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Dealing with Resolution Anisotropy and Considerations for High Resolution Structure Determination Dmitry Lyumkis Salk Institute for Biological Studies American Crystallographic Association, cryo-EM Workshop, August 11, 2020

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  • Dealing with Resolution Anisotropy andConsiderations for High Resolution Structure

    Determination

    Dmitry LyumkisSalk Institute for Biological Studies

    American Crystallographic Association, cryo-EM Workshop, August 11, 2020

  • • Preferred orientation — the origin of resolution anisotropy

    Outline

    • Resolution anisotropy in cryo-EM reconstructions (caused

    by preferred orientation) and its evaluation with 3D FSCs

    • Combatting anisotropy using tilted data collection strategies

    • The (unexpected) effect of sampling (in)homogeneity on

    global resolution

    • Evaluating sampling (in)homogeneity using the SCF criterion

    • Considerations for high-resolution

  • Origin of resolution anisotropy in cryo-EM:The idealized behavior of particles on a grid

    Noble, A. J., et al. (2018). Routine single particle CryoEM sample and grid characterization bytomography. eLife, 7, 32.

  • Noble, A. J., et al. (2018). Routine single particle CryoEM sample and grid characterization bytomography. eLife, 7, 32.

    Origin of resolution anisotropy in cryo-EM:The reality … Particles adhere at the air-water interface

  • Origin of resolution anisotropy in cryo-EM:The reality … for virtually all samples

    Noble, A. J., et al. (2018). Routine single particle CryoEM sample and grid characterization bytomography. eLife, 7, 32.

  • • Preferred orientation — the origin of resolution anisotropy

    Outline

    • Resolution anisotropy in cryo-EM reconstructions (caused

    by preferred orientation) and its evaluation with 3D FSCs

    • Combatting anisotropy using tilted data collection strategies

    • The (unexpected) effect of sampling (in)homogeneity on

    global resolution

    • Evaluating sampling (in)homogeneity using the SCF criterion

    • Considerations for high-resolution

  • 90°

    Interaction at the air-water interface results in:“preferred particle orientation” — Hemagglutinin (HA) trimer

    Tan, Y. Z. et al. (2017). Nature Methods, 14(8), 793–796.

  • Interaction at the air-water interface results in:smearing and elongation along Z-axis (loss of Z resolution)

    Tan, Y. Z. et al. (2017). Nature Methods, 14(8), 793–796.

    beamdirection

    beamdirection

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    Spatial Frequency

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    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

    ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

  • Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

  • Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

  • Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

  • Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

  • ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

  • ● Calculate the FSC between two half maps as afunction of spatial frequency over the entireFourier shell

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    Harauz, G., & van Heel, M. (1986). Exact filters for general geometry 3-dimensionalreconstruction. Optik, 73(146), 146–156.

    FSC 0.143

    Fourier Shell Correlation (FSC): a quantitative way toevaluate resolution in cryo-EM

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

    Tan, Y. Z. …, Lyumkis D. (2017). Nature Methods, 14(8), 793–796.

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    Tan, Y. Z. …, Lyumkis D. (2017). Nature Methods, 14(8), 793–796.

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    FSC at View #1

    Tan, Y. Z. …, Lyumkis D. (2017). Nature Methods, 14(8), 793–796.

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    FSC at View #2

    Tan, Y. Z. …, Lyumkis D. (2017). Nature Methods, 14(8), 793–796.

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Spatial Frequency

    Four

    ier

    Shel

    lC

    orre

    lati

    on

    FSC at View #3

    Tan, Y. Z. …, Lyumkis D. (2017). Nature Methods, 14(8), 793–796.

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Conical FSCsAcross Entire

    Sphere

    Tan, Y. Z. …, Lyumkis D. (2017). Nature Methods, 14(8), 793–796.

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

  • ● Calculate the FSC between two half maps as afunction of the direction (and looking atcross-correlations over a local cone of dataand not the entire shell)

    Fou

    rier

    Tra

    nsf

    orm

    Hal

    f Map

    1H

    alf M

    ap 2

    Conical FSCsAcross Entire

    Sphere

    3D FSC

    Tan, Y. Z. et al. (2017). Nature Methods, 14(8), 793–796.

    3D FSCs: a quantitative way to evaluate directional resolutionand anisotropy in single-particle cryo-EM

  • Evaluating resolution anisotropy: the 3D FSC

    Tan et al. (2017). Nat Methods, 14(8), 793-796. Aiyer et al. in press. MiMB.

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  • Implementation of 3D FSCs in Chimera

    Aiyer et al. in press. MiMB.

  • Web-server for remote 3D FSC processing:https://3dfsc.salk.edu

    www.github.com/LyumkisLab/3DFSC

    http://www.github.com/LyumkisLab/3DFSC

  • • Preferred orientation — the origin of resolution anisotropy

    Outline

    • Resolution anisotropy in cryo-EM reconstructions (caused

    by preferred orientation) and its evaluation with 3D FSCs

    • Combatting anisotropy using tilted data collection strategies

    • The (unexpected) effect of sampling (in)homogeneity on

    global resolution

    • Evaluating sampling (in)homogeneity using the SCF criterion

    • Considerations for high-resolution

  • Tilting the grid in the microscope helps to alleviateresolution anisotropy caused by preferred specimen

    orientation

    Lyumkis, D. (2019). JBC, 294(13), 5181–5197.

