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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…

图像与视频处理 · 电气工程与系统科学 2019-10-03 Chao Ma , Tamir Bendory , Nicolas Boumal , Fred Sigworth , Amit Singer

Cryo-Electron Microscopy (cryo-EM) has become an extremely powerful method for resolving structural details of large biomolecular complexes. However, challenging problems in single-particle methods remain open because of (1) the low…

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…

计算机视觉与模式识别 · 计算机科学 2018-07-04 Chang Liu , Xiangrui Zeng , Kaiwen Wang , Qiang Guo , Min Xu

In cryo-electron microscopy (EM), molecular structures are determined from large numbers of projection images of individual particles. To harness the full power of this single-molecule information, we use the Bayesian inference of EM…

生物大分子 · 定量生物学 2018-01-17 Pilar Cossio , David Rohr , Fabio Baruffa , Markus Rampp , Volker Lindenstruth , Gerhard Hummer

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…

表示论 · 数学 2011-04-07 Ronny Hadani , Amit Singer

Cryo-EM data processing typically focuses on the structure of the main conformational state under investigation and discards images that belong to other states. This approach can reach atomic resolution, but ignores vast amounts of valuable…

生物大分子 · 定量生物学 2024-02-20 Felix Lambrecht , Andreas Kröpelin , Mario Lüttich , Michael Habeck , David Haselbach , Holger Stark

The computational pipelines of single-particle cryo-electron microscopy (cryo-EM) and cryo-electron tomography (cryo-ET) include an early particle-picking stage, in which a micrograph or tomogram is scanned to extract candidate particles,…

信号处理 · 电气工程与系统科学 2026-04-14 Amnon Balanov , Alon Zabatani , Tamir Bendory

Cryogenic electron microscopy (cryo-EM) has become an enabling technology in drug discovery and in understanding molecular bases of disease by producing near-atomic resolution (less than 0.4 nm) 3D reconstructions of biological…

计算机视觉与模式识别 · 计算机科学 2020-07-23 Hong Xu , David E. Timm , Shireen Y. Elhabian

In single-particle cryo-electron microscopy (cryo-EM), the efficient determination of orientation parameters for 2D projection images poses a significant challenge yet is crucial for reconstructing 3D structures. This task is complicated by…

图像与视频处理 · 电气工程与系统科学 2025-09-30 Szu-Chi Chung

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…

信息论 · 计算机科学 2019-06-04 Amelia Perry , Jonathan Weed , Afonso S. Bandeira , Philippe Rigollet , Amit Singer

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…

计算机视觉与模式识别 · 计算机科学 2026-04-21 Xiaoqi Wu , Xueying Zhan , Wen Li , Junhao Wu , Xin Huang , Min Xu

Cryo-electron tomography (cryo-ET) is an emerging technology for the 3D visualization of structural organizations and interactions of subcellular components at near-native state and sub-molecular resolution. Tomograms captured by cryo-ET…

定量方法 · 定量生物学 2020-11-02 Xiangrui Zeng , Min Xu

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…

定量方法 · 定量生物学 2026-01-27 Muyuan Chen , Muchen Li , Renjie Liao

Cryo-electron microscopy (cryo-EM) has emerged as a powerful technique for resolving the three-dimensional structures of macromolecules. A key challenge in cryo-EM is characterizing continuous heterogeneity, where molecules adopt a…

机器学习 · 统计学 2026-02-20 Roey Yadgar , Roy R. Lederman , Yoel Shkolnisky

Single-particle cryo-electron microscopy (cryo-EM) has become one of the mainstream structural biology techniques because of its ability to determine high-resolution structures of dynamic bio-molecules. However, cryo-EM data acquisition…

机器学习 · 计算机科学 2022-04-18 Quanfu Fan , Yilai Li , Yuguang Yao , John Cohn , Sijia Liu , Seychelle M. Vos , Michael A. Cianfrocco

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…

仪器与探测器 · 物理学 2015-11-23 Jianhua Zhao , Marcus A. Brubaker , Samir Benlekbir , John L. Rubinstein

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…

定量方法 · 定量生物学 2021-04-06 Nathan Ranno , Dong Si

Cellular processes are governed by macromolecular complexes inside the cell. Study of the native structures of macromolecular complexes has been extremely difficult due to lack of data. With recent breakthroughs in Cellular electron cryo…

定量方法 · 定量生物学 2018-06-12 Chengqian Che , Ruogu Lin , Xiangrui Zeng , Karim Elmaaroufi , John Galeotti , Min Xu

Cryo-electron microscopy (cryo-EM) is a widely used technique for recovering the 3-D structure of biological molecules from a large number of experimentally generated noisy 2-D tomographic projection images of the 3-D structure, taken from…

数值分析 · 数学 2025-11-17 Jeremy Hoskins , Yuehaw Khoo , Oscar Mickelin , Amit Singer , Yuguan Wang

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…

数值分析 · 数学 2014-09-16 Gene Katsevich , Alexander Katsevich , Amit Singer