{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/18557"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/18557","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Modeling and simulation of coronary stents: Intravascular drug delivery and arterial drug distribution","abstract":"In-stent restenosis still occurs in coronary arteries implanted with drug-eluting stents, with the maximum thickness observed at the vascular site of maximum inter-strut angle. This phenomenon may be related to the specific spatiotemporal drug uptake in the arterial wall. In this work local delivery of a hydrophobic drug from a drug-eluting stent implanted in a coronary artery is investigated using a mathematical model that couples drug diffusion and reversible binding in the arterial wall. The model is solved by the finite volume method with varied stent-coating and vascular diffusivities for (i) drug loading at concentrations less than or equal to the solubility, and (ii) high drug loading at concentrations greater than the solubility. Drug release profiles in the coating are observed to depend not only on the coating diffusivity but also on the properties of the surrounding arterial wall. Distinguished dependence on the vascular diffusivity and coating diffusivity of the spatially-averaged drug levels in the wall at quasi-steady state are discussed. Anisotropic drug diffusivities result in similar average drug levels in the arterial wall but very different spatial distributions. Higher circumferential vascular diffusivity results in more uniform drug loading in the upper layers and is potentially beneficial in reducing in-stent restenosis. An analytical expression is derived for determining whether higher free-drug concentration than that of bound-drug can occur in the arterial wall.","abstract_html":"In-stent restenosis still occurs in coronary arteries implanted with drug-eluting stents, with the maximum thickness observed at the vascular site of maximum inter-strut angle. This phenomenon may be related to the specific spatiotemporal drug uptake in the arterial wall. In this work local delivery of a hydrophobic drug from a drug-eluting stent implanted in a coronary artery is investigated using a mathematical model that couples drug diffusion and reversible binding in the arterial wall. The model is solved by the finite volume method with varied stent-coating and vascular diffusivities for (i) drug loading at concentrations less than or equal to the solubility, and (ii) high drug loading at concentrations greater than the solubility. Drug release profiles in the coating are observed to depend not only on the coating diffusivity but also on the properties of the surrounding arterial wall. Distinguished dependence on the vascular diffusivity and coating diffusivity of the spatially-averaged drug levels in the wall at quasi-steady state are discussed. Anisotropic drug diffusivities result in similar average drug levels in the arterial wall but very different spatial distributions. Higher circumferential vascular diffusivity results in more uniform drug loading in the upper layers and is potentially beneficial in reducing in-stent restenosis. An analytical expression is derived for determining whether higher free-drug concentration than that of bound-drug can occur in the arterial wall.","abstract_has_math":false,"creators":["Zhu, Xiaoxiang"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Chemical Engineering","degree_department":null,"school":null,"contributors":["Braatz, Richard D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-21T22:45:57Z","date_published":"2011-01-21T22:45:57Z","updated_at":"2026-07-22T22:25:11Z","subjects":["drug-eluting stents","hydrophobic drug","mathematical modeling","intravascular delivery","restenosis","reversible binding"],"languages":["en"],"rights":["Copyright 2010 Xiaoxiang Zhu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/18557","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Braatz, Richard D."]},{"key":"dc:creator","label":"Author","values":["Zhu, Xiaoxiang"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-01-21T22:45:57Z","2013-01-22T11:00:25Z","2010-12"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Chemical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["drug-eluting stents","hydrophobic drug","mathematical modeling","intravascular delivery","restenosis","reversible binding"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 Xiaoxiang Zhu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/18557"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In-stent restenosis still occurs in coronary arteries implanted with drug-eluting stents, with the maximum thickness observed at the vascular site of maximum inter-strut angle. This phenomenon may be related to the specific spatiotemporal drug uptake in the arterial wall. In this work local delivery of a hydrophobic drug from a drug-eluting stent implanted in a coronary artery is investigated using a mathematical model that couples drug diffusion and reversible binding in the arterial wall. The model is solved by the finite volume method with varied stent-coating and vascular diffusivities for (i) drug loading at concentrations less than or equal to the solubility, and (ii) high drug loading at concentrations greater than the solubility. Drug release profiles in the coating are observed to depend not only on the coating diffusivity but also on the properties of the surrounding arterial wall. Distinguished dependence on the vascular diffusivity and coating diffusivity of the spatially-averaged drug levels in the wall at quasi-steady state are discussed. Anisotropic drug diffusivities result in similar average drug levels in the arterial wall but very different spatial distributions. Higher circumferential vascular diffusivity results in more uniform drug loading in the upper layers and is potentially beneficial in reducing in-stent restenosis. An analytical expression is derived for determining whether higher free-drug concentration than that of bound-drug can occur in the arterial wall.","Item withdrawn by Rebecca Bryant (rabryant@illinois.edu) on 2010-11-30T21:30:01Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Zhu_Xiaoxiang.docx: 1029037 bytes, checksum: 7ae45b7bdb03dd918536a28184754693 (MD5) Zhu_Xiaoxiang.pdf: 911463 bytes, checksum: 9db83d98bad98bbb4251469bd36cd417 (MD5)","Made available in DSpace on 2011-01-21T22:45:57Z (GMT). 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Anisotropic drug diffusivities result in similar average drug levels in the arterial wall but very different spatial distributions. Higher circumferential vascular diffusivity results in more uniform drug loading in the upper layers and is potentially beneficial in reducing in-stent restenosis. An analytical expression is derived for determining whether higher free-drug concentration than that of bound-drug can occur in the arterial wall.","Item withdrawn by Rebecca Bryant (rabryant@illinois.edu) on 2010-11-30T21:30:01Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Zhu_Xiaoxiang.docx: 1029037 bytes, checksum: 7ae45b7bdb03dd918536a28184754693 (MD5) Zhu_Xiaoxiang.pdf: 911463 bytes, checksum: 9db83d98bad98bbb4251469bd36cd417 (MD5)","Made available in DSpace on 2011-01-21T22:45:57Z (GMT). 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