Pattern formation in adaptive multiplex network in application to analysis of the complex structure of neuronal network of the brain

Mikhail V. Goremyko; Daniil V. Kirsanov; Vladimir O. Nedaivozov; Vladimir V. Makarov; Alexander E. Hramov

doi:10.1117/12.2249842

3 March 2017 Pattern formation in adaptive multiplex network in application to analysis of the complex structure of neuronal network of the brain

Mikhail V. Goremyko, Daniil V. Kirsanov, Vladimir O. Nedaivozov, Vladimir V. Makarov, Alexander E. Hramov

Author Affiliations +

Proceedings Volume 10063, Dynamics and Fluctuations in Biomedical Photonics XIV; 100631C (2017) https://doi.org/10.1117/12.2249842
Event: SPIE BiOS, 2017, San Francisco, California, United States

Abstract

In this paper we investigate the impact of competition between layers of adaptive multiplex network on pattern formation in the system under study and discuss the possibility of the further application of the obtained results for the analysis of the neural network of brain. To describe the dynamics of interacting nodes we use the Kuramoto model of coupled phase oscillators. To understand the macroscopic processes that take place in this system we calculate and compare the values of layer and global order parameter, which describe the degree of coherence between the nodes in each layer and over whole network, respectively. We find that in such adaptive network the low values of order inside layers corresponding to the formation of similar topologies among them. Nevertheless, the cluster synchronization results in divergence of layer structures from each other.

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Mikhail V. Goremyko, Daniil V. Kirsanov, Vladimir O. Nedaivozov, Vladimir V. Makarov, and Alexander E. Hramov "Pattern formation in adaptive multiplex network in application to analysis of the complex structure of neuronal network of the brain", Proc. SPIE 10063, Dynamics and Fluctuations in Biomedical Photonics XIV, 100631C (3 March 2017); https://doi.org/10.1117/12.2249842

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KEYWORDS

Brain

Oscillators

Neural networks

Mathematical modeling

Multilayers

Complex systems

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