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SUMMARY:Quasi-steady-state approximations in the stochastic models of enzy
me kinetics
DTSTART;VALUE=DATE-TIME:20180711T013000Z
DTEND;VALUE=DATE-TIME:20180711T020000Z
DTSTAMP;VALUE=DATE-TIME:20241107T233521Z
UID:indico-contribution-18@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Hye-Won Kang (University of Maryland\, Baltimore Cou
nty)\nIn this talk I will introduce several quasi steady-state approximati
ons (QSSAs) applied to the stochastic enzyme kinetics models. Different as
sumptions about chemical species abundance and reaction rates lead to the
standard QSSA (sQSSA)\, the total QSSA (tQSSA)\, and the reverse QSSA (rQS
SA) approximations. These three QSSAs have been widely studied in the lite
rature in deterministic ordinary differential equation (ODE) settings and
several sets of conditions for their validity have been proposed. By using
multiscaling techniques for stochastic chemical reaction networks\, these
conditions for deterministic QSSAs largely agree with the ones for QSSAs
in the large volume limits of the underlying stochastic enzyme kinetic net
works. I will illustrate how our approach extends to more complex stochast
ic networks like\, for instance\, the enzyme-substrate-inhibitor system. T
his is joint work with Wasiur Khuda Bukhsh\, Heinz Koeppl\, and Grzegorz R
empaĆa.\n\nhttps://conferences.maths.unsw.edu.au/event/2/contributions/18
/
LOCATION:University of Sydney New Law School/--026
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/18/
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