{"id":"https://openalex.org/W4406037095","doi":"https://doi.org/10.1137/23m1628073","title":"Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion","display_name":"Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion","publication_year":2025,"publication_date":"2025-01-03","ids":{"openalex":"https://openalex.org/W4406037095","doi":"https://doi.org/10.1137/23m1628073","pmid":"https://pubmed.ncbi.nlm.nih.gov/40673046"},"language":"en","primary_location":{"id":"doi:10.1137/23m1628073","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1628073","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12263116/pdf/nihms-2088000.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077761935","display_name":"Lorena Bociu","orcid":"https://orcid.org/0000-0002-0973-8314"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lorena Bociu","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC 27695 USA"],"raw_orcid":"https://orcid.org/0000-0002-0973-8314","affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC 27695 USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115758813","display_name":"Matthew Broussard","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Broussard","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC 27695 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC 27695 USA","institution_ids":["https://openalex.org/I137902535"]}]},{"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/I7947594","display_name":"University of Maine","ror":"https://ror.org/01adr0w49","country_code":"US","type":"education","lineage":["https://openalex.org/I2802397601","https://openalex.org/I7947594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Giovanna Guidoboni","raw_affiliation_strings":["Maine College of Engineering and Computing, University of Maine, Orono, ME 04469 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Maine College of Engineering and Computing, University of Maine, Orono, ME 04469 USA","institution_ids":["https://openalex.org/I7947594"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077745314","display_name":"Sarah Strikwerda","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sarah Strikwerda","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395 USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077761935"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":2.6514,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88140217,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"23","issue":"1","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9883000254631042,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9883000254631042,"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"}},{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9760000109672546,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6257438659667969},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5951984524726868},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5915921330451965},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.581985592842102},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.569892406463623},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5408802628517151},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5249994993209839},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.4978771209716797},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4801623225212097},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4770638048648834},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.4517889618873596},{"id":"https://openalex.org/keywords/circulation","display_name":"Circulation (fluid dynamics)","score":0.43516650795936584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3975948393344879},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37891414761543274},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34373319149017334},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.32340121269226074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.287781298160553},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.22317296266555786},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.21425199508666992},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.16818159818649292},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11506655812263489}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6257438659667969},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5951984524726868},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5915921330451965},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.581985592842102},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.569892406463623},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5408802628517151},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5249994993209839},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.4978771209716797},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4801623225212097},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4770638048648834},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.4517889618873596},{"id":"https://openalex.org/C11111821","wikidata":"https://www.wikidata.org/wiki/Q205880","display_name":"Circulation (fluid dynamics)","level":2,"score":0.43516650795936584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3975948393344879},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37891414761543274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34373319149017334},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.32340121269226074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.287781298160553},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.22317296266555786},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.21425199508666992},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.16818159818649292},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11506655812263489},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/23m1628073","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1628073","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmid:40673046","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40673046","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,"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":"Multiscale modeling & simulation : a SIAM interdisciplinary journal","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:12263116","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12263116/","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12263116/pdf/nihms-2088000.