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SUMMARY:Extracting Hidden Hierarchies in Complex Spatial Biological and Ph
 ysical Networks - Dr Carl D Modes (Rockefeller University\, New York)
DTSTART:20160609T110000Z
DTEND:20160609T120000Z
UID:TALK66371@talks.cam.ac.uk
CONTACT:Salvatore Tesoro
DESCRIPTION:Natural and man-made transport webs are frequently dominated b
 y dense sets of nested cycles. The architecture of these networks -- the t
 opology and edge weights -- determines how efficiently the networks perfor
 m their function. Yet\, the set of tools that can characterize such a weig
 hted cycle-rich architecture in a physically relevant\, mathematically com
 pact way is sparse. In order to fill this void\, this seminar presents a n
 ew characterization that rests on an abstraction of the physical `tiling' 
 in the case of a two dimensional network to an effective tiling of an abst
 ract surface in space that the network may be thought to sit in. Generical
 ly these abstract surfaces are richer than the plane and upon sequential r
 emoval of the weakest links by edge weight\, neighboring tiles merge and a
  tree characterizing this merging process results. The properties of this 
 characteristic tree can provide the physical and topological data required
  to describe the architecture of the network and to build physical models.
  This new algorithm can be used for automated phenotypic characterization 
 of any weighted network whose structure is dominated by cycles\, such as m
 ammalian vasculature in the organs\, the root networks of clonal colonies 
 like quaking aspen\, and the force networks in jammed granular matter. In 
 particular this seminar will also present some progress in the analysis of
  both neurovasculature and force networks chains.
LOCATION:TCM Seminar room\, 530 Mott building
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