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SUMMARY:Physarum Polycephalum Percolation as a Paradigm for Topological Ph
 ase Transitions in Transportation Networks - Dbereiner\, H-G (Universitt B
 remen)
DTSTART:20130626T100000Z
DTEND:20130626T104500Z
UID:TALK45921@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study the formation of transportation networks of the true 
 slime mold Physarum polycephalum after fragmentation by shear. Small fragm
 ents\, called microplasmodia\, fuse to form macroplasmodia in a percolatio
 n transition. At this topological phase transition\, one single giant comp
 onent forms\, connecting most of the previously isolated microplasmodia. E
 mploying the configuration model of graph theory for small link degree\, w
 e have found analytically an exact solution for the phase transition. \n	T
 he universality of percolation may be used as a general gauge in the analy
 sis of transportation networks. Some malignant tissues derive their blood 
 vessels not by angiogenesis\, i.e.\, remodeling of existing vessels\, but 
 rather by denovo vascularization like embryos. Since topologically\, perco
 lation is independent from detailed mechanisms and even space dimensions\,
  i.e.\, 2D versus 3D growth\, it may serve as a reference point in space a
 nd time when comparing the dynamics of network formation in tumors of vary
 ing size and shape. Since restricting blood supply via hindering vessel pe
 rcolation is paramount for suppressing tumor growth\, this may foster deve
 lopment of antiangiogenic therapy.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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