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Model Simul","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:12263116","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12263116/","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12263116/pdf/nihms-2088000.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Model Simul","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1568689909","display_name":null,"funder_award_id":"2108711","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2629972082","display_name":null,"funder_award_id":"R01EY034718","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G339065171","display_name":null,"funder_award_id":"2108711/2327640","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5520599990","display_name":"Collaborative Research: Analysis and Control in Multi-Scale Interface Coupling between Deformable Porous Media and Lumped Hydraulic Circuits","funder_award_id":"2327640","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/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4406037095.pdf"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W34336829","https://openalex.org/W145740987","https://openalex.org/W1914970888","https://openalex.org/W1969693271","https://openalex.org/W1972275726","https://openalex.org/W1988752437","https://openalex.org/W1990024488","https://openalex.org/W1992005524","https://openalex.org/W1993843299","https://openalex.org/W1998926400","https://openalex.org/W2011323118","https://openalex.org/W2013496530","https://openalex.org/W2022099215","https://openalex.org/W2023113817","https://openalex.org/W2026463274","https://openalex.org/W2026590562","https://openalex.org/W2032545903","https://openalex.org/W2041099873","https://openalex.org/W2045645710","https://openalex.org/W2051344642","https://openalex.org/W2052514308","https://openalex.org/W2055072688","https://openalex.org/W2059871513","https://openalex.org/W2063664421","https://openalex.org/W2075954740","https://openalex.org/W2077037485","https://openalex.org/W2079460691","https://openalex.org/W2087906739","https://openalex.org/W2119496526","https://openalex.org/W2130007306","https://openalex.org/W2139599034","https://openalex.org/W2140207819","https://openalex.org/W2143169929","https://openalex.org/W2283958186","https://openalex.org/W2472843403","https://openalex.org/W2538869024","https://openalex.org/W2547938551","https://openalex.org/W2739639768","https://openalex.org/W2763926449","https://openalex.org/W2790805404","https://openalex.org/W2933965138","https://openalex.org/W2954272486","https://openalex.org/W2963597336","https://openalex.org/W2983223559","https://openalex.org/W2990115594","https://openalex.org/W2990359909","https://openalex.org/W2990735490","https://openalex.org/W3001197573","https://openalex.org/W3011147329","https://openalex.org/W3085052452","https://openalex.org/W3088754826","https://openalex.org/W3167155457","https://openalex.org/W3214888291","https://openalex.org/W4220737458","https://openalex.org/W4231017108","https://openalex.org/W4251820791","https://openalex.org/W4283035013","https://openalex.org/W4312791741"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2958348684","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236","https://openalex.org/W4297273858"],"abstract_inverted_index":{"In":[0,20],"biomechanics,":[1],"local":[2,163],"phenomena,":[3],"such":[4],"as":[5],"tissue":[6,35,100],"perfusion,":[7],"are":[8],"strictly":[9],"related":[10],"to":[11,94,116,139],"the":[12,16,56,59,62,108,120,125],"global":[13],"features":[14],"of":[15,34,39,55,58,122,127,149,165],"surrounding":[17,109],"blood":[18],"circulation.":[19],"this":[21,141,168,175],"paper,":[22],"we":[23],"propose":[24],"a":[25,29,50,66,75,84,98],"heterogeneous":[26],"model":[27,54],"where":[28,61],"local,":[30],"accurate,":[31],"3D":[32],"description":[33],"perfusion":[36],"by":[37],"means":[38],"fluid":[40,63],"flows":[41],"through":[42,65,78],"deformable":[43],"porous":[44],"media":[45],"equations":[46],"is":[47,69,137,172],"coupled":[48],"with":[49,74,102,152],"systemic,":[51],"0D,":[52],"lumped":[53],"remainder":[57],"circulation,":[60],"flow":[64],"vascular":[67],"network":[68],"described":[70],"via":[71],"its":[72],"analog":[73],"current":[76],"flowing":[77],"an":[79,89,103],"electric":[80],"circuit.":[81],"This":[82,112],"represents":[83],"multiscale":[85,169],"strategy,":[86],"which":[87],"couples":[88],"initial":[90,104],"boundary":[91],"value":[92,105],"problem":[93,106],"be":[95],"used":[96],"in":[97,107,174],"specific":[99],"region":[101],"circulatory":[110],"system.":[111],"PDE/ODE":[113],"coupling":[114,171],"leads":[115],"interface":[117,142,153,170],"conditions":[118,154],"enforcing":[119],"continuity":[121],"mass":[123],"and":[124,134],"balance":[126],"stresses":[128],"across":[129],"models":[130],"at":[131],"different":[132],"scales,":[133],"careful":[135],"consideration":[136],"taken":[138],"address":[140],"mismatch.":[143],"The":[144],"resulting":[145],"system":[146],"involves":[147],"PDEs":[148],"mixed":[150],"type":[151],"depending":[155],"on":[156,162],"nonlinear":[157],"ODEs.":[158],"A":[159],"new":[160],"result":[161],"existence":[164],"solutions":[166],"for":[167],"provided":[173],"article.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
