A note on the complexity of finding and enumerating elementary modes

被引:36
作者
Acuna, Vicente [1 ,2 ,3 ]
Marchetti-Spaccamela, Alberto [4 ]
Sagot, Marie-France [1 ,2 ,3 ]
Stougie, Leen [5 ,6 ]
机构
[1] Univ Lyon, F-69000 Lyon, France
[2] Univ Lyon 1, CNRS, UMR5558, Lab Biometrie & Biol Evolut, F-69622 Villeurbanne, France
[3] INRIA Rhone Alpes, F-38330 Montbonnot St Martin, France
[4] Univ Roma La Sapienza, I-00184 Rome, Italy
[5] Vrije Univ Amsterdam, NL-1081 HV Amsterdam, Netherlands
[6] Ctr Wiskunde & Informat, NL-1098 SJ Amsterdam, Netherlands
基金
英国生物技术与生命科学研究理事会;
关键词
Metabolic networks; Computational complexity; Elementary modes; Enumeration; GENOME-SCALE MODEL; METABOLIC NETWORKS; STRATEGIES; ALGORITHM; SYSTEMS;
D O I
10.1016/j.biosystems.2009.11.004
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In the context of the study into elementary modes of metabolic networks, we prove two complexity results. Enumerating elementary modes containing a specific reaction is hard in an enumeration complexity sense. The decision problem if there exists an elementary mode containing two specific reactions is NP-complete. The complexity of enumerating all elementary modes remains open. (C) 2009 Elsevier Ireland Ltd. All rights reserved.
引用
收藏
页码:210 / 214
页数:5
相关论文
共 25 条
[1]   Modes and cuts in metabolic networks: Complexity and algorithms [J].
Acuna, Vicente ;
Chierichetti, Flavio ;
Lacroix, Vincent ;
Marchetti-Spaccamela, Alberto ;
Sagot, Marie-France ;
Stougie, Leen .
BIOSYSTEMS, 2009, 95 (01) :51-60
[2]   Quantitative prediction of cellular metabolism with constraint-based models: the COBRA Toolbox [J].
Becker, Scott A. ;
Feist, Adam M. ;
Mo, Monica L. ;
Hannum, Gregory ;
Palsson, Bernhard O. ;
Herrgard, Markus J. .
NATURE PROTOCOLS, 2007, 2 (03) :727-738
[3]   ALGORITHM FOR DETERMINING ALL EXTREME POINTS OF A CONVEX POLYTOPE [J].
DYER, ME ;
PROLL, LG .
MATHEMATICAL PROGRAMMING, 1977, 12 (01) :81-96
[4]   THE COMPLEXITY OF VERTEX ENUMERATION METHODS [J].
DYER, ME .
MATHEMATICS OF OPERATIONS RESEARCH, 1983, 8 (03) :381-402
[5]   ON GENERATING ALL MAXIMAL INDEPENDENT SETS [J].
JOHNSON, DS ;
YANNAKAKIS, M ;
PAPADIMITRIOU, CH .
INFORMATION PROCESSING LETTERS, 1988, 27 (03) :119-123
[6]   Generating all vertices of a polyhedron is hard [J].
Khachiyan, Leonid ;
Boros, Endre ;
Borys, Konrad ;
Elbassioni, Khaled ;
Gurvich, Vladimir .
DISCRETE & COMPUTATIONAL GEOMETRY, 2008, 39 (1-3) :174-190
[7]   A new constraint-based description of the steady-state flux cone of metabolic networks [J].
Larhlimi, Abdelhalim ;
Bockmayr, Alexander .
DISCRETE APPLIED MATHEMATICS, 2009, 157 (10) :2257-2266
[8]  
Motzkin T.S., 1953, Contributions to the Theory of Games - Volume II, P51
[9]  
Nielsen J, 1998, BIOTECHNOL BIOENG, V58, P125, DOI 10.1002/(SICI)1097-0290(19980420)58:2/3<125::AID-BIT3>3.0.CO
[10]  
2-N