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This work addresses the question of whether it is possible to define simple pair-wise interaction terms to approximate free energies of proteins or polymers. Rather than ask how reliable a potential of mean force is, one can ask how…

软凝聚态物质 · 物理学 2009-10-31 Dirk Reith , Thomas Huber , Florian Mueller-Plathe , Andrew E. Torda

To address the large gap between time scales that can be easily reached by molecular simulations and those required to understand protein dynamics, we propose a rapid self-consistent approximation of the side chain free energy at every…

生物大分子 · 定量生物学 2017-09-15 John M. Jumper , Karl F. Freed , Tobin R. Sosnick

Protein conformational transitions, which are essential for function, may be driven either by entropy or enthalpy when molecular systems comprising solute and solvent molecules are the focus. Revealing thermodynamic origin of a given…

生物大分子 · 定量生物学 2015-05-04 Kai Wang , Shiyang Long , Zhiming Zhang , Lanru Liu , Qimeng Wang , Pu Tian

The proposed method of the free energy calculation is based on the approximation of the energy distribution in the microcanonical ensemble by the Gaussian distribution. We hope that our approach will be effective for the systems with…

无序系统与神经网络 · 物理学 2015-06-23 Boris Kryzhanovsky , Leonid Litinskii

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

化学物理 · 物理学 2013-10-16 Asaf Farhi

The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecular dynamics to escape free energy wells…

数学物理 · 物理学 2018-03-05 I. Bilionis , P. S. Koutsourelakis

One reason that free energy difference calculations are notoriously difficult in molecular systems is due to insufficient conformational overlap, or similarity, between the two states or systems of interest. The degree of overlap is…

生物物理 · 物理学 2009-11-11 F. Marty Ytreberg , Daniel M. Zuckerman

We use a free energy functional theory to elucidate general properties of heterogeneously ordering, fast folding proteins, and we test our conclusions with lattice simulations. We find that both structural and energetic heterogeneity can…

无序系统与神经网络 · 物理学 2009-10-31 Steven S. Plotkin , Jose N. Onuchic

The free energy functional has recently been proposed as a variational principle for bounded rational decision-making, since it instantiates a natural trade-off between utility gains and information processing costs that can be…

机器学习 · 统计学 2012-05-18 Pedro A. Ortega , Daniel A. Braun

Alchemical free energy calculations are a useful tool for predicting free energy differences associated with the transfer of molecules from one environment to another. The hallmark of these methods is the use of "bridging" potential energy…

The absolute free energy -- or partition function, equivalently -- of a molecule can be estimated computationally using a suitable reference system. Here, we demonstrate a practical method for staging such calculations by growing a molecule…

生物物理 · 物理学 2009-01-31 Xin Zhang , Artem B. Mamonov , Daniel M. Zuckerman

Estimating the free energy in molecular simulation requires, implicitly or explicitly, counting how many times the system is observed in a finite region. If the simulation is biased by an external potential, the weight of the configurations…

化学物理 · 物理学 2021-12-22 Matteo Carli , Alessandro Laio

The molecular distributions obtained from canonical Monte Carlo simulations can be used to find an approximate interaction energy. This serves as the basis of a method for estimating the binding free energy for a ligand to a protein which…

化学物理 · 物理学 2007-05-23 Charles F. F. Karney , Jason E. Ferrara , Clay D. Spence

In this article the configurational space of two simple protein models consisting of polymers composed of a periodic sequence of four different kinds of monomers is studied as a function of temperature. In the protein models, hydrogen bond…

软凝聚态物质 · 物理学 2012-03-26 Hanif Bayat Movahed , Ramses van Zon , Jeremy Schofield

In the context of complex systems and, particularly, of protein folding, a physically meaningful distance is defined which allows to make useful statistical statements about the way in which energy differences are modified when two…

生物大分子 · 定量生物学 2007-12-19 Jose Luis Alonso , Pablo Echenique

We show how to localize and quantify the functional evolutionary constraints on natural proteins. The method compares the perturbations caused by local sequence variants to the energetics of the protein folding process and to the…

生物大分子 · 定量生物学 2025-08-12 Ezequiel A. Galpern , Carlos Bueno , Ignacio E. Sánchez , Peter G. Wolynes , Diego U. Ferreiro

Exact free energy minimization is a convex optimization problem that is usually approximated with stochastic sampling methods. Deterministic approximations have been less successful because many desirable properties have been difficult to…

计算物理 · 物理学 2016-03-17 Jonathan E. Moussa

We derive the bias function that minimizes the statistical error of free energy differences calculated in work-biased fast-switching simulations. The optimum bias function is compared to other bias functions using a particle pulled through…

统计力学 · 物理学 2009-11-13 Harald Oberhofer , Christoph Dellago

The calculation of minimum energy paths for transitions such as atomic and/or spin re-arrangements is an important task in many contexts and can often be used to determine the mechanism and rate of transitions. An important challenge is to…

化学物理 · 物理学 2017-03-31 Olli-Pekka Koistinen , Emile Maras , Aki Vehtari , Hannes Jónsson

Molecular dynamics is a powerful tool for studying the thermodynamics and kinetics of complex molecular events. However, these simulations can rarely sample the required time scales in practice. Transition path sampling overcomes this…

化学物理 · 物理学 2023-07-31 Gianmarco Lazzeri , Hendrik Jung , Peter G. Bolhuis , Roberto Covino
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