DOI: 10.1016/j.jsb.2006.01.003. Estimation of variance in single-particle reconstruction using the bootstrap technique

Estimation of variance in single-particle reconstruction using the bootstrap technique

10.1016/j.jsb.2006.01.003

Crossref journal-article

Elsevier BV

Journal of Structural Biology (78)

Bibliography

Penczek, P. A., Yang, C., Frank, J., & Spahn, C. M. T. (2006). Estimation of variance in single-particle reconstruction using the bootstrap technique. Journal of Structural Biology, 154(2), 168â183.

Authors 4

Pawel A. Penczek (first)
Chao Yang (additional)
Joachim Frank (additional)
Christian M.T. Spahn (additional)

References 59 Referenced 106

10.1016/j.jsb.2005.02.006 / J. Struct. Biol. / Estimating alignment errors in sets of 2-D images by Baldwin (2005)
10.1364/JOSAA.7.001266 / J. Opt. Soc. Am. A / Objective assessment of image quality: effects of quantum noise and object variability by Barrett (1990)
10.1088/0031-9155/39/5/004 / Phys. Med. Biol. / Noise properties of the EM algorithm: I. theory by Barrett (1994)
10.1038/386088a0 / Nature / Determination of the fold of the core protein of hepatitis B virus by electron cryomicroscopy by Böttcher (1997)
10.1088/0031-9155/47/10/311 / Phys. Med. Biol. / A non-parametric bootstrap approach for analysing the statistical properties of SPECT and PET images by Buvat (2002)
10.1109/42.232252 / IEEE Trans. Med. Imaging / An approximation formula for the variance of PET region-of-interest values by Carson (1993)
10.1038/386091a0 / Nature / Visualization of a 4-helix bundle in the hepatitis B virus capsid by cryo-electron microscopy by Conway (1997)
10.1109/TNS.2002.803688 / IEEE Trans. Nucl. Sci. / Estimation of image noise in PET using the bootstrap method by Dahlbom (2002)
{'key': '10.1016/j.jsb.2006.01.003_bib9', 'series-title': 'Bootstrap Methods and Their Application', 'author': 'Davison', 'year': '1997'} / Bootstrap Methods and Their Application by Davison (1997)
10.1109/83.491322 / IEEE Trans. Image Process. / Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): applications to tomography by Fessler (1996)
10.1109/83.535846 / IEEE Trans. Image Process. / Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs by Fessler (1996)
{'key': '10.1016/j.jsb.2006.01.003_bib12', 'series-title': 'Three-Dimensional Electron Microscopy of Macromolecular Assemblies', 'author': 'Frank', 'year': '2006'} / Three-Dimensional Electron Microscopy of Macromolecular Assemblies by Frank (2006)
10.1038/35018597 / Nature / A ratchet-like inter-subunit reorganization of the ribosome during translocation by Frank (2000)
10.1016/S0076-6879(00)17020-X / Methods Enzymol. / Three-dimensional cryoelectron microscopy of ribosomes by Frank (2000)
10.1006/jsbi.1996.0030 / J. Struct. Biol. / SPIDER and WEB: processing and visualization of images in 3D electron microscopy and related fields by Frank (1996)
10.1126/science.7313694 / Science / Computer averaging of electron micrographs of 40S ribosomal subunits by Frank (1981)
10.1016/S0092-8674(00)80690-X / Cell / Solution structure of the E. coli 70S ribosome at 11.5Å resolution by Gabashvili (2000)
10.1016/S0092-8674(03)00427-6 / Cell / Study of the structural dynamics of the E. coli 70S ribosome using real-space refinement by Gao (2003)
10.1016/j.jsb.2004.02.008 / J. Struct. Biol. / Dynamics of EF-G interaction with the ribosome explored by classification of a heterogeneous cryo-EM dataset by Gao (2004)
