{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T12:23:02Z","timestamp":1787660582107,"version":"build-2736575974"},"reference-count":53,"publisher":"IOP Publishing","issue":"16","license":[{"start":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T00:00:00Z","timestamp":1787616000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T00:00:00Z","timestamp":1787616000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"},{"start":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T00:00:00Z","timestamp":1787616000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/questions\/alternative-author-rights-policies\/"},{"start":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T00:00:00Z","timestamp":1787616000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/questions\/alternative-author-rights-policies\/"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Phys. Med. Biol."],"published-print":{"date-parts":[[2026,8,28]]},"abstract":"Abstract<\/jats:title>\n \n Objective.<\/jats:italic>\n Local wavenumber estimation in harmonic shear-wave elastography is strongly influenced by wavefield geometry. We introduce the radial energy-quantile (REQ) estimator, a local spectral method designed to estimate wavenumber across directional, intermediate, and projected diffuse wavefield regimes.\n Approach.<\/jats:italic>\n REQ defines the local wavenumber as the radial spatial frequency at which the cumulative angularly averaged power spectrum reaches a prescribed quantile, denoted by\n \n \n \n <\/jats:tex-math>\n \n \n q<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n . The value of\n \n \n \n <\/jats:tex-math>\n \n \n q<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n is selected\n a priori<\/jats:italic>\n from discrete-consistent theoretical models that account for finite windowing, Fourier sampling, and radial binning. The dependence of\n \n \n \n <\/jats:tex-math>\n \n \n q<\/mml:mi>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n on wavefield geometry was characterized using aperture-controlled simulations. REQ was subsequently evaluated using full-wave k-Wave simulations, tissue-mimicking gelatin phantoms with independent mechanical reference measurements, and\n ex vivo<\/jats:italic>\n bovine liver and kidney experiments. REQ was benchmarked against the angular integral autocorrelation (AIA) estimator in the k-Wave simulations and in the inclusion phantom.\n Main results.<\/jats:italic>\n The required quantile increased as the angular support of the wavefield broadened from predominantly directional propagation toward the projected diffuse 3D regime. In k-Wave simulations, REQ produced lower inclusion-region absolute percentage error than the AIA estimator in all four evaluated wavefield classes, with maximum errors of 5.97% and 28.27%, respectively. The mean estimator runtime was\n \n \n \n <\/jats:tex-math>\n \n \n 0.66<\/mml:mn>\n \u00b1<\/mml:mo>\n 0.10<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n s for REQ, compared with\n \n \n \n <\/jats:tex-math>\n \n \n 72.34<\/mml:mn>\n \u00b1<\/mml:mo>\n 9.20<\/mml:mn>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:inline-formula>\n s for the comparator. In phantom experiments, REQ preserved the expected contrast between the soft and stiff regions under both excitation configurations. In the inclusion phantom, REQ also showed lower spatial variability, smaller distances to the mechanical reference bands, and better contrast recovery than AIA under both excitation configurations. In the\n ex vivo<\/jats:italic>\n experiments, REQ recovered tissue-background differences and frequency-dependent responses in both liver and kidney.\n Significance.<\/jats:italic>\n REQ provides a physically interpretable and computationally efficient framework for geometry-aware local wavenumber estimation across a broad range of harmonic wavefield conditions. These results support further development toward adaptive local quantile selection, fully three-dimensional implementations, and broader\n in vivo<\/jats:italic>\n validation.