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In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of randomly-oriented copies of a molecule. The problem of single particle reconstruction (SPR) from cryo-EM is to use the resulting set of noisy 2D…

Numerical Analysis · Mathematics 2014-09-16 Gene Katsevich , Alexander Katsevich , Amit Singer

Advances in imagery at atomic and near-atomic resolution, such as cryogenic electron microscopy (cryo-EM), have led to an influx of high resolution images of proteins and other macromolecular structures to data banks worldwide. Producing a…

Quantitative Methods · Quantitative Biology 2021-04-06 Nathan Ranno , Dong Si

Structural flexibility and/or dynamic interactions with other molecules is a critical aspect of protein function. CryoEM provides direct visualization of individual macromolecules sampling different conformational and compositional states.…

Biomolecules · Quantitative Biology 2021-08-04 Muyuan Chen , Steven Ludtke

Cryo-Electron Tomography (cryo-ET) is a new 3D imaging technique with unprecedented potential for resolving submicron structural detail. Existing volume visualization methods, however, cannot cope with its very low signal-to-noise ratio. In…

Quantitative Methods · Quantitative Biology 2026-03-27 Ngan Nguyen , Ciril Bohak , Dominik Engel , Peter Mindek , Ondřej Strnad , Peter Wonka , Sai Li , Timo Ropinski , Ivan Viola

We presented a new 3D refinement method for Cryo-EM single particle analysis which can improve the resolution of final electron density map in this paper. We proposed to enforce both sparsity and smoothness to improve the regularity of…

Image and Video Processing · Electrical Eng. & Systems 2020-03-12 Zhenwei Luo

The application of PhotoEmission Electron Microscopy (PEEM) and Low Energy Electron Microscopy (LEEM) techniques to the study of the electronic and chemical structure of ferroelectric materials is reviewed. Electron optics in both…

Enhancing cryogenic electron microscopy (cryo-EM) 3D density maps at intermediate resolution (4-8 {\AA}) is crucial in protein structure determination. Recent advances in deep learning have led to the development of automated approaches for…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Chenwei Zhang , Khanh Dao Duc

Throughout the history of electron microscopy, ribosomes have served as an ideal subject for imaging and technological development, which in turn has driven our understanding of ribosomal biology. Here, we provide a historical perspective…

Biomolecules · Quantitative Biology 2023-08-31 Samantha M. Webster , Mira B. May , Barrett M. Powell , Joseph H. Davis

A crucial step in single particle analysis (SPA) of cryogenic electron microscopy (Cryo-EM), 2D classification and alignment takes a collection of noisy particle images to infer orientations and group similar images together. Averaging…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Supawit Chockchowwat , Chandrajit L. Bajaj

The number of noisy images required for molecular reconstruction in single-particle cryo-electron microscopy (cryo-EM) is governed by the autocorrelations of the observed, randomly-oriented, noisy projection images. In this work, we…

Numerical Analysis · Mathematics 2023-05-03 Tamir Bendory , Yuehaw Khoo , Joe Kileel , Oscar Mickelin , Amit Singer

Programmable self-assembly has recently enabled the creation of complex structures through precise control of the interparticle interactions and the particle geometries. Targeting ever more structurally complex, dynamic, and functional…

Electrical capacitance tomography (ECT) is a nonoptical imaging technique in which a map of the interior permittivity of a volume is estimated by making capacitance measurements at its boundary and solving an inverse problem. While previous…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Manar Abdelatty , Joseph Incandela , Kangping Hu , Joseph W. Larkin , Sherief Reda , Jacob K. Rosenstein

We propose a framework to jointly determine the deformation parameters and reconstruct the unknown volume in electron cryotomography (CryoET). CryoET aims to reconstruct three-dimensional biological samples from two-dimensional projections.…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Valentin Debarnot , Sidharth Gupta , Konik Kothari , Ivan Dokmanic

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

Nowadays, modern electron microscopes deliver images at atomic scale. The precise atomic structure encodes information about material properties. Thus, an important ingredient in the image analysis is to locate the centers of the atoms…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Benjamin Berkels , Benedikt Wirth

Electron ptychography has seen a recent surge of interest for phase sensitive imaging at atomic or near-atomic resolution. However, applications are so far mainly limited to radiation-hard samples because the required doses are too high for…

Computational Physics · Physics 2017-02-21 Philipp Michael Pelz , Wen Xuan Qiu , Robert Bücker , Günther Kassier , R. J. Dwayne Miller

Cryogenic electron microscopy is widely used in structural biology, but its resolution is often limited by the dynamics of the macromolecule. Here, we developed a refinement protocol based on Gaussian mixture models that integrates particle…

Quantitative Methods · Quantitative Biology 2023-08-31 Muyuan Chen , Michael F. Schmid , Wah Chiu

Proteins typically undergo conformational dynamics on the microsecond to millisecond timescale as they perform their function, which is much faster than the time-resolution of cryo-electron microscopy and has thus prevented real-time…

Biological Physics · Physics 2021-07-07 Jonathan M. Voss , Oliver F. Harder , Pavel K. Olshin , Marcel Drabbels , Ulrich J. Lorenz

A novel approach is proposed, where energy filtered electrons, carrying both chemical identity and electrical information, serve as fine and flexible electrodes in direct electrical measurements. The method, termed 'chemically resolved…

Materials Science · Physics 2009-11-10 Hagai Cohen

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