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Folding channels and free-energy landscapes of hydrophobic-polar heteropolymers are discussed on the basis of a minimalistic off-lattice coarse-grained model. We investigate how rearrangements of hydrophobic and polar monomers in a…

Soft Condensed Matter · Physics 2009-11-13 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

Lattice-model simulations and experiments of some small proteins suggest that folding is essentially controlled by a few conserved contacts. Residues of these conserved contacts form the minimum set of native contacts needed to ensure…

Biomolecules · Quantitative Biology 2011-09-14 Wei-Mou Zheng , Hui Zeng , Dong-Bo Bu , Ming-Fu Shao , Ke-Song Liu , Chao Wang

We present results of Monte Carlo computer simulations of a coarse-grained hydrophobic-polar Go-like heteropolymer model and discuss thermodynamic properties and kinetics of an exemplified heteropolymer, exhibiting two-state folding…

Soft Condensed Matter · Physics 2009-11-13 Anna Kallias , Michael Bachmann , Wolfhard Janke

Geometrical properties of protein ground states are studied using an algebraic approach. It is shown that independent from inter-monomer interactions, the collection of ground state candidates for any folded protein is unexpectedly small:…

Soft Condensed Matter · Physics 2009-10-31 M. R. Ejtehadi , N. Hamedani , V. Shahrezaei

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…

A protein is a linear chain containing a set of amino acids, which folds on itself to create a specific native structure, also called the minimum energy conformation. It is the native structure that determines the functionality of each…

Biomolecules · Quantitative Biology 2021-05-28 Nabil Boumedine , Sadek Bouroubi

De novo protein structure prediction from amino acid sequence is one of the most challenging problems in computational biology. As one of the extensively explored mathematical models for protein folding, Hydrophobic-Polar (HP) model enables…

Machine Learning · Computer Science 2018-12-06 Yanjun Li , Hengtong Kang , Ketian Ye , Shuyu Yin , Xiaolin Li

Exploring and understanding the protein-folding problem has been a long-standing challenge in molecular biology. Here, using molecular dynamics simulation, we reveal how parallel distributed adjacent planar peptide groups of unfolded…

Biomolecules · Quantitative Biology 2019-01-11 Xiaoliang Ma , Chengyu Hou , Liping Shi , Long Li , Jiacheng Li , Lin Ye , Lin Yang , Xiaodong He

Folding of protein-like heteropolymers into unique 3D structures is investigated using Monte Carlo simulations on a cubic lattice. We found that folding time of chains of length $N$ scales as $N^\lambda$ at temperature of fastest folding.…

Condensed Matter · Physics 2009-10-28 A. M. Gutin , V. I. Abkevich , E. I. Shakhnovich

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive…

Biomolecules · Quantitative Biology 2026-01-13 Jorge Vila

A microscopic theory of the free energy barriers and folding routes for minimally frustrated proteins is presented, greatly expanding on the presentation of the variational approach outlined previously [J. J. Portman, S. Takada, P. G.…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

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

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

Soft Condensed Matter · Physics 2010-10-19 Pragya Shukla

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

Planar/flat configurations of fixed-angle chains and trees are well studied in the context of polymer science, molecular biology, and puzzles. In this paper, we focus on a simple type of fixed-angle linkage: every edge has unit length…

Computational Geometry · Computer Science 2022-12-26 Erik D. Demaine , Hiro Ito , Jayson Lynch , Ryuhei Uehara

Lattice models, for their coarse-grained nature, are best suited for the study of the ``designability problem'', the phenomenon in which most of the about 16,000 proteins of known structure have their native conformations concentrated in a…

Biological Physics · Physics 2009-11-07 C. T. Shih , Z. Y. Su , J. F. Gwan , B. L. Hao , C. H. Hsieh , J. L. Lo. , H. C. Lee

Proteins fold to a specific functional conformation with a densely packed hydrophobic core that controls their stability. We develop a geometric, yet all-atom model for proteins that explains the universal core packing fraction of…

Soft Condensed Matter · Physics 2025-03-28 Alex T. Grigas , Zhuoyi Liu , Jack A. Logan , Mark D. Shattuck , Corey S. O'Hern

A generalized computational method for folding proteins with a fully transferable potential and geometrically realistic all-atom model is presented and tested on seven different helix bundle proteins. The protocol, which includes…

Biomolecules · Quantitative Biology 2009-11-11 Isaac A. Hubner , Eric J. Deeds , Eugene I. Shakhnovich

Protein folding is one of the age-old biological problems that refers to the mechanism of understanding and predicting how a protein's linear sequence of amino acids folds into its specific three dimensional structure.This structure is…

The biological activity and functional specificity of proteins depend on their native three-dimensional structures determined by inter- and intra-molecular interactions. In this paper, we investigate the geometrical factor of protein…

Biological Physics · Physics 2012-03-02 Ming-Chya Wu , Mai Suan Li , Wen-Jong Ma , Maksim Kouza , Chin-Kun Hu