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Modeling the Functional Network for Spatial Navigation in the Human Brain
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Robustness of spatial micronetworks.

Thomas C McAndrew1, Christopher M Danforth1, James P Bagrow1

  • 1Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05405, USA and Vermont Complex Systems Center, University of Vermont, Burlington, Vermont 05405, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2015
PubMed
Summary
This summary is machine-generated.

Spatial network robustness is crucial for infrastructure like microgrids. This study shows that link failures proportional to spatial distance make networks more fragile than traditional models suggest, impacting design.

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Area of Science:

  • Network science
  • Infrastructure engineering
  • Spatial analysis

Background:

  • Modern society relies on physical infrastructure networks (power lines, roads, pipelines).
  • Network robustness studies traditionally focus on large, random networks, often neglecting spatial distances.
  • Small spatial networks are increasingly important, especially with the rise of microgrids.

Purpose of the Study:

  • To investigate the robustness of small spatial networks considering link failures dependent on spatial distance.
  • To understand how physical distances influence the fragility of infrastructure networks.
  • To inform the design of efficient microgrids and other spatial infrastructure.

Main Methods:

  • Development of a percolation model where link failure probability is proportional to link length.
  • Analysis of random link failures in small networks with both spatial and topological considerations.

Main Results:

  • Networks are found to be more fragile when link failures are dependent on spatial distances.
  • The spatial length of links significantly impacts network robustness.
  • Traditional models may underestimate network fragility in spatially constrained systems.

Conclusions:

  • Accounting for spatial effects in both network construction and robustness is essential.
  • Spatial distance is a critical factor in the resilience of infrastructure networks.
  • Findings are important for the efficient design and maintenance of microgrids and similar infrastructure.