Sriram Sridevi, Mirzaei Simin, Mehrabbeik Mahtab, Rajagopal Karthikeyan, Rostami Mehdi, Jafari Sajad
Centre for Computational Modelling, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India.
Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran.
J Theor Biol. 2023 Sep 7;572:111591. doi: 10.1016/j.jtbi.2023.111591. Epub 2023 Aug 3.
Synchronization of interconnecting units is one of the hottest topics many researchers are interested in. In addition, this emerging phenomenon is responsible for many biological processes, and thus, the synchronization of interacting neurons is an important field of study in neuroscience. Employing the memristive Chialvo (mChialvo) neuron map, this paper investigates the effect of electrical, inner-linking, chemical, and hybrid coupling functions on the synchronization state of a neuronal network with regular structure. Master stability function (MSF) analysis is performed to obtain the necessary conditions for synchronizing the built networks. Afterward, the MSF-based results are confirmed by calculating the synchronization error. Besides, the dynamics of the synchronous neurons are discussed based on the bifurcation analysis. Our results suggest that, compared to the electrical and inner-linking functions, chemical synapses facilitate mChialvo neurons' synchronization since the neurons can achieve synchrony with a negligible chemical coupling strength. Further studies reveal that based on the active synapses, coupled mChialvo neurons can reach cluster synchronization, chimera state, sine-like synchronization, phase synchronization, and cluster phase synchronization.
互连单元的同步是许多研究人员感兴趣的热门话题之一。此外，这种新兴现象与许多生物过程有关，因此，相互作用神经元的同步是神经科学中一个重要的研究领域。本文利用忆阻Chialvo（mChialvo）神经元模型，研究了电耦合、内部连接耦合、化学耦合和混合耦合函数对具有规则结构的神经网络同步状态的影响。通过主稳定性函数（MSF）分析来获得所构建网络同步的必要条件。随后，通过计算同步误差来验证基于MSF的结果。此外，基于分岔分析讨论了同步神经元的动力学。我们的结果表明，与电耦合和内部连接耦合函数相比，化学突触促进了mChialvo神经元的同步，因为神经元可以在化学耦合强度可忽略不计的情况下实现同步。进一步的研究表明，基于活跃突触，耦合的mChialvo神经元可以达到簇同步、奇异态、正弦样同步、相位同步和簇相位同步。
