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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

The contribution of a specific hydrogen bond in apoflavodoxin to protein stability is investigated by combining theory, experiment and simulation. Although hydrogen bonds are major determinants of protein structure and function, their…

Biomolecules · Quantitative Biology 2007-05-23 Luis A. Campos , Santiago Cuesta-Lopez , Jon Lopez-Llano , Fernando Falo , Javier Sancho

A general derivation is proposed for several boundary conditions arisen in the lattice Boltzmann simulations of various physical problems. Pair-wise moment conservations are proposed to enforce the boundary conditions with given macroscopic…

Computational Physics · Physics 2025-10-16 Jun Li , Wai Hong Ronald Chan , Zhe Feng , Chenglei Wang

We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In this theory, energy…

Statistical Mechanics · Physics 2014-01-07 K. J. Challis , M. W. Jack

Living cells employ excitable reaction-diffusion waves for internal cellular functions, in which curvature-inducing proteins are often involved. However, the role of their mechanochemical coupling is not well understood. Here, we report the…

Soft Condensed Matter · Physics 2022-08-09 Naoki Tamemoto , Hiroshi Noguchi

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

Replica exchange molecular dynamics (REMD) becomes more efficient as the frequency of swap between the temperatures is increased. Recently in [Plattner et al, J. Chem. Phys. 135, 134111 (2011)] a method was proposed to implement infinite…

Statistical Mechanics · Physics 2015-06-12 Jianfeng Lu , Eric Vanden-Eijnden

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various…

Statistical Mechanics · Physics 2016-12-23 Leila Shahsavar , Malihe Ghodrat , Afshin Montakhab

Sensitivity analysis of biochemical reactions aims at quantifying the dependence of the reaction dynamics on the reaction rates. The computation of the parameter sensitivities, however, poses many computational challenges when taking…

Molecular Networks · Quantitative Biology 2018-11-07 Vo Hong Thanh , Roberto Zunino , Corrado Priami

The Dynamic Monte Carlo (DMC) method is an established molecular simulation technique for the analysis of the dynamics in colloidal suspensions. An excellent alternative to Brownian Dynamics or Molecular Dynamics simulation, DMC is…

Soft Condensed Matter · Physics 2020-07-15 Fabián A. García Daza , Alejandro Cuetos , Alessandro Patti

The fluctuation-dissipation relation is calculated for a class of stochastic models obeying a master equation. The transition rates are assumed to obey detailed balance also in the presence of a field. It is shown that in general the linear…

Statistical Mechanics · Physics 2016-08-31 Gregor Diezemann

Nuclear magnetic relaxation is widely used to probe protein dynamics. For decades, most analyses of relaxation in proteins have relied successfully on the model-free approach, forgoing mechanistic descriptions of motions. Model-free types…

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements,…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Patrick P. Potts , Peter Samuelsson

This review is focused on the application of specific fluctuation relations, such as the Gallavotti-Cohen relation, to ratchet models of a molecular motor. A special emphasis is placed on two-states models such as the flashing ratchet…

Statistical Mechanics · Physics 2011-03-02 D. Lacoste , K. Mallick

We study the dynamics of elastic interfaces-membranes-immersed in thermally excited fluids. The work contains three components: the development of a numerical method, a purely theoretical approach, and numerical simulation. In developing a…

Soft Condensed Matter · Physics 2009-10-31 Davide Stelitano , Daniel H. Rothman

We consider the problem of reconstructing the dynamic state matrix of transmission power grids from time-stamped PMU measurements in the regime of ambient fluctuations. Using a maximum likelihood based approach, we construct a family of…

Systems and Control · Computer Science 2017-10-31 Andrey Y. Lokhov , Marc Vuffray , Dmitry Shemetov , Deepjyoti Deka , Michael Chertkov

Explicit expressions for the transport coefficients of a recently introduced stochastic model for simulating fluctuating fluid dynamics are derived in three dimensions by means of Green-Kubo relations and simple kinetic arguments. The…

Statistical Mechanics · Physics 2009-11-10 Erkan Tuzel , Martin Strauss , Thomas Ihle , Daniel M. Kroll

Chemical potential of species in solution is essential for understanding various chemical processes at interfaces. Molecular dynamics (MD) simulations, constrained by fixed compositions, cannot satisfy a constant chemical potential…

Chemical Physics · Physics 2025-06-03 Ademola Soyemi , Khagendra Baral , Tibor Szilvasi

Predicting the impact of single-point amino acid mutations on protein stability is essential for understanding disease mechanisms and advancing drug development. Protein stability, quantified by changes in Gibbs free energy ($\Delta\Delta…

Machine Learning · Computer Science 2025-01-31 Karishma Thakrar , Jiangqin Ma , Max Diamond , Akash Patel