10.1006/jmbi.1998.1668 / J. Mol. Biol. / Three-dimensional structure of bovine NADH: ubiquinone oxidoreductase (complex I) at 22Å in ice by Grigorieff (1998)
10.1006/jmbi.1997.1611 / J. Mol. Biol. / The small heat-shock protein, αB-crystallin, has a variable quaternary structure by Haley (1998)
{'key': '10.1016/j.jsb.2006.01.003_bib22', 'series-title': 'Sample Survey Methods and Theory', 'author': 'Hansen', 'year': '1953'} / Sample Survey Methods and Theory by Hansen (1953)
{'key': '10.1016/j.jsb.2006.01.003_bib23', 'first-page': '146', 'article-title': 'Exact filters for general geometry three dimensional reconstruction', 'volume': '73', 'author': 'Harauz', 'year': '1986', 'journal-title': 'Optik'} / Optik / Exact filters for general geometry three dimensional reconstruction by Harauz (1986)
10.1109/42.41486 / IEEE Trans. Med. Imaging / Resampling estimates of precision in emission tomography by Haynor (1989)
10.1016/0304-3991(92)90024-E / Ultramicroscopy / Quantitative energy-filtered electron microscopy of biological molecules in ice by Langmore (1992)
10.1006/jsbi.1999.4185 / J. Struct. Biol. / Fast and accurate three-dimensional reconstruction from projections with random orientations via Radon transforms by Lanzavecchia (1999)
10.1016/S1047-8477(02)00004-7 / J. Struct. Biol. / Symmetry embedding in the reconstruction of macromolecular assemblies via the discrete Radon transform by Lanzavecchia (2002)
10.1016/S0092-8674(00)81563-9 / Cell / Maturation dynamics of a viral capsid: visualization of transitional intermediate states by Lata (2000)
10.1023/A:1008946426658 / Stat. Comput. / Statistical approaches in quantitative positron emission tomography by Leahy (2000)
10.1364/JOSAA.12.002615 / J. Opt. Soc. Am. A–Opt. Image Sci. / Estimation of variance distribution in three-dimensional reconstruction. I. Theory by Liu (1995)
10.1006/jsbi.1999.4174 / J. Struct. Biol. / EMAN: semiautomated software for high-resolution single-particle reconstructions by Ludtke (1999)
10.1006/jmbi.2001.5133 / J. Mol. Biol. / A 11.5Å single particle reconstruction of GroEL using EMAN by Ludtke (2001)
10.2307/1390729 / J. Comput. Graph. Stat. / Estimating precision in functional images by Maitra (1997)
10.1016/S1361-8415(98)80018-2 / Med. Image Anal. / An approximate bootstrap technique for variance estimation in parametric images by Maitra (1998)
10.2307/2670050 / J. Am. Stat. Assoc. / Variability assessment in positron emission tomography and related generalized deconvolution models by Maitra (1998)
10.1016/S0304-3991(97)00127-7 / Ultramicroscopy / 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs) by Marabini (1998)
10.1109/TMI.1985.4307694 / IEEE Trans. Med. Imaging / Effects of detector wobble motion on image noise in positron emission tomography by Palmer (1985)
{'key': '10.1016/j.jsb.2006.01.003_bib38', 'first-page': '115', 'article-title': 'Measures of resolution using Fourier Shell Correlation', 'volume': '280', 'author': 'Penczek', 'year': '1998', 'journal-title': 'J. Mol. Biol.'} / J. Mol. Biol. / Measures of resolution using Fourier Shell Correlation by Penczek (1998)
10.1016/0304-3991(92)90233-A / Ultramicroscopy / Three-dimensional reconstruction of single particles embedded in ice by Penczek (1992)
10.1016/S1047-8477(02)00033-3 / J. Struct. Biol. / Three-dimensional Spectral Signal-to-Noise Ratio for a class of reconstruction algorithms by Penczek (2002)
