Mathematical Center, Faculty of Science, University of Lund, Sölvegatan 18, 22100, Lund, Sweden.
Mathematical Center, Faculty of Science, University of Lund, Sölvegatan 18, 22100, Lund, Sweden.
Biosystems. 2022 Oct;220:104756. doi: 10.1016/j.biosystems.2022.104756. Epub 2022 Aug 6.
We consider a model for the propagation of electrical impulses or activity in a neuronal network. The vertices of a square lattice represent neurons, and the edges of the lattice represent the synaptic connections. Each vertex v is assigned a type: inhibitory or excitatory. The dynamics of propagation of the initial activity captures features of the "integrate-and-fire" model. We study the spread of activation in a large network and describe possible spatio-temporal limiting patterns depending on the initial activation. The rich palette of the limits with qualitatively different properties, including expanding patterns, fixed patterns, and patterns moving across the network, allows us to argue that this is a versatile model for the study of associative memory.
我们考虑了一个神经元网络中电脉冲或活动传播的模型。正方形晶格的顶点代表神经元，晶格的边缘代表突触连接。每个顶点 v 被分配一个类型：抑制性或兴奋性。初始活动传播的动力学捕获了“积分和点火”模型的特征。我们研究了大型网络中的激活传播，并根据初始激活描述了可能的时空限制模式。限制的丰富调色板具有不同的定性性质，包括扩展模式、固定模式和在网络中移动的模式，这使我们能够认为这是研究联想记忆的一种通用模型。
