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SUMMARY:Effects of different discretisations of the Laplacian in stochasti
 c simulations
DTSTART;VALUE=DATE-TIME:20180709T094500Z
DTEND;VALUE=DATE-TIME:20180709T100000Z
DTSTAMP;VALUE=DATE-TIME:20210228T011444Z
UID:indico-contribution-457@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Bartosz Bartmanski (University of Oxford)\nA determi
 nistic model of biochemical reaction networks is not always appropriate. G
 ene expression\, for example\, often involves a small number of molecules 
 which means that noise can significantly influence the dynamics. By discre
 tising space into voxels and letting the molecule dynamics be governed by 
 the reaction-diffusion master equation\, it is possible to model the react
 ion and diffusion of individual molecules on an arbitrary domain. Followin
 g on from the work of Meinecke and Lötstedt we apply a variety of numeric
 al methods to the Laplacian operator in order to derive the jump rates tha
 t simulate the diffusion of molecules. We discuss how pattern formation wi
 thin a Turing model might be influenced by the geometry of the spatial dis
 cretisation and the numerical method.\n\nhttps://conferences.maths.unsw.ed
 u.au/event/2/contributions/457/
LOCATION:University of Sydney Holme Building/--The Refectory
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/457/
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