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Spike phase synchronization in multiplex cortical neural networks

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  • Jalili, Mahdi

Abstract

In this paper we study synchronizability of two multiplex cortical networks: whole-cortex of hermaphrodite C. elegans and posterior cortex in male C. elegans. These networks are composed of two connection layers: network of chemical synapses and the one formed by gap junctions. This work studies the contribution of each layer on the phase synchronization of non-identical spiking Hindmarsh–Rose neurons. The network of male C. elegans shows higher phase synchronization than its randomized version, while it is not the case for hermaphrodite type. The random networks in each layer are constructed such that the nodes have the same degree as the original network, thus providing an unbiased comparison. In male C. elegans, although the gap junction network is sparser than the chemical network, it shows higher contribution in the synchronization phenomenon. This is not the case in hermaphrodite type, which is mainly due to significant less density of gap junction layer (0.013) as compared to chemical layer (0.028). Also, the gap junction network in this type has stronger community structure than the chemical network, and this is another driving factor for its weaker synchronizability.

Suggested Citation

  • Jalili, Mahdi, 2017. "Spike phase synchronization in multiplex cortical neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 325-333.
    • Handle: RePEc:eee:phsmap:v:466:y:2017:i:c:p:325-333
    DOI: 10.1016/j.physa.2016.09.030
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    References listed on IDEAS

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    1. Mahdi Jalili, 2012. "Synchronizability Of Complex Networks With Community Structure," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 1-11.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    3. A. Draguhn & R. D. Traub & D. Schmitz & J. G. R. Jefferys, 1998. "Electrical coupling underlies high-frequency oscillations in the hippocampus in vitro," Nature, Nature, vol. 394(6689), pages 189-192, July.
    4. Barigozzi, Matteo & Fagiolo, Giorgio & Mangioni, Giuseppe, 2011. "Identifying the community structure of the international-trade multi-network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2051-2066.
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    Cited by:

    1. Bandyopadhyay, Abhirup & Kar, Samarjit, 2018. "Impact of network structure on synchronization of Hindmarsh–Rose neurons coupled in structured network," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 194-212.
    2. Parastesh, Fatemeh & Rajagopal, Karthikeyan & Alsaadi, Fawaz E. & Hayat, Tasawar & Pham, V.-T. & Hussain, Iqtadar, 2019. "Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 377-384.

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