Maximizing local information transfer in Boolean networks

We study a Boolean network model such that rules governing the time evolution of states are not given a priori but emerge from the maximization process of local information transfer and are stabilized if possible. We mathematically derive the class of rules that can be stabilized. With the presence...

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Main Authors: T Haruna, K Nakajima
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aadbc3
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author T Haruna
K Nakajima
author_facet T Haruna
K Nakajima
author_sort T Haruna
collection DOAJ
description We study a Boolean network model such that rules governing the time evolution of states are not given a priori but emerge from the maximization process of local information transfer and are stabilized if possible. We mathematically derive the class of rules that can be stabilized. With the presence of small noise, those stabilized are such that their output depends on a unique input. We confirm the prediction of the theory by numerical simulation. We argue that the stabilized rules have generic properties of real-world gene regulatory networks, being both critical and highly canalized.
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spelling doaj.art-3380b581d493475788254bc342c913412023-08-08T14:53:35ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120808304610.1088/1367-2630/aadbc3Maximizing local information transfer in Boolean networksT Haruna0K Nakajima1https://orcid.org/0000-0001-5589-4054Department of Information and Sciences, Tokyo Woman’s Christian University , 2-6-1 Zempukuji, Suginami-ku, Tokyo 167-8585, JapanGraduate School of Information Science and Technology, The University of Tokyo , Bunkyo-ku, Tokyo 113-8656, Japan; PRESTO, Japan Science and Technology Agency (JST) , 4-1-8 Honcho Kawaguchi, Saitama, JapanWe study a Boolean network model such that rules governing the time evolution of states are not given a priori but emerge from the maximization process of local information transfer and are stabilized if possible. We mathematically derive the class of rules that can be stabilized. With the presence of small noise, those stabilized are such that their output depends on a unique input. We confirm the prediction of the theory by numerical simulation. We argue that the stabilized rules have generic properties of real-world gene regulatory networks, being both critical and highly canalized.https://doi.org/10.1088/1367-2630/aadbc3mutual informationBayesian inferencegene regulatory networkscanalizationcriticality
spellingShingle T Haruna
K Nakajima
Maximizing local information transfer in Boolean networks
New Journal of Physics
mutual information
Bayesian inference
gene regulatory networks
canalization
criticality
title Maximizing local information transfer in Boolean networks
title_full Maximizing local information transfer in Boolean networks
title_fullStr Maximizing local information transfer in Boolean networks
title_full_unstemmed Maximizing local information transfer in Boolean networks
title_short Maximizing local information transfer in Boolean networks
title_sort maximizing local information transfer in boolean networks
topic mutual information
Bayesian inference
gene regulatory networks
canalization
criticality
url https://doi.org/10.1088/1367-2630/aadbc3
work_keys_str_mv AT tharuna maximizinglocalinformationtransferinbooleannetworks
AT knakajima maximizinglocalinformationtransferinbooleannetworks