Department of Physics, Centre for Nonlinear Studies and The Beijing-Hong Kong-Singapore Joint Centre for Non-linear and Complex Systems (Hong Kong), Hong Kong Baptist University Hong Kong, China.
Front Syst Neurosci. 2011 Dec 7;5:100. doi: 10.3389/fnsys.2011.00100. eCollection 2011.
Anti-phase oscillation has been widely observed in cortical neural network. Elucidating the mechanism underlying the organization of anti-phase pattern is of significance for better understanding more complicated pattern formations in brain networks. In dynamical systems theory, the organization of anti-phase oscillation pattern has usually been considered to relate to time delay in coupling. This is consistent to conduction delays in real neural networks in the brain due to finite propagation velocity of action potentials. However, other structural factors in cortical neural network, such as modular organization (connection density) and the coupling types (excitatory or inhibitory), could also play an important role. In this work, we investigate the anti-phase oscillation pattern organized on a two-module network of either neuronal cell model or neural mass model, and analyze the impact of the conduction delay times, the connection densities, and coupling types. Our results show that delay times and coupling types can play key roles in this organization. The connection densities may have an influence on the stability if an anti-phase pattern exists due to the other factors. Furthermore, we show that anti-phase synchronization of slow oscillations can be achieved with small delay times if there is interaction between slow and fast oscillations. These results are significant for further understanding more realistic spatiotemporal dynamics of cortico-cortical communications.
反相振荡在皮质神经网络中广泛存在。阐明反相模式形成的机制对于更好地理解大脑网络中更复杂的模式形成具有重要意义。在动力系统理论中，反相振荡模式的组织通常被认为与耦合中的时间延迟有关。这与由于动作电位的有限传播速度而导致的大脑中真实神经网络中的传导延迟一致。然而，皮质神经网络中的其他结构因素，如模块组织（连接密度）和耦合类型（兴奋性或抑制性），也可能起着重要作用。在这项工作中，我们研究了神经元细胞模型或神经质量模型的两个模块网络上组织的反相振荡模式，并分析了传导延迟时间、连接密度和耦合类型的影响。我们的结果表明，延迟时间和耦合类型可以在这种组织中发挥关键作用。如果由于其他因素存在反相模式，连接密度可能会对稳定性产生影响。此外，我们表明，如果慢波和快波之间存在相互作用，即使存在小的延迟时间，也可以实现慢波的反相同步。这些结果对于进一步理解皮质间通讯的更现实时空动力学具有重要意义。
