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SUMMARY:Multistationarity in biochemical reaction networksâ€™ models
DTSTART;VALUE=DATE-TIME:20180711T063000Z
DTEND;VALUE=DATE-TIME:20180711T070000Z
DTSTAMP;VALUE=DATE-TIME:20241102T185427Z
UID:indico-contribution-11@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Maya Mincheva (Northern Illinois University)\nMultis
tationarity is defined as the existence of several positive equilibria of
an ordinary differential equations model. Multistationarity is a required
property of biological switches- reaction networks that govern important
cellular functions\, such as cell differentiation and cell death. This i
s the case\, because biological switches are modelled by differential equ
ations systems whose solutions can approach different stable equilibria de
pending on the initial conditions. Many differential equations models of r
eaction networks are known to be multistationary for particular parameter
values. However\, reaction networksâ€™ properties are robust in nature.
Thus\, for multistationarity to be robust\, a reaction network has to be m
ultistationary in some open region of parameter space. We will describe a
computational procedure for screening dissipative differential equations
models of reaction networks for the existence of multistationary regions
. For a model of the double phosphorylation cycle\, we have obtained simpl
e parametric inequalities that identify multistationary regions in paramet
er space. \n\nThis is a joint work with C. Conradi (HTW-Berlin)\, E. Feliu
and C. Wiuf (both from the University of Copenhagen).\n\nhttps://confere
nces.maths.unsw.edu.au/event/2/contributions/11/
LOCATION:University of Sydney New Law School/--101
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/11/
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