Penczek, P.A., 2002b. Variance in three-dimensional reconstructions from projections. Proceedings of the IEEE International Symposium on Biomedical Imaging, Washington, DC. (10.1109/ISBI.2002.1029366)
10.1016/0304-3991(94)90038-8 / Ultramicroscopy / The ribosome at improved resolution: new techniques for merging and orientation refinement in 3D cryo-electron microscopy of biological particles by Penczek (1994)
10.1364/JOSAA.21.000499 / J. Opt. Soc. Am. A / Gridding-based direct Fourier inversion of the three-dimensional ray transform by Penczek (2004)
10.1016/0304-3991(96)00037-X / Ultramicroscopy / A common-lines based method for determining orientations for N>3 particle projections simultaneously by Penczek (1996)
{'key': '10.1016/j.jsb.2006.01.003_bib45', 'first-page': '1', 'article-title': 'Three-dimensional reconstruction with contrast transfer function compensation from defocus series', 'volume': '11', 'author': 'Penczek', 'year': '1997', 'journal-title': 'Scan. Microsc. Suppl.'} / Scan. Microsc. Suppl. / Three-dimensional reconstruction with contrast transfer function compensation from defocus series by Penczek (1997)
10.1109/42.768839 / IEEE Trans. Med. Imaging / A theoretical study of the contrast recovery and variance of MAP reconstructions from PET data by Qi (1999)
10.1109/42.870259 / IEEE Trans. Med. Imaging / Resolution and noise properties of MAP reconstructions in fully 3-D PET by Qi (2000)
{'key': '10.1016/j.jsb.2006.01.003_bib48', 'series-title': 'Electron Tomography', 'first-page': '91', 'article-title': 'Weighted back-projection methods', 'author': 'Radermacher', 'year': '1992'} / Electron Tomography / Weighted back-projection methods by Radermacher (1992)
10.1111/j.1365-2818.1982.tb00405.x / J. Microsc. / The correlation averaging of a regularly arranged bacterial envelope protein by Saxton (1982)
{'key': '10.1016/j.jsb.2006.01.003_bib50', 'series-title': 'The Jackknife and Bootstrap', 'author': 'Shao', 'year': '1995'} / The Jackknife and Bootstrap by Shao (1995)
10.1016/S0092-8674(01)00539-6 / Cell / Structure of the 80S ribosome from Saccharomyces cerevisiae–tRNA–ribosome and subunit–subunit interactions by Spahn (2001)
10.1016/0304-3991(87)90225-7 / Ultramicroscopy / A new resolution criterion based on spectral signal-to-noise ratios by Unser (1987)
10.1049/el:19980416 / Electronics Letters / 3D reconstruction from projections for stochastic objects (stochastic tomography) by Ushakov (1998)
10.1016/S0092-8674(03)00476-8 / Cell / Locking and unlocking of ribosomal motions by Valle (2003)
10.1017/S0033583500003644 / Q. Rev. Biophys. / Single-particle electron cryo-microscopy: towards atomic resolution by van Heel (2000)
10.1016/0304-3991(92)90011-8 / Ultramicroscopy / A brief look at imaging and contrast transfer by Wade (1992)
10.1109/23.256736 / IEEE Trans. Nucl. Sci. / Noise properties of filtered-backprojection and ML-EM reconstructed emission tomographic images by Wilson (1993)
10.1126/science.288.5467.877 / Science / Seeing the herpesvirus capsid at 8.5Å by Zhou (2000)
10.1074/jbc.M101765200 / J. Biol. Chem. / Direct evidence for the size and conformational variability of the pyruvate dehydrogenase complex revealed by three-dimensional electron microscopy—The “breathing” core and its functional relationship to protein dynamics by Zhou (2001)

