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Phys. Rev. E 74, 021102 (2006) [5 pages]

Optimal response function in networks of excitatory elements

Zbislaw Tabor
Department of Biophysics, Jagiellonian University Medical College, ul. Grzegorzecka 16a, 31-531 Cracow, Poland
Received 30 March 2006; revised 31 May 2006; published 2 August 2006

In this paper the problem of signal propagation in networks of excitatory elements is studied. It is found that the geometry of signal transmission paths depends crucially on how an excitatory element responds to a stimulus. Two types of responses are defined: fast and slow. In the slow response case the signal transmission paths are in the same universality class as optimal paths in the limit of strong disorder. The signal transmission paths formed in the fast response case constitute possibly a new universality class.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.74.021102
DOI: 10.1103/PhysRevE.74.021102
PACS: 05.40.-a; 64.60.Ak; 89.75.Hc
  • 05.40.-a
    Fluctuation phenomena, random processes, noise, and Brownian motion
  • 64.60.Ak
    Renormalization-group, fractal, and percolation studies of phase transitions
  • 89.75.Hc
    Networks and genealogical trees
  • YEAR: 2006
KEYWORDS: physiological models, neurophysiology, statistical analysis

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