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Single-particle electron cryomicroscopy (cryo-EM) is an increasingly popular technique for elucidating the three-dimensional structure of proteins and other biologically significant complexes at near-atomic resolution. It is an imaging…

Computational Physics · Physics 2020-04-01 Amit Singer , Fred J. Sigworth

Single particle cryo-electron microscopy is a vital tool for 3D characterization of protein structures. A typical workflow involves acquiring projection images of a collection of randomly oriented particles, picking and classifying…

Image and Video Processing · Electrical Eng. & Systems 2021-03-22 S. V. Venkatakrishnan , Puneet Juneja , Hugh O'Neill

Single particle cryo-electron microscopy has become a critical tool in structural biology over the last decade, able to achieve atomic scale resolution in three dimensional models from hundreds of thousands of (noisy) two-dimensional…

Numerical Analysis · Mathematics 2023-07-19 Aaditya V. Rangan , Leslie Greengard

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 propose a method to reconstruct the 3-D molecular structure from micrographs collected at just one sample tilt angle in the random conical tilt scheme in cryo-electron microscopy. Our method uses autocorrelation analysis on the…

Data Analysis, Statistics and Probability · Physics 2021-01-12 Ti-Yen Lan , Nicolas Boumal , Amit Singer

Cryogenic electron microscopy (cryo-EM) provides images from different copies of the same biomolecule in arbitrary orientations. Here, we present an end-to-end unsupervised approach that learns individual particle orientations from cryo-EM…

Image and Video Processing · Electrical Eng. & Systems 2021-07-08 Youssef S. G. Nashed , Frederic Poitevin , Harshit Gupta , Geoffrey Woollard , Michael Kagan , Chuck Yoon , Daniel Ratner

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 single-particle cryo-electron microscopy (cryo-EM) measurement, called a micrograph, consists of multiple two-dimensional tomographic projections of a three-dimensional (3-D) molecular structure at unknown locations, taken under unknown…

Image and Video Processing · Electrical Eng. & Systems 2026-03-10 Shay Kreymer , Amit Singer , Tamir Bendory

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

Revealing the structure of complex biological macromolecules, such as proteins, is an essential step for understanding the chemical mechanisms that determine the diversity of their functions. Synchrotron based x-ray crystallography and…

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

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method to resolve biological macromolecules. In a cryo-EM experiment, the microscope produces…

Information Theory · Computer Science 2022-10-28 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

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

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…

Numerical Analysis · Mathematics 2023-05-03 Tamir Bendory , Yuehaw Khoo , Joe Kileel , Oscar Mickelin , Amit Singer

The short and intense pulses of the new X-ray free electron lasers, now operational or under construction, may make possible diffraction experiments on single molecule-sized objects with high resolution, before radiation damage destroys the…

Data Analysis, Statistics and Probability · Physics 2012-04-11 Miklós Tegze , Gábor Bortel

The application that motivates this paper is molecular imaging at the atomic level. When discretized at sub-atomic distances, the volume is inherently sparse. Noiseless measurements from an imaging technology can be modeled by convolution…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Michael Ting , Raviv Raich , Alfred O. Hero

Single particle diffraction imaging experiments at free-electron lasers (FEL) have a great potential for structure determination of reproducible biological specimens that can not be crystallized. One of the challenges in processing the data…

Biological Physics · Physics 2013-10-16 O. M. Yefanov , I. A. Vartanyants

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…

Applications · Statistics 2013-12-02 Mikhail Langovoy , Michael Habeck , Bernhard Schoelkopf

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

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
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