Degree assortativity in networks of spiking neurons

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-04-01 DOI:10.3934/jcd.2020016

Christian Blasche, S. Means, C. Laing

引用次数: 6

Abstract

Degree assortativity refers to the increased or decreased probability of connecting two neurons based on their in- or out-degrees, relative to what would be expected by chance. We investigate the effects of such assortativity in a network of theta neurons. The Ott/Antonsen ansatz is used to derive equations for the expected state of each neuron, and these equations are then coarse-grained in degree space. We generate families of effective connectivity matrices parametrised by assortativity coefficient and use SVD decompositions of these to efficiently perform numerical bifurcation analysis of the coarse-grained equations. We find that of the four possible types of degree assortativity, two have no effect on the networks' dynamics, while the other two can have a significant effect.

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尖峰神经元网络的程度匹配性

度匹配性指的是相对于偶然的预期，两个神经元连接的概率根据它们的进出度而增加或减少。我们研究了在theta神经元网络中这种协调性的影响。Ott/Antonsen ansatz用于推导每个神经元预期状态的方程，然后这些方程在度空间中是粗粒度的。我们生成由配度系数参数化的有效连通性矩阵族，并利用这些矩阵族的SVD分解对粗粒度方程进行有效的数值分岔分析。我们发现，在四种可能的程度选型中，有两种对网络动态没有影响，而另外两种对网络动态有显著影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.