    Tan et al. (2017). Nat Methods, 14(8), 793-796.

  • Why do tilts work?Filling in more Fourier space density (better Fourier sampling)

    reconstruct

    reconstruct

  • Tilting ameliorates resolution anisotropy and improves maps

    Unt

    ilted

    Tilte

    d

  • Anisotropic reconstructionuntilted data

    (more) isotropic reconstructiontilted data

    Passos, Li et al. (2020). Science

    Tilting ameliorates resolution anisotropy and improves mapsHIV-1 intasome complexes (from Thursday ACA session)

  • Examples of tilted data collection strategies in the literature

    Zhang, Y., … Shi, Y. (2020). bioRxiv, 9,2020.03.27.009381

    ~100 MDa Nuclear Pore Complex

    Herzik, M. A., Wu, M., & Lander, G. C. (2019).Nature Communications, 10(1), 1–9.

    ~43 kDa Protein Kinase A

  • Possible limitations associated with tilted datacollection strategies

    1. Defocus gradient across the micrograph

    2. More beam-induced movement

    3. Thicker ice

  • Compensating for limitations of tilts usingcomputational image processing: AAV

    Working hypothesis: most of the problems associated with tilts couldbe ameliorated using computational strategies

    0°st

    age

    tilt

    60°s

    tage

    tilt

  • • Preferred orientation — the origin of resolution anisotropy

    Outline

    • Resolution anisotropy in cryo-EM reconstructions (caused

    by preferred orientation) and its evaluation with 3D FSCs

    • Combatting anisotropy using tilted data collection strategies

    • The (unexpected) effect of sampling (in)homogeneity on

    global resolution

    • Evaluating sampling (in)homogeneity using the SCF criterion

    • Considerations for high-resolution

  • 75K particles

    Passos, D. O., & Lyumkis, D. (2015). Journal of Structural Biology, 192(2), 235–244.

    High-resolution dataset, with multiple “preferredorientations” for characterizing the effects of sampling

  • 75K particles 10K particles

    10K particlesorientation 1

    10K particlesorientation 3

    10K particlesorientation 2

    Dataset could be subdivided into four groups by orientation

  • Reconstructions differing only in orientation distributionshave distinct SSNR profiles

  • • Preferred orientation — the origin of resolution anisotropy

    Outline

    • Resolution anisotropy in cryo-EM reconstructions (caused

    by preferred orientation) and its evaluation with 3D FSCs

    • Combatting anisotropy using tilted data collection strategies

    • The (unexpected) effect of sampling (in)homogeneity on

    global resolution

    • Evaluating sampling (in)homogeneity using the SCF criterion

    • Considerations for high-resolution

  • Dataset signal power /noise power at different

    spatial frequencies

    Average numberof times lattice

    point k is sampled

    Geometricalfactor

    Per-particle SSNR

    Heymann, J. B., IUCr. (2019). Single-particle reconstruction statistics: a diagnostic tool in solving biomolecularstructures by cryo-EM. Acta Crystallographica. Section F, Structural Biology and Crystallization Communications,

    75(1), 33–44.

    Decoupling sampling with noise variance

    Derivation decouples a sampling factor from the per-particle SSNR

    Previously …

  • Baldwin, P. R., & Lyumkis, D. (2019). Progress in Biophysics and Molecular Biology.http://doi.org/10.1016/j.pbiomolbio.2019.09.002

    Evaluating SCF behavior using different Fourier samplingschemes

  • Decrement of the SCF for side-like views: (fully sampled)

  • Decrement of the SCF for top-like views:(Incompletely sampled)

    45-degree cone,10% sprinkles

    45-degree cone,3% sprinkles

    45-degree cone,1% sprinkles

    45-degree cone,0% sprinkles

    Uniform

  • Knowing the SCF can predict the attenuation of the SSNR:side-like distributions, varying phi-angle modulation

  • Knowing the SCF can predict the attenuation of the SSNR:side-like distributions, varying phi-angle modulation

  • Knowing the SCF can predict the attenuation of the SSNR:top-like distributions, varying cone size with 3% “sprinkles”

  • Knowing the SCF can predict the attenuation of the SSNR:top-like distributions, varying cone size with 3% “sprinkles”

  • GUI for calculating SCF values:Example with top-like distribution, untilted and tilted

    Baldwin, P. R., & Lyumkis, D. (2020).bioRxiv, 3(1), 2020.06.08.140863.

