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SUMMARY:Solving tangle equations and the tangle model for DNA recombinatio
 n - Mauro Mauricio (Imperial)
DTSTART:20120515T140000Z
DTEND:20120515T150000Z
UID:TALK37211@talks.cam.ac.uk
CONTACT:Dr Andras Juhasz
DESCRIPTION:In modelling site-specific DNA recombination\, one is interest
 ed in solving certain "tangle equations" to characterise some biological p
 rocesses. If the given data consists of  "small" 2-bridge knots\, then the
  problem admits a very satisfactory solution\, as given by Ernst and Sumne
 rs (circa 1990). However\, there are instances where one has to deal with 
 connect-sums of 2-bridge knots\, and this greatly complicates the analysis
 .\nIn this talk\, we will explain how tangle equations are solved. This is
  essentially studying a Dehn surgery problem by taking double branched cov
 ers. We will see how the work of Ernst and Sumners relied on using some De
 hn surgery theorems (available at the time)\, and how we can use some more
  recent machinery to obtain some results on the connect-sums of 2-bridge k
 nots case.\nThese turn out to be strong enough to characterise the action 
 of a particular protein\, which we will describe.
LOCATION:MR9
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