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X-ray crystallography, NMR (Nuclear Magnetic Resonance) spectroscopy, and dual polarization interferometry, etc are indeed very powerful tools to determine the 3D structures of proteins (including the membrane proteins), though they are…

Optimization and Control · Mathematics 2012-12-14 Jiapu Zhang

Reliable and robust methods of predicting the crystal structure of a compound, based only on its chemical composition, is crucial to the study of materials and their applications. Despite considerable ongoing research efforts, crystal…

Materials Science · Physics 2017-07-26 Qi-Jun Hong , Joseph Yasi , Axel van de Walle

Crystallography, the primary method for determining the three-dimensional (3D) atomic positions in crystals, has been fundamental to the development of many fields of science. However, the atomic positions obtained from crystallography…

The advent of X-ray Free Electron Lasers promises the possibility to determine the structure of individual particles such as microcrystallites, viruses and biomolecules from single-shot diffraction snapshots obtained before the particle is…

Soft Condensed Matter · Physics 2010-05-06 Brian Moths , Abbas Ourmazd

Functional or non-coding RNAs are attracting more attention as they are now potentially considered valuable resources in the development of new drugs intended to cure several human diseases. The identification of drugs targeting the…

Genomics · Quantitative Biology 2019-12-25 Muhammad Nabeel Asima , Muhammad Imran Malik , Andreas Dengela , Sheraz Ahmed

X-ray crystallography rarely captures chemical bonding between atoms of a structure in question. Most of the time distance-based heuristics are applied to establish the pairs of bonded atoms. One class of such heuristics depends on a set of…

Protein structure determination has long been one of the primary challenges of structural biology, to which deep machine learning (ML)-based approaches have increasingly been applied. However, these ML models generally do not incorporate…

Biological Physics · Physics 2025-11-14 Tom Pan , Evan Dramko , Mitchell D. Miller , Anastasios Kyrillidis , George N. Phillips

Crystal Structure Prediction (csp) is one of the central and most challenging problems in materials science and computational chemistry. In csp, the goal is to find a configuration of ions in 3D space that yields the lowest potential…

Computational Complexity · Computer Science 2023-06-22 Duncan Adamson , Argyrios Deligkas , Vladimir Gusev , Igor Potapov

Determining the structure of a protein has been a decades-long open question. A protein's three-dimensional structure often poses nontrivial computation costs, when classical simulation algorithms are utilized. Advances in the transformer…

Machine Learning · Computer Science 2023-10-09 Chen Dun , Qiutai Pan , Shikai Jin , Ria Stevens , Mitchell D. Miller , George N. Phillips, , Anastasios Kyrillidis

The identification of low-energy conformers for a given molecule is a fundamental problem in computational chemistry and cheminformatics. We assess here a conformer search that employs a genetic algorithm for sampling the low-energy segment…

Biomolecules · Quantitative Biology 2015-11-24 Adriana Supady , Volker Blum , Carsten Baldauf

The ratio method has been developed to improve the study of one-neutron halo nuclei through reactions. By taking the ratio of angular distributions for two processes, viz. breakup and elastic scattering, this new observable is nearly…

Nuclear Theory · Physics 2020-01-08 X. Y. Yun , F. Colomer , D. Y. Pang , P. Capel

In computational molecular and materials science, determining equilibrium structures is the crucial first step for accurate subsequent property calculations. However, the recent discovery of millions of new crystals and complex twisted…

Atomistic simulations have become a powerful tool in materials research due to the extremely fine spatial and temporal resolution provided by such techniques. In order to understand the fundamental principles which govern material behavior…

Materials Science · Physics 2014-08-26 Jason F. Panzarino , Timothy J. Rupert

A fundamental goal of research in molecular biology is to understand protein structure. Protein crystallography is currently the most successful method for determining the three-dimensional (3D) conformation of a protein, yet it remains…

Artificial Intelligence · Computer Science 2014-11-17 L. Leherte , J. Glasgow , K. Baxter , E. Steeg , S. Fortier

The analysis of entangled atomic ensembles and their application for interferometry beyond the standard quantum limit requires an accurate determination of the number of atoms. We present an accurate fluorescence detection technique for…

Quantum Physics · Physics 2019-12-13 A. Hüper , C. Pür , M. Hetzel , J. Geng , J. Peise , I. Kruse , M. Kristensen , W. Ertmer , J. Arlt , C. Klempt

Single-particle electron microscopy is a modern technique that biophysicists employ to learn the structure of proteins. It yields data that consist of noisy random projections of the protein structure in random directions, with the added…

Applications · Statistics 2012-03-01 Victor M. Panaretos , Kjell Konis

An algorithm has been developed for finding the global minimum of a multidimensional error function by fitting model spectral maps into observed ones. Principal component analysis is applied to reduce the dimensionality of the model and the…

Astrophysics of Galaxies · Physics 2021-03-10 L. E. Pirogov , P. M. Zemlyanukha

Convex optimization recently emerges as a compelling framework for performing super resolution, garnering significant attention from multiple communities spanning signal processing, applied mathematics, and optimization. This article offers…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Yuejie Chi , Maxime Ferreira Da Costa

The CryoEM single particle imaging method has recently received broad attention in the field of structural biology for determining the structures of biological molecules. The structures can be resolved to near-atomic resolutions after…

Biomolecules · Quantitative Biology 2017-12-27 Yihua Wang , Daqi Yu , Qi Ouyang , Haiguang Liu

Crystal structure prediction (CSP) is a useful tool in pharmaceutical development for identifying and assessing risks associated with polymorphism, yet widespread adoption has been hindered by high computational costs and the need for both…

Chemical Physics · Physics 2025-07-23 Zachary L. Glick , Derek P. Metcalf , Scott F. Swarthout
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