Neuroscience Institute, College of Arts and Sciences, Georgia State University, Atlanta, Georgia 30303, USA.
Phys Rev E. 2023 Mar;107(3-1):034403. doi: 10.1103/PhysRevE.107.034403.
Traveling waves of electrical activity are ubiquitous in biological neuronal networks. Traveling waves in the brain are associated with sensory processing, phase coding, and sleep. The neuron and network parameters that determine traveling waves' evolution are the synaptic space constant, synaptic conductance, membrane time constant, and synaptic decay time constant. We used an abstract neuron model in a one-dimensional network to investigate the propagation characteristics of traveling wave activity. We formulate a set of evolution equations based on the network connectivity parameters. Using a combination of numerical and analytical approaches, we show that these traveling waves are stable to a series of perturbations with biological relevance.
电活动的行波在生物神经元网络中无处不在。大脑中的行波与感觉处理、相位编码和睡眠有关。决定行波演化的神经元和网络参数包括突触空间常数、突触电导、膜时间常数和突触衰减时间常数。我们使用一维网络中的抽象神经元模型来研究行波活动的传播特性。我们根据网络连接参数制定了一组演化方程。通过数值和分析方法的结合，我们表明这些行波对一系列具有生物学相关性的扰动是稳定的。
