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UID:DSC-2814
DTSTART;TZID=Europe/Berlin:20120516T170000
SEQUENCE:1336126988
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20120516T180000
URL:https://www.dresden-science-calendar.de/calendar/en/detail/2814
LOCATION:TUD Willers-Bau\, Zellescher Weg 12-1401069 Dresden
SUMMARY:Baake: Recombination and ancestral recombination trees
CLASS:PUBLIC
DESCRIPTION:Speaker: Prof. Dr. Ellen Baake\nInstitute of Speaker: Universit
 ät Bielefeld\, Technische Fakultät\nTopics:\nMathematik\n Location:\n  N
 ame: TUD Willers-Bau (WIL C 307)\n  Street: Zellescher Weg 12-14\n  City: 
 01069 Dresden\n  Phone: \n  Fax: \nDescription: Recombination is the genet
 ic mechanism by  which two parent individuals create the mixed type of the
 ir offspring during sexual reproduction\; it is one of the major sources o
 f genetic variability in populations.  We consider both  stochastic and de
 terministic models for the evolution of populations under recombination. S
 tarting from the stochastic version (the Wright-Fisher model with recombin
 ation for a population of $N$ individuals)\,  we trace back the ancestry o
 f single individuals from the present population. In the $N \\to \\infty$ 
 limit\, this ancestral process is described by a  random tree.  With the h
 elp of a decomposition of the trees into subtrees and an inclusion-exclusi
 on principle\, we find a  losed-form expression for the probabilities of t
 he topologies of these ancestral trees.   At the same time\,  these probab
 ilities lead to an explicit solution of the deterministic recombination eq
 uation. The  latter is a discrete-time dynamical system that emerges from 
 the Wright-Fisher model via a law of large numbers as $N \\to \\infty$\, a
 nd has been waiting for a solution for many decades.    This is joint work
  with Ute von Wangenheim.  
DTSTAMP:20260803T072116Z
CREATED:20120330T091021Z
LAST-MODIFIED:20120504T102308Z
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