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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

Differentiating signals from the background in micrographs is a critical initial step for cryogenic electron microscopy (cryo-EM), yet it remains laborious due to low signal-to-noise ratio (SNR), the presence of contaminants and densely…

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

The choice of structural resolution is a fundamental aspect of protein modelling, determining the balance between descriptive power and interpretability. Although atomistic simulations provide maximal detail, much of this information is…

Biomolecules · Quantitative Biology 2025-10-23 Margherita Mele , Raffaele Fiorentini , Thomas Tarenzi , Giovanni Mattiotti , Raffaello Potestio

Network models provide a powerful framework for analysing single-cell count data, facilitating the characterisation of cellular identities, disease mechanisms, and developmental trajectories. However, uncertainty modeling in unsupervised…

Genomics · Quantitative Biology 2026-04-27 Shanshan Ren , Thomas E. Bartlett , Lina Gerontogianni , Swati Chandna

High-resolution structure determination by cryo-electron microscopy (cryo-EM) requires the accurate fitting of an atomic model into an experimental density map. Traditional refinement pipelines such as Phenix.real_space_refine and Rosetta…

Biomolecules · Quantitative Biology 2026-03-10 Fuyao Huang , Xiaozhu Yu , Kui Xu , Qiangfeng Cliff Zhang

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

Current all-atom potential based molecular dynamics (MD) allow the identification of a protein's functional motions on a wide-range of time-scales, up to few tens of ns. However, functional large scale motions of proteins may occur on a…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Paolo Carloni , Amos Maritan

Proteins are the fundamental macromolecules that play diverse and crucial roles in all living matter and have tremendous implications in healthcare, manufacturing, and biotechnology. Their functions are largely determined by the sequences…

Biomolecules · Quantitative Biology 2024-09-17 Boqiao Lai

Over the past decade, cryogenic electron microscopy (cryo-EM) has emerged as a primary method for determining near-native, near-atomic resolution 3D structures of biological macromolecules. In order to meet increasing demand for cryo-EM,…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Paul T. Kim , Alex J. Noble , Anchi Cheng , Tristan Bepler

Throughout the history of electron microscopy, ribosomes have served as an ideal subject for imaging and technological development, which in turn has driven our understanding of ribosomal biology. Here, we provide a historical perspective…

Biomolecules · Quantitative Biology 2023-08-31 Samantha M. Webster , Mira B. May , Barrett M. Powell , Joseph H. Davis

Proteins are miniature machines whose function depends on their three-dimensional (3D) structure. Determining this structure computationally remains an unsolved grand challenge. A major bottleneck involves selecting the most accurate…

Quantitative Methods · Quantitative Biology 2020-11-30 Stephan Eismann , Patricia Suriana , Bowen Jing , Raphael J. L. Townshend , Ron O. Dror

Modern single-cell flow and mass cytometry technologies measure the expression of several proteins of the individual cells within a blood or tissue sample. Each profiled biological sample is thus represented by a set of hundreds of…

Machine Learning · Computer Science 2022-06-29 Siyuan Shan , Vishal Baskaran , Haidong Yi , Jolene Ranek , Natalie Stanley , Junier Oliva

Data clustering has received a lot of attention and numerous methods, algorithms and software packages are available. Among these techniques, parametric finite-mixture models play a central role due to their interesting mathematical…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Israel D. Gebru , Xavier Alameda-Pineda , Florence Forbes , Radu Horaud

Deep learning model trained by imbalanced data may not work satisfactorily since it could be determined by major classes and thus may ignore the classes with small amount of data. In this paper, we apply deep learning based imbalanced data…

Image and Video Processing · Electrical Eng. & Systems 2019-08-28 Ziqian Luo , Xiangrui Zeng , Zhipeng Bao , Min Xu

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

Recent developments in deep learning-based methods demonstrated its potential to predict the 3D protein structures using inputs such as protein sequences, Cryo-Electron microscopy (Cryo-EM) images of proteins, etc. However, these methods…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Jaydeep Rade , Soumik Sarkar , Anwesha Sarkar , Adarsh Krishnamurthy

In this paper we study the formal algebraic structure underlying the intrinsic classification algorithm, recently introduced by Hadani, Shkolnisky, Singer and Zhao, for classifying noisy projection images of similar viewing directions in…

Representation Theory · Mathematics 2011-04-07 Ronny Hadani , Amit Singer

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

Applications · Statistics 2015-01-19 Abel Rodriguez , Scott C. Schmidler

Due to the wide range of timescales that are present in macromolecular systems, hierarchical multiscale strategies are necessary for their computational study. Coarse-graining (CG) allows to establish a link between different system…

The use of high-dimensional data for targeted therapeutic interventions requires new ways to characterize the heterogeneity observed across subgroups of a specific population. In particular, models for partially exchangeable data are needed…

Methodology · Statistics 2020-08-18 Francesco Denti , Federico Camerlenghi , Michele Guindani , Antonietta Mira