Dates

Type	When
Created	19 years, 6 months ago (Feb. 14, 2006, 7:09 a.m.)
Deposited	6 years, 7 months ago (Jan. 18, 2019, 8:28 a.m.)
Indexed	3 weeks, 1 day ago (July 30, 2025, 10:47 a.m.)
Issued	19 years, 3 months ago (May 1, 2006)
Published	19 years, 3 months ago (May 1, 2006)
Published Print	19 years, 3 months ago (May 1, 2006)

Funders 0

None

BibTeX

@article{Penczek_2006, title={Estimation of variance in single-particle reconstruction using the bootstrap technique}, volume={154}, ISSN={1047-8477}, url={http://dx.doi.org/10.1016/j.jsb.2006.01.003}, DOI={10.1016/j.jsb.2006.01.003}, number={2}, journal={Journal of Structural Biology}, publisher={Elsevier BV}, author={Penczek, Pawel A. and Yang, Chao and Frank, Joachim and Spahn, Christian M.T.}, year={2006}, month=may, pages={168–183} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        30
      ]
    ],
    "date-time": "2025-07-30T14:47:58Z",
    "timestamp": 1753886878794
  },
  "reference-count": 59,
  "publisher": "Elsevier BV",
  "issue": "2",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2006,
            5,
            1
          ]
        ],
        "date-time": "2006-05-01T00:00:00Z",
        "timestamp": 1146441600000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.elsevier.com/tdm/userlicense/1.0/"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        2006,
        5
      ]
    ]
  },
  "DOI": "10.1016/j.jsb.2006.01.003",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2006,
        2,
        14
      ]
    ],
    "date-time": "2006-02-14T12:09:13Z",
    "timestamp": 1139918953000
  },
  "page": "168-183",
  "source": "Crossref",
  "is-referenced-by-count": 106,
  "title": "Estimation of variance in single-particle reconstruction using the bootstrap technique",
  "prefix": "10.1016",
  "volume": "154",
  "author": [
    {
      "given": "Pawel A.",
      "family": "Penczek",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Chao",
      "family": "Yang",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Joachim",
      "family": "Frank",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Christian M.T.",
      "family": "Spahn",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "78",
  "reference": [
    {
      "key": "10.1016/j.jsb.2006.01.003_bib1",
      "doi-asserted-by": "crossref",
      "first-page": "211",
      "DOI": "10.1016/j.jsb.2005.02.006",
      "article-title": "Estimating alignment errors in sets of 2-D images",
      "volume": "150",
      "author": "Baldwin",
      "year": "2005",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib2",
      "doi-asserted-by": "crossref",
      "first-page": "1266",
      "DOI": "10.1364/JOSAA.7.001266",
      "article-title": "Objective assessment of image quality: effects of quantum noise and object variability",
      "volume": "7",
      "author": "Barrett",
      "year": "1990",
      "journal-title": "J. Opt. Soc. Am. A"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib3",
      "doi-asserted-by": "crossref",
      "first-page": "833",
      "DOI": "10.1088/0031-9155/39/5/004",
      "article-title": "Noise properties of the EM algorithm: I. theory",
      "volume": "39",
      "author": "Barrett",
      "year": "1994",
      "journal-title": "Phys. Med. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib4",
      "doi-asserted-by": "crossref",
      "first-page": "88",
      "DOI": "10.1038/386088a0",
      "article-title": "Determination of the fold of the core protein of hepatitis B virus by electron cryomicroscopy",
      "volume": "386",
      "author": "B\u00f6ttcher",
      "year": "1997",
      "journal-title": "Nature"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib5",
      "doi-asserted-by": "crossref",
      "first-page": "1761",
      "DOI": "10.1088/0031-9155/47/10/311",
      "article-title": "A non-parametric bootstrap approach for analysing the statistical properties of SPECT and PET images",
      "volume": "47",
      "author": "Buvat",
      "year": "2002",
      "journal-title": "Phys. Med. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib6",
      "doi-asserted-by": "crossref",
      "first-page": "240",
      "DOI": "10.1109/42.232252",
      "article-title": "An approximation formula for the variance of PET region-of-interest values",
      "volume": "12",
      "author": "Carson",
      "year": "1993",
      "journal-title": "IEEE Trans. Med. Imaging"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib7",
      "doi-asserted-by": "crossref",
      "first-page": "91",
      "DOI": "10.1038/386091a0",
      "article-title": "Visualization of a 4-helix bundle in the hepatitis B virus capsid by cryo-electron microscopy",
      "volume": "386",
      "author": "Conway",
      "year": "1997",
      "journal-title": "Nature"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib8",
