8th International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)

Research Article

An Analytical Model for Percolation in Small Link Degree Transportation Networks

Cite
BibTeX Plain Text
  • @INPROCEEDINGS{10.4108/icst.bict.2014.257857,
    author={Adrian Fessel and Christina Oettmeier and Hans-G\'{y}nther D\o{}bereiner},
    title={An Analytical Model for Percolation in Small Link Degree Transportation Networks},
    proceedings={8th International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)},
    publisher={ICST},
    proceedings_a={BICT},
    year={2015},
    month={2},
    keywords={physarum polycephalum graph theory percolation analytical methods},
    doi={10.4108/icst.bict.2014.257857}
}
  • Adrian Fessel
    Christina Oettmeier
    Hans-Günther Döbereiner
    Year: 2015
    An Analytical Model for Percolation in Small Link Degree Transportation Networks
    BICT
    ACM
    DOI: 10.4108/icst.bict.2014.257857
Adrian Fessel1,*, Christina Oettmeier1, Hans-Günther Döbereiner1
  • 1: Institut für Biophysik, Universität Bremen
*Contact email: af@biophysik.uni-bremen.de

Abstract

Microplasmodia of the slime mold Physarum polycephalum form a small link degree transportation network in a percolation transition in order to forage. We model this transition analytically within the con guration model of graph theory utilizing all partaking types of nodes. Quite generally, we nd that at the percolation transition the formation of a small link degree network is topologically highly constrained and only weakly dependent on environmental factors.

Keywords
physarum polycephalum graph theory percolation analytical methods
Published
2015-02-02
Publisher
ICST
Appears in
ACM Digital Library
http://dx.doi.org/10.4108/icst.bict.2014.257857
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