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How to derive a protein folding potential? a new approach to an old problem (1996)

by L A Mirny, E I Shakhnovich
Venue:J Mol Biol
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The pairwise energy content estimated from amino acid composition discriminates between folded and intrinsically unstructured proteins

by Zsuzsanna Dosztányi, Veronika Csizmók, Péter Tompa, István Simon - J. Mol. Biol , 2005
"... Intrinsically unstructured/disordered proteins/ domains (IUPs), such as p21, 1 the N-terminal domain of p53 2 or the transactivator domain of CREB, 3 exist in a largely disordered structural state, ..."
Abstract - Cited by 114 (14 self) - Add to MetaCart
Intrinsically unstructured/disordered proteins/ domains (IUPs), such as p21, 1 the N-terminal domain of p53 2 or the transactivator domain of CREB, 3 exist in a largely disordered structural state,

A distance-dependent atomic knowledge-based potential for improved protein structure selection, Proteins 44:223–232

by Hui Lu, Jeffrey Skolnick , 2001
"... ABSTRACT A heavy atom distance-dependent knowledge-based pairwise potential has been devel-oped. This statistical potential is first evaluated and optimized with the native structure z-scores from gapless threading. The potential is then used to recognize the native and near-native structures from b ..."
Abstract - Cited by 83 (1 self) - Add to MetaCart
ABSTRACT A heavy atom distance-dependent knowledge-based pairwise potential has been devel-oped. This statistical potential is first evaluated and optimized with the native structure z-scores from gapless threading. The potential is then used to recognize the native and near-native structures from both published decoy test sets, as well as decoys obtained from our group’s protein structure prediction program. In the gapless threading test, there is an average z-score improvement of 4 units in the optimized atomic potential over the residue-based quasichemical potential. Examination of the z-scores for individual pairwise distance shells indi-cates that the specificity for the native protein structure is greatest at pairwise distances of 3.5–6.5 Å, i.e., in the first solvation shell. On applying the current atomic potential to test sets obtained from the web, composed of native protein and decoy structures, the current generation of the potential performs better than residue-based potentials as well as the other published atomic potentials in the task of selecting native and near-native structures. This newly developed potential is also applied to structures of varying quality generated by our group’s protein structure prediction program. The current atomic potential tends to pick lower RMSD structures than do residue-based contact potentials. In particular, this atomic pairwise interaction poten-tial has better selectivity especially for near-native structures. As such, it can be used to select near-native folds generated by structure prediction algo-rithms as well as for protein structure refinement.
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...ls in all 16 cases. On average, the atomic potential has a z-score of 4.1 units better than residue-based potentials, where the z-score of the native structure is defined as: z 5 Eaverage 2 Enative s =-=(3)-=- where Eaverage and s are the mean and standard deviation of the energies of all the structures generated by gapless threading. In order to check the distance-related performance in the gapless thread...

Testing a New Monte Carlo Algorithm for Protein Folding

by Ugo Bastolla , Helge Frauenkron, Erwin Gerstner, Peter Grassberger, Walter Nadler - PROTEINS 31:52--66, 1998. R 1998 WILEY-LISS, INC. , 1998
"... We demonstrate that the recently proposed pruned-enriched Rosenbluth method (PERM) (Grassberger, Phys. Rev. E 56:3682, 1997) leads to extremely efficient algorithms for the folding of simple model proteins. We test it on several models for lattice heteropolymers, and compare it to published Monte Ca ..."
Abstract - Cited by 30 (2 self) - Add to MetaCart
We demonstrate that the recently proposed pruned-enriched Rosenbluth method (PERM) (Grassberger, Phys. Rev. E 56:3682, 1997) leads to extremely efficient algorithms for the folding of simple model proteins. We test it on several models for lattice heteropolymers, and compare it to published Monte Carlo studies of the properties of particular sequences. In all cases our method is faster than the previous ones, and in several cases we find new minimal energy states. In addition to producing more reliable candidates for ground states, our method gives detailed information about the thermal spectrum and thus allows one to analyze thermodynamic aspects of the folding behavior of arbitrary sequences.

