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Percolation in networks with local homeostatic plasticity

Author

Listed:
  • Giacomo Rapisardi

    (Universitat Rovira i Virgili
    Barcelona Supercomputing Center (BSC))

  • Ivan Kryven

    (Mathematical Institute, Utrecht University
    Centre for Complex Systems Studies)

  • Alex Arenas

    (Universitat Rovira i Virgili)

Abstract

Percolation is a process that impairs network connectedness by deactivating links or nodes. This process features a phase transition that resembles paradigmatic critical transitions in epidemic spreading, biological networks, traffic and transportation systems. Some biological systems, such as networks of neural cells, actively respond to percolation-like damage, which enables these structures to maintain their function after degradation and aging. Here we study percolation in networks that actively respond to link damage by adopting a mechanism resembling synaptic scaling in neurons. We explain critical transitions in such active networks and show that these structures are more resilient to damage as they are able to maintain a stronger connectedness and ability to spread information. Moreover, we uncover the role of local rescaling strategies in biological networks and indicate a possibility of designing smart infrastructures with improved robustness to perturbations.

Suggested Citation

  • Giacomo Rapisardi & Ivan Kryven & Alex Arenas, 2022. "Percolation in networks with local homeostatic plasticity," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
  • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-021-27736-0
    DOI: 10.1038/s41467-021-27736-0
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    References listed on IDEAS

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    1. Stefan Boettcher & Vijay Singh & Robert M. Ziff, 2012. "Ordinary percolation with discontinuous transitions," Nature Communications, Nature, vol. 3(1), pages 1-5, January.
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