论文标题
用时间延迟的耦合对爆发后的后 - 隆斯神经元的能量分析
Energy analysis of bursting Hindmarsh-Rose neurons with time-delayed coupling
论文作者
论文摘要
数学建模是研究延迟在神经系统中的作用并评估其对耦合神经元信号活性的影响的重要工具。延迟神经元的模型通常用于表示真实神经元的动力学,但很少用于评估维持这些动态所需的能量。在这项工作中,我们从能量的角度考虑了这些问题,考虑了一对后玛什 - 罗斯爆发神经元,并通过相互延迟的耦合以及电和化学突触结合。我们检查了维持合作行为并量化突触对总能耗的贡献所需的平均能耗。我们表明,与电气耦合不同,时间延迟似乎减少了突触贡献的瞬时平均相对重量,而在化学耦合中,这种平均突触耦合的平均耦合似乎比瞬时耦合中的平均突触贡献要高得多,除非在某些固定强度值的值中,但瞬时突触贡献的贡献更重要。
Mathematical modeling is an important tool to study the role of delay in neural systems and to evaluate its effects on the signaling activity of coupled neurons. Models for delayed neurons are often used to represent the dynamics of real neurons, but rarely to assess the energy required to maintain these dynamics. In this work, we address these questions from an energy perspective by considering a pair of Hindmarsh-Rose burst neurons coupled by reciprocal time-delayed coupling with electrical and chemical synapses. We examine the average energy consumption required to maintain cooperative behavior and quantify the contribution of synapses to total energy consumption. We show that unlike electrical coupling, where the time delay appears to reduce the instantaneous average relative weight of the synaptic contribution, in chemical coupling this average synaptic contribution appears to be much higher in delayed coupling than in instantaneous coupling, except at certain values of coupling strength where the instantaneous synaptic contribution is more important.