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Calculating free energies is an important and notoriously difficult task for molecular simulations. The rapid increase in computational power has made it possible to probe increasingly complex systems, yet extracting accurate free energies…

Chemical Physics · Physics 2014-07-29 Viveca Lindahl , Jack Lidmar , Berk Hess

The folding pathway and rate coefficients of the folding of a knotted protein are calculated for a potential energy function with minimal energetic frustration. A kinetic transition network is constructed using the discrete path sampling…

Biomolecules · Quantitative Biology 2010-07-05 Michael C. Prentiss , David J. Wales , Peter G. Wolynes

Calculating relative free energies is a topic of substantial interest and has many applications including solvation and binding free energies, which are used in computational drug discovery. However, there remain the challenges of accuracy,…

Chemical Physics · Physics 2016-09-28 Asaf Farhi , Bipin Singh

A geometric analysis of the global properties of the energy landscape of a minimalistic model of a polypeptide is presented, which is based on the relation between dynamical trajectories and geodesics of a suitable manifold, whose metric is…

Statistical Mechanics · Physics 2009-11-13 Lorenzo N. Mazzoni , Lapo Casetti

We develop a novel graph-based trainable framework to maximize the weighted sum energy efficiency (WSEE) for power allocation in wireless communication networks. To address the non-convex nature of the problem, the proposed method consists…

Systems and Control · Electrical Eng. & Systems 2023-04-19 Boning Li , Gunjan Verma , Santiago Segarra

Density functional theory (DFT) is a widespread and effective tool in electronic structure calculations for ground-state electron systems. Its success has prompted exploration into the use of DFT for non-collective excited states. The delta…

Chemical Physics · Physics 2025-08-12 Ethan Pollack , Rohan Maniar , John P. Perdew

We propose a discrete transition-based reweighting analysis method (dTRAM) for analyzing configuration-space-discretized simulation trajectories produced at different thermodynamic states (temperatures, Hamiltonians, etc.) dTRAM provides…

Data Analysis, Statistics and Probability · Physics 2015-06-23 Hao Wu , Antonia S. J. S. Mey , Edina Rosta , Frank Noé

We study the geometric properties of the energy landscape of coarse-grained, off-lattice models of polymers by endowing the configuration space with a suitable metric, depending on the potential energy function, such that the dynamical…

Statistical Mechanics · Physics 2007-05-23 Lorenzo N. Mazzoni , Lapo Casetti

Although wireless sensor networks (WSNs) are powerful in monitoring physical events, the data collected from a WSN are almost always incomplete if the surveyed physical event spreads over a wide area. The reason for this incompleteness is…

Networking and Internet Architecture · Computer Science 2011-08-02 Liu Xiang , Jun Luo , Chenwei Deng , Athanasios V. Vasilakos , Weisi Lin

The wind is one of the most increasingly used renewable energy resources. Accurate and reliable forecast of wind speed is necessary for efficient power production; however, it is not an easy task because it depends upon meteorological…

Signal Processing · Electrical Eng. & Systems 2020-03-23 Aqsa Saeed Qureshi , Asifullah Khan , Muhammad Waleed Khan

Engineering the free-energy surfaces (FES) of proteins and peptides is central to controlling conformational ensembles and their responses to perturbations. However, predicting how chemical modifications such as point mutations reshape the…

Biological Physics · Physics 2026-03-10 Muralika Medaparambath , Alexander Zhilkin , Dan Mendels

Energy landscape theory describes how a full-length protein can attain its native fold after sampling only a tiny fraction of all possible structures. Although protein folding is now understood to be concomitant with synthesis on the…

Biomolecules · Quantitative Biology 2013-10-17 David S. Tourigny

State-specific approximations can provide an accurate representation of challenging electronic excitations by enabling relaxation of the electron density. While state-specific wave functions are known to be local minima or saddle points of…

Chemical Physics · Physics 2022-01-06 Hugh G. A. Burton

Energy landscapes are high-dimensional surfaces representing the dependence of system energy on variable configurations, which determine crucially the system's emergent behavior but are difficult to be analyzed due to their high-dimensional…

Disordered Systems and Neural Networks · Physics 2024-05-24 Ho Fai Po , Chi Ho Yeung

Finding parameters that minimise a loss function is at the core of many machine learning methods. The Stochastic Gradient Descent algorithm is widely used and delivers state of the art results for many problems. Nonetheless, Stochastic…

Machine Learning · Computer Science 2018-09-26 Yao Zhang , Andrew M. Saxe , Madhu S. Advani , Alpha A. Lee

HiRE-RNA is a simplified, coarse-grained RNA model for the prediction of equilibrium configurations, dynamics and thermodynamics. Using a reduced set of particles and detailed interactions accounting for base-pairing and stacking we show…

Biomolecules · Quantitative Biology 2015-03-10 Tristan Cragnolini , Yoann Laurin , Philippe Derreumaux , Samuela Pasquali

The free energy principle from neuroscience provides a brain-inspired perception scheme through a data-driven model learning algorithm called Dynamic Expectation Maximization (DEM). This paper aims at introducing an experimental design to…

Robotics · Computer Science 2021-09-27 Fred Bos , Ajith Anil Meera , Dennis Benders , Martijn Wisse

Principal component analysis (PCA) represents a standard approach to identify collective variables $\{x_i\}\!=\!\boldsymbol{x}$, which can be used to construct the free energy landscape $\Delta G(\boldsymbol{x})$ of a molecular system.…

Biomolecules · Quantitative Biology 2019-05-30 Matthias Post , Steffen Wolf , Gerhard Stock

This work examines the conformational ensemble involved in $\beta$-hairpin folding by means of advanced molecular dynamics simulations and dimensionality reduction. A fully atomistic description of the protein and the surrounding solvent…

Chemical Physics · Physics 2023-06-16 Albert Ardevol , Gareth A. Tribello , Michele Ceriotti , Michele Parrinello

A vast array of phenomena, ranging from chemical reactions to phase transformations, are analysed in terms of a free energy surface defined with respect to a single or multiple order parameters. Enhanced sampling methods are typically used,…

Statistical Mechanics · Physics 2023-04-26 Yagyik Goswami , Srikanth Sastry