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Determining the three-dimensional structure of proteins and protein complexes at atomic resolution is a fundamental task in structural biology. Over the last decade, remarkable progress has been made using "single particle" cryo-electron…

数值分析 · 数学 2017-06-05 Alex Barnett , Leslie Greengard , Andras Pataki , Marina Spivak

One of the difficulties in 3D reconstruction of molecules from images in single particle Cryo-Electron Microscopy (Cryo-EM), in addition to high levels of noise and unknown image orientations, is heterogeneity in samples: in many cases, the…

计算机视觉与模式识别 · 计算机科学 2016-07-13 Roy R. Lederman , Amit Singer

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

Cryo-electron microscopy (cryo-EM) has achieved near-atomic level resolution of biomolecules by reconstructing 2D micrographs. However, the resolution and accuracy of the reconstructed particles are significantly reduced due to the…

计算机视觉与模式识别 · 计算机科学 2024-01-03 Jing Zhang , Tengfei Zhao , ShiYu Hu , Xin Zhao

Single-particle cryo-electron microscopy (cryo-EM) reconstructs the three-dimensional (3D) structure of bio-molecules from a large set of 2D projection images with random and unknown orientations. A crucial step in the single-particle…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Mona Zehni , Laurène Donati , Emmanuel Soubies , Zhizhen J. Zhao , Michael Unser

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

Determining the 3D structures of biological molecules is a key problem for both biology and medicine. Electron Cryomicroscopy (Cryo-EM) is a promising technique for structure estimation which relies heavily on computational methods to…

机器学习 · 统计学 2015-01-29 Ali Punjani , Marcus A. Brubaker

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…

数值分析 · 数学 2023-05-03 Tamir Bendory , Yuehaw Khoo , Joe Kileel , Oscar Mickelin , Amit Singer

Cryo-electron microscopy (cryo-EM) is an emerging experimental method to characterize the structure of large biomolecular assemblies. Single particle cryo-EM records 2D images (so-called micrographs) of projections of the three-dimensional…

应用统计 · 统计学 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schoelkopf

Cryogenic electron microscopy (cryo-EM) provides a unique opportunity to study the structural heterogeneity of biomolecules. Being able to explain this heterogeneity with atomic models would help our understanding of their functional…

The group synchronization problem involves estimating a collection of group elements from noisy measurements of their pairwise ratios. This task is a key component in many computational problems, including the molecular reconstruction…

信号处理 · 电气工程与系统科学 2022-12-09 Noam Janco , Tamir Bendory

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

Differentiating signals from the background in micrographs is a critical initial step for cryogenic electron microscopy (cryo-EM), yet it remains laborious due to low signal-to-noise ratio (SNR), the presence of contaminants and densely…

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

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) 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…

定量方法 · 定量生物学 2021-05-25 Nina Miolane , Frédéric Poitevin , Yee-Ting Li , Susan Holmes

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…

数据分析、统计与概率 · 物理学 2017-09-05 Yanan Zhu , Qi Ouyang , Youdong Mao

The cryo-electron microscopy (Cryo-EM) becomes popular for macromolecular structure determination. However, the 2D images which Cryo-EM detects are of high noise and often mixed with multiple heterogeneous conformations or contamination,…

图像与视频处理 · 电气工程与系统科学 2022-02-22 Hanlin Gu , Yin Xian , Ilona Christy Unarta , Yuan Yao

Cryo-electron microscopy (EM) single particle reconstruction is an entirely general technique for 3D structure determination of macromolecular complexes. However, because the images are taken at low electron dose, it is extremely hard to…

计算机视觉与模式识别 · 计算机科学 2019-04-17 Yifeng Fan , Zhizhen Zhao

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…

The method of common lines is a well-established reconstruction technique in cryogenic electron microscopy (cryo-EM), which can be used to extract the relative orientations of an object given tomographic projection images from different…

数值分析 · 数学 2024-07-03 Michael Quellmalz , Peter Elbau , Otmar Scherzer , Gabriele Steidl