Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

Stochastic bursting in networks of excitable units with delayed coupling.

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
  • Author(s): Zheng C;Zheng C; Pikovsky A; Pikovsky A; Pikovsky A
  • Source:
    Biological cybernetics [Biol Cybern] 2022 Apr; Vol. 116 (2), pp. 121-128. Date of Electronic Publication: 2021 Jun 28.
  • Publication Type:
    Journal Article; Research Support, Non-U.S. Gov't
  • Language:
    English
  • Additional Information
    • Source:
      Publisher: Springer Verlag Country of Publication: Germany NLM ID: 7502533 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1432-0770 (Electronic) Linking ISSN: 03401200 NLM ISO Abbreviation: Biol Cybern Subsets: MEDLINE
    • Publication Information:
      Publication: Berlin : Springer Verlag
      Original Publication: Berlin, New York, Springer-Verlag.
    • Subject Terms:
    • Abstract:
      We investigate the phenomenon of stochastic bursting in a noisy excitable unit with multiple weak delay feedbacks, by virtue of a directed tree lattice model. We find statistical properties of the appearing sequence of spikes and expressions for the power spectral density. This simple model is extended to a network of three units with delayed coupling of a star type. We find the power spectral density of each unit and the cross-spectral density between any two units. The basic assumptions behind the analytical approach are the separation of timescales, allowing for a description of the spike train as a point process, and weakness of coupling, allowing for a representation of the action of overlapped spikes via the sum of the one-spike excitation probabilities.
      (© 2021. The Author(s).)
    • References:
      J Neurosci. 2002 Dec 15;22(24):10603-12. (PMID: 12486152)
      PLoS Comput Biol. 2012;8(3):e1002408. (PMID: 22457608)
      J Neurosci. 2004 Oct 6;24(40):8896-906. (PMID: 15470156)
      Proc Natl Acad Sci U S A. 2003 Jun 10;100(12):7348-53. (PMID: 12775756)
      PLoS Comput Biol. 2016 Jun 06;12(6):e1004963. (PMID: 27271768)
      Neural Comput. 2006 Feb;18(2):245-82. (PMID: 16378515)
      J Neurosci. 2001 Jun 15;21(12):4173-82. (PMID: 11404402)
      Nature. 2007 Aug 16;448(7155):802-6. (PMID: 17700699)
      Phys Rev Lett. 2007 Mar 30;98(13):134101. (PMID: 17501202)
      PLoS Comput Biol. 2017 Jun 23;13(6):e1005583. (PMID: 28644840)
      Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Aug;72(2 Pt 1):021911. (PMID: 16196608)
      Trends Neurosci. 1990 Mar;13(3):99-104. (PMID: 1691879)
      Nat Neurosci. 2016 Mar;19(3):383-93. (PMID: 26906505)
      PLoS Comput Biol. 2011 May;7(5):e1002059. (PMID: 21625580)
      Chaos. 2019 Apr;29(4):041103. (PMID: 31042942)
    • Contributed Indexing:
      Keywords: Excitable system; Noise-induced spikes; Point process; Time-delayed coupling
    • Publication Date:
      Date Created: 20210628 Date Completed: 20220506 Latest Revision: 20220716
    • Publication Date:
      20250114
    • Accession Number:
      PMC9068677
    • Accession Number:
      10.1007/s00422-021-00883-9
    • Accession Number:
      34181074