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This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

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

Motivation: Structural heterogeneity in single-particle cryo-electron microscopy (cryo-EM) data represents a major challenge for high-resolution structure determination. Unsupervised classification may serve as the first step in the…

Data Analysis, Statistics and Probability · Physics 2017-11-01 Jiayi Wu , Yong-Bei Ma , Charles Congdon , Bevin Brett , Shuobing Chen , Qi Ouyang , Youdong Mao

Background: Many attempts have been made to resolve in time the folding of model proteins in computer simulations. Different computational approaches have emerged. Some of these approaches suffer from the insensitivity to the geometrical…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

Cryo-electron microscopy (cryo-EM) studies using single particle reconstruction are extensively used to reveal structural information on macromolecular complexes. Aiming at the highest achievable resolution, state of the art electron…

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

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…

Microsecond time-resolved cryo-electron microscopy has emerged as a novel approach for directly observing proteins dynamics. By providing microsecond temporal and near-atomic spatial resolution, it has the potential to elucidate a wide…

Biological Physics · Physics 2024-02-27 Ulrich J. Lorenz

Inside a cell, heterotypic proteins assemble in inhomogeneous, crowded systems where the abundance of these proteins vary with cell types. While some protein complexes form putative structures that can be visualized with imaging, there are…

Biomolecules · Quantitative Biology 2021-09-15 Andrei G. Gasic , Atrayee Sarkar , Margaret S. Cheung

Mixture - modeling of mass spectra is an approach with many potential applications including peak detection and quantification, smoothing, de-noising, feature extraction and spectral signal compression. However, existing algorithms do not…

Computation · Statistics 2015-08-04 Andrzej Polanski , Michal Marczyk , Monika Pietrowska , Piotr Widlak , Joanna Polanska

Multiple technologies that measure expression levels of protein mixtures in the human body offer a potential for detection and understanding the disease. The recent increase of these technologies prompts researchers to evaluate the…

Machine Learning · Computer Science 2026-05-12 Michal Valko , Richard Pelikan , Miloš Hauskrecht

We presented a new 3D refinement method for Cryo-EM single particle analysis which can improve the resolution of final electron density map in this paper. We proposed to enforce both sparsity and smoothness to improve the regularity of…

Image and Video Processing · Electrical Eng. & Systems 2020-03-12 Zhenwei Luo

Cryo-electron microscopy (cryo-EM) has emerged as a powerful technique for resolving the three-dimensional structures of macromolecules. A key challenge in cryo-EM is characterizing continuous heterogeneity, where molecules adopt a…

Machine Learning · Statistics 2026-02-20 Roey Yadgar , Roy R. Lederman , Yoel Shkolnisky

A crucial step in single particle analysis (SPA) of cryogenic electron microscopy (Cryo-EM), 2D classification and alignment takes a collection of noisy particle images to infer orientations and group similar images together. Averaging…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Supawit Chockchowwat , Chandrajit L. Bajaj

Biology stores information and computes at the molecular scale, yet the ways in which it does so are often distinct from human-engineered computers. Mapping biological computation onto architectures familiar to computer science remains an…

Biological Physics · Physics 2026-03-31 Jan Kocka , Kabir Husain , Jaime Agudo-Canalejo

In this paper, we consider the statistical analysis of a protein interaction network. We propose a Bayesian model that uses a hierarchy of probabilistic assumptions about the way proteins interact with one another in order to: (i) identify…

Molecular Networks · Quantitative Biology 2007-11-15 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

It is becoming clear that traditional, single-structure models of proteins are insufficient for understanding their biological function. Here, we outline one method for inferring, from experiments, not only the most common structure a…

Biological Physics · Physics 2014-08-04 Thomas J. Lane , Christian R. Schwantes , Kyle A. Beauchamp , Vijay S. Pande

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

This work introduces a refinement of the Parsimonious Model for fitting a Gaussian Mixture. The improvement is based on the consideration of clusters of the involved covariance matrices according to a criterion, such as sharing Principal…

Methodology · Statistics 2024-04-10 David Rodríguez-Vítores , Carlos Matrán

Accurate protein structural ensembles can be determined with metainference, a Bayesian inference method that integrates experimental information with prior knowledge of the system and deals with all sources of uncertainty and errors as well…

Quantitative Methods · Quantitative Biology 2019-01-24 Thomas Löhr , Carlo Camilloni , Massimiliano Bonomi , Michele Vendruscolo