BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.bham.ac.uk//v3//EN
BEGIN:VEVENT
CATEGORIES:Applied Mathematics Seminar Series
SUMMARY:A coupled bulk-surface model for cell polarisation
- Anotida Madzvamuse\, University of Sussex
DTSTART:20200213T120000Z
DTEND:20200213T130000Z
UID:TALK4007AT
URL:/talk/index/4007
DESCRIPTION:In this talk we will present a model describing th
e GTPase cycle between its active membrane-bound a
nd inactive cytosolic form. Rho GTPases are key pl
ayers in cell polarisation\, which is required in
several cellular activities\, such as migration. T
he intricate reactions network of such proteins ca
n lead to very complex mathematical models that ar
e hard to analyse. Here\, we present a simple basi
c interaction model of the same Rho GTPase protein
in three-dimensional geometries\, taking into acc
ount the different spatial compartmentalisation th
rough the maturing theory of coupled bulk-surface
semilinear parabolic equations. \n\nIn this work t
he bulk-surface model is a substantial extension o
f the wave pinning model first proposed by Mori et
al (2008\, Biophys J.). To understand the theoret
ical behavior of the model\, we carry out detailed
asymptotic and local perturbation analysis\, whic
h helps to find parameter regions in which polaris
ation occurs. The geometry effects are naturally t
aken into account and with the emergent property t
hat polarisation regions become bigger when a cell
increases its surface. This last result is partic
ularly meaningful since surface increase typical o
ccurs during cell migration. To provide validatio
n and confirmation of the theoretical results\, we
proposed and implemented a corresponding bulk-sur
face finite element method which we use to solve t
he system of coupled bulk-surface reaction-diffusi
on equations. Simulation results are shown over si
mple and more complex three-dimensional geometries
and the pattern generation mechanism is in line w
ith theoretical predictions.\n
LOCATION:Biosciences 301
CONTACT:Fabian Spill
END:VEVENT
END:VCALENDAR