Protein design: a perspective from simple tractable models

by Eugene I Shakhnovich - Design , 1998
"... Recent progress in computational approaches to protein design builds on advances in statistical mechanical protein folding theory. Here, the number of sequences folding into a given conformation is evaluated and a simple condition for a protein model’s designability is outlined. ..."
Abstract - Cited by 25 (0 self) - Add to MetaCart
Recent progress in computational approaches to protein design builds on advances in statistical mechanical protein folding theory. Here, the number of sequences folding into a given conformation is evaluated and a simple condition for a protein model’s designability is outlined.
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...pes of amino acid so σi = 1...20. The parameters U(σi ,σj ) determine the magnitude of the contact interaction between monomers of type σi and σj ; several sets of such parameters have been published =-=[22,23, 26,27]-=-. A simple approximation of the conformation of a chain uses residue representation: a residue i is assigned a one-point location variable ri (it can be a geometrical center of the sidechain or a coor...

Developing Optimal Nonlinear Scoring Function for Protein Design

by Changyu Hu, Xiang Li, Jie Liang - Bioinformatics , 2004
"... Motivation. Protein design aims to identify sequences compatible with a given protein fold but incompatible to any alternative folds. To select the correct sequences and to guide the search process, a design scoring function is critically important. Such a scoring function should be able to characte ..."
Abstract - Cited by 18 (11 self) - Add to MetaCart
Motivation. Protein design aims to identify sequences compatible with a given protein fold but incompatible to any alternative folds. To select the correct sequences and to guide the search process, a design scoring function is critically important. Such a scoring function should be able to characterize the global fitness landscape of many proteins simultaneously.
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... and the average of decoys, or score gap between native and decoys with lowest score, or the z-score of the native protein (Goldstein et al., 1992; Koretke et al., 1996, 1998; Hao and Scheraga, 1996; =-=Mirny and Shakhnovich, 1996-=-). In this work, we study a simplified version of the protein design problem. Our goal is to develop a globally applicable scoring function for characterizng the fintness landscape of many proteins si...

Brunak S: Using sequence motifs for enhanced neural network prediction of protein distance constraints

by Jan Gorodkin , Ole Lund , Claus A Andersen , Søren Brunak - In Proceedings of the Seventh International Conference on Intelligent Systems for Molecular Biology (ISMB99). La Jolla, CA: AAAI Press, Menlo Park, CA , 1999
"... Abstract Correlations between sequence separation (in residues) and distance (in Angstrom) of any pair of amino acids in polypeptide chains are investigated. For each sequence separation we define a distance threshold. For pairs of amino acids where the distance between C α atoms is smaller than th ..."
Abstract - Cited by 17 (5 self) - Add to MetaCart
Abstract Correlations between sequence separation (in residues) and distance (in Angstrom) of any pair of amino acids in polypeptide chains are investigated. For each sequence separation we define a distance threshold. For pairs of amino acids where the distance between C α atoms is smaller than the threshold, a characteristic sequence (logo) motif, is found. The motifs change as the sequence separation increases: for small separations they consist of one peak located in between the two residues, then additional peaks at these residues appear, and finally the center peak smears out for very large separations. We also find correlations between the residues in the center of the motif. This and other statistical analyses are used to design neural networks with enhanced performance compared to earlier work. Importantly, the statistical analysis explains why neural networks perform better than simple statistical data-driven approaches such as pair probability density functions. The statistical results also explain characteristics of the network performance for increasing sequence separation. The improvement of the new network design is significant in the sequence separation range 10-30 residues. Finally, we find that the performance curve for increasing sequence separation is directly correlated to the corresponding information content. A WWW server, distanceP, is available at http://www.cbs.dtu.dk/services/distanceP/.
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...d mutations, and more lately neural networks, or combinations of these e.g. (Tanaka & Scheraga 1976; Miyazawa & Jernigan 1985; Bohr et al. 1990; Sippl 1990; Maiorov & Crippen 1992; Göbel et al. 1994; =-=Mirny & Shaknovich 1996-=-; Thomas, Casari, & Sander 1996; Lund et al. 1997; Olmea & Valencia 1997; Skolnick, Kolinski, & Ortiz 1997; Present address: Structural Bioinformatics Advanced Tech¢ nologies A/S, Agern Alle 3, DK-297...

