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UID:0-1019@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20250415T110000
DTEND;TZID=Europe/Paris:20250415T120000
DTSTAMP:20250408T135758Z
URL:https://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lpt
 ms-alia-abbara-epfl/
SUMMARY:Séminaire du LPTMS : Alia Abbara (EPFL) - Grand amphi\, bâtiment 
 Pascal n° 530 - 15 Avr 25 11:00
DESCRIPTION:Stochastic graph models of evolution in populations\nAlia Abbar
 a (EPFL)\n&nbsp\;\nIn this talk\, we first give a broad introduction to th
 e field of population genetics\, that was introduced by probabilists (J.B.
 S. Haldane\, S. Wright\, R. Fisher) to model genetic variations between in
 dividuals. We focus on the problem of a single mutant individual that has 
 a fitness advantage with respect to all of the other identical individuals
 \, that we call the wild-types. Our goal is to characterize the spread of 
 the mutant type within evolutionary trajectories. We briefly present a few
  fundamental models (Moran and Wright-Fisher) that rely on Markovian updat
 es of the state of the population and their analytical description within 
 a diffusion approximation. We then present the problem of structured popul
 ations\, and introduce a new graph-based model\, where subpopulations are 
 placed on the nodes of a given graph\, and stochastic migrations can happe
 n along the edges. We analyze this model with a branching process approxim
 ation\, and notably obtain the fixation probabilities of a single mutant\,
  i.e. how likely it is to take over the whole graph.
CATEGORIES:seminars
LOCATION:Grand amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
 ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
 \, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Grand amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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DTSTART:20250330T030000
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