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An optimized method for estimating path-ensemble averages using data from processes driven in opposite directions is presented. Based on this estimator, bidirectional expressions for reconstructing free energies and potentials of mean force…

Statistical Mechanics · Physics 2008-05-07 David D. L. Minh , Artur B. Adib

Understanding protein structure is of crucial importance in science, medicine and biotechnology. For about two decades, knowledge based potentials based on pairwise distances -- so-called "potentials of mean force" (PMFs) -- have been…

It is known that line optical tweezers (LOT) can measure potential of mean force (PMF) between colloidal particles in the bulk. However, PMF obtained with LOT is empirically modified before showing the result of the final form in order to…

Soft Condensed Matter · Physics 2025-07-28 Ken-ichi Amano , Rikako Suzuki , Madoka Takasu

We propose a multiple-splitting projection test (MPT) for one-sample mean vectors in high-dimensional settings. The idea of projection test is to project high-dimensional samples to a 1-dimensional space using an optimal projection…

Methodology · Statistics 2022-04-19 Wanjun Liu , Xiufan Yu , Runze Li

Molecular mechanics (MM) potentials have long been a workhorse of computational chemistry. Leveraging accuracy and speed, these functional forms find use in a wide variety of applications in biomolecular modeling and drug discovery, from…

We propose an adaptive biasing algorithm aimed at enhancing the sampling of multimodal measures by Langevin dynamics. The underlying idea consists in generalizing the standard adaptive biasing force method commonly used in conjunction with…

Analysis of PDEs · Mathematics 2010-08-23 Chris Chipot , Tony Lelièvre

Quantifying the forces between and within macromolecules is a necessary first step in understanding the mechanics of molecular structure, protein folding, and enzyme function and performance. In such macromolecular settings, dynamic…

Data Analysis, Statistics and Probability · Physics 2017-08-24 Joshua C. Chang , Pak-Wing Fok , Tom Chou

We present an approach to the estimate of the potential of mean force along a generic reaction coordinate based on maximum likelihood methods and path-ensemble averages in systems driven far from equilibrium. Following similar arguments,…

Computational Physics · Physics 2008-03-05 Riccardo Chelli , Simone Marsili , Piero Procacci

The potential of mean force (PMF) between two nano crystals (NCs) represents an effective interaction potential that can be used to study the assembly of NCs to various superstructures. For a given temperature, the effective interaction is…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 Alexander Lange , Fabian Danecker , Gernot Bauer , Nadezda Gribova , Joachim Gross

Single-molecule pulling techniques have emerged as versatile tools for probing the noncovalent forces holding together the secondary and tertiary structure of macromolecules. They also constitute a way to study at the single-molecule level…

Biological Physics · Physics 2013-02-19 Ignacio Franco , Mark A. Ratner , George C. Schatz

Free energy profiles serve as a fundamental bridge between microscopic atomic fluctuations and macroscopic thermodynamic observables. Estimating the free energy profile along a reaction coordinate, referred to as the potential of mean force…

We present polynomial force reconstruction from experimental intermodulation atomic force microscopy (ImAFM) data. We study the tip-surface force during a slow surface approach and compare the results with amplitude-dependence force…

Mesoscale and Nanoscale Physics · Physics 2013-02-08 Daniel Platz , Daniel Forchheimer , Erik A. Tholen , David B. Haviland

Predicting the adsorption affinity of a small molecule to a target surface is of importance to a range of fields, from catalysis to drug delivery and human safety, but a complex task to perform computationally when taking into account the…

Chemical Physics · Physics 2022-11-16 Ian Rouse , Vladimir Lobaskin

We present an extremely simplified model of multiple-domains polymer stretching in an atomic force microscopy experiment. We portray each module as a binary set of contacts and decompose the system energy into a harmonic term (the…

Biomolecules · Quantitative Biology 2008-01-20 Carlo Guardiani , Franco Bagnoli

Hydrostatic pressure is a common perturbation to probe the conformations of proteins. There are two common forms of pressure dependent potentials of mean force (PMFs) derived from hydrophobic molecules available for the coarse grained…

Biomolecules · Quantitative Biology 2020-11-17 Andrei G. Gasic , Margaret S. Cheung

We endeavour to estimate numerous multi-dimensional means of various probability distributions on a common space based on independent samples. Our approach involves forming estimators through convex combinations of empirical means derived…

Machine Learning · Statistics 2025-03-11 Gilles Blanchard , Jean-Baptiste Fermanian , Hannah Marienwald

In recent years, single molecule force techniques have opened a new avenue to decipher the folding landscapes of biopolymers by allowing us to watch and manipulate the dynamics of individual proteins and nucleic acids. In single molecule…

Biomolecules · Quantitative Biology 2016-11-25 Changbong Hyeon

Forced detachment of a single polymer chain, strongly-adsorbed on a solid substrate, is investigated by two complementary methods: a coarse-grained analytical dynamical model, based on the Onsager stochastic equation, and Molecular Dynamics…

Soft Condensed Matter · Physics 2014-03-27 J. Paturej , J. L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

The use of external restraints is ubiquitous in advanced molecular simulation techniques. In general, restraints serve to reduce the configurational space that is available for sampling, thereby reducing the computational demands associated…

We demonstrate how an iterative method for potential inversion from distribution functions developed for simple liquid systems can be generalized to polymer systems. It uses the differences in the potentials of mean force between the…

Soft Condensed Matter · Physics 2007-05-23 Dirk Reith , Mathias Puetz , Florian Mueller-Plathe
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