Majority rules with random tie-breaking in Boolean gene regulatory networks.

We consider threshold boolean gene regulatory networks, where the update function of each gene is described as a majority rule evaluated among the regulators of that gene: it is turned ON when the sum of its regulator contributions is positive (activators contribute positively whereas repressors con...

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Autores principales: Claudine Chaouiya, Ouerdia Ourrad, Ricardo Lima
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Publicado: Public Library of Science (PLoS) 2013
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Acceso en línea:https://doaj.org/article/6279e382280149e2a2de756b27e09a07
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spelling oai:doaj.org-article:6279e382280149e2a2de756b27e09a072021-11-18T09:02:43ZMajority rules with random tie-breaking in Boolean gene regulatory networks.1932-620310.1371/journal.pone.0069626https://doaj.org/article/6279e382280149e2a2de756b27e09a072013-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23922761/pdf/?tool=EBIhttps://doaj.org/toc/1932-6203We consider threshold boolean gene regulatory networks, where the update function of each gene is described as a majority rule evaluated among the regulators of that gene: it is turned ON when the sum of its regulator contributions is positive (activators contribute positively whereas repressors contribute negatively) and turned OFF when this sum is negative. In case of a tie (when contributions cancel each other out), it is often assumed that the gene keeps it current state. This framework has been successfully used to model cell cycle control in yeast. Moreover, several studies consider stochastic extensions to assess the robustness of such a model. Here, we introduce a novel, natural stochastic extension of the majority rule. It consists in randomly choosing the next value of a gene only in case of a tie. Hence, the resulting model includes deterministic and probabilistic updates. We present variants of the majority rule, including alternate treatments of the tie situation. Impact of these variants on the corresponding dynamical behaviours is discussed. After a thorough study of a class of two-node networks, we illustrate the interest of our stochastic extension using a published cell cycle model. In particular, we demonstrate that steady state analysis can be rigorously performed and can lead to effective predictions; these relate for example to the identification of interactions whose addition would ensure that a specific state is absorbing.Claudine ChaouiyaOuerdia OurradRicardo LimaPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 8, Iss 7, p e69626 (2013)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Claudine Chaouiya
Ouerdia Ourrad
Ricardo Lima
Majority rules with random tie-breaking in Boolean gene regulatory networks.
description We consider threshold boolean gene regulatory networks, where the update function of each gene is described as a majority rule evaluated among the regulators of that gene: it is turned ON when the sum of its regulator contributions is positive (activators contribute positively whereas repressors contribute negatively) and turned OFF when this sum is negative. In case of a tie (when contributions cancel each other out), it is often assumed that the gene keeps it current state. This framework has been successfully used to model cell cycle control in yeast. Moreover, several studies consider stochastic extensions to assess the robustness of such a model. Here, we introduce a novel, natural stochastic extension of the majority rule. It consists in randomly choosing the next value of a gene only in case of a tie. Hence, the resulting model includes deterministic and probabilistic updates. We present variants of the majority rule, including alternate treatments of the tie situation. Impact of these variants on the corresponding dynamical behaviours is discussed. After a thorough study of a class of two-node networks, we illustrate the interest of our stochastic extension using a published cell cycle model. In particular, we demonstrate that steady state analysis can be rigorously performed and can lead to effective predictions; these relate for example to the identification of interactions whose addition would ensure that a specific state is absorbing.
format article
author Claudine Chaouiya
Ouerdia Ourrad
Ricardo Lima
author_facet Claudine Chaouiya
Ouerdia Ourrad
Ricardo Lima
author_sort Claudine Chaouiya
title Majority rules with random tie-breaking in Boolean gene regulatory networks.
title_short Majority rules with random tie-breaking in Boolean gene regulatory networks.
title_full Majority rules with random tie-breaking in Boolean gene regulatory networks.
title_fullStr Majority rules with random tie-breaking in Boolean gene regulatory networks.
title_full_unstemmed Majority rules with random tie-breaking in Boolean gene regulatory networks.
title_sort majority rules with random tie-breaking in boolean gene regulatory networks.
publisher Public Library of Science (PLoS)
publishDate 2013
url https://doaj.org/article/6279e382280149e2a2de756b27e09a07
work_keys_str_mv AT claudinechaouiya majorityruleswithrandomtiebreakinginbooleangeneregulatorynetworks
AT ouerdiaourrad majorityruleswithrandomtiebreakinginbooleangeneregulatorynetworks
AT ricardolima majorityruleswithrandomtiebreakinginbooleangeneregulatorynetworks
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