\n <\/jats:p>","DOI":"10.1088\/1361-6560\/ae99a8","type":"journal-article","created":{"date-parts":[[2026,8,13]],"date-time":"2026-08-13T22:53:02Z","timestamp":1786661582000},"page":"165029","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Radial energy-quantile estimation for geometry-aware local wavenumber mapping in harmonic shear-wave elastography"],"prefix":"10.1088","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1601-6704","authenticated-orcid":true,"given":"Sara","family":"Gomez-Ramirez","sequence":"first","affiliation":[{"name":"University of Rochester"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-0263-9967","authenticated-orcid":false,"given":"Gilmer A","family":"Flores Barrera","sequence":"additional","affiliation":[{"name":"University of Rochester"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1913-0636","authenticated-orcid":true,"given":"Benjamin","family":"Castaneda","sequence":"additional","affiliation":[{"name":"University of Rochester"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,8,25]]},"reference":[{"key":"pmbae99a8bib1","doi-asserted-by":"publisher","first-page":"25519","DOI":"10.1364\/OE.18.025519","type":"journal-article","article-title":"Spectroscopic optical coherence elastography","volume":"18","author":"Adie","year":"2010","journal-title":"Opt. Express"},{"key":"pmbae99a8bib2","first-page":"pp 4428","type":"conference-proceedings","article-title":"In vitro renal cortex elasticity and viscosity measurements with shearwave dispersion ultrasound vibrometry (SDUV) on swine kidney","author":"Amador","year":"2009"},{"key":"pmbae99a8bib3","doi-asserted-by":"publisher","first-page":"413","DOI":"10.3390\/acoustics6020023","type":"journal-article","article-title":"Angular integral autocorrelation for speed estimation in shear-wave elastography","volume":"6","author":"Asemani","year":"2024","journal-title":"Acoustics"},{"key":"pmbae99a8bib4","doi-asserted-by":"publisher","first-page":"1987","DOI":"10.1148\/rg.2016160042","type":"journal-article","article-title":"Elastography in chronic liver disease: modalities, techniques, limitations and future directions","volume":"36","author":"Babu","year":"2016","journal-title":"Radio Graph."},{"key":"pmbae99a8bib5","type":"book","article-title":"Prostate cancer detection using crawling wave sonoelastography","volume":"vol 7265","author":"Castaneda","year":"2009"},{"key":"pmbae99a8bib6","doi-asserted-by":"publisher","DOI":"10.3389\/fbioe.2023.1236949","type":"journal-article","article-title":"Effects of kidney perfusion on renal stiffness and tissue fluidity measured with tomoelastography in AN mri-compatible EX vivo model","volume":"11","author":"Castelein","year":"2023","journal-title":"Front. Bioeng. Biotechnol."},{"key":"pmbae99a8bib7","doi-asserted-by":"publisher","first-page":"2781","DOI":"10.1121\/1.1739480","type":"journal-article","article-title":"Quantifying elasticity and viscosity from measurement of shear wave speed dispersion","volume":"115","author":"Chen","year":"2004","journal-title":"J. Acoust. Soc. Am."},{"key":"pmbae99a8bib8","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1109\/TUFFC.2009.1005","type":"journal-article","article-title":"Shearwave dispersion ultrasound vibrometry (SDUV) for measuring tissue elasticity and viscosity","volume":"56","author":"Chen","year":"2009","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"pmbae99a8bib9","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1109\/TMI.2008.925077","type":"journal-article","article-title":"Shear wave spectroscopy for in vivo quantification of human soft tissues visco-elasticity","volume":"28","author":"Deffieux","year":"2009","journal-title":"IEEE Trans. Med. Imaging"},{"key":"pmbae99a8bib10","doi-asserted-by":"publisher","first-page":"1503","DOI":"10.1109\/JPROC.2003.817865","type":"journal-article","article-title":"Imaging elastic properties of biological tissues by low-frequency harmonic vibration","volume":"91","author":"Fatemi","year":"2003","journal-title":"Proc. IEEE"},{"key":"pmbae99a8bib11","first-page":"pp 1","type":"conference-proceedings","article-title":"Experimental study to evaluate the generation of reverberant shear wave fields (R-SWF) in homogenous media","author":"Flores","year":"2020"},{"key":"pmbae99a8bib12","doi-asserted-by":"publisher","first-page":"758","DOI":"10.2214\/AJR.06.0322","type":"journal-article","article-title":"Real-time elastography for noninvasive assessment of liver fibrosis in chronic viral hepatitis","volume":"188","author":"Friedrich-Rust","year":"2007","journal-title":"AJR. Am. J. Roentgenol."},{"key":"pmbae99a8bib13","doi-asserted-by":"publisher","DOI":"10.60593\/ur.d.33006944","type":"dataset","article-title":"Dataset: Radial energy-quantile estimation for geometry-aware local wavenumber mapping in harmonic shear-wave elastography","author":"Gomez-Ramirez","year":"2026","unstructured":"Gomez-Ramirez S Flores Barrera G A Castaneda B 2026 Dataset: Radial energy-quantile estimation for geometry-aware local wavenumber mapping in harmonic shear-wave elastography 10.60593\/ur.d.33006944"},{"key":"pmbae99a8bib14","type":"journal-article","article-title":"Real-time ultrasound shear wave elastography using a local phase gradient","volume":"254","author":"Gonz\u00e1lez-Mateo","year":"2024","journal-title":"Comput. Methods Programs Biomed."