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SUMMARY:Lea Popovic (Concordia University)
DTSTART:20251204T163000Z
DTEND:20251204T170000Z
DTSTAMP:20260421T124627Z
UID:MoRN/134
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/134/">S
 ensitivity of dynamics in Autocatalytic Reaction Networks of Togashi-Kanek
 o type</a>\nby Lea Popovic (Concordia University) as part of Seminar on th
 e Mathematics of Reaction Networks\n\n\nAbstract\nThe Togashi–Kaneko (TK
 ) model is a prototypical example of an auto- catalytic reaction network e
 xhibiting dramatic switching behavior that is a result of the stochastic d
 ynamics at small volumes. I will present a study of the TK model with addi
 tional mutations\, using a stochastic averaging principle to make use of t
 he multi-scale feature of its dynamics. I will demonstrate a sensitivity o
 f the model to even slight departures from symmetry in the autocatalytic r
 eactions\, using a detailed analysis of the stationary distribution of the
  fast process when the state of the slow process is fixed. This is joint w
 ork with Yi Fu\, HyeWon Kang\, Wasiur Khudabukhsh\, Greg Rempala and Ruth 
 Williams.\n
LOCATION:https://researchseminars.org/talk/MoRN/134/
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