Network Completion Using Dynamic Programming and Least-Squares Fitting

We consider the problem of network completion, which is to make the minimum amount of modifications to a given network so that the resulting network is most consistent with the observed data. We employ here a certain type of differential equations as gene regulation rules in a genetic network, gene...

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Main Authors: Natsu Nakajima, Takeyuki Tamura, Yoshihiro Yamanishi, Katsuhisa Horimoto, Tatsuya Akutsu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1100/2012/957620
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author Natsu Nakajima
Takeyuki Tamura
Yoshihiro Yamanishi
Katsuhisa Horimoto
Tatsuya Akutsu
author_facet Natsu Nakajima
Takeyuki Tamura
Yoshihiro Yamanishi
Katsuhisa Horimoto
Tatsuya Akutsu
author_sort Natsu Nakajima
collection DOAJ
description We consider the problem of network completion, which is to make the minimum amount of modifications to a given network so that the resulting network is most consistent with the observed data. We employ here a certain type of differential equations as gene regulation rules in a genetic network, gene expression time series data as observed data, and deletions and additions of edges as basic modification operations. In addition, we assume that the numbers of deleted and added edges are specified. For this problem, we present a novel method using dynamic programming and least-squares fitting and show that it outputs a network with the minimum sum squared error in polynomial time if the maximum indegree of the network is bounded by a constant. We also perform computational experiments using both artificially generated and real gene expression time series data.
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publishDate 2012-01-01
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spelling doaj-art-09900602e2ec4e15829b1896621f4bdf2025-08-20T03:55:29ZengWileyThe Scientific World Journal1537-744X2012-01-01201210.1100/2012/957620957620Network Completion Using Dynamic Programming and Least-Squares FittingNatsu Nakajima0Takeyuki Tamura1Yoshihiro Yamanishi2Katsuhisa Horimoto3Tatsuya Akutsu4Bioinformatics Center, Institute for Chemical Research, Kyoto University Gokasho, Uji, Kyoto 611-0011, JapanBioinformatics Center, Institute for Chemical Research, Kyoto University Gokasho, Uji, Kyoto 611-0011, JapanDivision of System Cohort, Multi-scale Research Center for Medical Science, Medical Institute of Bioregulation, Kyushu University, 3-1-1 Maidashi, Higashi-ku, Fukuoka, Fukuoka 812-8582, JapanComputational Biology Research Center, National Institute of Advanced Industrial Science and Technology, 2-4-7 Aomi, Koto-ku, Tokyo 135-0064, JapanBioinformatics Center, Institute for Chemical Research, Kyoto University Gokasho, Uji, Kyoto 611-0011, JapanWe consider the problem of network completion, which is to make the minimum amount of modifications to a given network so that the resulting network is most consistent with the observed data. We employ here a certain type of differential equations as gene regulation rules in a genetic network, gene expression time series data as observed data, and deletions and additions of edges as basic modification operations. In addition, we assume that the numbers of deleted and added edges are specified. For this problem, we present a novel method using dynamic programming and least-squares fitting and show that it outputs a network with the minimum sum squared error in polynomial time if the maximum indegree of the network is bounded by a constant. We also perform computational experiments using both artificially generated and real gene expression time series data.http://dx.doi.org/10.1100/2012/957620
spellingShingle Natsu Nakajima
Takeyuki Tamura
Yoshihiro Yamanishi
Katsuhisa Horimoto
Tatsuya Akutsu
Network Completion Using Dynamic Programming and Least-Squares Fitting
The Scientific World Journal
title Network Completion Using Dynamic Programming and Least-Squares Fitting
title_full Network Completion Using Dynamic Programming and Least-Squares Fitting
title_fullStr Network Completion Using Dynamic Programming and Least-Squares Fitting
title_full_unstemmed Network Completion Using Dynamic Programming and Least-Squares Fitting
title_short Network Completion Using Dynamic Programming and Least-Squares Fitting
title_sort network completion using dynamic programming and least squares fitting
url http://dx.doi.org/10.1100/2012/957620
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