{"id":"https://openalex.org/W2046311960","doi":"https://doi.org/10.1137/060651562","title":"Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow","display_name":"Modeling Viscoelastic Behavior of Arterial Walls and Their Interaction with Pulsatile Blood Flow","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2046311960","doi":"https://doi.org/10.1137/060651562","mag":"2046311960"},"language":"en","primary_location":{"id":"doi:10.1137/060651562","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060651562","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106445920","display_name":"Sun\u010dica \u010cani\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sun\u010dica \u010cani\u0107","raw_affiliation_strings":["Department of Mathematics, University of Houston, 4800 Calhoun Rd., Houston, TX 77204-3476"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, 4800 Calhoun Rd., Houston, TX 77204-3476","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025731458","display_name":"Josip Tamba\u010da","orcid":"https://orcid.org/0000-0003-1792-6056"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Josip Tamba\u010da","raw_affiliation_strings":["Department of Mathematics, University of Zagreb, Bijeni\u010dka"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Zagreb, Bijeni\u010dka","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083519142","display_name":"Giovanna Guidoboni","orcid":"https://orcid.org/0000-0001-7470-0171"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Giovanna Guidoboni","raw_affiliation_strings":["Department of Mathematics, University of Houston, 4800 Calhoun Rd., Houston, TX 77204-3476"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, 4800 Calhoun Rd., Houston, TX 77204-3476","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077009185","display_name":"Andro Mikeli\u0107","orcid":"https://orcid.org/0000-0002-4752-8705"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andro Mikeli\u0107","raw_affiliation_strings":["Institue Camille Jordan, UFR Math\u00e9matiques, Site de Gerland, Universit\u00e9 Claude Bernard Lyon 1, Bat. A, 50 avenue Tony Garnier, 69367 Lyon Cedex 07, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institue Camille Jordan, UFR Math\u00e9matiques, Site de Gerland, Universit\u00e9 Claude Bernard Lyon 1, Bat. A, 50 avenue Tony Garnier, 69367 Lyon Cedex 07, France","institution_ids":["https://openalex.org/I4210104796","https://openalex.org/I100532134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029827015","display_name":"Craig J. Hartley","orcid":null},"institutions":[{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]},{"id":"https://openalex.org/I1333109800","display_name":"St. Luke's Episcopal Hospital","ror":"https://ror.org/0195twz09","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1333109800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Craig J. Hartley","raw_affiliation_strings":["University of Texas Health Science Center at Houston, Houston, TX 77030","St. Luke's Episcopal Hospital, Houston, TX 77030,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas Health Science Center at Houston, Houston, TX 77030","institution_ids":["https://openalex.org/I919571938"]},{"raw_affiliation_string":"St. Luke's Episcopal Hospital, Houston, TX 77030,","institution_ids":["https://openalex.org/I1333109800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070010434","display_name":"Doreen Rosenstrauch","orcid":null},"institutions":[{"id":"https://openalex.org/I1333109800","display_name":"St. Luke's Episcopal Hospital","ror":"https://ror.org/0195twz09","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1333109800"]},{"id":"https://openalex.org/I919571938","display_name":"The University of Texas Health Science Center at Houston","ror":"https://ror.org/03gds6c39","country_code":"US","type":"education","lineage":["https://openalex.org/I919571938"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Doreen Rosenstrauch","raw_affiliation_strings":["St. Luke's Episcopal Hospital, Houston, TX 77030,","University of Texas Health Science Center at Houston, Houston, TX 77030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Luke's Episcopal Hospital, Houston, TX 77030,","institution_ids":["https://openalex.org/I1333109800"]},{"raw_affiliation_string":"University of Texas Health Science Center at Houston, Houston, TX 77030","institution_ids":["https://openalex.org/I919571938"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5070010434"],"corresponding_institution_ids":["https://openalex.org/I1333109800","https://openalex.org/I919571938"],"apc_list":null,"apc_paid":null,"fwci":2.4172,"has_fulltext":false,"cited_by_count":139,"citation_normalized_percentile":{"value":0.89433935,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"67","issue":"1","first_page":"164","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10924","display_name":"Cardiovascular