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A computational method is developed to work on an inverse equilibrium problem with an interest towards applications with protein folding. In general, we are given a set of equilibrium confgiurations and want to derive the most probable…

Biological Physics · Physics 2007-05-23 John P. Donohue

Classical simulations of protein flexibility remain computationally expensive, especially for large proteins. A few years ago, we developed a fast method for predicting protein structure fluctuations that uses a single protein model as the…

Bioprocesses are often characterized by nonlinear and uncertain dynamics. This poses particular challenges in the context of model predictive control (MPC). Several approaches have been proposed to solve this problem, such as robust or…

Quantitative Methods · Quantitative Biology 2023-12-08 Niels Krausch , Martin Doff-Sotta , Mark Canon , Peter Neubauer , Mariano Nicolas Cruz Bournazou

We present a systematic framework for shortening and automating molecular dynamics equilibration through improved position initialization methods and uncertainty quantification analysis, using the Yukawa one-component plasma as an exemplar…

Computational Physics · Physics 2026-01-06 Luciano G. Silvestri , Zachary A. Johnson , Michael S. Murillo

Systems with strong electronic Coulomb correlations often display rich phase diagrams exhibiting different ordered phases involving spin, charge, or orbital degrees of freedom. The theoretical description of the interplay of the…

Strongly Correlated Electrons · Physics 2024-01-09 E. Linnér , A. I. Lichtenstein , S. Biermann , E. A. Stepanov

This paper investigates the stochastic fluctuations of the number of copies of a given protein in a cell. This problem has already been addressed in the past and closed-form expressions of the mean and variance have been obtained for a…

Quantitative Methods · Quantitative Biology 2012-06-05 Vincent Fromion , Emanuele Leoncini , Philippe Robert

We analyze correlations in step-edge fluctuations using the Bortz-Kalos-Lebowitz kinetic Monte Carlo algorithm, with a 2-parameter expression for energy barriers, and compare with our VT-STM line-scan experiments on spiral steps on Pb(111).…

Statistical Mechanics · Physics 2009-10-27 F. Szalma , D. B. Dougherty , M. Degawa , Ellen D. Williams , Michael I. Haftel , T. L. Einstein

Within the framework of the dynamical recombination approach implemented in the partonic/hadronic quark Molecular Dynamics (qMD) model, we investigate numerous QGP signals constructed from the correlations and fluctuations of conserved…

High Energy Physics - Phenomenology · Physics 2008-03-20 Stephane Haussler , Marcus Bleicher , Horst Stoecker

The biological effects of electromagnetic fields on proteins remain controversial beyond well-established thermal mechanisms, particularly with respect to frequency-dependent responses. Here, we propose that electromagnetic waves can…

Chemical Physics · Physics 2026-02-02 Jiafei Chen , Yuanyuan Feng , Jingzhi Feng , Xinyun Zhang , Jinzhen Zhu , Qingmeng Xu

Computing reaction rates in biomolecular systems is a common goal of molecular dynamics simulations. The reactions considered often involve conformational changes in the molecule, either changes in the structure of a protein or the relative…

Dynamical Systems · Mathematics 2013-07-03 Eric Darve , Ernest Ryu

Molecular dynamics simulations of folding in an off-lattice protein model reveal a nucleation scenario, in which a few well-defined contacts are formed with high probability in the transition state ensemble of conformations. Their…

Statistical Mechanics · Physics 2009-09-25 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

Time-resolved single-molecule biophysical experiments yield data that contain a wealth of dynamic information, in addition to the equilibrium distributions derived from histograms of the time series. In typical force spectroscopic setups…

Biomolecules · Quantitative Biology 2011-07-14 Michael Hinczewski , Yann von Hansen , Roland R. Netz

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

Statistical Mechanics · Physics 2007-08-02 R. J. Harris , G. M. Schütz

In this paper, we investigate how stochastic reaction processes are affected by external perturbations. We describe an extension of the deterministic metabolic control analysis (MCA) to the stochastic regime. We introduce stochastic…

Quantitative Methods · Quantitative Biology 2009-08-21 Kyung Hyuk Kim , Herbert M. Sauro

We consider the application of fluctuation relations to the dynamics of coarse-grained systems, as might arise in a hypothetical experiment in which a system is monitored with a low-resolution measuring apparatus. We analyze a stochastic,…

Statistical Mechanics · Physics 2007-09-19 Saar Rahav , Christopher Jarzynski

The resolution of Brownian motion in simulations of micro-particle suspensions can be crucial to reproducing the correct dynamics of individual particles, as well as providing an accurate characterisation of suspension properties. Including…

Fluid Dynamics · Physics 2015-06-16 Eric E. Keaveny

At the scale of the individual cell, protein production is a stochastic process with multiple time scales, combining quick and slow random steps with discontinuous and smooth variation. Hybrid stochastic processes, in particular…

Molecular Networks · Quantitative Biology 2019-05-02 Guilherme C. P. Innocentini , Fernando Antoneli , Arran Hodgkinson , Ovidiu Radulescu

Fluctuating hydrodynamics has been successfully combined with several computational methods to rapidly compute the correlated random velocities of Brownian particles. In the overdamped limit where both particle and fluid inertia are…

Computational Physics · Physics 2016-01-20 Blaise Delmotte , Eric E Keaveny

Molecular dynamics (MD) simulations can model the interactions between macromolecules with high spatiotemporal resolution but at a high computational cost. By combining high-throughput MD with Markov state models (MSMs), it is now possible…

Chemical Physics · Physics 2018-06-13 Manuel Dibak , Mauricio J. del Razo , David De Sancho , Christof Schütte , Frank Noé

We present a method to probe rare molecular dynamics trajectories directly using reinforcement learning. We consider trajectories that are conditioned to transition between regions of configuration space in finite time, like those relevant…

Statistical Mechanics · Physics 2022-01-07 Avishek Das , Dominic C. Rose , Juan P. Garrahan , David T. Limmer