Evidence map›Paper›PMID 40009640›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2025

Cryo-EM heterogeneity analysis using regularized covariance estimation and kernel regression.

Marc Aurèle Gilles, Amit Singer

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 28 papers.

0numbers the graph read from it
0cells of the map it votes in
28citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

28 citing papers in PubMed.

  1. Article
  2. Review
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  10. CryoJAX: a cryo-electron microscopy image-simulation library in JAX.Acta crystallographica. Section D, Structural biology · 2026
    Article
  11. Article
  12. Article
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  15. cryoJAX: A Cryo-electron Microscopy Image Simulation Library In JAX.bioRxiv : the preprint server for biology · 2025
    Article
  16. Article
  17. How many (distinguishable) classes can we identify in single-particle analysis?Acta crystallographica. Section D, Structural biology · 2025
    Article
  18. Article
  19. Article
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4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

2 authors.

Marc Aurèle GillesDepartment of Mathematics, Princeton University, Princeton, NJ 08544.ORCID 0000-0002-0548-6834
Amit SingerDepartment of Mathematics, Princeton University, Princeton, NJ 08544.ORCID 0000-0002-6975-7955

Funding

Reconstruction of heterogeneous and small macromolecules by cyro-EMR01GM136780 · NIGMS · PRINCETON UNIVERSITY · PI SINGER, AMIT · 2020 to 2023
$1.3M
DOD | AF | AMC | AFRL | Air Force Office of Scientific Research (AFOSR) FA9550-23-1-0249HHS | National Institutes of Health (NIH) R01GM136780-01National Science Foundation (NSF) DMS- 1925919National Science Foundation (NSF) DMS-2009753NIGMS NIH HHS R01 GM136780Simons Foundation (SF) Math+X Investigator Award
6 · The paper itself

Abstract

Proteins and the complexes they form are central to nearly all cellular processes. Their flexibility, expressed through a continuum of states, provides a window into their biological functions. Cryogenic electron microscopy (cryo-EM) is an ideal tool to study these dynamic states as it captures specimens in noncrystalline conditions and enables high-resolution reconstructions. However, analyzing the heterogeneous distributions of conformations from cryo-EM data is challenging. We present RECOVAR, a method for analyzing these distributions based on principal component analysis (PCA) computed using a REgularized COVARiance estimator. RECOVAR is fast, robust, interpretable, expressive, and competitive with state-of-the-art neural network methods on heterogeneous cryo-EM datasets. The regularized covariance method efficiently computes a large number of high-resolution principal components that can encode rich heterogeneous distributions of conformations and does so robustly thanks to an automatic regularization scheme. The reconstruction method based on adaptive kernel regression resolves conformational states to a higher resolution than all other tested methods on extensive independent benchmarks while remaining highly interpretable. Additionally, we exploit favorable properties of the PCA embedding to estimate the conformational density accurately. This density allows for better interpretability of the latent space by identifying stable states and low free-energy motions. Finally, we present a scheme to navigate the high-dimensional latent space by automatically identifying these low free-energy trajectories. We make the code freely available at https://github.com/ma-gilles/recovar.

Indexed as

Cryoelectron MicroscopyImage Processing, Computer-AssistedAlgorithmsPrincipal Component AnalysisProtein Conformationcovariance estimationcryogenic electron microscopydensity estimationheterogeneity analysis

Identifiers

PMID40009640
PMCPMC11892586

What OpenQuestion holds

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LicenceCC BY-NC-ND
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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.