Health and Disease Prevention","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"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/T10924","display_name":"Cardiovascular Health and Disease Prevention","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"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":0.9965000152587891,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.6455433368682861},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5988261699676514},{"id":"https://openalex.org/keywords/pulsatile-flow","display_name":"Pulsatile flow","score":0.5370048880577087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.530064046382904},{"id":"https://openalex.org/keywords/fluid\u2013structure-interaction","display_name":"Fluid\u2013structure interaction","score":0.4626404345035553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45974594354629517},{"id":"https://openalex.org/keywords/axial-symmetry","display_name":"Axial symmetry","score":0.4512828290462494},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.44281625747680664},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4412727952003479},{"id":"https://openalex.org/keywords/viscous-liquid","display_name":"Viscous liquid","score":0.4409436285495758},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4130944609642029},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3594475984573364},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2954208552837372},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12172549962997437}],"concepts":[{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.6455433368682861},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5988261699676514},{"id":"https://openalex.org/C79191276","wikidata":"https://www.wikidata.org/wiki/Q7259620","display_name":"Pulsatile flow","level":2,"score":0.5370048880577087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.530064046382904},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.4626404345035553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45974594354629517},{"id":"https://openalex.org/C35377427","wikidata":"https://www.wikidata.org/wiki/Q3886264","display_name":"Axial symmetry","level":2,"score":0.4512828290462494},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.44281625747680664},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4412727952003479},{"id":"https://openalex.org/C71351571","wikidata":"https://www.wikidata.org/wiki/Q7935890","display_name":"Viscous liquid","level":2,"score":0.4409436285495758},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4130944609642029},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3594475984573364},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2954208552837372},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12172549962997437},{"id":"https://openalex.org/C164705383","wikidata":"https://www.wikidata.org/wiki/Q10379","display_name":"Cardiology","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060651562","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060651562","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.134.6339","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.134.6339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.uh.edu/~canic/hemodynamics/SIAPviscoelastic.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8062435946","display_name":"Collaborative Research:    Modeling the Growth and Adhesion of Auricular Chondrocytes Under Controlled Flow Conditions","funder_award_id":"0443826","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320312144","display_name":"Texas Heart Institute","ror":"https://ror.org/00r4vsg44"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W81237534","https://openalex.org/W87350519","https://openalex.org/W151897849","https://openalex.org/W1000939599","https://openalex.org/W1510069988","https://openalex.org/W1519128654","https://openalex.org/W1519218838","https://openalex.org/W1520984243","https://openalex.org/W1547249381","https://openalex.org/W1578299922","https://openalex.org/W1665371634","https://openalex.org/W1936953447","https://openalex.org/W1967073647","https://openalex.org/W1977483582","https://openalex.org/W1992879408","https://openalex.org/W1996764839","https://openalex.org/W2000218130","https://openalex.org/W2000523039","https://openalex.org/W2007185010","https://openalex.org/W2007924064","https://openalex.org/W2012065552","https://openalex.org/W2018756064","https://openalex.org/W2023378365","https://openalex.org/W2025710183","https://openalex.org/W2027624026","https://openalex.org/W2035741864","https://openalex.org/W2042945284","https://openalex.org/W2068248358","https://openalex.org/W2077197181","https://openalex.org/W2079516652","https://openalex.org/W2079966783","https://openalex.org/W2081620920","https://openalex.org/W2089060615","https://openalex.org/W2096775337","https://openalex.org/W2097663931