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SUMMARY:Are the fractal skeletons the explanation for the plankton paradox
  and narrowing of arteries due to cell trapping in a disturbed blood flow?
  - Celso Grebogi\,   Aberbeen
DTSTART:20080125T160000Z
DTEND:20080125T170000Z
UID:TALK9978@talks.cam.ac.uk
CONTACT:Nigel Peake
DESCRIPTION:Nature is permeated by phenomena in which active processes\, s
 uch as chemical reactions and biological interactions\, take place in envi
 ronmental flows. They include the dynamics of growing populations of plank
 ton in the oceans and the evolving distribution of ozone in the polar stra
 tosphere. I will show that if the dynamics of active particles in flows is
  chaotic\, then necessarily the concentration of particles have the observ
 ed fractal filamentary structures. These structures\, in turn\, are the sk
 eletons and the dynamic catalysts of active processes\, yielding an unusua
 l singularly enhanced productivity. I will argue that this singular produc
 tivity could be the hydrodynamic explanation for the plankton paradox\, in
  which an extremely large number of species are able to coexist\, negating
  the competitive exclusion principle that asserts the survival of only the
  most perfectly adapted to each limiting resource. I will then suggest tha
 t the presence of such fractal skeletons in arterial flow could be the exp
 lanation for the eventual narrowing of arteries due to cell trapping and a
 ctivation in a disturbed blood flow.\n\n\n*Chemical and biological activit
 y in open flows: A dynamical system approach*\, T. Tél\, A. Moura\, C. Gr
 ebogi and G. Károlyi\, Phys. Reports *413*\, Issues 2-3\, pages 91-196 (2
 005).
LOCATION:MR2\, Centre for Mathematical Sciences
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