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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…

Machine Learning · Statistics 2015-01-29 Ali Punjani , Marcus A. Brubaker

Cryo-electron microscopy (cryo-EM) is a powerful technique for determining the structure of proteins and other macromolecular complexes at near-atomic resolution. In single particle cryo-EM, the central problem is to reconstruct the…

Quantitative Methods · Quantitative Biology 2020-02-18 Ellen D. Zhong , Tristan Bepler , Joseph H. Davis , Bonnie Berger

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

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

Single-particle cryo-electron microscopy (cryo-EM) is an emerging imaging modality capable of visualizing proteins and macro-molecular complexes at near-atomic resolution. The low electron-doses used to prevent sample radiation damage,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-24 Qinwen Huang , Ye Zhou , Xiaochen Du , Reed Chen , Jianyou Wang , Cynthia Rudin , Alberto Bartesaghi

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

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…

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

Cryo-electron microscopy (cryo-EM), the subject of the 2017 Nobel Prize in Chemistry, is a technology for determining the 3-D structure of macromolecules from many noisy 2-D projections of instances of these macromolecules, whose…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Roy R. Lederman , Joakim Andén , Amit Singer

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…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Mona Zehni , Laurène Donati , Emmanuel Soubies , Zhizhen J. Zhao , Michael Unser

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…

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

Many imaging modalities involve reconstruction of unknown objects from collections of noisy projections related by random rotations. In one of these modalities, cryogenic electron microscopy (cryo-EM), the extremely low signal-to-noise…

Image and Video Processing · Electrical Eng. & Systems 2025-10-16 Joakim Andén , Justus Sagemüller

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…

Numerical Analysis · Mathematics 2017-06-05 Alex Barnett , Leslie Greengard , Andras Pataki , Marina Spivak

We consider the problem of recovering the three-dimensional atomic structure of a flexible macromolecule from a heterogeneous cryo-EM dataset. The dataset contains noisy tomographic projections of the electrostatic potential of the…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Carlos Esteve-Yagüe , Willem Diepeveen , Ozan Öktem , Carola-Bibiane Schönlieb

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

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

Cryo-electron microscopy (cryo-EM) allows for the high-resolution reconstruction of 3D structures of proteins and other biomolecules. Successful reconstruction of both shape and movement greatly helps understand the fundamental processes of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-12 Xinhang Liu , Yan Zeng , Yifan Qin , Hao Li , Jiakai Zhang , Lan Xu , Jingyi Yu

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

Discovering the 3D atomic structure of molecules such as proteins and viruses is a fundamental research problem in biology and medicine. Electron Cryomicroscopy (Cryo-EM) is a promising vision-based technique for structure estimation which…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Marcus A. Brubaker , Ali Punjani , David J. Fleet