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Related papers: Mathematics for cryo-electron microscopy

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Cellular Electron CryoTomography (CECT) is a 3D imaging technique that captures information about the structure and spatial organization of macromolecular complexes within single cells, in near-native state and at sub-molecular resolution.…

Quantitative Methods · Quantitative Biology 2018-07-04 Kai Wen Wang , Xiangrui Zeng , Xiaodan Liang , Zhiguang Huo , Eric P. Xing , Min Xu

This comprehensive review discusses the development of scanning electron microscopy and the application of this technology in different fields such as biology, nanobiotechnology and biomedical science. Besides being a tool for high…

Quantitative Methods · Quantitative Biology 2023-11-02 Aniruddha Acharya

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

The current state of the art in structural biology is led by NMR, X-ray crystallography and TEM investigations. These powerful tools however all rely on averaging over a large ensemble of molecules. Here, we present an alternative concept…

Atomic and Molecular Clusters · Physics 2015-12-15 Tatiana Latychevskaia , Jean-Nicolas Longchamp , Conrad Escher , Hans-Werner Fink

Cryogenic Electron Tomography (CryoET) is a useful imaging technology in structural biology that is hindered by its need for manual annotations, especially in particle picking. Recent works have endeavored to remedy this issue with few-shot…

Quantitative Methods · Quantitative Biology 2024-07-10 Yizhou Zhao , Hengwei Bian , Michael Mu , Mostofa R. Uddin , Zhenyang Li , Xiang Li , Tianyang Wang , Min Xu

Electron Cryo-Tomography (ECT) enables 3D visualization of macromolecule structure inside single cells. Macromolecule classification approaches based on convolutional neural networks (CNN) were developed to separate millions of…

Quantitative Methods · Quantitative Biology 2018-03-28 Jialiang Guo , Bo Zhou , Xiangrui Zeng , Zachary Freyberg , Min Xu

Electron cryo-microscopy (cryo-EM) produces three-dimensional (3D) maps of the electrostatic potential of biological macromolecules, including proteins. Along with knowledge about the imaged molecules, cryo-EM maps allow de novo atomic…

Quantitative Methods · Quantitative Biology 2023-02-09 Kiarash Jamali , Dari Kimanius , Sjors H. W. Scheres

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

We introduce a framework for recovering an image from its rotationally and translationally invariant features based on autocorrelation analysis. This work is an instance of the multi-target detection statistical model, which is mainly used…

Image and Video Processing · Electrical Eng. & Systems 2022-03-03 Nicholas F. Marshall , Ti-Yen Lan , Tamir Bendory , Amit Singer

Although defocus can be used to generate partial phase contrast in transmission electron microscope images, cryo-electron microscopy (cryo-EM) can be further improved by the development of phase plates which increase contrast by applying a…

Quantitative Methods · Quantitative Biology 2024-03-14 Jeremy J. Axelrod , Jessie T. Zhang , Petar N. Petrov , Robert M. Glaeser , Holger Mueller

Cryo-electron microscopy (cryo-EM) enables the atomic-resolution visualization of biomolecules; however, modern direct detectors generate data volumes that far exceed the available storage and transfer bandwidth, thereby constraining…

Image and Video Processing · Electrical Eng. & Systems 2026-03-31 Zain Shabeeb , Daniel Saeedi , Darin Tsui , Vida Jamali , Amirali Aghazadeh

We consider the problem of recovering the three-dimensional atomic structure of a flexible macromolecule from a heterogeneous cryo-EM dataset. The dataset contains noisy tomographic projections of the electrostatic potential of the…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Carlos Esteve-Yagüe , Willem Diepeveen , Ozan Öktem , Carola-Bibiane Schönlieb

Cryo-electron microscopy (cryo-EM) is an imaging modality that provides unique insights into the dynamics of proteins and other building blocks of life. The algorithmic challenge of jointly estimating the poses, 3D structure, and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Axel Levy , Gordon Wetzstein , Julien Martel , Frederic Poitevin , Ellen D. Zhong

Electron microscopy (EM) has been instrumental in our understanding of biological systems ranging from subcellular structures to complex organisms. Although EM reveals cellular morphology with nanoscale resolution, it does not provide…

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

Electron cryotomography (CryoET) is currently the only method capable of visualizing cells in 3D at nanometer resolutions. While modern instruments produce massive amounts of tomography data containing extremely rich structural information,…

Quantitative Methods · Quantitative Biology 2021-07-01 Muyuan Chen , James M. Bell , Xiaodong Shi , Stella Y. Sun , Zhao Wang , Steven J. Ludtke

Modern microscopy techniques are aimed at imaging an individual molecule at atomic resolution. Here we show that low-energy electrons with kinetic energies of 50-250 eV offer a possibility of overcome the problem of radiation damage, and…

Biological Physics · Physics 2013-05-09 Tatiana Latychevskaia , Jean-Nicolas Longchamp , Conrad Escher , Hans-Werner Fink

Cryo-electron microscopy (cryoEM) is an increasingly popular method for protein structure determination. However, identifying a sufficient number of particles for analysis (often >100,000) can take months of manual effort. Current…

Quantitative Methods · Quantitative Biology 2019-10-17 Tristan Bepler , Andrew Morin , Julia Brasch , Lawrence Shapiro , Alex J. Noble , Bonnie Berger

Cryogenic electron microscopy (Cryo-EM) has become an essential tool for capturing high-resolution biological structures. Despite its advantage in visualizations, the large storage size of Cryo-EM data file poses significant challenges for…

Machine Learning · Computer Science 2025-12-16 Chunyu Zou

Pure and homogeneous biological macromolecules (i.e. proteins, nucleic acids, protein-protein or protein-nucleic acid complexes, and functional assemblies such as ribosomes and viruses) are the key for consistent and reliable biochemical…

Biomolecules · Quantitative Biology 2017-11-28 Bernard Lorber