Optimizing Energy Potentials for Success in Protein Tertiary Structure Prediction

by Ting-lan Chiu, Richard A Goldstein , 1998
"... ..."
Abstract - Cited by 16 (0 self) - Add to MetaCart
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Protein Structure Prediction by Threading. - Why it Works and Why it Does Not

by Leonid A. Mirny, Eugene I. Shakhnovich - J. Mol. Biol , 1998
"... the quality of potentials used. These results are rationalized in terms of a threading free energy landscape. Possible ways to overcome the fundamental limitations of threading are discussed briey. # 1998 Academic Press Keywords: threading; Monte Carlo procedure; protein structure prediction *Corr ..."
Abstract - Cited by 15 (1 self) - Add to MetaCart
the quality of potentials used. These results are rationalized in terms of a threading free energy landscape. Possible ways to overcome the fundamental limitations of threading are discussed briey. # 1998 Academic Press Keywords: threading; Monte Carlo procedure; protein structure prediction *Corresponding author Introduction The problem of predicting protein conformation from sequences is of great importance and has drawn a lot of attention recently (see e.g. Moult et al., 1997; Shakhnovich, 1997a; Finkelstein, 1997; Jones, 1997; Levitt, 1997) with hundreds of papers from dozens of groups. A most desirable solution to the problem is to nd a model and an algorithm that stimulate folding of a protein pretty much in a way that mimics natural protein folding and converges to the native conformation. While some success along these lines has been documented (Kolinski & Skolnick, 1994), this approach encounters a number of serious technical difculties, making ab initio structure predict
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...approach encounters a number of serious technical difficulties, making ab initio structure prediction hardly feasible now and perhaps in the foreseeable future (Finkelstein, 1997; Ortiz et al., 1998; =-=Mirny & Shakhnovich, 1996-=-). The main reason for such a reclusion was discussed by Shakhnovich (1997a), Finkelstein (1997) and Mirny & Shakhnovich (1996): a ‘‘good’’ folding model must be detailed enough to reproduce energetic...

Ab-initio Folding of a Diverse Set of Proteins

by J S Yang, W W Chen, J Skolnick, Shankhnovich, E I Allatom - Structure
"... ..."
Abstract - Cited by 11 (1 self) - Add to MetaCart
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...tive states of proteins. This assertion was confirmed by comparing various potentials for real proteins (Chen and Shakhnovich, 2005). Further analysis of the µ-potential derivation used the approach (=-=Mirny and Shakhnovich, 1996-=-) where a toy database of lattice proteins was designed and the µ-potential prescription was used to derive potentials from the database and compare them with “true” input potentials. The results (Dee...

Using genome-wide measurements for computational prediction of SH2-peptide interactions

by Citation Wunderlich, Citable Link, Zeba Wunderlich, Leonid A. Mirny - Nucleic Acids Res , 2009
"... (Article begins on next page) The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters. ..."
Abstract - Cited by 5 (0 self) - Add to MetaCart
(Article begins on next page) The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters.
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...tures. For the hybrid contact map, 7/10 of the contacts were identical. Optimization of energy potential To optimize the energy potential given an interaction map, we adapt the procedure presented in =-=(43)-=-. In Equations (1)–(3), we describe our basic energy model. Here, for brevity, let us assume the calculated energy of a domain–peptide pair can be written, as in Equation (3), as: E d u: We assume...

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