Lanzhou Center for Theoretical Physics and Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou, Gansu 730000, China.
Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000, China.
Chaos. 2023 Jan;33(1):013114. doi: 10.1063/5.0132107.
Results show that the astrocytes can not only listen to the talk of large assemble of neurons but also give advice to the conversations and are significant sources of heterogeneous couplings as well. In the present work, we focus on such regulation character of astrocytes and explore the role of heterogeneous couplings among interacted neuron-astrocyte components in a signal response. We consider reduced dynamics in which the listening and advising processes of astrocytes are mapped into the form of group coupling, where the couplings are normally distributed. In both globally coupled overdamped bistable oscillators and an excitable FitzHugh-Nagumo (FHN) neuron model, we numerically and analytically demonstrate that two types of bell-shaped collective response curves can be obtained as the ensemble coupling strength or the heterogeneity of group coupling rise, respectively, which can be seen as a new type of double resonance. Furthermore, through the bifurcation analysis, we verify that these resonant signal responses stem from the competition between dispersion and aggregation induced by heterogeneous group and positive pairwise couplings, respectively. Our results contribute to a better understanding of the signal propagation in coupled systems with quenched disorder.
结果表明，星形胶质细胞不仅可以听取大量神经元的对话，还可以为对话提供建议，并且是异质耦合的重要来源。在本工作中，我们专注于星形胶质细胞的这种调节特性，并探索了相互作用的神经元-星形胶质细胞成分之间的异质耦合在信号响应中的作用。我们考虑了简化动力学，其中星形胶质细胞的监听和建议过程被映射到群体耦合的形式，其中耦合呈正态分布。在全局耦合过阻尼双稳振荡器和兴奋的 FitzHugh-Nagumo（FHN）神经元模型中，我们通过数值和解析方法证明，随着集合耦合强度或群体耦合异质性的增加，可以得到两种类型的钟形集体响应曲线，这可以看作是一种新型的双共振。此外，通过分岔分析，我们验证了这些共振信号响应源于由异质群体和正的成对耦合引起的弥散和聚集之间的竞争。我们的研究结果有助于更好地理解具有淬火无序的耦合系统中的信号传播。