","https://openalex.org/W2143164835","https://openalex.org/W2143192366","https://openalex.org/W2144338700","https://openalex.org/W2151435858","https://openalex.org/W2159644552","https://openalex.org/W2162133926","https://openalex.org/W2166990666","https://openalex.org/W2351271422","https://openalex.org/W2477040106","https://openalex.org/W4237183051"],"related_works":["https://openalex.org/W2082724546","https://openalex.org/W1982466137","https://openalex.org/W2070116989","https://openalex.org/W111119222","https://openalex.org/W4386383647","https://openalex.org/W4385491145","https://openalex.org/W2068076496","https://openalex.org/W1981764441","https://openalex.org/W1998669242","https://openalex.org/W2041942064"],"abstract_inverted_index":{"Fluid\u2010structure":[0],"interaction":[1,125],"describing":[2],"wave":[3,94],"propagation":[4],"in":[5,29,98,165,238,247,291],"arteries":[6],"driven":[7],"by":[8,36,135,149],"the":[9,37,50,53,60,80,87,114,119,145,150,161,166,169,174,185,207,215,219,230,239,248,251,255,265,268,275,279,292,296,313,319,326,332,338,344,348,351,356],"pulsatile":[10],"blood":[11,148],"flow":[12,146,334],"is":[13,62,127,203,214,290],"a":[14,45,76,106,136,175,244,310],"complex":[15],"problem.":[16,322],"Whenever":[17],"possible,":[18],"simplified":[19],"models":[20,25],"are":[21,26,83],"called":[22],"for.":[23],"One\u2010dimensional":[24],"typically":[27,91],"used":[28,158],"arterial":[30,170,221,240,269,283],"sections":[31],"that":[32,111,294],"can":[33],"be":[34,72],"approximated":[35],"cylindrical":[38,140,220],"geometry":[39],"allowing":[40],"axially":[41,209],"symmetric":[42,210],"flows.":[43],"Although":[44],"good":[46],"first":[47],"approximation":[48],"to":[49,71,74,118,159,206,274,317,347],"underlying":[51,231,320],"problem,":[52,211,253],"one\u2010dimensional":[54,299],"model":[55,61,81,110,143,201,224],"suffers":[56],"from":[57,179,190],"several":[58],"drawbacks:":[59],"not":[63,96],"closed":[64,77,108],"(an":[65],"ad":[66],"hoc":[67],"velocity":[68],"profile":[69],"needs":[70],"prescribed":[73],"obtain":[75],"system)":[78],"and":[79,144,188,254,342,355],"equations":[82],"quasi\u2010linear":[84],"hyperbolic":[85],"(oversimplifying":[86],"viscous":[88,115,152,256],"fluid":[89,116,257],"dissipation),":[90],"producing":[92,304],"shock":[93],"solutions":[95],"observed":[97,164],"healthy":[99],"humans.":[100],"In":[101],"this":[102],"manuscript":[103],"we":[104,197],"derived":[105,198],"simple,":[107],"reduced":[109],"accounts":[112],"for":[113,193],"dissipation":[117,258],"leading":[120,276],"order.":[121],"The":[122,285,323],"resulting":[123,286],"fluid\u2010structure":[124],"system":[126],"of":[128,147,168,218,229,250,267,282,298,312,325,350],"hyperbolic\u2010parabolic":[129,321],"type.":[130],"Arterial":[131],"walls":[132],"were":[133,329],"modeled":[134],"novel,":[137],"linearly":[138],"viscoelastic":[139,261],"Koiter":[141],"shell":[142],"incompressible,":[151],"Navier\u2013Stokes":[153],"equations.":[154],"Kelvin\u2013Voigt\u2010type":[155],"viscoelasticity":[156],"was":[157,362],"capture":[160],"hysteresis":[162,280,349],"behavior":[163,281],"measurements":[167,335],"stress\u2010strain":[171],"response.":[172],"Using":[173],"priori":[176],"estimates":[177],"obtained":[178],"an":[180,199,204],"energy":[181],"inequality,":[182],"together":[183],"with":[184,331,343],"asymptotic":[186],"analysis":[187],"ideas":[189],"homogenization":[191],"theory":[192],"porous":[194],"media":[195],"flows,":[196],"effective":[200],"which":[202],"$\\epsilon^2$\u2010approximation":[205,249],"three\u2010dimensional":[208],"where":[212],"\u03b5":[213],"aspect":[216],"ratio":[217],"section.":[222],"Our":[223],"shows":[225],"two":[226],"interesting":[227],"features":[228],"problem:":[232],"bending":[233],"rigidity,":[234],"often":[235],"times":[236],"neglected":[237],"wall":[241],"models,":[242],"plays":[243],"nonnegligible":[245],"role":[246],"original":[252],"imparts":[259],"long\u2010term":[260],"memory":[262],"effects":[263],"on":[264],"motion":[266],"walls.":[270,284],"This":[271],"does":[272],"not,":[273],"order,":[277],"influence":[278],"model,":[287],"although":[288],"two\u2010dimensional,":[289],"form":[293],"allows":[295],"use":[297],"finite":[300],"element":[301],"method":[302],"techniques":[303],"fast":[305],"numerical":[306,327],"solutions.":[307],"We":[308],"devised":[309],"version":[311],"Douglas\u2013Rachford":[314],"time\u2010splitting":[315],"algorithm":[316],"solve":[318],"results":[324],"simulations":[328],"compared":[330],"experimental":[333],"performed":[336],"at":[337],"Texas":[339],"Heart":[340],"Institute,":[341],"data":[345],"corresponding":[346],"human":[352],"femoral":[353],"artery":[354],"canine":[357],"abdominal":[358],"aorta.":[359],"Excellent":[360],"agreement":[361],"observed.":[363]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-26T08:31:28.666265","created_date":"2025-10-10T00:00:00"}