},{"key":"pmbae99a8bib15","article-title":"Ultrafast ultrasound imaging for 3D shear wave absolute vibro-elastography","author":"Hashemi","year":"2023","type":"other"},{"key":"pmbae99a8bib16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmbbm.2022.105638","type":"journal-article","article-title":"Ex vivo bovine liver nonlinear viscoelastic properties: MR elastography and rheological measurements","volume":"138","author":"Jug\u00e9","year":"2023","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"pmbae99a8bib17","doi-asserted-by":"publisher","first-page":"894","DOI":"10.1109\/TMI.2018.2874545","type":"journal-article","article-title":"Local phase velocity based imaging: a new technique used for ultrasound shear wave elastography","volume":"38","author":"Kijanka","year":"2019","journal-title":"IEEE Trans. Med. Imaging"},{"key":"pmbae99a8bib18","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.ultrasmedbio.2019.08.011","type":"journal-article","article-title":"Stiffness and anisotropy effect on shear wave elastography: a phantom and in vivo renal study","volume":"46","author":"Leong","year":"2020","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib19","doi-asserted-by":"publisher","first-page":"1049","DOI":"10.1109\/TUFFC.2016.2558662","type":"journal-article","article-title":"Evaluating the improvement in shear wave speed image quality using multidimensional directional filters in the presence of reflection artifacts","volume":"63","author":"Lipman","year":"2016","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"pmbae99a8bib20","doi-asserted-by":"publisher","first-page":"689","DOI":"10.1109\/58.393111","type":"journal-article","article-title":"Experimental evaluation of velocity and power estimation for ultrasound blood flow imaging, by means of a two-dimensional autocorrelation approach","volume":"42","author":"Loupas","year":"1995","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"pmbae99a8bib21","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1016\/S1361-8415(03)00038-0","type":"journal-article","article-title":"Spatio-temporal directional filtering for improved inversion of MR elastography images","volume":"7","author":"Manduca","year":"2003","journal-title":"Med. Image Anal."},{"key":"pmbae99a8bib22","first-page":"pp 527","type":"conference-proceedings","article-title":"Local wavelength estimation for magnetic resonance elastography","author":"Manduca","year":"1996"},{"key":"pmbae99a8bib23","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1002\/ca.21006","type":"journal-article","article-title":"Magnetic resonance elastography: a review","volume":"23","author":"Mariappan","year":"2010","journal-title":"Clin. Anat."},{"key":"pmbae99a8bib24","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1111\/cgf.12190","type":"journal-article","article-title":"Spherical fibonacci point sets for illumination integrals","volume":"32","author":"Marques","year":"2013","journal-title":"Comput. Graph. Forum"},{"key":"pmbae99a8bib25","first-page":"pp 1","type":"conference-proceedings","article-title":"Regularized phase gradient analysis for reverberant shear wave elastography","author":"Miranda","year":"2024"},{"key":"pmbae99a8bib26","doi-asserted-by":"publisher","DOI":"10.3389\/fbioe.2024.1386955","type":"journal-article","article-title":"Rheological properties of porcine organs: measurements and fractional viscoelastic model","volume":"12","author":"Mishra","year":"2024","journal-title":"Front. Bioeng. Biotechnol."},{"key":"pmbae99a8bib27","doi-asserted-by":"publisher","first-page":"1854","DOI":"10.1126\/science.7569924","type":"journal-article","article-title":"Magnetic resonance elastography by direct visualization of propagating acoustic strain waves","volume":"269","author":"Muthupillai","year":"1995","journal-title":"Science"},{"key":"pmbae99a8bib28","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1002\/1522-2594(200102)45:23.0.CO;2-O","type":"journal-article","article-title":"Complex-valued stiffness reconstruction for magnetic resonance elastography by algebraic inversion of the differential equation","volume":"45","author":"Oliphant","year":"2001","journal-title":"Magn. Reson. Med."