{"id":"https://openalex.org/W2083258176","doi":"https://doi.org/10.1137/110821688","title":"Asymptotic and Numerical Results for a Model of Solvent-Dependent Drug Diffusion through Polymeric Spheres","display_name":"Asymptotic and Numerical Results for a Model of Solvent-Dependent Drug Diffusion through Polymeric Spheres","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2083258176","doi":"https://doi.org/10.1137/110821688","mag":"2083258176"},"language":"en","primary_location":{"id":"doi:10.1137/110821688","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110821688","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":true,"oa_status":"green","oa_url":"https://eprints.qut.edu.au/43864/4/43864.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029321517","display_name":"Scott W. McCue","orcid":"https://orcid.org/0000-0001-5304-2384"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Scott W. McCue","raw_affiliation_strings":["School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042972392","display_name":"Mike Hsieh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mike Hsieh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078672458","display_name":"Timothy J. Moroney","orcid":"https://orcid.org/0000-0003-4008-1506"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Timothy J. Moroney","raw_affiliation_strings":["School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045023161","display_name":"Mark Nelson","orcid":"https://orcid.org/0000-0002-3964-5928"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]},{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mark I. Nelson","raw_affiliation_strings":["School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia","School of Mathematics and Applied Statistics, University of Wollongong, Wollongong NSW 2522, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, Brisbane QLD 4001, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"School of Mathematics and Applied Statistics, University of Wollongong, Wollongong NSW 2522, Australia","institution_ids":["https://openalex.org/I204824540"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5743,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.82094688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"71","issue":"6","first_page":"2287","last_page":"2311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10721","display_name":"Surfactants and Colloidal Systems","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10721","display_name":"Surfactants and Colloidal Systems","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9927999973297119,"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/work","display_name":"Work (physics)","score":0.6260020732879639},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6050339937210083},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.533894419670105},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5192599296569824},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49159368872642517},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.47283726930618286},{"id":"https://openalex.org/keywords/stefan-problem","display_name":"Stefan problem","score":0.44394057989120483},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4387022852897644},{"id":"https://openalex.org/keywords/polymer","display_name":"Polymer","score":0.4303280711174011},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.41785597801208496},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.41559889912605286},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2518312931060791},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.211812824010849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18076512217521667},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.08455348014831543}],"concepts":[{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.6260020732879639},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6050339937210083},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.533894419670105},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5192599296569824},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49159368872642517},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47283726930618286},{"id":"https://openalex.org/C2778021227","wikidata":"https://www.wikidata.org/wiki/Q3775789","display_name":"Stefan problem","level":3,"score":0.44394057989120483},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4387022852897644},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.4303280711174011},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.41785597801208496},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.41559889912605286},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2518312931060791},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.211812824010849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18076512217521667},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.08455348014831543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/110821688","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110821688","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:eprints.qut.edu.au:43864","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.qut.edu.au/43864/4/43864.