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A phenomenological model hamiltonian to describe the folding of a protein with any given sequence is proposed. The protein is thought of as a collection of pieces of helices; as a consequence its configuration space increases with the…

Soft Condensed Matter · Physics 2009-10-30 Pierpaolo Bruscolini

We describe the results obtained from an improved model for protein folding. We find that a good agreement with the native structure of a 46 residue long, five-letter protein segment is obtained by carefully tuning the parameters of the…

Biomolecules · Quantitative Biology 2009-11-11 Andrea Nobile , Federico Rapuano

We introduce a variational approximation to the microscopic dynamics of rare conformational transitions of macromolecules. Within this framework it is possible to simulate on a small computer cluster reactions as complex as protein folding,…

Soft Condensed Matter · Physics 2015-02-19 S. a Beccara , L. Fant , P. Faccioli

The dynamics of motor protein molecules that have two subunits is investigated using simple discrete stochastic models. Exact steady-state analytical expressions are obtained for velocities and dispersions for any number of intermediate…

Soft Condensed Matter · Physics 2015-06-25 Anatoly B. Kolomeisky , Hubert Phillips

A geometric analysis of protein folding, which complements many of the models in the literature, is presented. We examine the process from unfolded strand to the point where the strand becomes self-interacting. A central question is how it…

Mathematical Physics · Physics 2008-09-13 Walter A. Simmons , Joel L. Weiner

The WW domain of the human Pin1 protein for its simple topology and the large amount of experimental data is an ideal candidate to assess theoretical approaches to protein folding. The purpose of the present work is to compare the…

Statistical Mechanics · Physics 2009-11-11 Fabio Cecconi , Carlo Guardiani , Roberto Livi

Molecular structure generation is a fundamental problem that involves determining the 3D positions of molecules' constituents. It has crucial biological applications, such as molecular docking, protein folding, and molecular design. Recent…

Machine Learning · Computer Science 2025-08-27 Wenyin Zhou , Christopher Iliffe Sprague , Vsevolod Viliuga , Matteo Tadiello , Arne Elofsson , Hossein Azizpour

Understanding the protein folding process is an outstanding issue in biophysics; recent developments in molecular dynamics simulation have provided insights into this phenomenon. However, the large freedom of atomic motion hinders the…

Computational Physics · Physics 2020-06-18 Takashi Ichinomiya , Ippei Obayashi , Yasuaki Hiraoka

Transitions between different conformational states are ubiquitous in proteins, being involved in signaling, catalysis and other fundamental activities in cells. However, modeling those processes is extremely difficult, due to the need of…

Chemical Physics · Physics 2019-05-15 Francesco Delfino , Yuri Porozov , Eugene Stepanov , Gaik Tamazian , Valentina Tozzini

Starting from linear chains of amino acids, the spontaneous folding of proteins into their elaborate three-dimensional structures is one of the remarkable examples of biological self-organization. We investigated native state structures of…

Molecular Networks · Quantitative Biology 2007-11-20 Ganesh Bagler , Somdatta Sinha

We study folding dynamics of protein-like sequences on square lattice using physical move set that exhausts all possible conformational changes. By analytically solving the master equation, we follow the time-dependent probabilities of…

Biomolecules · Quantitative Biology 2016-08-16 Sëma Kachalo , Hsiao-Mei Lu , Jie Liang

The dynamics of biological polymers, including proteins, RNA, and DNA, occur in very high-dimensional spaces. Many naturally-occurring polymers can navigate a vast phase space and rapidly find their lowest free energy (folded) state. Thus,…

Computational Physics · Physics 2024-06-19 Frederico Campos Freitas , Sandra Byju , Asem Hassan , Ronaldo Junio de Oliveira , Paul C. Whitford

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

Soft Condensed Matter · Physics 2022-09-26 Margarita Colberg , Jeremy Schofield

The protein folding is regarded as a quantum transition between torsion states on polypeptide chain. The deduction of the folding rate formula in our previous studies is reviewed. The rate formula is generalized to the case of frequency…

Biomolecules · Quantitative Biology 2010-08-24 Liaofu Luo

Proteins created by combinatorial methods in vitro are an important source of information for understanding sequence-structure-function relationships. Alignments of folded proteins from combinatorial libraries can be analyzed using methods…

Biomolecules · Quantitative Biology 2007-05-23 Jeffrey B. Endelman , Jesse D. Bloom , Christopher R. Otey , Marco Landwehr , Frances H. Arnold

We carry out a theoretical study of the vibrational and relaxation properties of naturally-occurring proteins with the purpose of characterizing both the folding and equilibrium thermodynamics. By means of a suitable model we provide a full…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Gianluca Lattanzi , Amos Maritan

The design of desired behaviors in mechanical metamaterials has produced remarkable advances but has generally neglected two aspects - the inevitable presence of undesired behaviors and the role of dynamics in avoiding such behaviors.…

Soft Condensed Matter · Physics 2019-10-22 Menachem Stern , Viraaj Jayaram , Arvind Murugan

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

A reduced model, which can fold both helix and sheet structures, is proposed to study the problem of protein folding. The goal of this model is to find an unbiased effective potential that has included the effects of water and at the same…

Soft Condensed Matter · Physics 2007-05-23 Nan-yow Chen