Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system

Tomoyuki Miyaji, Isamu Ohnishi, Atsushi Tero, Toshiyuki Nakagaki

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper we study a mathematical model describing behaviour of Physarum polycephalum proposed by Tero et al. (2007). In the case of linear adaptive term, it has been proved that the model must solve the shortest path problem mathematically rigorously on a general planar graph in Miyaji and Ohnishi (2007, 2008). However, in a laboratory, P. polycephalum sometimes makes a mistake, for example, when there is a 'double-edge' in a graph. We study the case mathematically to show both why and how P. polycephalum makes a mistake.

Original languageEnglish
Pages (from-to)210-219
Number of pages10
JournalInternational Journal of Dynamical Systems and Differential Equations
Volume1
Issue number3
DOIs
Publication statusPublished - Jul 2008

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

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