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.
|Number of pages||10|
|Journal||International Journal of Dynamical Systems and Differential Equations|
|Publication status||Published - Jul 2008|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Control and Optimization