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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

Semialgebraic splines are functions that are piecewise polynomial with respect to a cell decomposition into sets defined by polynomial inequalities. We study bivariate semialgebraic splines, formulating spaces of semialgebraic splines in…

Commutative Algebra · Mathematics 2016-04-21 Michael DiPasquale , Frank Sottile , Lanyin Sun

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

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

Motivation: Cellular Electron CryoTomography (CECT) enables 3D visualization of cellular organization at near-native state and in sub-molecular resolution, making it a powerful tool for analyzing structures of macromolecular complexes and…

Quantitative Methods · Quantitative Biology 2017-04-14 Min Xu , Xiaoqi Chai , Hariank Muthakana , Xiaodan Liang , Ge Yang , Tzviya Zeev-Ben-Mordehai , Eric Xing

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 (EM) is an increasingly popular method for determining the 3-D structure of macromolecules from noisy 2-D images of single macromolecules whose orientations and positions are random and unknown. One…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Roy R. Lederman , Amit Singer

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

Cryo-electron microscopy (cryo-EM) has recently emerged as a powerful tool for obtaining three-dimensional (3D) structures of biological macromolecules in native states. A minimum cryo-EM image data set for deriving a meaningful…

Applications · Statistics 2014-04-28 Ting-Li Chen , Dai-Ni Hsieh , Hung Hung , I-Ping Tu , Pei-Shien Wu , Yi-Ming Wu , Wei-Hau Chang , Su-Yun Huang

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

Cellular electron cryo-tomography enables the 3D visualization of cellular organization in the near-native state and at submolecular resolution. However, the contents of cellular tomograms are often complex, making it difficult to…

Quantitative Methods · Quantitative Biology 2017-12-29 Xiangrui Zeng , Miguel Ricardo Leung , Tzviya Zeev-Ben-Mordehai , Min Xu

There is a clear need for developments in characterisation techniques that provide detailed information about structure-function relationships in biology. Using electron microscopy to achieve high resolution while maintaining a broad field…

Quantitative Methods · Quantitative Biology 2023-09-12 Chen Huang , Judy S. Kim , Angus I. Kirkland

Cryo-EM is a transformational paradigm in molecular biology where computational methods are used to infer 3D molecular structure at atomic resolution from extremely noisy 2D electron microscope images. At the forefront of research is how to…

Quantitative Methods · Quantitative Biology 2025-06-12 Shayan Shekarforoush , David B. Lindell , Marcus A. Brubaker , David J. Fleet

Cellular Electron CryoTomography (CECT) is a 3D imaging technique that captures information about the structure and spatial organization of macromolecular complexes within single cells, in near-native state and at sub-molecular resolution.…

Quantitative Methods · Quantitative Biology 2018-07-04 Kai Wen Wang , Xiangrui Zeng , Xiaodan Liang , Zhiguang Huo , Eric P. Xing , Min Xu

Achieving a comprehensive understanding of the behaviour of proteins is greatly facilitated by the knowledge of their structures, thermodynamics and dynamics. All this information can be provided in an effective manner in terms of…

Quantitative Methods · Quantitative Biology 2019-03-27 Massimiliano Bonomi , Michele Vendruscolo

Cryo-Electron Microscopy (cryo-EM) has emerged as a key technology to determine the structure of proteins, particularly large protein complexes and assemblies in recent years. A key challenge in cryo-EM data analysis is to automatically…

Biomolecules · Quantitative Biology 2023-04-04 Nabin Giri , Raj S. Roy , Jianlin Cheng

Cryo-electron microscopy (cryo-EM) has become a major experimental technique to determine the structures of large protein complexes and molecular assemblies, as evidenced by the 2017 Nobel Prize. Although cryo-EM has been drastically…

Biomolecules · Quantitative Biology 2021-06-01 Dong Si , Andrew Nakamura , Runbang Tang , Haowen Guan , Jie Hou , Ammaar Firozi , Renzhi Cao , Kyle Hippe , Minglei Zhao

Cryo-electron microscopy can now routinely deliver atomic resolution structures for a variety of biological systems. The relevance and value of these structures is directly related to their ability to help rationalize experimental…

The scanning electron microscopy (SEM) is probably one the most fascinating examination approach that has been used since more than two decades to detailed inspection of micro scale objects. Most of the scanning electron microscopes could…

Computer Vision and Pattern Recognition · Computer Science 2016-02-18 Wichai Shanklin

Electron cryo-microscopy (cryo-EM) produces three-dimensional (3D) maps of the electrostatic potential of biological macromolecules, including proteins. Along with knowledge about the imaged molecules, cryo-EM maps allow de novo atomic…

Quantitative Methods · Quantitative Biology 2023-02-09 Kiarash Jamali , Dari Kimanius , Sjors H. W. Scheres