2020
DOI: 10.3390/biom10020250
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Solution of Levinthal’s Paradox and a Physical Theory of Protein Folding Times

Abstract: “How do proteins fold?” Researchers have been studying different aspects of this question for more than 50 years. The most conceptual aspect of the problem is how protein can find the global free energy minimum in a biologically reasonable time, without exhaustive enumeration of all possible conformations, the so-called “Levinthal’s paradox.” Less conceptual but still critical are aspects about factors defining folding times of particular proteins and about perspectives of machine learning for their prediction… Show more

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Cited by 27 publications
(30 citation statements)
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“…Theories developed for the prediction of protein folding nuclei, experimentally studied by Alan Fersht [182] and others that one can find in [183][184][185][186][187][188][189][190][191][192][193], and a more detailed theoretical consideration of folding times for proteins of different sizes, chain folds, and stabilities, are given in [176,181,[194][195][196][197]. A limited-influence chain knotting and the SS-bonds in the single-domain proteins on the folding rate were estimated in [173,187], and the influence of the native structure stability on the folding rate was estimated in [176] (see also [198]).…”
Section: Kinetics Of the "Unfolded Chain ↔ Native State" Transitionsmentioning
confidence: 99%
“…Theories developed for the prediction of protein folding nuclei, experimentally studied by Alan Fersht [182] and others that one can find in [183][184][185][186][187][188][189][190][191][192][193], and a more detailed theoretical consideration of folding times for proteins of different sizes, chain folds, and stabilities, are given in [176,181,[194][195][196][197]. A limited-influence chain knotting and the SS-bonds in the single-domain proteins on the folding rate were estimated in [173,187], and the influence of the native structure stability on the folding rate was estimated in [176] (see also [198]).…”
Section: Kinetics Of the "Unfolded Chain ↔ Native State" Transitionsmentioning
confidence: 99%
“…The problem of protein folding has been described with reference to the Levinthal paradox, in which the initial unfolded state is assumed to be a random coil, and hence, there may exist an astronomically large number of conformations, inaccessible in a reasonable time by a random search, at the beginning of the folding reactions [137][138][139]. Solving the Levinthal paradox is a fundamental problem in folding studies [140][141][142][143][144][145][146]. The presence of the residual structure, if any, in the unfolded state thus invalidates the Levinthal paradox, because such residual structure may form a folding initiation site and guide the subsequent folding reactions.…”
Section: A Case Study: Unfolded Ubiquitin In 6 M Gdmclmentioning
confidence: 99%
“…Discussions about the relationship between the primary structure of a protein and the emergence of a native protein conformation have been going on for many decades. The initial ideas that the polypeptide chain should take a strictly defined conformation, which corresponds to the global minimum of the Gibbs free energy, began to be criticized [ 94 , 95 , 96 , 97 , 98 ].…”
Section: Mechanisms Of the Formation Of Misfolded Proteinsmentioning
confidence: 99%