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An all-atom model of proteins is used to show that the same sequence of amino acids can have many alternative structures, that are very distant from, and that can be as stable as, the corresponding native structure. Such alternative…

Biological Physics · Physics 2008-02-11 Leonor Cruzeiro

In order to extend the results obtained with minimal lattice models to more realistic systems, we study a model where proteins are described as a chain of 20 kinds of structureless amino acids moving in a continuum space and interacting…

Biomolecules · Quantitative Biology 2009-11-11 A. Amatori , G. Tiana , L. Sutto , J. Ferkinghoff-Borg , A. Trovato , R. A. Broglia

The understanding, and even the description of protein folding is impeded by the complexity of the process. Much of this complexity can be described and understood by taking a statistical approach to the energetics of protein conformation,…

chem-ph · Physics 2008-02-03 J. D. Bryngelson , J. N. Onuchic , N. D. Socci , P. G. Wolynes

Novel numerical techniques, validated by an analysis of barnase and chymotrypsin inhibitor, are used to elucidate the paramount role played by the geometry of the protein backbone in steering the folding to the correct native state. It is…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

A growing number of experimental evidence shows that it is general for a ligand binding protein to have a potential for allosteric regulation and for further evolution. In addition, such proteins generically change their conformation upon…

Biomolecules · Quantitative Biology 2019-05-09 Anton S. Zadorin

The time evolution of the formation probability of native bonds has been studied for designed sequences which fold fast into the native conformation. From this analysis a clear hierarchy of bonds emerge a) local, fast forming highly stable…

Condensed Matter · Physics 2009-10-31 G. Tiana , R. A. Broglia

We study a large data set of protein structure ensembles of very diverse sizes determined by nuclear magnetic resonance. By examining the distance-dependent correlations in the displacement of residues pairs and conducting finite size…

Biological Physics · Physics 2017-03-01 Qian-Yuan Tang , Yang-Yang Zhang , Jun Wang , Wei Wang , Dante R. Chialvo

We present a solvable model that predicts the folding kinetics of two-state proteins from their native structures. The model is based on conditional chain entropies. It assumes that folding processes are dominated by small-loop closure…

Biomolecules · Quantitative Biology 2007-05-23 Thomas R. Weikl , Matteo Palassini , Ken A. Dill

We propose a protein model based on a hierarchy of constraints that force the protein to follow certain pathways when changing conformation. The model exhibits a first order phase transition, cooperativity and is exactly solvable. It also…

Condensed Matter · Physics 2015-06-25 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

Predicting protein secondary structure using lattice model is one of the most studied computational problem in bioinformatics. Here secondary structure or three dimensional structure of protein is predicted from its amino acid sequence.…

Computational Engineering, Finance, and Science · Computer Science 2014-07-18 Dipan Lal Shaw , M. Sohel Rahman , A. S. M. Sohidull Islam , Shuvasish Karmaker

We present a new lattice model for proteins that incorporates a tube-like anisotropy by introducing a preference for mutually parallel alignments in the conformations. The model is demonstrated to capture many aspects of real proteins.

Biomolecules · Quantitative Biology 2009-11-10 Jayanth R. Banavar , Marek Cieplak , Amos Maritan

Understanding the principles of protein folding is a cornerstone of computational biology, with implications for drug design, bioengineering, and the understanding of fundamental biological processes. Lattice protein folding models offer a…

Disordered Systems and Neural Networks · Physics 2025-08-08 Shoummo Ahsan Khandoker , Estelle M. Inack , Mohamed Hibat-Allah

The possibility is considered for the formation in optical lattices of a heterogeneous state characterized by a spontaneous mesoscopic separation of the system into the spatial regions with different atomic densities. It is shown that such…

Quantum Gases · Physics 2015-06-23 V. I. Yukalov , E. P. Yukalova

We present and implement a distance-based clustering of amino acids within the framework of a statistically derived interaction matrix and show that the resulting groups faithfully reproduce, for well-designed sequences, thermodynamic…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Neal S. Holter , Amos Maritan , Jayanth R. Banavar

The simulation of a protein's folding process is often done via stochastic local search, which requires a procedure to apply structural changes onto a given conformation. Here, we introduce a constraint-based approach to enumerate lattice…

Computational Engineering, Finance, and Science · Computer Science 2009-10-21 Martin Mann , Mohamed Abou Hamra , Kathleen Steinhöfel , Rolf Backofen

How proteins fold remains a central unsolved problem in biology. While the idea of a folding code embedded in the amino acid sequence was introduced more than 6 decades ago, this code remains undefined. While we now have powerful predictive…

Biomolecules · Quantitative Biology 2025-11-04 Carlos Bustamante , Christian Kaiser , Erik Lindahl , Robert Sosa , Giovanni Volpe

The sensitivity of the native states of protein-like heteropolymers to mutations modelled as perturbations in the interaction potential between amino acids is studied. The stability threshold against mutations is shown to be zero for random…

Soft Condensed Matter · Physics 2009-10-30 Michele Vendruscolo , Amos Maritan , Jayanth R. Banavar

Proteins contain a large fraction of regular, repeating conformations, called secondary structure. A simple, generic definition of secondary structure is presented which consists of measuring local correlations along the protein chain.…

Condensed Matter · Physics 2009-10-22 Nicholas D. Socci , William S. Bialek , Jose' Nelson Onuchic

We assume that the protein folding process follows two autonomous steps: the conformational search for the native, mainly ruled by the hydrophobic effect; and, the final adjustment stage, which eventually gives stability to the native. Our…

Biological Physics · Physics 2016-07-27 J. P. Dal Molin , A. Caliri

Lattice protein folding models are a cornerstone of computational biophysics. Although these models are a coarse grained representation, they provide useful insight into the energy landscape of natural proteins. Finding low-energy…

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