2003
DOI: 10.1093/proeng/gzg011
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On the structural complexity of a protein

Abstract: The determination of the configuration of a protein in three-dimensional (3D) space constitutes one of the major challenges in molecular biology research today. A method consists in choosing a protein structure from a database that minimizes an energy function. First, we model the problem in terms of dynamic programming and show that the determination of the order in which the variables must be considered to minimize the time complexity is an NP-hard problem. Second, we propose a new decomposition algorithm of… Show more

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Cited by 13 publications
(8 citation statements)
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“…For example, the [met]-enkephalin pentapeptide, composed of 75 atoms and having five amino-acids, Tyr-Gly-Gly-Phe-Met, and 22 variable backbone dihedral angles, a number of 10 11 local optima is estimated. Detailed aspects concerning complexity issues are discussed in Crescenzi et al (1998);Calland (2003). This leads to the mention of the Levinthal's paradox (Cyrus Levinthal 1969), which states that, despite the numerous pathways, in vivo molecular folding expands over a time scale magnitude of several milliseconds.…”
Section: Protein Structure Predictionmentioning
confidence: 99%
“…For example, the [met]-enkephalin pentapeptide, composed of 75 atoms and having five amino-acids, Tyr-Gly-Gly-Phe-Met, and 22 variable backbone dihedral angles, a number of 10 11 local optima is estimated. Detailed aspects concerning complexity issues are discussed in Crescenzi et al (1998);Calland (2003). This leads to the mention of the Levinthal's paradox (Cyrus Levinthal 1969), which states that, despite the numerous pathways, in vivo molecular folding expands over a time scale magnitude of several milliseconds.…”
Section: Protein Structure Predictionmentioning
confidence: 99%
“…For example, for the [met]-enkephalin pentapeptide, composed of 75 atoms and having five amino-acids, Tyr-Gly-Gly-PheMet, and 22 variable backbone dihedral angles, a number of 10 11 local optima is estimated. Detailed aspects concerning complexity matters were discussed in [25] [26], leading to the mention of the Levinthal's paradox [7] which states that, despite numerous pathways, in vivo molecular folding for example, has a time scale magnitude of several milliseconds. Notes on molecular structure prediction complexity may be found in [24].…”
Section: Introductionmentioning
confidence: 99%
“…The reason why side-chain information has not been used before during the backbone threading process is obviously due to the belief that the problem is computationally too intractable to be practically useful. Clearly, our generalized threading problem is NP-hard because both backbone threading and side-chain packing prediction are its special cases, respectively, and both have been shown to be NP-hard [27], [28]. Despite all this, we still attempt to develop a rigorous and sufficiently fast algorithm for generalized protein threading, by taking advantage of the special properties of the generalized threading problem.…”
Section: Introductionmentioning
confidence: 99%