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dc.contributor.advisorPfeifer, Peter, 1946-eng
dc.contributor.authorMayo, Michael Louis, 1979-eng
dc.date.issued2009eng
dc.date.submitted2009 Summereng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on Feb 26, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Peter Pfeifer.eng
dc.descriptionVita.eng
dc.descriptionPh.D. University of Missouri--Columbia 2009.eng
dc.description.abstractThe acinar airways lie at the periphery of the human lung and are responsible for the transfer of oxygen from air to the blood during respiration. This transfer occurs by the diffusion-reaction of oxygen over the irregular surface of the alveolar membranes lining the acinar airways. We present an exactly solvable diffusion-reaction model on a hierarchically branched tree, allowing a quantitative prediction of both the pulmonary efficiency of the human lung and the oxygen current reaching the blood within the pulmonary arteries, over the entire system of acinar airways responsible for the gas exchange. Our model predicts that the oxygen current is insensitive to changes in the permeability of the alveolar membranes, over a wide range of permeabilities. Such fault tolerance has been observed in other treatments of the gas exchange in the human lung and is obtained here as a fully analytical result.eng
dc.description.bibrefIncludes bibliographical referenceseng
dc.format.extentxi, 138 pageseng
dc.identifier.oclc607546656eng
dc.identifier.urihttps://hdl.handle.net/10355/7025
dc.identifier.urihttps://doi.org/10.32469/10355/7025eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.subject.lcshReaction-diffusion equationseng
dc.subject.lcshPulmonary gas exchangeeng
dc.subject.lcshOxygen -- Physiological transport -- Mathematical modelseng
dc.titleHierarchical model of gas exchange within the acinar airways of the human lungeng
dc.typeThesiseng
thesis.degree.disciplinePhysics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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