{"id":"https://openalex.org/W2139703069","doi":"https://doi.org/10.1137/130930674","title":"A 3D Model for Mechanistic Control of Drug Release","display_name":"A 3D Model for Mechanistic Control of Drug Release","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2139703069","doi":"https://doi.org/10.1137/130930674","mag":"2139703069"},"language":"en","primary_location":{"id":"doi:10.1137/130930674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130930674","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":"http://hdl.handle.net/10316/44674","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065188502","display_name":"J.A. Ferreira","orcid":"https://orcid.org/0000-0002-5226-2905"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]},{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT","PT"],"is_corresponding":true,"raw_author_name":"J. A. Ferreira","raw_affiliation_strings":["Department of Engineering and Architecture, Trieste University via Alfonso Valerio 6/A, Trieste, I-34127, Italy","CMUC, Department of Mathematics, University of Coimbra 3001-454 Coimbra, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, Trieste University via Alfonso Valerio 6/A, Trieste, I-34127, Italy","institution_ids":["https://openalex.org/I142444530"]},{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra 3001-454 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048817122","display_name":"Mario Grassi","orcid":"https://orcid.org/0000-0002-3532-3200"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Grassi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029791491","display_name":"E. Gudi\u00f1o","orcid":"https://orcid.org/0000-0003-1464-8302"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]},{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT","PT"],"is_corresponding":false,"raw_author_name":"E. Gudin\u0342o","raw_affiliation_strings":["Department of Engineering and Architecture, Trieste University via Alfonso Valerio 6/A, Trieste, I-34127, Italy","CMUC, Department of Mathematics, University of Coimbra 3001-454 Coimbra, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, Trieste University via Alfonso Valerio 6/A, Trieste, I-34127, Italy","institution_ids":["https://openalex.org/I142444530"]},{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra 3001-454 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085592045","display_name":"Paula de Oliveira","orcid":"https://orcid.org/0000-0001-6634-6651"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["IT","PT"],"is_corresponding":false,"raw_author_name":"Paula de Oliveira","raw_affiliation_strings":["Department of Engineering and Architecture, Trieste University via Alfonso Valerio 6/A, Trieste, I-34127, Italy","CMUC, Department of Mathematics, University of Coimbra 3001-454 Coimbra, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering and Architecture, Trieste University via Alfonso Valerio 6/A, Trieste, I-34127, Italy","institution_ids":["https://openalex.org/I142444530"]},{"raw_affiliation_string":"CMUC, Department of Mathematics, University of Coimbra 3001-454 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065188502"],"corresponding_institution_ids":["https://openalex.org/I142444530","https://openalex.org/I76903346"],"apc_list":null,"apc_paid":null,"fwci":2.1342,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.87682692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"74","issue":"3","first_page":"620","last_page":"633"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11124","display_name":"Protein purification and stability","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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"}},"topics":[{"id":"https://openalex.org/T11124","display_name":"Protein purification and stability","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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/T10343","display_name":"Hydrogels: synthesis, properties, applications","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1313","display_name":"Molecular Medicine"},"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/T10412","display_name":"Microfluidic and Capillary Electrophoresis Applications","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/penetrant","display_name":"Penetrant (biochemical)","score":0.7770596742630005},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5875824093818665},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5523192286491394},{"id":"https://openalex.org/keywords/ficks-laws-of-diffusion","display_name":"Fick's laws of diffusion","score":0.5476258993148804},{"id":"https://openalex.org/keywords/sorption","display_name":"Sorption","score":0.49889373779296875},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.49860286712646484},{"id":"https://openalex.org/keywords/swelling","display_name":"Swelling","score":0.4912049174308777},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.48395565152168274},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.4424748718738556},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.43623995780944824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3593299388885498},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.356905996799469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30304592847824097},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.28675931692123413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24513176083564758},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.20275810360908508},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.15277323126792908}],"concepts":[{"id":"https://openalex.org/C2779335537","wikidata":"https://www.wikidata.org/wiki/Q7162617","display_name":"Penetrant (biochemical)","level":2,"score":0.7770596742630005},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5875824093818665},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5523192286491394},{"id":"https://openalex.org/C53403541","wikidata":"https://www.wikidata.org/wiki/Q856634","display_name":"Fick's laws of