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SUMMARY:Jörn Dunkel (Mathematics\, MIT - USA)
DTSTART:20240301T160000Z
DTEND:20240301T170000Z
DTSTAMP:20260423T022915Z
UID:GEOTOP-A/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/63/
 ">Topological packing statistics of living and non-living matter</a>\nby J
 örn Dunkel (Mathematics\, MIT - USA) as part of GEOTOP-A seminar\n\n\nAbs
 tract\nComplex disordered matter is of central importance to a wide range 
 of disciplines\, from bacterial colonies and embryonic tissues in biology 
 to foams and granular media in materials science to stellar configurations
  in astrophysics. Because of the vast differences in composition and scale
 \, comparing structural features across such disparate systems remains cha
 llenging. Here\, by using the statistical properties of Delaunay tessellat
 ions\, we introduce a mathematical framework for measuring topological dis
 tances between two- or three-dimensional point clouds. The resulting syste
 m-agnostic metric reveals subtle structural differences between bacterial 
 biofilms as well as between zebrafish brain regions\, and it recovers temp
 oral ordering of embryonic development. We apply the metric to construct a
  universal topological atlas encompassing bacterial biofilms\, snowflake y
 east\, plant shoots\, zebrafish brain matter\, organoids\, and embryonic t
 issues as well as foams\, colloidal packings\, glassy materials\, and stel
 lar configurations. Living systems localize within a bounded island-like r
 egion of the atlas\, reflecting that biological growth mechanisms result i
 n characteristic topological properties.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/63/
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