Transition to chaos in random networks with cell-type-specific connectivity

Physical Review Letters
Johnatan AljadeffTatyana Sharpee

Abstract

In neural circuits, statistical connectivity rules strongly depend on cell-type identity. We study dynamics of neural networks with cell-type-specific connectivity by extending the dynamic mean-field method and find that these networks exhibit a phase transition between silent and chaotic activity. By analyzing the locus of this transition, we derive a new result in random matrix theory: the spectral radius of a random connectivity matrix with block-structured variances. We apply our results to show how a small group of hyperexcitable neurons within the network can significantly increase the network's computational capacity by bringing it into the chaotic regime.

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Citations

Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Taro Toyoizumi, Haiping Huang
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stefan WielandBenjamin Lindner
Jun 24, 2016·Nature Communications·Jacopo GrilliStefano Allesina
Dec 8, 2016·Physical Review Letters·Izaak Neri, Fernando Lucas Metz
Dec 15, 2016·Physical Review. E·Alexander Kuczala, Tatyana O Sharpee
May 12, 2020·PLoS Computational Biology·Alexander RivkindOmri Barak
Jun 24, 2017·PLoS Computational Biology·Gabriel Koch OckerMichael A Buice
Oct 12, 2017·Journal of Mathematical Neuroscience·Andrea K BarreiroEli Shlizerman
Mar 20, 2018·Frontiers in Computational Neuroscience·Rodrigo F O PenaBenjamin Lindner
Jan 20, 2018·Physical Review. E·Akhilesh PandeySanjay Puri
Dec 20, 2017·Nature Communications·Jennifer M Blackwell, Maria N Geffen
Jul 24, 2020·Physical Review Letters·Łukasz KuśmierzTaro Toyoizumi
Apr 25, 2017·PLoS Computational Biology·Francesca Mastrogiuseppe, Srdjan Ostojic
Mar 15, 2020·Physical Review. E·Akhilesh PandeySanjay Puri
Mar 18, 2016·Physical Review. E·Johnatan AljadeffTatyana O Sharpee
Jan 5, 2019·Physical Review Letters·Alexander van Meegen, Benjamin Lindner
Feb 13, 2021·Physical Review Letters·Fernando Lucas Metz, Izaak Neri
Aug 2, 2017·Current Opinion in Neurobiology·Chengcheng Huang, Brent Doiron

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