      "doi-asserted-by": "crossref",
      "first-page": "2062",
      "DOI": "10.1109/TNS.2002.803688",
      "article-title": "Estimation of image noise in PET using the bootstrap method",
      "volume": "49",
      "author": "Dahlbom",
      "year": "2002",
      "journal-title": "IEEE Trans. Nucl. Sci."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib9",
      "series-title": "Bootstrap Methods and Their Application",
      "author": "Davison",
      "year": "1997"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib10",
      "doi-asserted-by": "crossref",
      "first-page": "493",
      "DOI": "10.1109/83.491322",
      "article-title": "Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): applications to tomography",
      "volume": "5",
      "author": "Fessler",
      "year": "1996",
      "journal-title": "IEEE Trans. Image Process."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib11",
      "doi-asserted-by": "crossref",
      "first-page": "1346",
      "DOI": "10.1109/83.535846",
      "article-title": "Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs",
      "volume": "5",
      "author": "Fessler",
      "year": "1996",
      "journal-title": "IEEE Trans. Image Process."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib12",
      "series-title": "Three-Dimensional Electron Microscopy of Macromolecular Assemblies",
      "author": "Frank",
      "year": "2006"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib13",
      "doi-asserted-by": "crossref",
      "first-page": "318",
      "DOI": "10.1038/35018597",
      "article-title": "A ratchet-like inter-subunit reorganization of the ribosome during translocation",
      "volume": "406",
      "author": "Frank",
      "year": "2000",
      "journal-title": "Nature"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib14",
      "doi-asserted-by": "crossref",
      "first-page": "276",
      "DOI": "10.1016/S0076-6879(00)17020-X",
      "article-title": "Three-dimensional cryoelectron microscopy of ribosomes",
      "volume": "317",
      "author": "Frank",
      "year": "2000",
      "journal-title": "Methods Enzymol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib15",
      "doi-asserted-by": "crossref",
      "first-page": "190",
      "DOI": "10.1006/jsbi.1996.0030",
      "article-title": "SPIDER and WEB: processing and visualization of images in 3D electron microscopy and related fields",
      "volume": "116",
      "author": "Frank",
      "year": "1996",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib16",
      "doi-asserted-by": "crossref",
      "first-page": "1353",
      "DOI": "10.1126/science.7313694",
      "article-title": "Computer averaging of electron micrographs of 40S ribosomal subunits",
      "volume": "214",
      "author": "Frank",
      "year": "1981",
      "journal-title": "Science"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib17",
      "doi-asserted-by": "crossref",
      "first-page": "537",
      "DOI": "10.1016/S0092-8674(00)80690-X",
      "article-title": "Solution structure of the E. coli 70S ribosome at 11.5\u00c5 resolution",
      "volume": "100",
      "author": "Gabashvili",
      "year": "2000",
      "journal-title": "Cell"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib18",
      "doi-asserted-by": "crossref",
      "first-page": "789",
      "DOI": "10.1016/S0092-8674(03)00427-6",
      "article-title": "Study of the structural dynamics of the E. coli 70S ribosome using real-space refinement",
      "volume": "113",
      "author": "Gao",
      "year": "2003",
      "journal-title": "Cell"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib19",
      "doi-asserted-by": "crossref",
      "first-page": "283",
      "DOI": "10.1016/j.jsb.2004.02.008",
      "article-title": "Dynamics of EF-G interaction with the ribosome explored by classification of a heterogeneous cryo-EM dataset",
      "volume": "147",
      "author": "Gao",
      "year": "2004",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib20",
      "doi-asserted-by": "crossref",
      "first-page": "1033",
      "DOI": "10.1006/jmbi.1998.1668",
      "article-title": "Three-dimensional structure of bovine NADH: ubiquinone oxidoreductase (complex I) at 22\u00c5 in ice",
      "volume": "277",
      "author": "Grigorieff",
      "year": "1998",
      "journal-title": "J. Mol. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib21",
      "doi-asserted-by": "crossref",
      "first-page": "27",
      "DOI": "10.1006/jmbi.1997.1611",
      "article-title": "The small heat-shock protein, \u03b1B-crystallin, has a variable quaternary structure",
      "volume": "277",
      "author": "Haley",
      "year": "1998",
      "journal-title": "J. Mol. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib22",
      "series-title": "Sample Survey Methods and Theory",
