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SUMMARY:Dynamic Density Functional Theory: A Tool for Mathematical Biology
 ? - Benjamin Goddard\, University of Edinburgh
DTSTART:20240314T130000Z
DTEND:20240314T140000Z
UID:TALK211084@talks.cam.ac.uk
CONTACT:Marco Vona
DESCRIPTION:In this talk I'll introduce a rather general approach\, motiva
 ted by statistical mechanics\, to describe interacting `particles' on the 
 PDE level - Dynamic Density Functional Theory (DDFT).  DDFT is primarily u
 sed in physics and engineering\, but there is a recent push to extend its 
 range of application to biology and social science.  I'll first motivate t
 he viewpoint that (at least) some biological systems can be modelling as i
 nteracting particles\, and describe why we would generally like to do this
  using techniques from statistical mechanics.  I'll then explain how a rel
 atively simple version of (inertial) DDFT can be derived from the underlyi
 ng Langevin equations for interacting particle dynamics\, including highli
 ghting the key assumptions.  After outlining some extensions/modifications
  of this simple DDFT\, I'll briefly describe a robust\, efficient\, and ac
 curate numerical method for their solution.  Finally\, I'll present some a
 pplications\, including oscillatory flow\, droplet evaporation\, sedimenta
 tion of yeast in the brewing industry\, and control of infection through s
 ocial distancing.
LOCATION:MR15\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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