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Cryo-electron microscopy (cryo-EM) has recently emerged as a powerful tool for obtaining three-dimensional (3D) structures of biological macromolecules in native states. A minimum cryo-EM image data set for deriving a meaningful…

Applications · Statistics 2014-04-28 Ting-Li Chen , Dai-Ni Hsieh , Hung Hung , I-Ping Tu , Pei-Shien Wu , Yi-Ming Wu , Wei-Hau Chang , Su-Yun Huang

Cryo-electron tomography (cryoET) is a crucial technique for unveiling the structure of protein complexes. Automatically analyzing tomograms captured by cryoET is an essential step toward understanding cellular structures. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Yusuke Uchida , Takaaki Fukui

Cryo-electron tomography (cryo-ET) has emerged as a powerful technique for imaging macromolecular complexes in their near-native states. However, the localization of 3D particles in cellular environments still presents a significant…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Gokul Adethya , Bhanu Pratyush Mantha , Tianyang Wang , Xingjian Li , 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

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method for biological macromolecules. Cryo-EM was selected by Nature Methods as Method of the…

Computational Physics · Physics 2018-03-20 Amit Singer

Cryo-electron microscopy (cryo-EM) has recently become a premier method for obtaining high-resolution structures of biological macromolecules. However, it is limited to biomolecular samples with low conformational heterogeneity, where all…

A single-particle cryo-electron microscopy (cryo-EM) measurement, called a micrograph, consists of multiple two-dimensional tomographic projections of a three-dimensional (3-D) molecular structure at unknown locations, taken under unknown…

Image and Video Processing · Electrical Eng. & Systems 2026-03-10 Shay Kreymer , Amit Singer , Tamir Bendory

In the past decade, deep conditional generative models have revolutionized the generation of realistic images, extending their application from entertainment to scientific domains. Single-particle cryo-electron microscopy (cryo-EM) is…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Jiakai Zhang , Qihe Chen , Yan Zeng , Wenyuan Gao , Xuming He , Zhijie Liu , Jingyi Yu

Protein structure prediction models are now capable of generating accurate 3D structural hypotheses from sequence alone. However, they routinely fail to capture the conformational diversity of dynamic biomolecular complexes, often requiring…

Machine Learning · Computer Science 2025-12-02 Rishwanth Raghu , Axel Levy , Gordon Wetzstein , Ellen D. Zhong

Cryo-electron microscopy (cryo-EM) has become a tool of fundamental importance in structural biology, helping us understand the basic building blocks of life. The algorithmic challenge of cryo-EM is to jointly estimate the unknown 3D poses…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Axel Levy , Frédéric Poitevin , Julien Martel , Youssef Nashed , Ariana Peck , Nina Miolane , Daniel Ratner , Mike Dunne , Gordon Wetzstein

Cellular Electron Cryo-Tomography (CECT) is a powerful 3D imaging tool for studying the native structure and organization of macromolecules inside single cells. For systematic recognition and recovery of macromolecular structures captured…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Chang Liu , Xiangrui Zeng , Kaiwen Wang , Qiang Guo , Min Xu

Single particle cryo-electron microscopy (EM) is an increasingly popular method for determining the 3-D structure of macromolecules from noisy 2-D images of single macromolecules whose orientations and positions are random and unknown. One…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Roy R. Lederman , Amit Singer

The recent improvements in cryo-electron microscopy (cryo-EM) in the past few years are now allowing to observe molecular complexes at atomic resolution. As a consequence, numerous structures derived from cryo-EM are now available in the…

Biomolecules · Quantitative Biology 2020-05-04 Mikael Trellet , Gydo van Zundert , Alexandre M. J. J. Bonvin

Background: Single-particle cryo-electron microscopy (cryo-EM) has become a popular tool for structural determination of biological macromolecular complexes. High-resolution cryo-EM reconstruction often requires hundreds of thousands of…

Data Analysis, Statistics and Probability · Physics 2017-09-05 Yanan Zhu , Qi Ouyang , Youdong Mao

Cryogenic electron microscopy (cryo-EM) is an invaluable technique for determining high-resolution three-dimensional structures of biological macromolecules using transmission particle images. The inherent symmetry in these macromolecules…

Optimization and Control · Mathematics 2024-11-06 Qi Zhang , Chenglong Bao , Hai Lin , Mingxu Hu

Single particle electron cryomicroscopy (cryo-EM) allows for structures of proteins and protein complexes to be determined from images of non-crystalline specimens. Cryo-EM data analysis requires electron microscope images of randomly…

Instrumentation and Detectors · Physics 2015-11-23 Jianhua Zhao , Marcus A. Brubaker , Samir Benlekbir , John L. Rubinstein

Constructing of molecular structural models from Cryo-Electron Microscopy (Cryo-EM) density volumes is the critical last step of structure determination by Cryo-EM technologies. Methods have evolved from manual construction by structural…

Machine Learning · Computer Science 2019-02-13 Kui Xu , Zhe Wang , Jiangping Shi , Hongsheng Li , Qiangfeng Cliff Zhang

Transmission electron microscopy (TEM) is a potent technique for the determination of three-dimensional atomic scale structure of samples in structural biology and materials science. In structural biology, three-dimensional structures of…

In this paper we study the formal algebraic structure underlying the intrinsic classification algorithm, recently introduced by Hadani, Shkolnisky, Singer and Zhao, for classifying noisy projection images of similar viewing directions in…

Representation Theory · Mathematics 2011-04-07 Ronny Hadani , Amit Singer

Cryo-electron microscopy is a technique in structural biology for discovering/determining the 3D structure of small molecules. A key step in this process is detecting common lines of intersection between unknown embedded image planes. We…

Algebraic Geometry · Mathematics 2014-02-25 David Dynerman