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SUMMARY:Four arguments against the reaction-diffusion master equation (and
  one in its favour). - Stephen Smith (University of Edinburgh)
DTSTART:20160531T140000Z
DTEND:20160531T150000Z
UID:TALK66307@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span><span>The reaction-diffusion master equation (RDME) is a
  well-established and popular lattice-based mathematical description of sp
 atial stochastic chemical systems. A well-known argument against the RDME 
 is that it gives absurd results in the limit of small lattice spacing: thi
 s fact has led researchers to develop modified RDMEs which avoid this prob
 lem. In this talk\, I will offer three further scenarios in which the RDME
  cannot be considered an accurate description of the underlying physical p
 rocess. I subsequently argue that there is only a tiny class of problems f
 or which the RDME is the most appropriate route to a solution. I will conc
 lude by offering a beautiful problem from this tiny class to which the RDM
 E provides a remarkable and counterintuitive solution.<br></span><span> <b
 r> </span></span>
LOCATION:Seminar Room 2\, Newton Institute
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