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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…

计算物理 · 物理学 2022-11-11 Adi Shasha Geva , Yoel Shkolnisky

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…

图像与视频处理 · 电气工程与系统科学 2022-12-16 Eitan Rosen , 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…

定量方法 · 定量生物学 2018-10-30 Ido Greenberg , Yoel Shkolnisky

The method of common lines is a well-established reconstruction technique in cryogenic electron microscopy (cryo-EM), which can be used to extract the relative orientations of an object given tomographic projection images from different…

数值分析 · 数学 2024-07-03 Michael Quellmalz , Peter Elbau , Otmar Scherzer , Gabriele Steidl

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…

最优化与控制 · 数学 2024-06-10 Tommi Muller , Adriana L. Duncan , Eric J. Verbeke , Joe Kileel

A major challenge in single particle reconstruction from cryo-electron microscopy is to establish a reliable ab-initio three-dimensional model using two-dimensional projection images with unknown orientations. Common-lines based methods…

机器学习 · 计算机科学 2013-04-11 Lanhui Wang , Amit Singer , Zaiwen Wen

In this report we study the problem of determining three-dimensional orientations for noisy projections of randomly oriented identical particles. The problem is of central importance in the tomographic reconstruction of the density map of…

数据结构与算法 · 计算机科学 2007-05-23 Taneli Mielikäinen , Janne Ravantti , Esko Ukkonen

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…

数据分析、统计与概率 · 物理学 2021-01-12 Ti-Yen Lan , Nicolas Boumal , Amit Singer

Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is an increasingly popular technique for determining the 3-D structure of a molecule from several noisy 2-D projections images taken at unknown viewing angles. Most…

数值分析 · 数学 2020-04-22 Nir Sharon , Joe Kileel , Yuehaw Khoo , Boris Landa , Amit Singer

By suitably generalizing the Fourier constraint projection in the difference map phasing algorithm, an object can be reconstructed from its diffraction pattern even when the latter has been incoherently averaged over a discrete group of…

数据分析、统计与概率 · 物理学 2007-05-23 Veit Elser

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…

数据分析、统计与概率 · 物理学 2012-04-11 Miklós Tegze , Gábor Bortel

A common task in cryo-electron microscopy (cryo-EM) data processing is to compare three-dimensional density maps of macromolecules. In this paper, we propose an algorithm for aligning three-dimensional density maps that exploits common…

图像与视频处理 · 电气工程与系统科学 2023-02-27 Yael Harpaz , Yoel Shkolnisky

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

数值分析 · 数学 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

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…

最优化与控制 · 数学 2018-01-09 Eitan Levin , Tamir Bendory , Nicolas Boumal , Joe Kileel , Amit Singer

Cryogenic electron microscopy (cryo-EM) is an invaluable technique for determining high-resolution three-dimensional structures of biological macromolecules using transmission particle images. The inherent symmetry in these macromolecules…

最优化与控制 · 数学 2024-11-06 Qi Zhang , Chenglong Bao , Hai Lin , Mingxu Hu

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…

生物大分子 · 定量生物学 2024-01-30 Andy Zhang , Oscar Mickelin , Joe Kileel , Eric J. Verbeke , Nicholas F. Marshall , Marc Aurèle Gilles , 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…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Mona Zehni , Laurène Donati , Emmanuel Soubies , Zhizhen J. Zhao , Michael Unser

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…

图像与视频处理 · 电气工程与系统科学 2021-03-22 S. V. Venkatakrishnan , Puneet Juneja , Hugh O'Neill

Single particle reconstruction has recently emerged in 3D fluorescence microscopy as a powerful technique to improve the axial resolution and the degree of fluorescent labeling. It is based on the reconstruction of an average volume of a…

图像与视频处理 · 电气工程与系统科学 2023-01-24 Thibaut Eloy , Etienne Baudrier , Marine Laporte , Virginie Hamel , Paul Guichard , Denis Fortun

We propose three fast algorithms for solving the inverse problem of the thermoacoustic tomography corresponding to certain acquisition geometries. Two of these methods are designed to process the measurements done with point-like detectors…

偏微分方程分析 · 数学 2011-02-08 Leonid Kunyansky
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