Percolation in networks with local homeostatic plasticity

Giacomo Rapisardi, Ivan Kryven and Alex Arenas ()
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Giacomo Rapisardi: Universitat Rovira i Virgili
Ivan Kryven: Mathematical Institute, Utrecht University
Alex Arenas: Universitat Rovira i Virgili

Nature Communications, 2022, vol. 13, issue 1, 1-9

Abstract: 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.

Date: 2022
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DOI: 10.1038/s41467-021-27736-0

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