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The quantitative description of model protein folding kinetics using a diffusive collective reaction coordinate is examined. Direct folding kinetics, diffusional coefficients and free energy profiles are determined from Monte Carlo…

Condensed Matter · Physics 2016-08-31 N. D. Socci , J. N. Onuchic , P. G. Wolynes

Proteins are the basic building blocks of life. They usually perform functions by folding to a particular structure. Understanding the folding process could help the researchers to understand the functions of proteins and could also help to…

Computational Engineering, Finance, and Science · Computer Science 2015-10-21 Jianzhu Ma

A protein model with the pairwise interaction energies varying as local environment changes, i.e., including some kinds of collective effect between the contacts, is proposed. Lattice Monte Carlo simulations on the thermodynamical…

Soft Condensed Matter · Physics 2009-11-07 K. Fan , J. Wang , W. Wang

I propose a variation of the standard worm--like chain model to account for internal order parameter (helix/coil) fields on the polymer chain. This internal order parameter field influences polymer conformational statistics by locally…

Soft Condensed Matter · Physics 2007-05-23 Alex J. Levine

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

In the protein sequence space, natural proteins form clusters of families which are characterized by their unique native folds whereas the great majority of random polypeptides are neither clustered nor foldable to unique structures. Since…

Biomolecules · Quantitative Biology 2018-02-06 Akira R. Kinjo

Protein folding is a problem of large interest since it concerns the mechanism by which the genetic information is translated into proteins with well defined three-dimensional (3D) structures and functions. Recently theoretical models have…

Biomolecules · Quantitative Biology 2007-05-23 Emidio Capriotti , Rita Casadio

We discuss a model of protein conformations where the conformations are combinations of short fragments from some small set. For these fragments we consider a distribution of frequencies of occurrence of pairs (sequence of amino acids,…

Biomolecules · Quantitative Biology 2016-07-05 S. V. Kozyrev

Predicting changes in binding free energy ($\Delta\Delta G$) is a vital task in protein engineering and protein-protein interaction (PPI) engineering for drug discovery. Previous works have observed a high correlation between $\Delta\Delta…

Machine Learning · Computer Science 2025-08-15 Patrick Soga , Zhenyu Lei , Yinhan He , Camille Bilodeau , Jundong Li

Motivated by claims about the nature of the observed timescales in protein systems said to fold downhill, we have studied the finite, linear master equation which is a model of the downhill process. By solving for the system eigenvalues, we…

Biological Physics · Physics 2015-06-11 Thomas Lane , Vijay Pande

By providing new insights into the distribution of a protein's torsion angles, recent statistical models for this data have pointed the way to more efficient methods for protein structure prediction. Most current approaches have…

Applications · Statistics 2010-11-10 Kristin P. Lennox , David B. Dahl , Marina Vannucci , Ryan Day , Jerry W. Tsai

We study the thermodynamic behavior of a simple off-lattice model for protein folding. The model is two-dimensional and has two different ``amino acids''. Using numerical simulations of all chains containing eight or ten monomers, we…

chem-ph · Physics 2009-10-28 Anders Irbäck , Frank Potthast

A method that reconstructs protein residue networks using suitable node selection and edge recovery policies produced numerical observations that correlate strongly (Pearson's correlation coefficient < -0.83) with published folding rates…

Biomolecules · Quantitative Biology 2026-04-07 Susan Khor

We have analyzed dynamics on the complex free energy landscape of protein folding in the FOLD-X model, by calculating for each state of the system the mean first passage time to the folded state. The resulting kinetic map of the folding…

Statistical Mechanics · Physics 2009-11-10 M. A. Micheelsen , C. Rischel , J. Ferkinghoff-Borg , R. Guerois , L. Serrano

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

Protein chains of the (FG)$_n$ ($n \simeq$ 300) type cap the cytoplasmatic side of the nucleopore complex, which connects the nucleus to the remainder of an eukaryotic cell. We study the properties of three fundamental polymer models that…

Biological Physics · Physics 2020-06-12 Mike Castellano , Steffen Wolf , Thorsten Koslowski

We consider two versions of a simple evolutionary algorithm model for protein folding at temperature zero: the (1+1)-EA on the LeadingOnes problem. In this schematic model, the structure of the protein, which is encoded as a bit-string of…

Probability · Mathematics 2008-06-23 Veronique Ladret

We incorporate hydrodynamic interactions (HI) in a coarse-grained and structure-based model of proteins by employing the Rotne-Prager hydrodynamic tensor. We study several small proteins and demonstrate that HI facilitate folding. We also…

Biomolecules · Quantitative Biology 2009-11-13 Marek Cieplak , Szymon Niewieczerzał

This paper builds upon the fundamental work of Niwa et al. [34], which provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free…

Computational Engineering, Finance, and Science · Computer Science 2015-07-22 Lorenzo Livi , Alessandro Giuliani , Antonello Rizzi

The biological function of a protein stems from its 3-dimensional structure, which is thermodynamically determined by the energetics of interatomic forces between its amino acid building blocks (the order of amino acids, known as the…

Biomolecules · Quantitative Biology 2019-05-03 Sean Mullane , Ruoyan Chen , Sri Vaishnavi Vemulapalli , Eli J. Draizen , Ke Wang , Cameron Mura , Philip E. Bourne