SMS scnews item created by Zhou Zhang at Wed 12 Oct 2011 1423
Type: Seminar
Distribution: World
Expiry: 3 Nov 2011
Calendar1: 28 Oct 2011 1400-1500
CalLoc1: RC-4082, UNSW
Auth: zhangou@bari.maths.usyd.edu.au

# Joint Colloquium: Kim -- Bridging Agent-Based Models and PDEs: a Model of Cell Differentiation

Speaker: Dr. Peter Kim (Sydney). Link:

http://www.maths.usyd.edu.au/u/pkim/

Time: Friday, Oct. 28, 2--3PM, 2011

Room: RC-4082, East Wing of the Red Centre
Building, UNSW

Lunch: meet around 12:30 for lunch by the
fig tree outside East Wing of the Red
Centre Building

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Title: Bridging Agent-Based Models and PDEs:
a Model of Cell Differentiation

Abstract: different modelling frameworks have been
applied to cell differentiation, including partial
differential equations (PDEs) and agent-based models
(ABMs). ABMs simulate individual cell behaviour,
while PDEs model spatial dynamics at a population
level.  Also, ABMs directly capture randomness and
variability, but PDEs are faster to evaluate numerically
and more conducive to mathematical analysis. Because
of the advantages of each modeling strategy, it is
valuable to form bridges between them.

To begin building this connection, we present an
ABM of blood cell differentiation proposed by Roeder
et al. (Nat Med 2006) and formulate a PDE model that
reproduces the behavior of the ABM.  We then show how
to obtain the PDE model by translating the ABM to a
system of difference equations that suggests a
numerical scheme for a PDE system.  We discuss how
this approach of introducing an intermediate system
of difference equations could provide a method for
constructing analogous PDE systems from other ABMs.

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One choice of commuting from Sydney: meet at Carslaw
620 around 12 and we share taxi to UNSW. The round
trip is covered by department colloquium fund.


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