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SUMMARY:Stochastic coagulation-fragmentation models for the study of prote
 in aggregation phenomena - Romain Yvinec (Université François-Rabelais T
 ours\; INRA - Institut National de la Recherche Agronomique)
DTSTART:20160316T150000Z
DTEND:20160316T160000Z
UID:TALK64976@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:This work is motivated by protein aggregation phenomena  &nbsp
 \; in neurodegenerative&nbsp\; diseases. A key observation of \\textit{in-
 vitro}  &nbsp\; polymerization experiments of prion protein is the large v
 ariability  &nbsp\; of the so-called &#39\;nucleation time&#39\;\,&nbsp\; 
 which is experimentally defined  &nbsp\; as the lag time before the polyme
 rization of proteins trully starts.  &nbsp\;  &nbsp\; In this context\, we
  study a stochastic version of a well-known  &nbsp\; nucleation model in p
 hysics\, namely the Becker-D\\"oring model.  &nbsp\; In this model\, aggre
 gates may increase or decrease their size  &nbsp\; one-by-one\, by capturi
 ng or shedding a single particle. I will  &nbsp\; present numerical and an
 alytical investigation of the  &nbsp\; nucleation time as a first passage 
 time problem.  &nbsp\;  I also will present limit theorem techniques to st
 udy the link  &nbsp\; from the discrete size Becker-D\\"oring model to a c
 ontinuous  size version (the Lifshitz-Slyozov model) and (numerically  obs
 erved) large deviations from the mean-field limit.  &nbsp\; Finally\, I wi
 ll present state-of-the art studies of more  &nbsp\; general stochastic co
 agulation-fragmentation models.
LOCATION:Seminar Room 2\, Newton Institute
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