Dynamical complexity in the C.elegans neural network

C. G. Antonopoulos, A. S. Fokas, T. C. Bountis

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We model the neuronal circuit of the C.elegans soil worm in terms of a Hindmarsh-Rose system of ordinary differential equations, dividing its circuit into six communities which are determined via the Walktrap and Louvain methods. Using the numerical solution of these equations, we analyze important measures of dynamical complexity, namely synchronicity, the largest Lyapunov exponent, and the ΦAR auto-regressive integrated information theory measure. We show that ΦAR provides a useful measure of the information contained in the C.elegans brain dynamic network. Our analysis reveals that the C.elegans brain dynamic network generates more information than the sum of its constituent parts, and that attains higher levels of integrated information for couplings for which either all its communities are highly synchronized, or there is a mixed state of highly synchronized and desynchronized communities.

Original languageEnglish
Pages (from-to)1255-1269
Number of pages15
JournalEuropean Physical Journal: Special Topics
Volume225
Issue number6-7
DOIs
Publication statusPublished - Sep 1 2016
Externally publishedYes

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Brain
Neural networks
brain
Information theory
Ordinary differential equations
worms
information theory
Soils
Networks (circuits)
soils
differential equations
exponents

ASJC Scopus subject areas

  • Materials Science(all)
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

Dynamical complexity in the C.elegans neural network. / Antonopoulos, C. G.; Fokas, A. S.; Bountis, T. C.

In: European Physical Journal: Special Topics, Vol. 225, No. 6-7, 01.09.2016, p. 1255-1269.

Research output: Contribution to journalArticle

Antonopoulos, C. G. ; Fokas, A. S. ; Bountis, T. C. / Dynamical complexity in the C.elegans neural network. In: European Physical Journal: Special Topics. 2016 ; Vol. 225, No. 6-7. pp. 1255-1269.
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