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A wide variety of numerical methods are evaluated and compared for solving the stochastic differential equations encountered in molecular dynamics. The methods are based on the application of deterministic impulses, drifts, and Brownian…

Computational Physics · Physics 2013-05-14 Benedict Leimkuhler , Charles Matthews

We construct Langevin equations describing the fluctuations of the tensor order parameter $Q_{\alpha\beta}$ in nematic liquid crystals by adding noise terms to time-dependent variational equations that follow from the Ginzburg-Landau-de…

Soft Condensed Matter · Physics 2010-01-07 A. K. Bhattacharjee , Gautam I. Menon , R. Adhikari

We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate $x$, which is simultaneously exposed to a space-dependent friction coefficient $\gamma(x)$, a confining potential $U(x)$ and…

Soft Condensed Matter · Physics 2021-05-12 Davide Breoni , Hartmut Löwen , Ralf Blossey

We present a new method that enables the identification and analysis of both transition and metastable conformational states from atomistic or coarse-grained molecular dynamics (MD) trajectories. Our algorithm is presented and studied by…

Chemical Physics · Physics 2017-10-04 Linda Martini , Adam Kells , Gerhard Hummer , Nicolae-Viorel Buchete , Edina Rosta

Protein activity is a significant characteristic for recombinant proteins which can be used as biocatalysts. High activity of proteins reduces the cost of biocatalysts. A model that can predict protein activity from amino acid sequence is…

Quantitative Methods · Quantitative Biology 2018-07-23 X. Han , X. Wang , K. Zhou

Folding protein dynamics has been an area of high interest for quite some time, especially given the increased focus on the field of Biophysics. Because folding dynamics occur on such short time scales, empirical techniques developed for…

Soft Condensed Matter · Physics 2022-10-11 Rickie Xian

The idea that structural disorder might be a novel mechanism of protein interaction is widespread in the Literature, although the number of statistically significant structural studies supporting this is surprisingly low. At variance with…

Disordered Systems and Neural Networks · Physics 2021-03-01 Beatriz Seoane , Alessandra Carbone

We study the dynamics of hydration water/protein association in folded proteins, using lysozyme and myoglobin as examples. Extensive molecular dynamics simulations are performed to identify underlying mechanisms of the dynamical transition…

Soft Condensed Matter · Physics 2015-05-13 J. Servantie , C. Atilgan , A. R. Atilgan

We model protein folding as a physical stochastic process as follows. The unfolded protein chain is treated as a random coil described by SAW (self-avoiding walk). Folding is induced by hydrophobic forces and other interactions, such as…

Soft Condensed Matter · Physics 2007-07-18 Kerson Huang

We propose a universal elastic energy for proteins, which depends only on the radius of gyration $R_{g}$ and the residue number $N$. It is constructed using physical arguments based on the hydrophobic effect and hydrogen bonding. Adjustable…

Statistical Mechanics · Physics 2013-09-26 Jinzhi Lei , Kerson Huang

Local protein structure analysis is informative to protein structure analysis and has been used successfully in protein structure prediction and others. Proteins have recurring structural features, such as helix caps and beta turns, which…

Combinatorics · Mathematics 2007-10-26 Naoto Morikawa

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

Biomolecules · Quantitative Biology 2010-02-04 Canan Atilgan , Osman Burak Okan , Ali Rana Atilgan

We present a statistical approach to protein structure by introducing a representation of protein folds based on simple observables defined as frequencies of oriented cycles in contact graphs. Motivated by the idea that these cycles may…

Biomolecules · Quantitative Biology 2016-09-08 A. M. Lisewski , O. Lichtarge

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

In this project, we present a deep neural network (DNN)-based biophysics model that uses multi-scale and uniform topological and electrostatic features to predict protein properties, such as Coulomb energies or solvation energies. The…

Machine Learning · Computer Science 2026-03-16 Elyssa Sliheet , Md Abu Talha , Weihua Geng

This chapter describes the application of constrained geometric simulations for prediction of antibody structural dynamics. We utilize constrained geometric simulations method FRODAN, which is a low computational complexity alternative to…

Biomolecules · Quantitative Biology 2021-10-01 Andrejs Tucs , Koji Tsuda , Adnan Sljoka

The discovery of new functional and stable materials is a big challenge due to its complexity. This work aims at the generation of new crystal structures with desired properties, such as chemical stability and specified chemical…

Computational Physics · Physics 2023-10-18 Arsen Sultanov , Jean-Claude Crivello , Tabea Rebafka , Nataliya Sokolovska

Proteins are essential for maintaining life. For example, knowing the structure of a protein, cell regulatory mechanisms of organisms can be modeled, supporting the development of disease treatments or the understanding of relationships…

Biomolecules · Quantitative Biology 2019-01-07 Daniel Bonetti , Alexandre Delbem , Dorival Leão , Jochen Einbeck

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

When simulating molecular systems using deterministic equations of motion (e.g., Newtonian dynamics), such equations are generally numerically integrated according to a well-developed set of algorithms that share commonly agreed-upon…

Computational Physics · Physics 2014-08-08 David A. Sivak , John D. Chodera , Gavin E. Crooks
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