A method for validating Rent’s rule for technological and biological networks

Abstract Rent’s rule is empirical power law introduced in an effort to describe and optimize the wiring complexity of computer logic graphs. It is known that brain and neuronal networks also obey Rent’s rule, which is consistent with the idea that wiring costs play a fundamental role in brain evolut...

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Autores principales:	Fernando Alcalde Cuesta, Pablo González Sequeiros, Álvaro Lozano Rojo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7e963fe7dff3481986bb55ff2520b715
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spelling	oai:doaj.org-article:7e963fe7dff3481986bb55ff2520b7152021-12-02T11:40:45ZA method for validating Rent’s rule for technological and biological networks10.1038/s41598-017-05670-w2045-2322https://doaj.org/article/7e963fe7dff3481986bb55ff2520b7152017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-05670-whttps://doaj.org/toc/2045-2322Abstract Rent’s rule is empirical power law introduced in an effort to describe and optimize the wiring complexity of computer logic graphs. It is known that brain and neuronal networks also obey Rent’s rule, which is consistent with the idea that wiring costs play a fundamental role in brain evolution and development. Here we propose a method to validate this power law for a certain range of network partitions. This method is based on the bifurcation phenomenon that appears when the network is subjected to random alterations preserving its degree distribution. It has been tested on a set of VLSI circuits and real networks, including biological and technological ones. We also analyzed the effect of different types of random alterations on the Rentian scaling in order to test the influence of the degree distribution. There are network architectures quite sensitive to these randomization procedures with significant increases in the values of the Rent exponents.Fernando Alcalde CuestaPablo González SequeirosÁlvaro Lozano RojoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Fernando Alcalde Cuesta Pablo González Sequeiros Álvaro Lozano Rojo A method for validating Rent’s rule for technological and biological networks
description	Abstract Rent’s rule is empirical power law introduced in an effort to describe and optimize the wiring complexity of computer logic graphs. It is known that brain and neuronal networks also obey Rent’s rule, which is consistent with the idea that wiring costs play a fundamental role in brain evolution and development. Here we propose a method to validate this power law for a certain range of network partitions. This method is based on the bifurcation phenomenon that appears when the network is subjected to random alterations preserving its degree distribution. It has been tested on a set of VLSI circuits and real networks, including biological and technological ones. We also analyzed the effect of different types of random alterations on the Rentian scaling in order to test the influence of the degree distribution. There are network architectures quite sensitive to these randomization procedures with significant increases in the values of the Rent exponents.
format	article
author	Fernando Alcalde Cuesta Pablo González Sequeiros Álvaro Lozano Rojo
author_facet	Fernando Alcalde Cuesta Pablo González Sequeiros Álvaro Lozano Rojo
author_sort	Fernando Alcalde Cuesta
title	A method for validating Rent’s rule for technological and biological networks
title_short	A method for validating Rent’s rule for technological and biological networks
title_full	A method for validating Rent’s rule for technological and biological networks
title_fullStr	A method for validating Rent’s rule for technological and biological networks
title_full_unstemmed	A method for validating Rent’s rule for technological and biological networks
title_sort	method for validating rent’s rule for technological and biological networks
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/7e963fe7dff3481986bb55ff2520b715
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A method for validating Rent’s rule for technological and biological networks

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