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A small fraction of all protein structures characterized so far are entangled. The challenge of understanding the properties of these knotted proteins, and the why and the how of their natural folding process, has been taken up in the past…

Biomolecules · Quantitative Biology 2019-06-21 Ana Nunes , Patrícia FN Faísca

Many of the concepts which are at the basis of the development associated with a quantitative treatment of the variety of phenomena associated with the spontaneous breaking of gauge symmetry in nuclei have been instrumental in connection…

Nuclear Theory · Physics 2017-08-23 R. A. Broglia

The folding of a peptide chain into a three dimensional structure is a thermodynamically driven process such that the chain naturally evolves to form domains of similar amino acids. The formation of this domain occurs by curling the one…

Statistical Mechanics · Physics 2018-02-01 Theja N. De Silva , Vattika Sivised

The differing ability of polypeptide conformations to act as the native state of proteins has long been rationalized in terms of differing kinetic accessibility or thermodynamic stability. Building on the successful applications of physical…

Biomolecules · Quantitative Biology 2021-11-29 Matteo Negri , Guido Tiana , Riccardo Zecchina

A novel approach to protein folding dynamics is presented. We suggest that folding of protein may be mediated via interaction with solitons which propagate along the molecular chain. A simple toy model is presented in which a Sine-Gordon…

Condensed Matter · Physics 2007-05-23 S. Caspi , E. Ben-Jacob

We present and discuss a novel approach to the direct and inverse protein folding problem. The proposed strategy is based on a variational approach that allows the simultaneous extraction of amino acid interactions and the low-temperature…

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

This paper presents a method of reconstruction a primary structure of a protein that folds into a given geometrical shape. This method predicts the primary structure of a protein and restores its linear sequence of amino acids in the…

Quantitative Methods · Quantitative Biology 2017-01-04 Andrii Riazanov , Mikhail Karasikov , Sergei Grudinin

Using a simple three-dimensional lattice copolymer model and Monte Carlo dynamics, we study the collapse and folding of protein-like heteropolymers. The polymers are 27 monomers long and consist of two monomer types. Although these chains…

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

Two proteins, one belonging to the mainly alpha class and the other belonging to the alpha/beta class, are selected to test a kinetic mechanism for protein folding. Targeted molecular dynamics is applied to generate folding pathways for…

Biological Physics · Physics 2011-01-04 Leonor Cruzeiro

Proteins are biomolecules of life. They fold into a great variety of three-dimensional (3D) shapes. Underlying these folding patterns are many recurrent structural fragments or building blocks (analogous to `LEGO bricks'). This paper…

Quantitative Methods · Quantitative Biology 2013-10-08 Arun S. Konagurthu , Arthur M. Lesk , David Abramson , Peter J. Stuckey , Lloyd Allison

A theoretical analysis of the unfolding pathway of simple modular proteins in length- controlled pulling experiments is put forward. Within this framework, we predict the first module to unfold in a chain of identical units, emphasizing the…

Soft Condensed Matter · Physics 2018-07-03 Carlos A. Plata , Zackary N. Scholl , Piotr E. Marszalek , A. Prados

Understanding the mechanism of protein secondary structure formation is an essential part of protein-folding puzzle. Here we describe a simple model for the formation of the $\beta$-hairpin, motivated by the fact that folding of a…

Soft Condensed Matter · Physics 2009-10-31 Chinlin Guo , Herbert Levine , David Kessler

In the course of evolution, proteins undergo important changes in their amino acid sequences, while their three-dimensional folded structure and their biological function remain remarkably conserved. Thanks to modern sequencing techniques,…

Biomolecules · Quantitative Biology 2019-10-07 Simona Cocco , Christoph Feinauer , Matteo Figliuzzi , Remi Monasson , Martin Weigt

Biological diversity has evolved despite the essentially infinite complexity of protein sequence space. We present a hierarchical approach to the efficient searching of this space and quantify the evolutionary potential of our approach with…

Statistical Mechanics · Physics 2009-10-31 Leonard D. Bogarad , Michael W. Deem

This paper proposes a new mathematical approach to characterize native protein structures based on the discrete differential geometry of tetrahedron tiles. In the approach, local structure of proteins is classified into finite types…

Biomolecules · Quantitative Biology 2007-05-23 Naoto Morikawa

Models of protein energetics which neglect interactions between amino acids that are not adjacent in the native state, such as the Go model, encode or underlie many influential ideas on protein folding. Implicit in this simplification is a…

Biomolecules · Quantitative Biology 2009-10-08 Brian C. Gin , Juan P. Garrahan , Phillip L. Geissler

Protein folding produces characteristic and functional three-dimensional structures from unfolded polypeptides or disordered coils. The emergence of extraordinary complexity in the protein folding process poses astonishing challenges to…

Biomolecules · Quantitative Biology 2013-08-14 Kelin Xia , Guo-Wei Wei

Within the frame of an effective, coarse-grained hydrophobic-polar protein model, we employ multicanonical Monte Carlo simulations to investigate free-energy landscapes and folding channels of exemplified heteropolymer sequences, which are…

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

Predicting the structure of a protein from its sequence is a cornerstone task of molecular biology. Established methods in the field, such as homology modeling and fragment assembly, appeared to have reached their limit. However, this year…

Machine Learning · Computer Science 2018-12-05 Georgy Derevyanko , Guillaume Lamoureux

Understanding the biological function of knots in proteins and their folding process is an open and challenging question in biology. Recent studies classify the topology and geometry of knotted proteins by analysing the distribution of a…

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