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.

在本研究中，在两个现实世界网络中研究了高阶相互作用，即涉及两个以上神经元的复杂相互作用。这些相互作用在大脑的功能中起着至关重要的作用，因为它们可以影响网络的同步和动态。本文分析了有向单纯复形的应用，即高阶相互作用的数学实现，以研究两只猕猴大脑网络的同步性。有趣的是，方向允许考虑不同的单纯图案。 Hindmarsh-Rose 混沌系统已用于对节点动力学进行建模。此外，电和化学耦合被认为是相互作用机制。这项研究的结果为大脑网络的复杂动态提供了宝贵的见解。