},{"key":"pmbae99a8bib29","doi-asserted-by":"publisher","first-page":"963","DOI":"10.1016\/j.ultrasmedbio.2018.01.011","type":"journal-article","article-title":"Shear wave speed estimation using reverberant shear wave fields: implementation and feasibility studies","volume":"44","author":"Ormachea","year":"2018","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib30","doi-asserted-by":"publisher","first-page":"24TR06","DOI":"10.1088\/1361-6560\/abca00","type":"journal-article","article-title":"Elastography imaging: the 30 year perspective","volume":"65","author":"Ormachea","year":"2020","journal-title":"Phys. Med. Biol."},{"key":"pmbae99a8bib31","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6560\/ac1b37","type":"journal-article","article-title":"Reverberant shear wave phase gradients for elastography","volume":"66","author":"Ormachea","year":"2021","journal-title":"Phys. Med. Biol."},{"key":"pmbae99a8bib32","doi-asserted-by":"publisher","first-page":"3147","DOI":"10.1088\/0031-9155\/53\/12\/005","type":"journal-article","article-title":"Algebraic helmholtz inversion in planar magnetic resonance elastography","volume":"53","author":"Papazoglou","year":"2008","journal-title":"Phys. Med. Biol."},{"key":"pmbae99a8bib33","doi-asserted-by":"publisher","first-page":"2329","DOI":"10.1088\/0031-9155\/57\/8\/2329","type":"journal-article","article-title":"Multifrequency inversion in magnetic resonance elastography","volume":"57","author":"Papazoglou","year":"2012","journal-title":"Phys. Med. Biol."},{"key":"pmbae99a8bib34","doi-asserted-by":"publisher","first-page":"1046","DOI":"10.1088\/1361-6560\/aa5201","type":"journal-article","article-title":"Reverberant shear wave fields and estimation of tissue properties","volume":"62","author":"Parker","year":"2017","journal-title":"Phys. Med. Biol."},{"key":"pmbae99a8bib35","doi-asserted-by":"crossref","DOI":"10.3390\/acoustics5020035","type":"preprint","article-title":"Limitations of curl and directional filters in elastography","author":"Parker","year":"2023"},{"key":"pmbae99a8bib36","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6560\/ab453d","type":"journal-article","article-title":"Towards a consensus on rheological models for elastography in soft tissues","volume":"64","author":"Parker","year":"2019","journal-title":"Phys. Med. Biol."},{"key":"pmbae99a8bib37","doi-asserted-by":"publisher","first-page":"2705","DOI":"10.1121\/1.1880772","type":"journal-article","article-title":"A unified view of imaging the elastic properties of tissue","volume":"117","author":"Parker","year":"2005","journal-title":"J. Acoust. Soc. Am."},{"key":"pmbae99a8bib38","doi-asserted-by":"publisher","first-page":"157","DOI":"10.2174\/157340506775541631","type":"journal-article","article-title":"Ultrasonic elasticity imaging as a tool for breast cancer diagnosis and research","volume":"2","author":"Pellot-Barakat","year":"2006","journal-title":"Curr. Med. Imaging Rev."},{"key":"pmbae99a8bib39","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/j.actbio.2022.04.047","type":"journal-article","article-title":"Comprehensive experimental assessments of rheological models\u2019 performance in elastography of soft tissues","volume":"146","author":"Poul","year":"2022","journal-title":"Acta Biomater."},{"key":"pmbae99a8bib40","doi-asserted-by":"publisher","DOI":"10.1121\/2.0000398","type":"journal-article","article-title":"Simulation of shear wave elastography imaging using the toolbox \u201ck-wave\u201d","volume":"27","author":"Prieur","year":"2016","journal-title":"Proc. Meet. Acoust."},{"key":"pmbae99a8bib41","doi-asserted-by":"publisher","first-page":"2500","DOI":"10.1016\/j.ultrasmedbio.2017.06.006","type":"journal-article","article-title":"Accounting for the spatial observation window in the 2-D fourier transform analysis of shear wave attenuation","volume":"43","author":"Rouze","year":"2017","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib42","doi-asserted-by":"publisher","first-page":"1012","DOI":"10.1121\/1.4927492","type":"journal-article","article-title":"An analytic, fourier domain description of shear wave propagation in a viscoelastic medium using asymmetric gaussian sources","volume":"137","author":"Rouze","year":"2015","journal-title":"J. Acoust. Soc. Am."