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UID:20260515T023443EDT-0244ZVJeoc@132.216.98.100
DTSTAMP:20260515T063443Z
DESCRIPTION:Title: Pulses\, waves\, and mesas in dissipative mass-conserved
  reaction-diffusion systems and their implications to cell motility\n\nAbs
 tract: The transition from random walk to directional motion (and back) is
  one of the intriguing phenomena observed in motile eukaryotic cells. Howe
 ver\, typical theoretical studies distinguish between the two phenomena an
 d focus either on dissipative models or models obeying gradient flows\, re
 spectively. Using a three-variable dissipative reaction-diffusion system w
 ith mass conservation\, we show how pulses\, waves\, and (stationary) mesa
 s generically organize about high codimension bifurcations. Specifically\,
  we demonstrate the novelty of mass conservation\, which enters via a long
 -wavenumber bifurcation of a large-scale mode. Following the biological in
 terest\, we address the bistability between travelling wave and mesa solut
 ion branches\, which emerge from a codimension-2 bifurcation to a finite w
 avenumber Hopf and a conserved large-scale mode. Lastly\, through simulati
 ons of the reaction-diffusion system coupled to a model of cell deformatio
 ns\, we show how these solution types affect cell motility.\n
DTSTART:20260112T210000Z
DTEND:20260112T220000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Jack Hughes (Concordia)
URL:https://www.mcgill.ca/mathstat/channels/event/jack-hughes-concordia-370
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