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The stability of model proteins with designed sequences is assessed in terms of the number of sequences (obtained from the designed sequence through mutations), which fold into 5the ``native'' conformation. By a complete enumeration of the…

Soft Condensed Matter · Physics 2009-10-31 R. A Broglia , G. Tiana , H. E. Roman , E. Vigezzi , E. I. Shakhnovich

The intricate three-dimensional geometries of protein tertiary structures underlie protein function and emerge through a folding process from one-dimensional chains of amino acids. The exact spatial sequence and configuration of amino…

Biomolecules · Quantitative Biology 2021-02-24 Nora Molkenthin , Steffen Mühle , Antonia S J S Mey , Marc Timme

Recent advances in coarse-grained lattice and off-lattice protein models are reviewed. The sequence dependence of thermodynamical folding properties are investigated and evidence for non-randomness of the binary sequences of good folders…

High Energy Physics - Lattice · Physics 2015-06-25 C. Peterson

In the framework of a lattice-model study of protein folding, we investigate the interplay between designability, thermodynamic stability, and kinetics. To be ``protein-like'', heteropolymers must be thermodynamically stable, stable against…

Statistical Mechanics · Physics 2009-10-31 Régis Mélin , Hao Li , Ned S. Wingreen , Chao Tang

Geometric and structural constraints greatly restrict the selection of folds adapted by protein backbones, and yet, folded proteins show an astounding diversity in functionality. For structure to have any bearing on function, it is thus…

Biological Physics · Physics 2010-04-20 Brinda K. V. , Saraswathi Vishveshwara , Smitha Vishveshwara

On the study of protein folding, our understanding about the protein structures is limited. In this paper we find one way to characterize the compact structures of lattice protein model. A quantity called Partnum is given to each compact…

Biological Physics · Physics 2009-11-06 Bin Wang , Zu-guo Yu

We have exactly enumerated all sequences and conformations of HP proteins with chains of up to 19 monomers on the simple cubic lattice. For two variants of the hydrophobic-polar (HP) model, where only two types of monomers are…

Biomolecules · Quantitative Biology 2009-11-10 Reinhard Schiemann , Michael Bachmann , Wolfhard Janke

The ability to computationally generate novel yet physically foldable protein structures could lead to new biological discoveries and new treatments targeting yet incurable diseases. Despite recent advances in protein structure prediction,…

Biomolecules · Quantitative Biology 2022-11-28 Kevin E. Wu , Kevin K. Yang , Rianne van den Berg , James Y. Zou , Alex X. Lu , Ava P. Amini

The folding vs. adsorption behaviour of a coarse-grained off-lattice protein model near an attractive surface is presented within the frame of a Multicanonical Monte Carlo simulations. In the polymer-surface model, the Lennard-Jones…

Soft Condensed Matter · Physics 2015-12-23 Handan Arkin , Hakan Alaboz

Proteins are an example of heteropolymers able to self-assemble in specific target structures. The self-assembly of designed artificial heteropolymers is still, to the best of our knowledge, not possible with control over the single chain…

Natural protein sequences that self-assemble to form globular structures are compact with high packing densities in the folded states. It is known that proteins unfold upon addition of denaturants, adopting random coil structures. The…

Biomolecules · Quantitative Biology 2016-12-02 Himadri S. Samanta , Pavel I. Zhuravlev , Michael Hinczewski , Naoto Hori , Shaon Chakrabarti , D. Thirumalai

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

Can active forces be exploited to drive the consistent collapse of an active polymer into a folded structure? In this paper we introduce and perform numerical simulations of a simple model of active colloidal folders, and show that a…

Soft Condensed Matter · Physics 2022-02-11 Shibananda Das , Malte Lange , Angelo Cacciuto

We investigate the mechanisms underlying selective molecular recognition of single heteropolymers at chemically structured planar surfaces. To this end, we study systems with two-letter (HP) lattice heteropolymers by exact enumeration…

Biological Physics · Physics 2009-11-11 Thorsten Bogner , Andreas Degenhard , Friederike Schmid

The notion of energy landscapes provides conceptual tools for understanding the complexities of protein folding and function. Energy Landscape Theory indicates that it is much easier to find sequences that satisfy the "Principle of Minimal…

Biomolecules · Quantitative Biology 2013-06-13 R. Gonzalo Parra , Rocío Espada , Ignacio E. Sánchez , Manfred J. Sippl , Diego U. Ferreiro

This paper deals with the relations among structural, topological, and chemical properties of the E.Coli proteome from the vantage point of the solubility/aggregation propensity of proteins. Each E.Coli protein is initially represented…

Data Analysis, Statistics and Probability · Physics 2015-11-17 Lorenzo Livi , Alessandro Giuliani , Alireza Sadeghian

The hydrophobic/polar HP model on the square lattice has been widely used to investigate basics of protein folding. In the cases where all designing sequences (sequences with unique ground states) were enumerated without restrictions on the…

Soft Condensed Matter · Physics 2007-05-23 Anders Irbäck , Carl Troein

Using a fast tree-searching algorithm and a Pentium cluster, we enumerated all the sequences and compact conformations (structures) for a protein folding model on a cubic lattice of size $4\times3\times3$. We used two types of amino acids…

Statistical Mechanics · Physics 2016-08-31 Henry Cejtin , Jan Edler , Allan Gottlieb , Robert Helling , Hao Li , James Philbin , Chao Tang , Ned Wingreen

Analysis of the geometric properties of a mean-field HP model on a square lattice for protein structure shows that structures with large number of switch backs between surface and core sites are chosen favorably by peptides as unique ground…

Soft Condensed Matter · Physics 2009-10-31 C. T. Shih , Z. Y. Su , J. F. Gwan , H. C. Lee , B. L. Hao , C. H. Hsieh

It is widely accepted that (1) the natural or folded state of proteins is a global energy minimum, and (2) in most cases proteins fold to a unique state determined by their amino acid sequence. The H-P (hydrophobic-hydrophilic) model is a…

Computational Geometry · Computer Science 2007-05-23 Oswin Aichholzer , David Bremner , Erik D. Demaine , Henk Meijer , Vera Sacristán , Michael Soss