Non-uniform refinement: adaptive regularization improves single-particle cryo-EM reconstruction

A Punjani, H Zhang, DJ Fleet - Nature methods, 2020 - nature.com
Cryogenic electron microscopy (cryo-EM) is widely used to study biological macromolecules
that comprise regions with disorder, flexibility or partial occupancy. For example, membrane …

An introduction to maximum-likelihood methods in cryo-EM

FJ Sigworth, PC Doerschuk, JM Carazo… - Methods in …, 2010 - Elsevier
The maximum-likelihood method provides a powerful approach to many problems in cryo-
electron microscopy (cryo-EM) image processing. This contribution aims to provide an …

Classification of structural heterogeneity by maximum-likelihood methods

SHW Scheres - Methods in enzymology, 2010 - Elsevier
With the advent of computationally feasible approaches to maximum-likelihood (ML) image
processing for cryo-electron microscopy, these methods have proven particularly useful in …

Ab initio random model method facilitates 3D reconstruction of icosahedral particles

X Yan, KA Dryden, J Tang, TS Baker - Journal of structural biology, 2007 - Elsevier
Model-based, three-dimensional (3D) image reconstruction procedures require a starting
model to initiate data analysis. We have designed an ab initio method, which we call the …

A core-weighted fitting method for docking atomic structures into low-resolution maps: application to cryo-electron microscopy

X Wu, JLS Milne, MJ Borgnia, AV Rostapshov… - Journal of Structural …, 2003 - Elsevier
Cryo-electron microscopy of “single particles” is a powerful method to analyze structures of
large macromolecular assemblies that are not amenable to investigation by traditional X-ray …

Complementary approaches to structure determination of icosahedral viruses

KK Lee, JE Johnson - Current opinion in structural biology, 2003 - Elsevier
Few biological macromolecular complexes exhibit the combination of massive size and
hierarchical, symmetrical architecture embodied in icosahedral viruses. X-ray …

A statistical approach to computer processing of cryo-electron microscope images: virion classification and 3-D reconstruction

Z Yin, Y Zheng, PC Doerschuk, P Natarajan… - Journal of structural …, 2003 - Elsevier
The scattering density of the virus is represented as a truncated weighted sum of
orthonormal basis functions in spherical coordinates, where the angular dependence of …

An adaptive expectation–maximization algorithm with GPU implementation for electron cryomicroscopy

HD Tagare, A Barthel, FJ Sigworth - Journal of structural biology, 2010 - Elsevier
Maximum-likelihood (ML) estimation has very desirable properties for reconstructing 3D
volumes from noisy cryo-EM images of single macromolecular particles. Current …

Vibrational dynamics of icosahedrally symmetric biomolecular assemblies compared with predictions based on continuum elasticity

Z Yang, I Bahar, M Widom - Biophysical journal, 2009 - cell.com
Coarse-grained elastic network models elucidate the fluctuation dynamics of proteins
around their native conformations. Low-frequency collective motions derived by simplified …

SubspaceEM: A fast maximum-a-posteriori algorithm for cryo-EM single particle reconstruction

NC Dvornek, FJ Sigworth, HD Tagare - Journal of structural biology, 2015 - Elsevier
Single particle reconstruction methods based on the maximum-likelihood principle and the
expectation–maximization (E–M) algorithm are popular because of their ability to produce …