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@PHDTHESIS{Layer:854997,
      author       = {Layer, Moritz},
      othercontributors = {Helias, Moritz and Kampa, Björn M.},
      title        = {{D}ynamical and statistical structure of spatially
                      organized neuronal networks},
      volume       = {85},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH, Zentralbibliothek, Verlag},
      reportid     = {RWTH-2022-09916},
      isbn         = {978-3-95806-651-9},
      series       = {Schriften des Forschungszentrums Jülich. Reihe Information
                      = Information},
      pages        = {1 Online-Ressource (xiii, 165 Seiten) : Illustrationen,
                      Diagramme},
      year         = {2022},
      note         = {Druckausgabe: 2022. - Onlineausgabe: 2022. - Auch
                      veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University; Dissertation, RWTH Aachen University, 2022},
      abstract     = {The cerebral cortex, the outer layer of mammalian brains,
                      comprises a vast number of neurons arranged and connected in
                      a highly organized fashion. The likelihood of neurons to be
                      connected and how fast they may exchange signals depends,
                      among other properties, on their spatial distance. Cortical
                      networks may be well described as completely random networks
                      on microscopic scales because cortical neurons have
                      essentially uniform connection probabilities within a few
                      tens of micrometers. However, the distance-dependence of
                      neuronal connections certainly is important on mesoscopic
                      scales spanning several millimeters, where many neurons are
                      most likely unconnected. While the theory of random networks
                      is already well-established, how such a spatial organization
                      affects a network's activity is not yet fully understood.
                      The objective of this thesis is to provide an overview of
                      the current analytical understanding of spatially organized
                      networks on a mesoscopic scale, as well as to advance this
                      understanding with three studies covering complementary
                      aspects of spatially organized network theory.A variety of
                      experimental recordings in cortex reveals that neuronal
                      activity is coordinated across several millimeters:
                      Multi-electrode-arrays covering a few square millimeters,
                      for example, provide access to the local field potential, a
                      measure of population activity, as well as single neuron
                      spiking activity. While spiking activity exhibits
                      distance-dependent correlation characteristics, population
                      activity shows spatio-temporally coherent activity, like
                      periodic patterns, waves, or bumps. In this thesis we employ
                      a combination of network models, analytical tools, and
                      simulations to gain an understanding of such findings. We
                      particularly make use of mean-field theory, which is a
                      viable tool for investigating statistical properties of
                      populations made up of thousands of neurons, and it
                      therefore may be utilized to gain a coarse-grained
                      description of network activity at large scales. In the
                      first main part, we present a Python package we developed to
                      make previously developed analytical results from neuronal
                      network mean-field theory applicable to concrete network
                      models, giving access to estimates of model properties such
                      as firing rates and power spectra, as well as more elaborate
                      tools that can support network modeling. In the second
                      study, we investigate how neurons may coordinate their
                      activity dynamically across large distances, without the
                      need for highly correlated input or long-range connections.
                      In the third study, we explore how a temporal delay may
                      affect pattern formation in planar networks. As we
                      demonstrate, spatial organization is a critical network
                      feature that does not merely lead to obvious phenomena like
                      spatially structured activity. On the contrary, as we show
                      in this thesis, spatial organization leads to a variety of
                      interesting, non-trivial effects, that on first sight might
                      even seem counterintuitive, and this topic certainly
                      provides a multitude of intriguing research questions for
                      the near future.},
      cin          = {163110 / 136930 ; 136920 / 130000 / 160000},
      ddc          = {570},
      cid          = {$I:(DE-82)163110_20180110$ / $I:(DE-82)136930_20160614$ /
                      $I:(DE-82)130000_20140620$ / $I:(DE-82)160000_20140620$},
      pnm          = {GRK 2416 - GRK 2416: MultiSenses-MultiScales: Neue Ansätze
                      zur Aufklärung neuronaler multisensorischer Integration
                      (368482240) / HBP SGA1 - Human Brain Project Specific Grant
                      Agreement 1 (720270) / HBP SGA2 - Human Brain Project
                      Specific Grant Agreement 2 (785907) / HBP SGA3 - Human Brain
                      Project Specific Grant Agreement 3 (945539) / JL SMHB -
                      Joint Lab Supercomputing and Modeling for the Human Brain
                      (JL SMHB-2021-2027)},
      pid          = {G:(GEPRIS)368482240 / G:(EU-Grant)720270 /
                      G:(EU-Grant)785907 / G:(EU-Grant)945539 / G:(DE-Juel1)JL
                      SMHB-2021-2027},
      typ          = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
      doi          = {10.18154/RWTH-2022-09916},
      url          = {https://publications.rwth-aachen.de/record/854997},
}