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CATEGORIES:CCIMI Seminars
SUMMARY:Applications of numerical algebraic geometry - Hea
ther Harrington Oxford
DTSTART;TZID=Europe/London:20170210T150000
DTEND;TZID=Europe/London:20170210T160000
UID:TALK69668AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/69668
DESCRIPTION:Many models can be written as systems of polynomia
l equations. For time-dependent ODE models\, such
as those in biological signalling pathways or cell
-cell interactions\, it is desirable to compute th
e steady-states. Sometimes the systems are too lar
ge to solve by hand\, which motivates the use of t
echniques from computational algebraic geometry. R
ather than starting from an initial guess using Ne
wton's method\, one can numerically approximate al
l the isolated steady-states using numerical algeb
raic geometry. I will present three different case
studies that extend numerical algebraic geometry
methods to study different problems arising in bi
ology. Specifically\, I will focus first on compar
ing models with steady-state data\, then computing
regions of the parameter space that give differen
t numbers of stable real steady-states\, and\, ti
me permitting\, developing an algorithm for sampli
ng points on a real algebraic variety (such as th
ose arising in configuration spaces of molecules)
to run topological data analysis.\n\n
LOCATION:MR5 Centre for Mathematical Sciences
CONTACT:Rachel Furner
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