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We propose a general method for predicting potentially good folders from a given number of amino acid sequences. Our approach is based on the calculation of the rate of convergence of each amino acid chain towards the native structure using…

Biological Physics · Physics 2013-02-07 Dmitry K. Gridnev , Pedro Ojeda-May , Martin E. Garcia

We present convergence results for an adaptive algorithm to compute free energies, namely the adaptive biasing force (ABF) method. The free energy is the effective potential associated to a so-called reaction coordinate (RC). Computing free…

Analysis of PDEs · Mathematics 2010-05-20 Tony Lelievre , Kimiya Minoukadeh

The cornerstone of computational drug design is the calculation of binding affinity between two biological counterparts, especially a chemical compound, i.e., a ligand, and a protein. Predicting the strength of protein-ligand binding with…

Biomolecules · Quantitative Biology 2019-12-04 Yanjun Li , Mohammad A. Rezaei , Chenglong Li , Xiaolin Li , Dapeng Wu

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…

Biological Physics · Physics 2009-01-31 Xin Zhang , Artem B. Mamonov , Daniel M. Zuckerman

A rigorous formalism for estimating noncovalent binding free energies and thermodynamic expectations from calculations in which receptor configurations are sampled independently from the ligand is derived. Due to this separation, receptor…

Statistical Mechanics · Physics 2015-03-20 David D. L. Minh

Modeling the interaction between proteins and ligands and accurately predicting their binding structures is a critical yet challenging task in drug discovery. Recent advancements in deep learning have shown promise in addressing this…

Machine Learning · Computer Science 2024-01-10 Qizhi Pei , Kaiyuan Gao , Lijun Wu , Jinhua Zhu , Yingce Xia , Shufang Xie , Tao Qin , Kun He , Tie-Yan Liu , Rui Yan

Data-driven methods based on machine learning have the potential to accelerate computational analysis of atomic structures. In this context, reliable uncertainty estimates are important for assessing confidence in predictions and enabling…

Machine Learning · Computer Science 2021-11-04 Jonas Busk , Peter Bjørn Jørgensen , Arghya Bhowmik , Mikkel N. Schmidt , Ole Winther , Tejs Vegge

Empirical scoring functions based on either molecular force fields or cheminformatics descriptors are widely used, in conjunction with molecular docking, during the early stages of drug discovery to predict potency and binding affinity of a…

Machine Learning · Computer Science 2017-03-31 Joseph Gomes , Bharath Ramsundar , Evan N. Feinberg , Vijay S. Pande

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…

Chemical Physics · Physics 2007-05-23 Charles F. F. Karney , Jason E. Ferrara , Clay D. Spence

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…

Biomolecules · Quantitative Biology 2017-09-15 John M. Jumper , Karl F. Freed , Tobin R. Sosnick

The binding energy (BE) or mass is one of the most fundamental properties of an atomic nucleus. Precise binding energies are vital inputs for many nuclear physics and nuclear astrophysics studies. However, due to the complexity of atomic…

Nuclear Theory · Physics 2022-10-07 Lin-Xing Zeng , Yu-Ying Yin , Xiao-Xu Dong , Li-Sheng Geng

The problem of optimal dosage estimation arises in diverse scientific domains, from pharmacology and toxicology to aquaculture and environmental studies. Statistical modeling of nonlinear dose-response relationships is essential to quantify…

Methodology · Statistics 2026-05-08 Aliaksandr Hubin , Åshild Krogdahl , Guro Løkka , Trond M. Kortner

Predicting the change in binding free energy ($\Delta \Delta G$) is crucial for understanding and modulating protein-protein interactions, which are critical in drug design. Due to the scarcity of experimental $\Delta \Delta G$ data,…

Computational Engineering, Finance, and Science · Computer Science 2024-10-15 Xiaoran Jiao , Weian Mao , Wengong Jin , Peiyuan Yang , Hao Chen , Chunhua Shen

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

Predicting the physico-chemical properties of pure substances and mixtures is a central task in thermodynamics. Established prediction methods range from fully physics-based ab-initio calculations, which are only feasible for very simple…

Machine Learning · Computer Science 2024-12-02 Johannes Zenn , Dominik Gond , Fabian Jirasek , Robert Bamler

In this paper, we investigate joint optimal relay selection and resource allocation under bandwidth exchange (BE) enabled incentivized cooperative forwarding in wireless networks. We consider an autonomous network where N nodes transmit…

Information Theory · Computer Science 2015-03-19 Muhammad Nazmul Islam , Narayan Mandayam , Sastry Kompella

This paper applies the Bayesian Model Averaging (BMA) statistical ensemble technique to estimate small molecule solvation free energies. There is a wide range of methods available for predicting solvation free energies, ranging from…

Biomolecules · Quantitative Biology 2016-12-16 Luke J. Gosink , Christopher C. Overall , Sarah M. Reehl , Paul D. Whitney , David L. Mobley , Nathan A. Baker

We compute absolute binding affinities for two ligands bound to the FKBP protein using non-equilibrium unbinding simulations. The methodology is straight-forward, requiring little or no modification to many modern molecular simulation…

Biological Physics · Physics 2008-11-24 F. Marty Ytreberg

Bias in causal comparisons has a direct correspondence with distributional imbalance of covariates between treatment groups. Weighting strategies such as inverse propensity score weighting attempt to mitigate bias by either modeling the…

Methodology · Statistics 2022-03-14 Jared D. Huling , Simon Mak

Accurate protein structure prediction from amino-acid sequences is critical to better understanding the protein function. Recent advances in this area largely benefit from more precise inter-residue distance and orientation predictions,…

Machine Learning · Computer Science 2021-06-01 Jiaxiang Wu , Shitong Luo , Tao Shen , Haidong Lan , Sheng Wang , Junzhou Huang