},{"key":"pmbae99a8bib43","doi-asserted-by":"publisher","first-page":"185","DOI":"10.14366\/usg.16053","type":"journal-article","article-title":"Current status of musculoskeletal application of shear wave elastography","volume":"36","author":"Ryu","year":"2017","journal-title":"Ultrasonography"},{"key":"pmbae99a8bib44","doi-asserted-by":"publisher","first-page":"1705","DOI":"10.1016\/j.ultrasmedbio.2003.07.001","type":"journal-article","article-title":"Transient elastography: a new noninvasive method for assessment of hepatic fibrosis","volume":"29","author":"Sandrin","year":"2003","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib45","doi-asserted-by":"publisher","first-page":"1126","DOI":"10.1016\/j.ultrasmedbio.2015.03.009","type":"journal-article","article-title":"WFUMB guidelines and recommendations for clinical use of ultrasound elastography: part 1: basic principles and terminology","volume":"41","author":"Shiina","year":"2015","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib46","doi-asserted-by":"publisher","first-page":"1303","DOI":"10.7150\/thno.18650","type":"journal-article","article-title":"Ultrasound elastography: review of techniques and clinical applications","volume":"7","author":"Sigrist","year":"2017","journal-title":"Theranostics"},{"key":"pmbae99a8bib47","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1016\/j.ultrasmedbio.2008.02.002","type":"journal-article","article-title":"Quantitative assessment of breast lesion viscoelasticity: initial clinical results using supersonic shear imaging","volume":"34","author":"Tanter","year":"2008","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib48","first-page":"pp 146","type":"conference-proceedings","article-title":"Modelling elastic wave propagation using the k-wave matlab toolbox","author":"Treeby","year":"2014"},{"key":"pmbae99a8bib49","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.media.2016.01.001","type":"journal-article","article-title":"Tomoelastography by multifrequency wave number recovery from time-harmonic propagating shear waves","volume":"30","author":"Tzsch\u00e4tzsch","year":"2016","journal-title":"Med. Image Anal."},{"key":"pmbae99a8bib50","doi-asserted-by":"publisher","first-page":"586","DOI":"10.1016\/j.ultrasmedbio.2018.07.002","type":"journal-article","article-title":"Dispersion in tissue-mimicking gels measured with shear wave elastography and torsional vibration rheometry","volume":"45","author":"Yengul","year":"2019","journal-title":"Ultrasound Med. Biol."},{"key":"pmbae99a8bib51","doi-asserted-by":"publisher","DOI":"10.1088\/2057-1976\/ad6b31","type":"journal-article","article-title":"Characterizing dispersion in bovine liver using ARFI-based shear wave rheometry","volume":"10","author":"Yengul","year":"2024","journal-title":"Biomed. Phys. Eng. Express"},{"key":"pmbae99a8bib52","doi-asserted-by":"publisher","DOI":"10.1088\/2516-1091\/ac4512","type":"journal-article","article-title":"Wave-based optical coherence elastography: the 10-year perspective","volume":"4","author":"Zvietcovich","year":"2022","journal-title":"Prog. Biomed. Eng."},{"key":"pmbae99a8bib53","doi-asserted-by":"publisher","first-page":"4895","DOI":"10.1038\/s41467-019-12803-4","type":"journal-article","article-title":"Reverberant 3D optical coherence elastography maps the elasticity of individual corneal layers","volume":"10","author":"Zvietcovich","year":"2019","journal-title":"Nat. Commun."}],"container-title":["Physics in Medicine & Biology"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8","content-type":"text\/html","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T11:37:38Z","timestamp":1787657858000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/ae99a8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,25]]},"references-count":53,"journal-issue":{"issue":"16","published-online":{"date-parts":[[2026,8,25]]},"published-print":{"date-parts":[[2026,8,28]]}},"URL":"https:\/\/doi.org\/10.1088\/1361-6560\/ae99a8","relation":{},"ISSN":["0031-9155","1361-6560"],"issn-type":[{"value":"0031-9155","type":"print"},{"value":"1361-6560","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,25]]},"assertion":[{"value":"Radial energy-quantile estimation for geometry-aware local wavenumber mapping in harmonic shear-wave elastography","name":"article_title","label":"Article Title"},{"value":"Physics in Medicine & Biology","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2026 The Author(s). Published on behalf of Institute of Physics and Engineering in Medicine by IOP Publishing Ltd","name":"copyright_information","label":"Copyright Information"},{"value":"2026-05-28","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-08-10","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-08-25","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}