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Single particle reconstruction (SPR) from cryo-electron microscopy (EM) is a technique in which the 3D structure of a molecule needs to be determined from its contrast transfer function (CTF) affected, noisy 2D projection images taken at…

Applications · Statistics 2017-06-30 Tejal Bhamre , Zhizhen Zhao , Amit Singer

The three-dimensional structure of proteins plays a crucial role in determining their function. Protein structure prediction methods, like AlphaFold, offer rapid access to a protein structure. However, large protein complexes cannot be…

Biomolecules · Quantitative Biology 2025-03-05 Gabriel Ducrocq , Lukas Grunewald , Sebastian Westenhoff , Fredrik Lindsten

A main task in cryo-electron microscopy single particle reconstruction is to find a three-dimensional model of a molecule given a set of its randomly oriented and positioned noisy projection-images. In this work, we propose an algorithm for…

Computational Physics · Physics 2022-11-11 Adi Shasha Geva , Yoel Shkolnisky

We consider the problem of estimating an unbiased and reference-free ab-inito model for non-symmetric molecules from images generated by single-particle cryo-electron microscopy. The proposed algorithm finds the globally optimal assignment…

Quantitative Methods · Quantitative Biology 2018-10-30 Ido Greenberg , Yoel Shkolnisky

We presented a new 3D refinement method for Cryo-EM single particle analysis which can improve the resolution of final electron density map in this paper. We proposed to enforce both sparsity and smoothness to improve the regularity of…

Image and Video Processing · Electrical Eng. & Systems 2020-03-12 Zhenwei Luo

Cryogenic electron microscopy (cryo-EM) has transformed structural biology by allowing to reconstruct 3D biomolecular structures up to near-atomic resolution. However, the 3D reconstruction process remains challenging, as the 3D structures…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Bongjin Koo , Julien Martel , Ariana Peck , Axel Levy , Frédéric Poitevin , Nina Miolane

Motivated by applications to single-particle cryo-electron microscopy (cryo-EM), we study several problems of function estimation in a high noise regime, where samples are observed after random rotation and possible linear projection of the…

Statistics Theory · Mathematics 2022-10-06 Zhou Fan , Roy R. Lederman , Yi Sun , Tianhao Wang , Sheng Xu

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

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

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…

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

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

We present a geometry-aware method for heterogeneous single-particle cryogenic electron microscopy (cryo-EM) reconstruction that predicts atomic backbone conformations. To incorporate protein-structure priors, we represent the backbone as a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Jonathan Krook , Axel Janson , Joakim Andén , Melanie Weber , Ozan Öktem

We present a novel approach for extracting 3D atomic-level information from transmission electron microscopy (TEM) images affected by significant noise. The approach is based on formulating depth estimation as a semantic segmentation…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Matan Leibovich , Mai Tan , Ramon Manzorro , Adria Marcos-Morales , Sreyas Mohan , Peter A. Crozier , Carlos Fernandez-Granda

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

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…

Machine Learning · Statistics 2026-02-20 Roey Yadgar , Roy R. Lederman , Yoel Shkolnisky

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

Advances on cryo-electron imaging technologies have led to a rapidly increasing number of density maps. Alignment and comparison of density maps play a crucial role in interpreting structural information, such as conformational…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Bintao He , Fa Zhang , Chenjie Feng , Jianyi Yang , Xin Gao , Renmin Han

Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from unknown viewing directions. Many algorithms for SPR start…

Optimization and Control · Mathematics 2018-01-09 Eitan Levin , Tamir Bendory , Nicolas Boumal , Joe Kileel , Amit Singer

Background and Objective: The contrast of cryo-EM images varies from one to another, primarily due to the uneven thickness of the ice layer. This contrast variation can affect the quality of 2-D class averaging, 3-D ab-initio modeling, and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-01 Yunpeng Shi , Amit Singer
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