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SUMMARY:Diffusion of finite-size particles and application to heterogeneou
 s domains - Maria Bruna ()
DTSTART:20160620T104500Z
DTEND:20160620T113000Z
UID:TALK66508@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span> <span>Co-author: Jonathan Chapman (University of Oxford
 )  <br></span></span><span><br>We discuss nonlinear Fokker-Planck models d
 escribing diffusion processes with particle interactions. These models are
  motivated by the study of many particle systems in biology\, and arise as
  the population-level description of a stochastic particle-based model. In
  particular\, we consider a system of impenetrable diffusing spheres and u
 se the method of matched asymptotic expansions to obtain a systematic mode
 l reduction. In the second part of the talk\, we discuss how this method c
 an be used to derive an effective transport equation in heterogeneous doma
 ins\, such as porous media or crowded environments. A nice feature of this
  approach is that it can easily account for macroscopic gradients in poros
 ity or crowding.<br></span>
LOCATION:Seminar Room 1\, Newton Institute
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