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"Contribution to Journal"},{"id":"pmh:oai:ro.uow.edu.au:infopapers-9960","is_oa":false,"landing_page_url":"https://ro.uow.edu.au/infopapers/2624","pdf_url":null,"source":{"id":"https://openalex.org/S4306400510","display_name":"Research Online (University of Wollongong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I204824540","host_organization_name":"University of Wollongong","host_organization_lineage":["https://openalex.org/I204824540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty of Informatics - Papers (Archive)","raw_type":"article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.663.6153","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.663.6153","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.qut.edu.au/43864/4/43864.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:eprints.qut.edu.au:43864","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.qut.edu.au/43864/4/43864.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"Contribution to Journal"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","score":0.6600000262260437,"display_name":"Good health and well-being"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2083258176.pdf"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W28834098","https://openalex.org/W166312633","https://openalex.org/W197368718","https://openalex.org/W321881051","https://openalex.org/W1547442842","https://openalex.org/W1561427600","https://openalex.org/W1591593323","https://openalex.org/W1963568729","https://openalex.org/W1967898170","https://openalex.org/W1968268700","https://openalex.org/W1971949560","https://openalex.org/W1981215463","https://openalex.org/W1983473009","https://openalex.org/W1985436234","https://openalex.org/W1988297408","https://openalex.org/W1994304925","https://openalex.org/W1999180681","https://openalex.org/W1999501080","https://openalex.org/W2021327126","https://openalex.org/W2025790272","https://openalex.org/W2027059366","https://openalex.org/W2030014926","https://openalex.org/W2038027713","https://openalex.org/W2041467324","https://openalex.org/W2049235379","https://openalex.org/W2049621910","https://openalex.org/W2051243927","https://openalex.org/W2052499416","https://openalex.org/W2052650944","https://openalex.org/W2055915830","https://openalex.org/W2060320802","https://openalex.org/W2062310403","https://openalex.org/W2072866494","https://openalex.org/W2074402397","https://openalex.org/W2078615529","https://openalex.org/W2078644288","https://openalex.org/W2090027874","https://openalex.org/W2090756982","https://openalex.org/W2093733686","https://openalex.org/W2094367355","https://openalex.org/W2094794373","https://openalex.org/W2116787028","https://openalex.org/W2117453669","https://openalex.org/W2134824850","https://openalex.org/W2140406000","https://openalex.org/W2145496621","https://openalex.org/W2150265655","https://openalex.org/W2167443657","https://openalex.org/W2171396597","https://openalex.org/W2172226069","https://openalex.org/W2473434964","https://openalex.org/W2562981527","https://openalex.org/W2801179766"],"related_works":["https://openalex.org/W2129671130","https://openalex.org/W2375700760","https://openalex.org/W1985897728","https://openalex.org/W3010886347","https://openalex.org/W3187396029","https://openalex.org/W2189523157","https://openalex.org/W1991265909","https://openalex.org/W2632744097","https://openalex.org/W2948873579","https://openalex.org/W2162100280"],"abstract_inverted_index":{"A":[0],"model":[1,15,105,145],"for":[2,146,156],"drug":[3,9,83,149,161],"diffusion":[4,93],"from":[5,32],"a":[6,33,36,50,58,72,91,117,121,144,147],"spherical":[7],"polymeric":[8],"delivery":[10,150],"device":[11,151],"is":[12,22,47,55,81,152],"considered.":[13],"The":[14,20,39,78],"contains":[16],"two":[17,43],"key":[18],"features.":[19],"first":[21],"that":[23,82,95,136],"solvent":[24],"diffuses":[25,84],"into":[26],"the":[27,42,61,68,87,98,104,113],"polymer,":[28],"which":[29,154],"then":[30],"transitions":[31],"glassy":[34],"to":[35],"rubbery":[37,88],"state.":[38],"interface":[40],"between":[41],"states":[44],"of":[45,71,100,160],"polymer":[46],"modeled":[48],"as":[49],"moving":[51,63],"boundary,":[52],"whose":[53],"speed":[54],"governed":[56],"by":[57,115],"kinetic":[59,76],"law;":[60],"same":[62],"boundary":[64],"problem":[65,74],"arises":[66],"in":[67],"one-phase":[69],"limit":[70],"Stefan":[73],"with":[75,90,120,133],"undercooling.":[77],"second":[79],"feature":[80],"only":[85],"through":[86],"region,":[89],"nonlinear":[92],"coefficient":[94],"depends":[96],"on":[97],"concentration":[99],"solvent.":[101],"We":[102],"analyze":[103],"using":[106],"both":[107],"formal":[108],"asymptotics":[109],"and":[110,129],"numerical":[111],"computation,":[112],"latter":[114],"applying":[116],"front-fixing":[118],"scheme":[119],"finite":[122],"volume":[123],"method.":[124],"Previous":[125],"results":[126],"are":[127,131],"extended":[128],"comparisons":[130],"made":[132],"linear":[134],"models":[135],"work":[137],"well":[138],"under":[139],"certain":[140],"parameter":[141],"regimes.":[142],"Finally,":[143],"multilayered":[148],"suggested,":[153],"allows":[155],"more":[157],"flexible":[158],"control":[159],"release.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
