkRwaDlPQlRwdz09
Meeting ID: 872 3198 7829
Passcode: evolution
About Ashok Prasad Maitra
Last modified : March 16th, 2022