Maistrenko Yuri L, Lysyansky Borys, Hauptmann Christian, Burylko Oleksandr, Tass Peter A
Institute of Medicine and Virtual Institute of Neuromodulation, Research Centre Jülich, 52425 Jülich, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jun;75(6 Pt 2):066207. doi: 10.1103/PhysRevE.75.066207. Epub 2007 Jun 18.
We present a simplified phase model for neuronal dynamics with spike timing-dependent plasticity (STDP). For asymmetric, experimentally observed STDP we find multistability: a coexistence of a fully synchronized, a fully desynchronized, and a variety of cluster states in a wide enough range of the parameter space. We show that multistability can occur only for asymmetric STDP, and we study how the coexistence of synchronization and desynchronization and clustering depends on the distribution of the eigenfrequencies. We test the efficacy of the proposed method on the Kuramoto model which is, de facto, one of the sample models for a description of the phase dynamics in neuronal ensembles.
我们提出了一种用于具有脉冲时间依赖可塑性（STDP）的神经元动力学的简化相位模型。对于非对称的、实验观察到的STDP，我们发现了多稳定性：在足够宽的参数空间范围内，完全同步、完全去同步以及各种簇状状态共存。我们表明，多稳定性仅在非对称STDP情况下才会出现，并且我们研究了同步、去同步和聚类的共存如何依赖于本征频率的分布。我们在Kuramoto模型上测试了所提出方法的有效性，事实上，Kuramoto模型是用于描述神经元群体相位动力学的样本模型之一。
