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Cryo-electron microscopy (cryo-EM) has emerged as a powerful technique for determining the three-dimensional structures of biological molecules at near-atomic resolution. However, reconstructing helical assemblies presents unique challenges…

Quantitative Methods · Quantitative Biology 2026-03-16 Guy Shapira , Yoel Shkolnisky

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…

Biomolecules · Quantitative Biology 2018-01-17 Pilar Cossio , David Rohr , Fabio Baruffa , Markus Rampp , Volker Lindenstruth , Gerhard Hummer

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…

Numerical Analysis · Mathematics 2025-11-17 Jeremy Hoskins , Yuehaw Khoo , Oscar Mickelin , Amit Singer , Yuguan Wang

Cryo-electron microscopy is a state-of-the-art method for determining high-resolution three-dimensional models of molecules, from their two-dimensional projection images taken by an electron microscope. A crucial step in this method is to…

Image and Video Processing · Electrical Eng. & Systems 2022-12-16 Eitan Rosen , Yoel Shkolnisky

The central problem in cryo-electron microscopy (cryo-EM) is to recover the 3D structure from noisy 2D projection images which requires estimating the missing projection angles (poses). Recent methods attempted to solve the 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-02-15 Lin Yao , Ruihan Xu , Zhifeng Gao , Guolin Ke , Yuhang Wang

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…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Szu-Chi Chung , Po-Cheng Chou

Particle picking is a time-consuming step in single-particle analysis and often requires significant interventions from users, which has become a bottleneck for future automated electron cryo-microscopy (cryo-EM). Here we report a deep…

Quantitative Methods · Quantitative Biology 2016-05-09 Feng Wang , Huichao Gong , Gaochao liu , Meijing Li , Chuangye Yan , Tian Xia , Xueming Li , Jianyang Zeng

A major challenge in single-particle cryo-electron microscopy (cryo-EM) is that the orientations adopted by the 3D particles prior to imaging are unknown; yet, this knowledge is essential for high-resolution reconstruction. We present a…

Machine Learning · Computer Science 2021-04-14 Jelena Banjac , Laurène Donati , Michaël Defferrard

We revisit the topic of common lines between projection images in single particle cryo-electron microscopy (cryo-EM). We derive a novel low-rank constraint on a certain $2n \times n$ matrix storing properly-scaled basis vectors for the…

Optimization and Control · Mathematics 2024-06-10 Tommi Muller , Adriana L. Duncan , Eric J. Verbeke , Joe Kileel

Different tasks in the computational pipeline of single-particle cryo-electron microscopy (cryo-EM) require enhancing the quality of the highly noisy raw images. To this end, we develop an efficient algorithm for signal enhancement of…

Image and Video Processing · Electrical Eng. & Systems 2022-12-06 Guy Sharon , Yoel Shkolnisky , Tamir Bendory

Resolving the structural variability of proteins is often key to understanding the structure-function relationship of those macromolecular machines. Single particle analysis using Cryogenic electron microscopy (CryoEM), combined with…

Quantitative Methods · Quantitative Biology 2022-11-22 Muyuan Chen , Bogdan Toader , Roy Lederman

Cryo-electron microscopy (cryo-EM) is a powerful technique in structural biology and drug discovery, enabling the study of biomolecules at high resolution. Significant advancements by structural biologists using cryo-EM have led to the…

Biomolecules · Quantitative Biology 2024-12-05 Yi Zhou , Yilai Li , Jing Yuan , Quanquan Gu

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-EM reconstruction algorithms seek to determine a molecule's 3D density map from a series of noisy, unlabeled 2D projection images captured with an electron microscope. Although reconstruction algorithms typically model the 3D volume as…

Biomolecules · Quantitative Biology 2021-07-06 Ellen D. Zhong , Adam Lerer , Joseph H. Davis , Bonnie Berger

The Cryo-EM 3D particle reconstruction is essential for identifying protein and uncover the biological mechanism of the macro-molecules. In this paper, we use Kam method for reconstruction. Kam method is \textit{ab-initio}, and it assumes…

Quantitative Methods · Quantitative Biology 2019-06-21 Yin Xian

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

Electron cryomicroscopy (cryo-EM) is a technique in structural biology used to reconstruct accurate volumetric maps of molecules. One step of the cryo-EM pipeline involves solving an inverse-problem. This inverse-problem, referred to as…

Quantitative Methods · Quantitative Biology 2024-11-26 Aaditya V. Rangan , Wai-Shing Tang , Pilar Cossio , Kexin Zhang , Nikolaus Grigorieff

Cryo-electron tomography enables 3D visualization of cells in a near native state at molecular resolution. The produced cellular tomograms contain detailed information about all macromolecular complexes, their structures, their abundances…

Quantitative Methods · Quantitative Biology 2019-04-30 Min Xu , Elitza I Tocheva , Yi-Wei Chang , Grant J Jensen , Frank Alber

The missing phase problem in X-ray crystallography is commonly solved using the technique of molecular replacement, which borrows phases from a previously solved homologous structure, and appends them to the measured Fourier magnitudes of…

Computer Vision and Pattern Recognition · Computer Science 2017-04-27 Tejal Bhamre , Teng Zhang , Amit Singer

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
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