Wired for sex

Portman, Douglas S.

doi:10.1038/nature17898

Cited by 1 publication

(1 citation statement)

References 12 publications

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“…A common feature of these complex systems is that they are developing by means of the addition of directed edges and vertices while diseases, injuries, random or targeted damages lead to the degradation of the network structure due to pruning of edges or vertices. For example, in the brain, neurogenesis (the creation of new nerve cells) and the formation of new synaptic connections, as well as the opposite process -pruning of synapses or neurons, are important mechanisms for the brain development [2,10], learning and memory [11,12], and sex-specific circuit development [13,14], and for other brain functions. In contrast to neurogenesis, neurodegenerative diseases are accompanied by the loss of neurons or synapses and degradation of the brain networks [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of directed networks to the addition and pruning of edges and vertices

2017

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We study the sensitivity of directed complex networks to the addition and pruning of edges and vertices and introduce the susceptibility, which quantifies this sensitivity. We show that topologically different parts of a directed network have different sensitivity to the addition and pruning of edges and vertices and, therefore, they are characterized by different susceptibilities. These susceptibilities diverge at the critical point of the directed percolation transition, signaling the appearance (or disappearance) of the giant strongly connected component in the infinite size limit. We demonstrate this behavior in randomly damaged real and synthetic directed complex networks, such as the World Wide Web, Twitter, the Caenorhabditis elegans neural network, directed Erdős-Rényi graphs, and others. We reveal a non-monotonous dependence of the sensitivity to random pruning of edges or vertices in the case of Caenorhabditis elegans and Twitter that manifests specific structural peculiarities of these networks. We propose the measurements of the susceptibilities during the addition or pruning of edges and vertices as a new method for studying structural peculiarities of directed networks.

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