Cryo-EM 3D Structure Estimation via Non-Uniform Refinement

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Solution Overview

Problem

Current electron Cryo-microscopy methods face challenges in accurately estimating 3D structures of proteins and molecules due to non-uniform resolution across their structures, leading to inaccuracies in refinement and over/under-regularization of regions, which affects the quality and interpretability of 3D density maps.

Innovation Solution

The method involves splitting 2D Cryo-electron microscope images into half-sets, performing local resolution estimation using techniques like Gold-Standard Fourier Shell Correlation (FSC) and local filtering, and iteratively refining these half-sets to generate updated 3D maps that account for varying resolutions across the structure, thereby improving the accuracy and quality of 3D structure estimation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If global resolution measurement is used to guide refinement, then the overall refinement process can be standardized, but local variations in resolution are not captured leading to over/under-regularization of regions

Engineering Contradiction:
Improvestandardization of refinement processVSAvoidlocal resolution measurement accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent divides the 3D density map into multiple local regions or windows, and performs resolution measurement independently in each region using local Fourier Shell Correlation (FSC). This segmentation allows the refinement process to capture spatial variations in resolution across different parts of the macromolecule, enabling region-specific regularization strategies rather than applying a single global resolution threshold to the entire structure.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent implements local resolution estimation by computing FSC in localized windows throughout the 3D map, allowing different regions to have their own resolution characteristics measured and utilized. This enables the refinement algorithm to apply appropriate regularization strength to each local region based on its specific resolution quality, preserving high-resolution features in well-defined regions while preventing noise amplification in lower-resolution regions.

Inventive Principle:
Principle #3Local quality

2Device complexity

If uniform regularization is applied across the entire 3D map, then the refinement process is computationally simpler, but regions with different intrinsic resolutions are treated equally causing loss of detail in high-resolution regions and noise in low-resolution regions

Engineering Contradiction:
Improverefinement algorithm complexityVSAvoid3D structure reconstruction accuracy
Core Design Contradiction:
Device complexityVSManufacturing precision

Solution Approach 1:

The patent introduces dynamic, spatially-varying regularization into the refinement algorithm by incorporating locally-measured resolution values to modulate the regularization strength at each position in 3D space. During iterative refinement, the algorithm adapts the regularization parameter locally based on the measured resolution in each region, allowing high-resolution regions to retain more detail while low-resolution regions receive stronger noise suppression. This dynamic approach replaces static uniform regularization with a flexible, data-driven strategy.

Inventive Principle:
Principle #15Dynamics

3Measurement precision

If local resolution estimation is performed using small local windows, then local variations can be captured, but the measurement becomes more sensitive to noise and less reliable

Engineering Contradiction:
Improvelocal resolution measurement granularityVSAvoidresolution measurement confidence
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent employs a multi-scale approach where local resolution estimation is performed at multiple window sizes or levels of nesting. Coarse-grained resolution estimates are computed using larger windows to provide reliable baseline measurements, while finer-grained estimates using smaller windows capture more detailed local variations. The results from different scales are combined or interpolated to produce a final local resolution map that balances noise robustness with spatial granularity, ensuring reliable measurement even in regions with limited signal.

Inventive Principle:
Principle #7Nested doll (Nesting)

Data Source

PatentEP3692360B1Methods and systems for 3D structure estimation using non-uniform refinement
Publication Date: 2023.09.06 THE GOVERNING COUNCIL OF THE UNIV OF TORONTO
  • EP3692360B1 patent drawingFigure 1
  • EP3692360B1 patent drawingFigure 2
  • EP3692360B1 patent drawingFigure 3

AI summary

There is provided systems and methods for generating 3D structure estimation of at least one target from a set of 2D Cryo-electron microscope particle images. The method includes: receiving the set of 2D particle images of the target from a Cryo-electron microscope; splitting the set of particle images into at least a first half-set and a second half-set; iteratively performing: determining local resolution estimation and local filtering on at least a first half-map associated with the first half-set and a second half-map associated with the second half-set; aligning 2D particles from each of the half-sets using at least one region of the associated half-map; for each of the half-maps, generating an updated half-map using the aligned 2D particles from the associated half-set; and generating a resultant 3D map using all the half-maps.