diffusion","level":3,"score":0.5476258993148804},{"id":"https://openalex.org/C58445606","wikidata":"https://www.wikidata.org/wiki/Q898533","display_name":"Sorption","level":3,"score":0.49889373779296875},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49860286712646484},{"id":"https://openalex.org/C2778540859","wikidata":"https://www.wikidata.org/wiki/Q152234","display_name":"Swelling","level":2,"score":0.4912049174308777},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.48395565152168274},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4424748718738556},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.43623995780944824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3593299388885498},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.356905996799469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30304592847824097},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.28675931692123413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24513176083564758},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.20275810360908508},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.15277323126792908},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C150394285","wikidata":"https://www.wikidata.org/wiki/Q180254","display_name":"Adsorption","level":2,"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":3,"locations":[{"id":"doi:10.1137/130930674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130930674","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:estudogeral.sib.uc.pt:10316/44674","is_oa":true,"landing_page_url":"http://hdl.handle.net/10316/44674","pdf_url":"http://hdl.handle.net/10316/44674","source":{"id":"https://openalex.org/S4306401208","display_name":"Estudo Geral (Universidade de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802025818","host_organization_name":"Hospitais da Universidade de Coimbra","host_organization_lineage":["https://openalex.org/I2802025818"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:arts.units.it:11368/2808931","is_oa":false,"landing_page_url":"http://hdl.handle.net/11368/2808931","pdf_url":null,"source":{"id":"https://openalex.org/S4306402362","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:estudogeral.sib.uc.pt:10316/44674","is_oa":true,"landing_page_url":"http://hdl.handle.net/10316/44674","pdf_url":"http://hdl.handle.net/10316/44674","source":{"id":"https://openalex.org/S4306401208","display_name":"Estudo Geral (Universidade de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802025818","host_organization_name":"Hospitais da Universidade de Coimbra","host_organization_lineage":["https://openalex.org/I2802025818"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G1167214205","display_name":null,"funder_award_id":"COMPETE","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1578237752","display_name":null,"funder_award_id":"COMPETE","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G5075711477","display_name":null,"funder_award_id":"PEst-C/MAT/UI0324/2011","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G673683591","display_name":null,"funder_award_id":"PEst-C/MAT/UI0324/2011","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G706617069","display_name":null,"funder_award_id":"UTAustin/MAT/0066/2008","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8114687558","display_name":null,"funder_award_id":"PEst-C/MAT/UI0324/2011","funder_id":"https://openalex.org/F4320323392","funder_display_name":"Universidade de Coimbra"}],"funders":[{"id":"https://openalex.org/F4320323392","display_name":"Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320335246","display_name":"Centro de Matem\u00e1tica, Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2139703069.pdf","grobid_xml":"https://content.openalex.org/works/W2139703069.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W6986518","https://openalex.org/W1486093947","https://openalex.org/W1547442842","https://openalex.org/W1601889424","https://openalex.org/W1607100273","https://openalex.org/W1997381242","https://openalex.org/W1999501080","https://openalex.org/W1999723804","https://openalex.org/W2020333945","https://openalex.org/W2033200890","https://openalex.org/W2037091304","https://openalex.org/W2042188942","https://openalex.org/W2045781645","https://openalex.org/W2046472897","https://openalex.org/W2047378168","https://openalex.org/W2048640035","https://openalex.org/W2066844601","https://openalex.org/W2073472807","https://openalex.org/W2086310715","https://openalex.org/W2087973716","https://openalex.org/W2092630430","https://openalex.org/W2116181654","https://openalex.org/W2142834647","https://openalex.org/W2144133592","https://openalex.org/W2154860513","https://openalex.org/W2166295771","https://openalex.org/W2504888556"],"related_works":["https://openalex.org/W2491061780","https://openalex.org/W97740700","https://openalex.org/W1984120133","https://openalex.org/W2088618167","https://openalex.org/W2099662735","https://openalex.org/W2473875644","https://openalex.org/W2094739479","https://openalex.org/W1993741352","https://openalex.org/W2056180017","https://openalex.org/W2035535875"],"abstract_inverted_index":{"A":[0,60],"three-dimensional":[1],"mathematical":[2],"model":[3,17],"for":[4],"sorption/desorption":[5],"by":[6],"a":[7,21,32,42,47,51,56,75,79,83,95],"cylindrical":[8],"polymeric":[9],"matrix":[10,44],"with":[11,28,78],"dispersed":[12],"drug":[13,98],"is":[14,18,70],"proposed.":[15],"The":[16],"based":[19],"on":[20],"system":[22],"of":[23],"partial":[24],"differential":[25],"equations":[26],"coupled":[27],"boundary":[29],"conditions":[30],"over":[31],"moving":[33],"boundary.":[34],"We":[35],"assume":[36],"that":[37],"the":[38,90],"penetrant":[39,68],"diffuses":[40],"into":[41],"swelling":[43],"and":[45,54,67,72],"causes":[46],"deformation,":[48],"which":[49],"induces":[50],"stress-driven":[52],"diffusion":[53],"consequently":[55],"non-Fickian":[57],"mass":[58],"flux.":[59],"physically":[61],"sound":[62],"nonlinear":[63],"dependence":[64],"between":[65],"strain":[66],"concentration":[69],"considered":[71],"introduced":[73],"in":[74,97],"Boltzmann":[76],"integral":[77],"kernel":[80],"computed":[81],"from":[82],"Maxwell--Wiechert":[84],"model.":[85],"Numerical":[86],"simulations":[87],"show":[88],"how":[89],"mechanistic":[91],"behavior":[92],"can":[93],"have":[94],"role":[96],"delivery":[99],"design.":[100]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}