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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

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

Simulation-based inference provides a powerful framework for cryo-electron microscopy, employing neural networks in methods like CryoSBI to infer biomolecular conformations via learned latent representations. This latent space represents a…

Quantitative Methods · Quantitative Biology 2025-09-05 Luke Evans , Octavian-Vlad Murad , Lars Dingeldein , Pilar Cossio , Roberto Covino , Marina Meila

Scanning transmission electron microscopy (STEM) is now the primary tool for exploring functional materials on the atomic level. Often, features of interest are highly localized in specific regions in the material, such as ferroelectric…

Materials Science · Physics 2021-08-11 Nicole Creange , Ondrej Dyck , Rama K. Vasudevan , Maxim Ziatdinov , Sergei V. Kalinin

Cryo-electron microscopy (cryo-EM) extracts single-particle density projections of individual biomolecules. Although cryo-EM is widely used for 3D reconstruction, due to its single-particle nature, it has the potential to provide…

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

A multi-scale approach to the inverse reconstruction of a pattern's microstructure is reported. Instead of a correlation function, a pair of entropic descriptors (EDs) is proposed for stochastic optimization method. The first of them…

Statistical Mechanics · Physics 2011-02-16 R. Piasecki

Nowadays, modern electron microscopes deliver images at atomic scale. The precise atomic structure encodes information about material properties. Thus, an important ingredient in the image analysis is to locate the centers of the atoms…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Benjamin Berkels , Benedikt Wirth

Cryogenic electron microscopy is widely used in structural biology, but its resolution is often limited by the dynamics of the macromolecule. Here, we developed a refinement protocol based on Gaussian mixture models that integrates particle…

Quantitative Methods · Quantitative Biology 2023-08-31 Muyuan Chen , Michael F. Schmid , Wah Chiu

Knowing a biomolecule's structure is inherently linked to and a prerequisite for any detailed understanding of its function. Significant effort has gone into developing technologies for structural characterization. These technologies do not…

Data Structures and Algorithms · Computer Science 2017-06-22 Michael Wegner , Oskar Taubert , Alexander Schug , Henning Meyerhenke

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

Data Analysis, Statistics and Probability · Physics 2017-01-12 Yun Zhao

Four-dimensional scanning transmission electron microscopy (4D-STEM) is one of the most rapidly growing modes of electron microscopy imaging. The advent of fast pixelated cameras and the associated data infrastructure have greatly…

Applications · Statistics 2019-08-27 Xin Li , Ondrej Dyck , Stephen Jesse , Andrew R. Lupini , Sergei V. Kalinin , Mark P. Oxley

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

We introduce DiffFit, a differentiable algorithm for fitting protein atomistic structures into an experimental reconstructed Cryo-Electron Microscopy (cryo-EM) volume map. In structural biology, this process is necessary to…

Quantitative Methods · Quantitative Biology 2025-01-09 Deng Luo , Zainab Alsuwaykit , Dawar Khan , Ondřej Strnad , Tobias Isenberg , Ivan Viola

Electron Cryo-Tomography (ECT) enables 3D visualization of macromolecule structure inside single cells. Macromolecule classification approaches based on convolutional neural networks (CNN) were developed to separate millions of…

Quantitative Methods · Quantitative Biology 2018-03-28 Jialiang Guo , Bo Zhou , Xiangrui Zeng , Zachary Freyberg , Min Xu

In cryo-electron microscopy, the 3D electric potentials of an ensemble of molecules are projected along arbitrary viewing directions to yield noisy 2D images. The volume maps representing these potentials typically exhibit a great deal of…

Applications · Statistics 2018-02-08 Joakim Andén , Amit Singer

Cryo-EM is a powerful tool for understanding macromolecular structures, yet current methods for structure reconstruction are slow and computationally demanding. To accelerate research on pose estimation, we present CESPED, a new dataset…

Quantitative Methods · Quantitative Biology 2024-05-03 Ruben Sanchez-Garcia , Michael Saur , Javier Vargas , Carl Poelking , Charlotte M Deane

Three-dimensional electron diffraction (3D ED) has emerged as a powerful method for solving the structures of sub-micron-sized particles down to nanoparticles. However, it faces technical challenges when applied to beam-sensitive samples or…

Cellular processes are governed by macromolecular complexes inside the cell. Study of the native structures of macromolecular complexes has been extremely difficult due to lack of data. With recent breakthroughs in Cellular electron cryo…

Quantitative Methods · Quantitative Biology 2018-06-12 Chengqian Che , Ruogu Lin , Xiangrui Zeng , Karim Elmaaroufi , John Galeotti , Min Xu

Cryo-electron tomography (cryo-ET) provides direct 3D visualization of macromolecules inside the cell, enabling analysis of their in situ morphology. This morphology can be regarded as an SE(3)-invariant, denoised volumetric representation…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Mostofa Rafid Uddin , Mahek Vora , Qifeng Wu , Muyuan Chen , Min Xu