      "author": "Hansen",
      "year": "1953"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib23",
      "first-page": "146",
      "article-title": "Exact filters for general geometry three dimensional reconstruction",
      "volume": "73",
      "author": "Harauz",
      "year": "1986",
      "journal-title": "Optik"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib24",
      "doi-asserted-by": "crossref",
      "first-page": "337",
      "DOI": "10.1109/42.41486",
      "article-title": "Resampling estimates of precision in emission tomography",
      "volume": "8",
      "author": "Haynor",
      "year": "1989",
      "journal-title": "IEEE Trans. Med. Imaging"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib25",
      "doi-asserted-by": "crossref",
      "first-page": "349",
      "DOI": "10.1016/0304-3991(92)90024-E",
      "article-title": "Quantitative energy-filtered electron microscopy of biological molecules in ice",
      "volume": "46",
      "author": "Langmore",
      "year": "1992",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib26",
      "doi-asserted-by": "crossref",
      "first-page": "152",
      "DOI": "10.1006/jsbi.1999.4185",
      "article-title": "Fast and accurate three-dimensional reconstruction from projections with random orientations via Radon transforms",
      "volume": "128",
      "author": "Lanzavecchia",
      "year": "1999",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib27",
      "doi-asserted-by": "crossref",
      "first-page": "259",
      "DOI": "10.1016/S1047-8477(02)00004-7",
      "article-title": "Symmetry embedding in the reconstruction of macromolecular assemblies via the discrete Radon transform",
      "volume": "137",
      "author": "Lanzavecchia",
      "year": "2002",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib28",
      "doi-asserted-by": "crossref",
      "first-page": "253",
      "DOI": "10.1016/S0092-8674(00)81563-9",
      "article-title": "Maturation dynamics of a viral capsid: visualization of transitional intermediate states",
      "volume": "100",
      "author": "Lata",
      "year": "2000",
      "journal-title": "Cell"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib29",
      "doi-asserted-by": "crossref",
      "first-page": "147",
      "DOI": "10.1023/A:1008946426658",
      "article-title": "Statistical approaches in quantitative positron emission tomography",
      "volume": "10",
      "author": "Leahy",
      "year": "2000",
      "journal-title": "Stat. Comput."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib30",
      "doi-asserted-by": "crossref",
      "first-page": "2615",
      "DOI": "10.1364/JOSAA.12.002615",
      "article-title": "Estimation of variance distribution in three-dimensional reconstruction. I. Theory",
      "volume": "12",
      "author": "Liu",
      "year": "1995",
      "journal-title": "J. Opt. Soc. Am. A\u2013Opt. Image Sci."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib31",
      "doi-asserted-by": "crossref",
      "first-page": "82",
      "DOI": "10.1006/jsbi.1999.4174",
      "article-title": "EMAN: semiautomated software for high-resolution single-particle reconstructions",
      "volume": "128",
      "author": "Ludtke",
      "year": "1999",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib32",
      "doi-asserted-by": "crossref",
      "first-page": "253",
      "DOI": "10.1006/jmbi.2001.5133",
      "article-title": "A 11.5\u00c5 single particle reconstruction of GroEL using EMAN",
      "volume": "314",
      "author": "Ludtke",
      "year": "2001",
      "journal-title": "J. Mol. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib33",
      "doi-asserted-by": "crossref",
      "first-page": "132",
      "DOI": "10.2307/1390729",
      "article-title": "Estimating precision in functional images",
      "volume": "6",
      "author": "Maitra",
      "year": "1997",
      "journal-title": "J. Comput. Graph. Stat."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib34",
      "doi-asserted-by": "crossref",
      "first-page": "379",
      "DOI": "10.1016/S1361-8415(98)80018-2",
      "article-title": "An approximate bootstrap technique for variance estimation in parametric images",
      "volume": "2",
      "author": "Maitra",
      "year": "1998",
      "journal-title": "Med. Image Anal."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib35",
      "doi-asserted-by": "crossref",
      "first-page": "1340",
      "DOI": "10.2307/2670050",
      "article-title": "Variability assessment in positron emission tomography and related generalized deconvolution models",
      "volume": "93",
      "author": "Maitra",
      "year": "1998",
      "journal-title": "J. Am. Stat. Assoc."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib36",
      "doi-asserted-by": "crossref",
