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SUMMARY:Mathematical Physics Seminar (Nov 22nd) – Prof Mehran Kardar (MIT
) – Competition at the front of expanding populations
DESCRIPTION:Mathematical Physics Seminar (Nov 22nd) – Prof Mehran Kardar
(MIT) – Competition at the front of expanding populations\n\nAbstract: W
hen competing species grow into new territory\, the population is dominate
d by descendants of successful ancestors at the expansion front. Successfu
l ancestry depends on the reproductive advantage (fitness)\, as well as ab
ility and opportunity to colonize new domains. (1) Based on symmetry consi
derations\, we present a model that integrates both elements by couplin
g the classic description of one-dimensional competition (Fisher equation)
to the minimal model of front shape (KPZ equation). Macroscopic manifest
ations of these equations on growth morphology are explored\, providing a
framework to study spatial competition\, fixation\, and differentiation\,
In particular\, we find that ability to expand in space may overcome repro
ductive advantage in colonizing new territory. (2) Variations of fitness\,
as well as fixation time upon differentiation\, are shown to belong to di
stinct universality classes depending on limits to gain of fitness.\n\nNot
e: this seminar will be happening in-person only.\n\nLocation: Huxley 144\
, 3-4pm.
URL:https://www.imperial.ac.uk/events/169032/mathematical-physics-seminar-n
ov-22nd-prof-mehran-kardar-mit/
DTSTART;TZID=Europe/London:20231122T150000
DTEND;TZID=Europe/London:20231122T160000
LOCATION:Huxley 144\, Huxley Building\, South Kensington Campus\, Imperial
College London\, London\, SW7 2AZ\, United Kingdom
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