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SUMMARY:Reactions\, Diffusion and Volume Exclusion in a Heterogeneous Syst
 em of Interacting Particles - Maria Bruna\, DAMTP
DTSTART:20191112T130000Z
DTEND:20191112T140000Z
UID:TALK130462@talks.cam.ac.uk
CONTACT:Professor Mike Cates
DESCRIPTION:\nCellular migration can be affected by short-range interactio
 ns between cells such as volume exclusion\, long-range forces such as chem
 otaxis\, or reactions such as phenotypic switching. In this talk I will di
 scuss how to incorporate these processes into a discrete or continuum mode
 lling frameworks. In particular\, we consider a system with two types of d
 iffusing hard spheres that can react (switch type) upon colliding. We use 
 the method of matched asymptotic expansions to obtain a systematic model r
 eduction\, consisting of a nonlinear reaction-diffusion system of equation
 s. Finally\, we demonstrate how this approach can be used to study the eff
 ects of excluded volume on cellular chemotaxis.
LOCATION:MR11\, CMS
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