{"id":"https://openalex.org/W2012980170","doi":"https://doi.org/10.1088/0031-9155/43/1/001","title":"Elastostatics of a spherical inclusion in homogeneous biological media","display_name":"Elastostatics of a spherical inclusion in homogeneous biological media","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2012980170","doi":"https://doi.org/10.1088/0031-9155/43/1/001","mag":"2012980170","pmid":"https://pubmed.ncbi.nlm.nih.gov/9483620"},"language":"en","primary_location":{"id":"doi:10.1088/0031-9155/43/1/001","doi":"https://doi.org/10.1088/0031-9155/43/1/001","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0031-9155/43/1/001","pdf_url":"https://iopscience.iop.org/article/10.1088/0031-9155/43/1/001/pdf","source":{"id":"https://openalex.org/S20241394","display_name":"Physics in Medicine and Biology","issn_l":"0031-9155","issn":["0031-9155","1361-6560"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics in Medicine and Biology","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0031-9155/43/1/001/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042036265","display_name":"Mehmet Bilgen","orcid":"https://orcid.org/0000-0001-5671-2021","observed_orcids":["https://orcid.org/0000-0001-5671-2021"]},"institutions":[{"id":"https://openalex.org/I4210128618","display_name":"University of Kansas Medical Center","ror":"https://ror.org/036c9yv20","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210128618"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehmet Bilgen","raw_affiliation_strings":["Department of Radiology, University of Kansas Medical Center, Kansas City 66160-7234, USA","Department of Radiology, University of Kansas Medical Center, Kansas City, KS 66160-7234, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiology, University of Kansas Medical Center, Kansas City 66160-7234, USA","institution_ids":["https://openalex.org/I4210128618"]},{"raw_affiliation_string":"Department of Radiology, University of Kansas Medical Center, Kansas City, KS 66160-7234, USA","institution_ids":["https://openalex.org/I4210128618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048629954","display_name":"Michael F. Insana","orcid":"https://orcid.org/0000-0002-6630-0298","observed_orcids":["https://orcid.org/0000-0002-6630-0298"]},"institutions":[{"id":"https://openalex.org/I4210128618","display_name":"University of Kansas Medical Center","ror":"https://ror.org/036c9yv20","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210128618"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael F Insana","raw_affiliation_strings":["Department of Molecular and Integrative Physiology, University of Kansas Medical Center, Kansas City, KS 66160-7234, USA","Department of Radiology, University of Kansas Medical Center, Kansas City, KS 66160-7234, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Molecular and Integrative Physiology, University of Kansas Medical Center, Kansas City, KS 66160-7234, USA","institution_ids":["https://openalex.org/I4210128618"]},{"raw_affiliation_string":"Department of Radiology, University of Kansas Medical Center, Kansas City, KS 66160-7234, USA","institution_ids":["https://openalex.org/I4210128618"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210128618"],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":4.3281,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.93704845,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"43","issue":"1","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spherical-inclusions","display_name":"spherical inclusions","score":0.7950000166893005},{"id":"https://openalex.org/keywords/elastostatics","display_name":"elastostatics","score":0.9440000057220459},{"id":"https://openalex.org/keywords/strain-contrast","display_name":"strain contrast","score":0.5609999895095825},{"id":"https://openalex.org/keywords/shear-modulus","display_name":"shear modulus","score":0.6019999980926514},{"id":"https://openalex.org/keywords/stress-and-strain-distribution","display_name":"stress and strain distribution","score":0.6460000276565552},{"id":"https://openalex.org/keywords/inclusion-size-effect","display_name":"inclusion size effect","score":0.5550000071525574},{"id":"https://openalex.org/keywords/strain-concentration","display_name":"strain concentration","score":0.6110000014305115},{"id":"https://openalex.org/keywords/tissue-compression","display_name":"tissue compression","score":0.5609999895095825},{"id":"https://openalex.org/keywords/elastography","display_name":"elastography","score":0.7799999713897705}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6192140579223633},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.6145229935646057},{"id":"https://openalex.org/C3161131","wikidata":"https://www.wikidata.org/wiki/Q14097093","display_name":"Linear elasticity","level":3,"score":0.585745096206665},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5663525462150574},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5641390681266785},{"id":"https://openalex.org/C41279357","wikidata":"https://www.wikidata.org/wiki/Q461466","display_name":"Shear modulus","level":2,"score":0.49767234921455383},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.4678930342197418},{"id":"https://openalex.org/C21141959","wikidata":"https://www.wikidata.org/wiki/Q657936","display_name":"Shear stress","level":2,"score":0.4641830325126648},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4396449029445648},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.43150651454925537},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4179568886756897},{"id":"https://openalex.org/C43486711","wikidata":"https://www.wikidata.org/wiki/Q192005","display_name":"Elastic