      "first-page": "53",
      "DOI": "10.1016/S0304-3991(97)00127-7",
      "article-title": "3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs)",
      "volume": "72",
      "author": "Marabini",
      "year": "1998",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib37",
      "doi-asserted-by": "crossref",
      "first-page": "58",
      "DOI": "10.1109/TMI.1985.4307694",
      "article-title": "Effects of detector wobble motion on image noise in positron emission tomography",
      "volume": "MI-4",
      "author": "Palmer",
      "year": "1985",
      "journal-title": "IEEE Trans. Med. Imaging"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib38",
      "first-page": "115",
      "article-title": "Measures of resolution using Fourier Shell Correlation",
      "volume": "280",
      "author": "Penczek",
      "year": "1998",
      "journal-title": "J. Mol. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib39",
      "doi-asserted-by": "crossref",
      "first-page": "33",
      "DOI": "10.1016/0304-3991(92)90233-A",
      "article-title": "Three-dimensional reconstruction of single particles embedded in ice",
      "volume": "40",
      "author": "Penczek",
      "year": "1992",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib40",
      "doi-asserted-by": "crossref",
      "first-page": "34",
      "DOI": "10.1016/S1047-8477(02)00033-3",
      "article-title": "Three-dimensional Spectral Signal-to-Noise Ratio for a class of reconstruction algorithms",
      "volume": "138",
      "author": "Penczek",
      "year": "2002",
      "journal-title": "J. Struct. Biol."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib41",
      "doi-asserted-by": "crossref",
      "unstructured": "Penczek, P.A., 2002b. Variance in three-dimensional reconstructions from projections. Proceedings of the IEEE International Symposium on Biomedical Imaging, Washington, DC.",
      "DOI": "10.1109/ISBI.2002.1029366"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib42",
      "doi-asserted-by": "crossref",
      "first-page": "251",
      "DOI": "10.1016/0304-3991(94)90038-8",
      "article-title": "The ribosome at improved resolution: new techniques for merging and orientation refinement in 3D cryo-electron microscopy of biological particles",
      "volume": "53",
      "author": "Penczek",
      "year": "1994",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib43",
      "doi-asserted-by": "crossref",
      "first-page": "499",
      "DOI": "10.1364/JOSAA.21.000499",
      "article-title": "Gridding-based direct Fourier inversion of the three-dimensional ray transform",
      "volume": "21",
      "author": "Penczek",
      "year": "2004",
      "journal-title": "J. Opt. Soc. Am. A"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib44",
      "doi-asserted-by": "crossref",
      "first-page": "205",
      "DOI": "10.1016/0304-3991(96)00037-X",
      "article-title": "A common-lines based method for determining orientations for N>3 particle projections simultaneously",
      "volume": "63",
      "author": "Penczek",
      "year": "1996",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib45",
      "first-page": "1",
      "article-title": "Three-dimensional reconstruction with contrast transfer function compensation from defocus series",
      "volume": "11",
      "author": "Penczek",
      "year": "1997",
      "journal-title": "Scan. Microsc. Suppl."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib46",
      "doi-asserted-by": "crossref",
      "first-page": "293",
      "DOI": "10.1109/42.768839",
      "article-title": "A theoretical study of the contrast recovery and variance of MAP reconstructions from PET data",
      "volume": "18",
      "author": "Qi",
      "year": "1999",
      "journal-title": "IEEE Trans. Med. Imaging"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib47",
      "doi-asserted-by": "crossref",
      "first-page": "493",
      "DOI": "10.1109/42.870259",
      "article-title": "Resolution and noise properties of MAP reconstructions in fully 3-D PET",
      "volume": "19",
      "author": "Qi",
      "year": "2000",
      "journal-title": "IEEE Trans. Med. Imaging"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib48",
      "series-title": "Electron Tomography",
      "first-page": "91",
      "article-title": "Weighted back-projection methods",
      "author": "Radermacher",
      "year": "1992"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib49",
      "doi-asserted-by": "crossref",
      "first-page": "127",
      "DOI": "10.1111/j.1365-2818.1982.tb00405.x",
      "article-title": "The correlation averaging of a regularly arranged bacterial envelope protein",
      "volume": "127",
      "author": "Saxton",
      "year": "1982",
      "journal-title": "J. Microsc."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib50",
