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兴奋性和抑制性神经元全局耦合异质神经网络的低维描述。

A low dimensional description of globally coupled heterogeneous neural networks of excitatory and inhibitory neurons.

作者信息

Stefanescu Roxana A, Jirsa Viktor K

机构信息

Department of Physics, Florida Atlantic University, Boca Raton, Florida, United States of America.

出版信息

PLoS Comput Biol. 2008 Nov;4(11):e1000219. doi: 10.1371/journal.pcbi.1000219. Epub 2008 Nov 14.

DOI:10.1371/journal.pcbi.1000219
PMID:19008942
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2574034/
Abstract

Neural networks consisting of globally coupled excitatory and inhibitory nonidentical neurons may exhibit a complex dynamic behavior including synchronization, multiclustered solutions in phase space, and oscillator death. We investigate the conditions under which these behaviors occur in a multidimensional parametric space defined by the connectivity strengths and dispersion of the neuronal membrane excitability. Using mode decomposition techniques, we further derive analytically a low dimensional description of the neural population dynamics and show that the various dynamic behaviors of the entire network can be well reproduced by this reduced system. Examples of networks of FitzHugh-Nagumo and Hindmarsh-Rose neurons are discussed in detail.

摘要

由全局耦合的兴奋性和抑制性不同神经元组成的神经网络可能表现出复杂的动态行为，包括同步、相空间中的多簇解以及振荡死亡。我们研究了在由神经元膜兴奋性的连接强度和离散度定义的多维参数空间中这些行为出现的条件。使用模式分解技术，我们进一步解析推导了神经群体动力学的低维描述，并表明整个网络的各种动态行为可以由这个简化系统很好地再现。详细讨论了FitzHugh-Nagumo神经元和Hindmarsh-Rose神经元网络的例子。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/07f64cfe2a47/pcbi.1000219.g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/e8d2274faad6/pcbi.1000219.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/8a9e413c2cf2/pcbi.1000219.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/d31febf0a61c/pcbi.1000219.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/feda7ee9ab02/pcbi.1000219.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/dff8c3954a0c/pcbi.1000219.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/02fb76a86f69/pcbi.1000219.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/0320711973be/pcbi.1000219.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/b1d954d9773f/pcbi.1000219.g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/adcc6aaf1660/pcbi.1000219.g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/bd074d7421eb/pcbi.1000219.g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/1333c6518479/pcbi.1000219.g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/a9a4e43df094/pcbi.1000219.g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/1a3f44850bcd/pcbi.1000219.g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/07f64cfe2a47/pcbi.1000219.g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/e8d2274faad6/pcbi.1000219.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/8a9e413c2cf2/pcbi.1000219.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/d31febf0a61c/pcbi.1000219.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/feda7ee9ab02/pcbi.1000219.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/dff8c3954a0c/pcbi.1000219.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/02fb76a86f69/pcbi.1000219.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/0320711973be/pcbi.1000219.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/b1d954d9773f/pcbi.1000219.g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/adcc6aaf1660/pcbi.1000219.g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/bd074d7421eb/pcbi.1000219.g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/1333c6518479/pcbi.1000219.g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/a9a4e43df094/pcbi.1000219.g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/1a3f44850bcd/pcbi.1000219.g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4143/2574034/07f64cfe2a47/pcbi.1000219.g014.jpg

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