    www.github.com/LyumkisLab/SamplingGui

    Baldwin, P. R., & Lyumkis, D. (2020).PBMB, Jul 6:S0079-6107(20)30060-2

    SCF* = 0.02

    SCF* = 0.49

    http://www.github.com/LyumkisLab/SamplingGui

  • • Preferred orientation — the origin of resolution anisotropy

    Outline

    • Resolution anisotropy in cryo-EM reconstructions (caused

    by preferred orientation) and its evaluation with 3D FSCs

    • Combatting anisotropy using tilted data collection strategies

    • The (unexpected) effect of sampling (in)homogeneity on

    global resolution

    • Evaluating sampling (in)homogeneity using the SCF criterion

    • Considerations for high-resolution

  • Considerations for optimizing cryo-EM resolution• Microscope (e.g. JEOL, TFS, Krios G3/G4, Arctica, etc) microscope settings (e.g. KV, aperture

    size), microscope alignment (coma-free, parallel illumination)• Ancillary hardware: cold or warm FEG, energy filter, aberration correctors, phase plates• Detector and detector DQE: Falcon4, Falcon3, K3, K2, CCD, etc• Detector settings: counting vs. super-resolution, dose rate, frame rate• Imaging and data collection: magnification (and pixel size), defocus range, image shift or stage

    position, speed vs accuracy (without compromising quality), hole selection, with or w/o stage tilt

    • Grid / data collection quality: thick/thin ice, how much drift, sample dispersity, substrate support,grid type

    • Image processing:◦ Software (Relion, CryoSparc, CisTEM, Warp/M, EMAN, etc)◦ Initial motion correction and CTF estimation (global, patch-based, per-particle)◦ Classification strategy◦ Post-processing (CTF refinement, particle polishing [movement, B-factor weighting], Ewald

    correction, density modification)

    • Fourier space sampling• Sample !!!!!!!!!!!!!!!!!!!!!!!!!

  • Nakane, T., …, Scheres, S. (2020). Single-particle cryo-EM at atomic resolution.bioRxiv, 2020.05.22.110189.

    Considerations for optimizing cryo-EM resolution:1.2 Å apoferritin (cold FEG)

  • Yip, K. M., Fischer, N., Paknia, E., Chari, A., & Stark, H. (2020). Breaking the next Cryo-EMresolution barrier – Atomic resolution determination of proteins! bioRxiv, 645,

    2020.05.21.106740.

    Considerations for optimizing cryo-EM resolution:1.2 Å apoferritin (warm FEG)

    • Titan Krios (Schottky FEG)• Voltage: 300• Monochromator + Cs corrector• Falcon 3 detector• 0.492 Å/pix• Electron dose (e-/Å^2): 50• Software: Relion• Number of particles: 1,090,676• Resolution: 1.25 Å

  • Considerations for optimizing cryo-EM resolution:1.3 Å apoferritin (cold FEG)

    Tegunov, D., Xue, L., Dienemann, C., Cramer, P., & Mahamid, J. (2020). Multi-particle cryo-EM refinement with Mvisualizes ribosome-antibiotic complex at 3.7 Å inside cells. bioRxiv, 44, 2020.06.05.136341.

    • cryoARM300 (JEOL)• Voltage: 300• Cold FEG• K2 detector• In-column omega filter• 0.49 Å/pix• Electron dose (e-/Å^2): 88• Software: M• Number of particles: 120,295• Resolution: 1.34 Å

    Dimitry TegunovReprocessed dataset in M

    EMPIAR-10248

    Keiichi NambaData collection (Kato et al, MIcroscopy

    and Microanalysis, 2019)

  • Rado DanevYanagisawa-san, Masahide

    Kikkawa

    Considerations for optimizing cryo-EM resolution:1.3 Å apoferritin (warm FEG)

  • Try to understand your limitationsFirst 2 e-/Å2

    Tan, Y. Z., Aiyer, S., et al. (2018). Nature Communications, 9(1), 3628–11.

  • Exposure Dependency of the Mean Intensityof the Unmerged Integrated Reflections

    Hattne, J., Shi, D., et al. (2018). Analysis of Global and Site-Specific Radiation Damage inCryo-EM, 26(5), 759–766.e4.

  • • Resolution anisotropy originates from preferred orientation and

    inhomogeneity in Fourier sampling

    • 3D FSCs provide quantitative measurements of resolution

    anisotropy

    • Tilts help to overcome resolution anisotropy

    • Inhomogeneity in Fourier sampling also causes attenuation of

    global resolution: incomplete sampling worse than

    inhomogeneous (but complete) sampling

    • The Sampling Compensation Factor (SCF) estimates the

    amount of global resolution attenuation

    • Many factors to optimize for high-resolution … toward sub-Å

    reconstructions!

    Summary

  • Acknowledgements and Support

    Computationalsupport

    Phil BaldwinJC Ducom

    Funding

    Collaborators

    Niko GrigorieffBen Himes

    Mavis Agbanjie-McKenna

    Robert McKenna

    Cryo-EM supportBill Anderson

    Scripps/SalkConsortium

    Jamie WilliamsonTravis BerggrenMartin Hetzer

    Leona M. and Harry B. HelmsleyCharitable Trust Grant

    Phil BaldwinYong Zi Tan Sriram Aiyer