Towards Google matrix of brain

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• 作者：D.L. Shepelyansky ; O.V. Zhirov
• 关键词：Neuronal networks ; World Wide Web ; Google matrix ; PageRank
• 刊名：Physics Letters A
• 出版年：2010
• 出版时间：12 July 2010
• 年：2010
• 卷：374
• 期：31-32
• 页码：3206-3209
• 全文大小：383 K

文摘

We apply the approach of the Google matrix, used in computer science and World Wide Web, to description of properties of neuronal networks. The Google matrix G is constructed on the basis of neuronal network of a brain model discussed in PNAS 105 (2008) 3593. We show that the spectrum of eigenvalues of G has a gapless structure with long living relaxation modes. The PageRank of the network becomes delocalized for certain values of the Google damping factor α. The properties of other eigenstates are also analyzed. We discuss further parallels and similarities between the World Wide Web and neuronal networks.