https://doi.org/10.1140/epjs/s11734-024-01159-6
Regular Article
Directed simplicial complexes in brain real-world networks
1
Department of Mathematics, Faculty of Science, University of Jordan, 11942, Amman, Jordan
2
Nonlinear Dynamics Research Center (NDRC), Ajman University, 20550, Ajman, United Arab Emirates
3
Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam
4
School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei, China
Received:
2
February
2024
Accepted:
1
April
2024
Published online:
12
April
2024
In this study, the higher order interactions, which are complex interactions involving more than two neurons, are studied in two real-world networks. These interactions play a crucial role in the brain's functioning, as they can influence the network's synchronization and dynamics. This paper analyzes the application of directed simplicial complexes, the mathematical realization of the higher order interactions, to study the synchronization of two Macaque rhesus brain networks. Interestingly, the directionally allows for the consideration of different simplicial motifs. The Hindmarsh–Rose chaotic system has been used to model the node dynamics. Also, electrical and chemical couplings are considered to be the interaction mechanism. The findings from this study provide valuable insights into the complex dynamics of brain networks.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
