Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.

In this paper, we consider the Minimum Reaction Insertion (MRI) problem for finding the minimum number of additional reactions from a reference metabolic network to a host metabolic network so that a target compound becomes producible in the revised host metabolic network in a Boolean model. Althoug...

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Autores principales: Wei Lu, Takeyuki Tamura, Jiangning Song, Tatsuya Akutsu
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Publicado: Public Library of Science (PLoS) 2014
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spelling oai:doaj.org-article:4d242125653f4e2ab3ef0c1e5f75ddd62021-11-18T08:27:05ZInteger programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.1932-620310.1371/journal.pone.0092637https://doaj.org/article/4d242125653f4e2ab3ef0c1e5f75ddd62014-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/24651476/?tool=EBIhttps://doaj.org/toc/1932-6203In this paper, we consider the Minimum Reaction Insertion (MRI) problem for finding the minimum number of additional reactions from a reference metabolic network to a host metabolic network so that a target compound becomes producible in the revised host metabolic network in a Boolean model. Although a similar problem for larger networks is solvable in a flux balance analysis (FBA)-based model, the solution of the FBA-based model tends to include more reactions than that of the Boolean model. However, solving MRI using the Boolean model is computationally more expensive than using the FBA-based model since the Boolean model needs more integer variables. Therefore, in this study, to solve MRI for larger networks in the Boolean model, we have developed an efficient Integer Programming formalization method in which the number of integer variables is reduced by the notion of feedback vertex set and minimal valid assignment. As a result of computer experiments conducted using the data of metabolic networks of E. coli and reference networks downloaded from the Kyoto Encyclopedia of Genes and Genomes (KEGG) database, we have found that the developed method can appropriately solve MRI in the Boolean model and is applicable to large scale-networks for which an exhaustive search does not work. We have also compared the developed method with the existing connectivity-based methods and FBA-based methods, and show the difference between the solutions of our method and the existing methods. A theoretical analysis of MRI is also conducted, and the NP-completeness of MRI is proved in the Boolean model. Our developed software is available at "http://sunflower.kuicr.kyoto-u.ac.jp/~rogi/minRect/minRect.html."Wei LuTakeyuki TamuraJiangning SongTatsuya AkutsuPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 3, p e92637 (2014)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Wei Lu
Takeyuki Tamura
Jiangning Song
Tatsuya Akutsu
Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.
description In this paper, we consider the Minimum Reaction Insertion (MRI) problem for finding the minimum number of additional reactions from a reference metabolic network to a host metabolic network so that a target compound becomes producible in the revised host metabolic network in a Boolean model. Although a similar problem for larger networks is solvable in a flux balance analysis (FBA)-based model, the solution of the FBA-based model tends to include more reactions than that of the Boolean model. However, solving MRI using the Boolean model is computationally more expensive than using the FBA-based model since the Boolean model needs more integer variables. Therefore, in this study, to solve MRI for larger networks in the Boolean model, we have developed an efficient Integer Programming formalization method in which the number of integer variables is reduced by the notion of feedback vertex set and minimal valid assignment. As a result of computer experiments conducted using the data of metabolic networks of E. coli and reference networks downloaded from the Kyoto Encyclopedia of Genes and Genomes (KEGG) database, we have found that the developed method can appropriately solve MRI in the Boolean model and is applicable to large scale-networks for which an exhaustive search does not work. We have also compared the developed method with the existing connectivity-based methods and FBA-based methods, and show the difference between the solutions of our method and the existing methods. A theoretical analysis of MRI is also conducted, and the NP-completeness of MRI is proved in the Boolean model. Our developed software is available at "http://sunflower.kuicr.kyoto-u.ac.jp/~rogi/minRect/minRect.html."
format article
author Wei Lu
Takeyuki Tamura
Jiangning Song
Tatsuya Akutsu
author_facet Wei Lu
Takeyuki Tamura
Jiangning Song
Tatsuya Akutsu
author_sort Wei Lu
title Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.
title_short Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.
title_full Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.
title_fullStr Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.
title_full_unstemmed Integer programming-based method for designing synthetic metabolic networks by Minimum Reaction Insertion in a Boolean model.
title_sort integer programming-based method for designing synthetic metabolic networks by minimum reaction insertion in a boolean model.
publisher Public Library of Science (PLoS)
publishDate 2014
url https://doaj.org/article/4d242125653f4e2ab3ef0c1e5f75ddd6
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