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Statistical complexity and connectivity relationship in cultured neural networks

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  • Tlaie, A.
  • Ballesteros-Esteban, L.M.
  • Leyva, I.
  • Sendiña-Nadal, I.

Abstract

We explore the interplay between the topological relevance of a neuron and its dynamical traces in experimental cultured neuronal networks. We monitor the growth and development of these networks to characterise the evolution of their connectivity. Then, we explore the structure-dynamics relationship by simulating a biophysically plausible dynamical model on top of each networks’ nodes. In the weakly coupling regime, the statistical complexity of each single node dynamics is found to be anti-correlated with their degree centrality, with nodes of higher degree displaying lower complexity levels. Our results imply that it is possible to infer the degree distribution of the network connectivity only from individual dynamical measurements.

Suggested Citation

  • Tlaie, A. & Ballesteros-Esteban, L.M. & Leyva, I. & Sendiña-Nadal, I., 2019. "Statistical complexity and connectivity relationship in cultured neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 284-290.
    • Handle: RePEc:eee:chsofr:v:119:y:2019:i:c:p:284-290
    DOI: 10.1016/j.chaos.2018.12.027
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    1. Louis M. Pecora & Francesco Sorrentino & Aaron M. Hagerstrom & Thomas E. Murphy & Rajarshi Roy, 2014. "Cluster synchronization and isolated desynchronization in complex networks with symmetries," Nature Communications, Nature, vol. 5(1), pages 1-8, September.
    2. Letellier, Christophe, 2008. "Symbolic sequence analysis using approximated partition," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 32-41.
    3. Alessandro Pluchino & Vito Latora & Andrea Rapisarda, 2005. "Changing Opinions In A Changing World: A New Perspective In Sociophysics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 515-531.
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    1. Aguirre, J. & Almendral, J.A. & Buldú, J.M. & Criado, R. & Gutiérrez, R. & Leyva, I. & Romance, M. & Sendiña-Nadal, I., 2019. "Experimental complexity in physical, social and biological systems," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 200-202.

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