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What and Who

Packing spheres with Overlap

Mabel Iglesias-Ham
IST Austria
AG1 Mittagsseminar (own work)
AG 1, AG 2, AG 3, AG 4, AG 5, RG1, SWS, MMCI  
AG Audience
English

Date, Time and Location

Thursday, 28 November 2013
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

Recently it has been confirmed that the inside of the eukaryotic cell nucleus is organized in spherical structures of the same size. The packing of those structures can be modeled as equal sized spheres with overlap. We believe that geometrical constraints may be one key reason behind its particular organization. In that sense we currently work in finding optimal packing of spheres i.e. sphere organizations which minimize the overlap while covering as much of the empty space as possible. During the talk we are going to show some previous results in obtaining an approximate solution to the problem and introduce measures to quantify sphere arrangements such as density, overlap, union, and multiplicity for the study of sphere arrangements from a theoretical point of view. Our goal is to provide a mathematical model to support the study of biological processes like DNA replication and DNA expression.

Contact

Michael Kerber
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Michael Kerber, 11/25/2013 11:55
Michael Kerber, 10/04/2013 13:07 -- Created document.