modulus","level":2,"score":0.4166703224182129},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.39213359355926514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38907676935195923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2845247685909271},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.26138249039649963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23440733551979065},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.22579818964004517},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D003560","descriptor_name":"Cysts","qualifier_ui":"Q000175","qualifier_name":"diagnosis","is_major_topic":false},{"descriptor_ui":"D003560","descriptor_name":"Cysts","qualifier_ui":"Q000503","qualifier_name":"physiopathology","is_major_topic":false},{"descriptor_ui":"D004548","descriptor_name":"Elasticity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000175","qualifier_name":"diagnosis","is_major_topic":false},{"descriptor_ui":"D009369","descriptor_name":"Neoplasms","qualifier_ui":"Q000503","qualifier_name":"physiopathology","is_major_topic":false},{"descriptor_ui":"D013314","descriptor_name":"Stress, Mechanical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1088/0031-9155/43/1/001","doi":"https://doi.org/10.1088/0031-9155/43/1/001","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0031-9155/43/1/001","pdf_url":"https://iopscience.iop.org/article/10.1088/0031-9155/43/1/001/pdf","source":{"id":"https://openalex.org/S20241394","display_name":"Physics in Medicine and Biology","issn_l":"0031-9155","issn":["0031-9155","1361-6560"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics in Medicine and Biology","raw_type":"journal-article"},{"id":"pmid:9483620","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9483620","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics in medicine and biology","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1088/0031-9155/43/1/001","doi":"https://doi.org/10.1088/0031-9155/43/1/001","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0031-9155/43/1/001","pdf_url":"https://iopscience.iop.org/article/10.1088/0031-9155/43/1/001/pdf","source":{"id":"https://openalex.org/S20241394","display_name":"Physics in Medicine and Biology","issn_l":"0031-9155","issn":["0031-9155","1361-6560"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","doyens","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics in Medicine and Biology","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.6240000128746033}],"study_designs":[],"awards":[{"id":"https://openalex.org/G7050631637","display_name":"ELASTOGRAPHY: CLINICAL AND BASIC SCIENCE","funder_award_id":"P01CA064597","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012980170.pdf","grobid_xml":"https://content.openalex.org/works/W2012980170.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W130150993","https://openalex.org/W1974915238","https://openalex.org/W2029156639","https://openalex.org/W2037264646","https://openalex.org/W2061944502","https://openalex.org/W2080174085","https://openalex.org/W2083039650","https://openalex.org/W2104289161","https://openalex.org/W2130241710","https://openalex.org/W2136029976","https://openalex.org/W2139465203","https://openalex.org/W2140534001","https://openalex.org/W2412507095","https://openalex.org/W3174162671","https://openalex.org/W4293542910"],"related_works":["https://openalex.org/W1612441137","https://openalex.org/W7095889112","https://openalex.org/W2091360991","https://openalex.org/W2120578326","https://openalex.org/W4237280248","https://openalex.org/W2064842145","https://openalex.org/W2391381579","https://openalex.org/W2333233929","https://openalex.org/W2789259622","https://openalex.org/W1975808607"],"abstract_inverted_index":{"A":[0],"three-dimensional":[1],"spherical":[2],"inclusion":[3,194],"model":[4],"that":[5,104,113],"approximates":[6],"a":[7,11,37,55,137,213,217],"lesion":[8,218],"bonded":[9],"to":[10,59,93,99,166],"tissue":[12,215],"matrix":[13,78,106,180],"is":[14,219],"proposed":[15],"for":[16,54,118,140,221],"biomedical":[17],"elastography.":[18],"Analytical":[19,86],"formulae":[20],"describing":[21],"spatial":[22],"strain":[23,87,147,159,173,185,208],"and":[24,44,77,88,172,174,209,226],"stress":[25,45,71,89,175,210],"distributions":[26,46,211],"generated":[27],"in":[28,168,177,212],"infinite":[29],"media":[30],"by":[31,128],"uniform":[32,73,129],"loading":[33,68],"are":[34,47,91,108],"given":[35],"under":[36],"linear,":[38],"homogeneous,":[39],"isotropic":[40],"elasticity":[41,233],"assumption.":[42],"Strain":[43],"also":[48,164,198],"calculated":[49],"using":[50],"finite-element":[51],"analysis":[52],"(FEA)":[53],"variety":[56],"of":[57,63,83,114,131,192,202,232],"cases":[58],"determine":[60],"the":[61,81,84,96,105,115,132,158,178,182,190,193,200,204,207,223,229],"effects":[62],"shear":[64,143],"modulus":[65,144],"distribution,":[66],"external":[67],"conditions":[69,123],"(uniform":[70],"versus":[72],"displacement),":[74],"compressor":[75],"size":[76],"dimensions":[79,107],"on":[80],"elastostatics":[82],"tissue.":[85,205],"predictions":[90],"shown":[92],"agree":[94],"with":[95],"FEA":[97],"results":[98],"within":[100],"10%":[101],"accuracy":[102],"provided":[103],"at":[109],"least":[110],"ten":[111],"times":[112],"inclusion.":[116,183],"Also":[117],"these":[119],"cases,":[120],"uniform-stress":[121],"boundary":[122],"can":[124],"be":[125],"equivalently":[126],"represented":[127],"displacement":[130],"boundary.":[133],"Spherical":[134],"inclusions":[135],"exhibit":[136],"lower":[138],"efficiency":[139],"transferring":[141],"elastic":[142],"contrast":[145,148],"into":[146],"than":[149],"cylindrical":[150],"or":[151],"planar":[152],"inclusions.":[153],"Additional":[154],"compression":[155],"will":[156],"increase":[157,199],"contrast.":[160],"However,":[161],"large":[162],"compressions":[163],"lead":[165],"increases":[167],"ultrasonic":[169],"signal":[170],"decorrelation":[171],"concentrations":[176,186],"homogeneous":[179],"around":[181],"Although":[184],"may":[187],"help":[188],"describe":[189],"boundaries":[191],"more":[195],"clearly,":[196],"they":[197],"risk":[201],"damaging":[203],"Understanding":[206],"biological":[214],"containing":[216],"necessary":[220],"optimizing":[222],"experimental":[224],"configurations":[225],"consequently":[227],"improving":[228],"diagnostic":[230],"values":[231],"imaging.":[234]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2016-06-24T00:00:00"}