      "series-title": "The Jackknife and Bootstrap",
      "author": "Shao",
      "year": "1995"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib51",
      "doi-asserted-by": "crossref",
      "first-page": "373",
      "DOI": "10.1016/S0092-8674(01)00539-6",
      "article-title": "Structure of the 80S ribosome from Saccharomyces cerevisiae\u2013tRNA\u2013ribosome and subunit\u2013subunit interactions",
      "volume": "107",
      "author": "Spahn",
      "year": "2001",
      "journal-title": "Cell"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib52",
      "doi-asserted-by": "crossref",
      "first-page": "39",
      "DOI": "10.1016/0304-3991(87)90225-7",
      "article-title": "A new resolution criterion based on spectral signal-to-noise ratios",
      "volume": "23",
      "author": "Unser",
      "year": "1987",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib53",
      "doi-asserted-by": "crossref",
      "first-page": "512",
      "DOI": "10.1049/el:19980416",
      "article-title": "3D reconstruction from projections for stochastic objects (stochastic tomography)",
      "volume": "34",
      "author": "Ushakov",
      "year": "1998",
      "journal-title": "Electronics Letters"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib54",
      "doi-asserted-by": "crossref",
      "first-page": "123",
      "DOI": "10.1016/S0092-8674(03)00476-8",
      "article-title": "Locking and unlocking of ribosomal motions",
      "volume": "114",
      "author": "Valle",
      "year": "2003",
      "journal-title": "Cell"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib55",
      "doi-asserted-by": "crossref",
      "first-page": "307",
      "DOI": "10.1017/S0033583500003644",
      "article-title": "Single-particle electron cryo-microscopy: towards atomic resolution",
      "volume": "33",
      "author": "van Heel",
      "year": "2000",
      "journal-title": "Q. Rev. Biophys."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib56",
      "doi-asserted-by": "crossref",
      "first-page": "145",
      "DOI": "10.1016/0304-3991(92)90011-8",
      "article-title": "A brief look at imaging and contrast transfer",
      "volume": "46",
      "author": "Wade",
      "year": "1992",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib57",
      "doi-asserted-by": "crossref",
      "first-page": "1198",
      "DOI": "10.1109/23.256736",
      "article-title": "Noise properties of filtered-backprojection and ML-EM reconstructed emission tomographic images",
      "volume": "40",
      "author": "Wilson",
      "year": "1993",
      "journal-title": "IEEE Trans. Nucl. Sci."
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib58",
      "doi-asserted-by": "crossref",
      "first-page": "877",
      "DOI": "10.1126/science.288.5467.877",
      "article-title": "Seeing the herpesvirus capsid at 8.5\u00c5",
      "volume": "288",
      "author": "Zhou",
      "year": "2000",
      "journal-title": "Science"
    },
    {
      "key": "10.1016/j.jsb.2006.01.003_bib59",
      "doi-asserted-by": "crossref",
      "first-page": "21704",
      "DOI": "10.1074/jbc.M101765200",
      "article-title": "Direct evidence for the size and conformational variability of the pyruvate dehydrogenase complex revealed by three-dimensional electron microscopy\u2014The \u201cbreathing\u201d core and its functional relationship to protein dynamics",
      "volume": "276",
      "author": "Zhou",
      "year": "2001",
      "journal-title": "J. Biol. Chem."
    }
  ],
  "container-title": "Journal of Structural Biology",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://api.elsevier.com/content/article/PII:S1047847706000219?httpAccept=text/xml",
      "content-type": "text/xml",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://api.elsevier.com/content/article/PII:S1047847706000219?httpAccept=text/plain",
      "content-type": "text/plain",
      "content-version": "vor",
      "intended-application": "text-mining"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2019,
        1,
        18
      ]
    ],
    "date-time": "2019-01-18T13:28:09Z",
    "timestamp": 1547818089000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://linkinghub.elsevier.com/retrieve/pii/S1047847706000219"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2006,
        5
      ]
    ]
  },
  "references-count": 59,
  "journal-issue": {
    "issue": "2",
    "published-print": {
      "date-parts": [
        [
          2006,
          5
        ]
      ]
    }
  },
  "alternative-id": [
    "S1047847706000219"
  ],
  "URL": "http://dx.doi.org/10.1016/j.jsb.2006.01.003",
  "relation": {},
  "ISSN": [
    "1047-8477"
  ],
  "subject": [],
  "container-title-short": "Journal of Structural Biology",
  "published": {
    "date-parts": [
      [
        2006,
        5
      ]
    ]
  }
}