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Single-particle cryo-EM has transformed structural biology but still faces challenges in resolving conformational heterogeneity at atomic resolution. Existing cryo-EM heterogeneity analysis methods either lack atomic details or tend to…

Biomolecules · Quantitative Biology 2025-10-21 Chengwei Zhang , Shimian Li , Yihao Niu , Zhen Zhu , Sihao Yuan , Sirui Liu , Yi Qin Gao

Cryo-electron tomography (cryo-ET) has emerged as a powerful tool for studying the structural heterogeneity of proteins and their complexes, offering insights into macromolecular dynamics directly within cells. Driven by recent…

Biomolecules · Quantitative Biology 2025-07-01 Jackson Carrion , Joseph H. Davis

Cryo-electron microscopy (cryo-EM) is an experimental technique for protein structure determination that images an ensemble of macromolecules in near-physiological contexts. While recent advances enable the reconstruction of dynamic…

Cryo-electron microscopy (cryo-EM) is a powerful imaging technique for reconstructing three-dimensional molecular structures from noisy tomographic projection images of randomly oriented particles. We introduce a new data fusion framework,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Joe Kileel , Oscar Mickelin , Amit Singer , Sheng Xu

Cryo-Electron Microscopy (cryo-EM) has emerged as a key technology to determine the structure of proteins, particularly large protein complexes and assemblies in recent years. A key challenge in cryo-EM data analysis is to automatically…

Biomolecules · Quantitative Biology 2023-04-04 Nabin Giri , Raj S. Roy , Jianlin Cheng

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

Cryo-Electron Microscopy (Cryo-EM) is a Nobel prize-winning technology for determining the 3D structure of particles at near-atomic resolution. A fundamental step in the recovering of the 3D single-particle structure is to align its 2D…

Image and Video Processing · Electrical Eng. & Systems 2021-01-12 Koby Bibas , Gili Weiss-Dicker , Dana Cohen , Noa Cahan , Hayit Greenspan

Cryo-electron microscopy (cryo-EM) is capable of producing reconstructed 3D images of biomolecules at near-atomic resolution. As such, it represents one of the most promising imaging techniques in structural biology. However, raw cryo-EM…

Quantitative Methods · Quantitative Biology 2021-05-25 Nina Miolane , Frédéric Poitevin , Yee-Ting Li , Susan Holmes

Motivated by the task of 2-D classification in single particle reconstruction by cryo-electron microscopy (cryo-EM), we consider the problem of heterogeneous multireference alignment of images. In this problem, the goal is to estimate a…

Image and Video Processing · Electrical Eng. & Systems 2019-10-03 Chao Ma , Tamir Bendory , Nicolas Boumal , Fred Sigworth , Amit Singer

Cryo-electron tomography (cryo-ET) is an imaging technique that allows three-dimensional visualization of macro-molecular assemblies under near-native conditions. Cryo-ET comes with a number of challenges, mainly low signal-to-noise and…

Single-particle electron cryomicroscopy is an essential tool for high-resolution 3D reconstruction of proteins and other biological macromolecules. An important challenge in cryo-EM is the reconstruction of non-rigid molecules with parts…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 Amit Moscovich , Amit Halevi , Joakim Andén , Amit Singer

Structural dynamics of macromolecules is critical to their structural-function relationship. Cryogenic electron microscopy (CryoEM) provides snapshots of vitrified protein at different compositional and conformational states, and the…

Quantitative Methods · Quantitative Biology 2026-01-27 Muyuan Chen , Muchen Li , Renjie Liao

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

The goal of cryo-electron microscopy (EM) is to reconstruct the 3-dimensional structure of a molecule from a collection of its 2-dimensional projected images. In this article, we show that the basic premise of cryo-EM --- patching together…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Ke Ye , Lek-Heng Lim

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

Cryo-electron microscopy (cryo-EM) enables single-particle analysis of biological macromolecules under strict low-dose imaging conditions, but the resulting micrographs often exhibit extremely low signal-to-noise ratios and weak particle…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Xiaoqi Wu , Xueying Zhan , Wen Li , Junhao Wu , Xin Huang , Min Xu

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method to resolve biological macromolecules. In a cryo-EM experiment, the microscope produces…

Information Theory · Computer Science 2022-10-28 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

The field of cryo-electron microscopy has made astounding advancements in the past few years, mainly due to advancements in electron detectors' technology. Yet, one of the key open challenges of the field remains the processing of…

Computer Vision and Pattern Recognition · Computer Science 2019-10-04 Yariv Aizenbud , Yoel Shkolnisky

The growing role of data-driven approaches to scientific discovery has unveiled a large class of models that involve latent transformations with a rigid algebraic constraint. Three-dimensional molecule reconstruction in Cryo-Electron…

Information Theory · Computer Science 2019-06-04 Amelia Perry , Jonathan Weed , Afonso S. Bandeira , Philippe Rigollet , Amit Singer

Single particle cryogenic electron microscopy (cryo-EM) is an imaging technique capable of recovering the high-resolution 3-D structure of biological macromolecules from many noisy and randomly oriented projection images. One notable…

Biomolecules · Quantitative Biology 2024-01-30 Andy Zhang , Oscar Mickelin , Joe Kileel , Eric J. Verbeke , Nicholas F. Marshall , Marc Aurèle Gilles , Amit Singer