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SUMMARY:Competition at the front of expanding populations - Mehran Kardar 
 (Massachusetts Institute of Technology)
DTSTART:20230705T103000Z
DTEND:20230705T110000Z
UID:TALK201142@talks.cam.ac.uk
DESCRIPTION:When competing species grow into new territory\, the populatio
 n is dominated by descendants of successful ancestors at the expansion fro
 nt. Successful ancestry depends of the reproductive advantage (fitness)\, 
 as well as ability to colonize new domains. Based on symmetry consideratio
 ns\, we present a model that&nbsp\;&nbsp\;integrates both elements by coup
 ling the classic description of one-dimensional competition (Fisher equati
 on) to the minimal model of front shape (KPZ equation).&nbsp\;Macroscopic 
 manifestations of these equations on growth morphology are explored\, prov
 iding a framework to study spatial competition\, fixation\, and differenti
 ation\, In particular\, we find that ability to expand in space may overco
 me reproductive advantage in colonizing new territory.
LOCATION:Seminar Room 1\, Newton Institute
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