New mathematical models of inert gas transport through biological tissue in hyperbaric environments

Simple item page
dc.contributor.advisorBrundrit, Geoffen_ZA
dc.contributor.advisorVan Zyl, J J Wen_ZA
dc.contributor.authorHennessy, Thomas Richarden_ZA
dc.date.accessioned2016-03-14T07:03:52Z
dc.date.available2016-03-14T07:03:52Z
dc.date.issued1973en_ZA
dc.description.abstractThe thesis is concerned with a fundamental mathematical analysis of inert gas transport through biological tissue at a raised ambient partial pressure. Three basic time-scales of transport in tissue are defined and their relationship examined and compared with existing models, which e.re shown to be usually inadequate in one or more ways. As a result three new mathematical models are proposed and solved both asymptotically and numerically. The first is applied to experimental data for non-perfused tissue which yields an improved value of the intracellular diffusion coefficient for nitrogen. An expression is also derived which should be useful in evaluating this constant and the volume fraction of extracellular fluid. The second embraces a number of current models and is applicable to perfused tissue. It should be useful in interpreting inert gas uptake curves. The model is applied to experimental data, and a source of possible error is discovered in using experimental non-asymptotic time constants. The third is a model which claims to resolve the controversy between the diffusion and perfusion theories of gas transport in tissue. The result is that in the large, diffusion is more important than perfusion, except in muscle tissue where they interact. Three different methods of numerical inversion of the Laplace Transform are compared and one is shown to be the most useful for solving gas uptake problems. The main result of the thesis is a contribution to the establishment of a mathematical basis for gas transport in various situations in the biological sphere.en_ZA
dc.identifier.apacitationHennessy, T. R. (1973). <i>New mathematical models of inert gas transport through biological tissue in hyperbaric environments</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/17678en_ZA
dc.identifier.chicagocitationHennessy, Thomas Richard. <i>"New mathematical models of inert gas transport through biological tissue in hyperbaric environments."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1973. http://hdl.handle.net/11427/17678en_ZA
dc.identifier.citationHennessy, T. 1973. New mathematical models of inert gas transport through biological tissue in hyperbaric environments. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Hennessy, Thomas Richard AB - The thesis is concerned with a fundamental mathematical analysis of inert gas transport through biological tissue at a raised ambient partial pressure. Three basic time-scales of transport in tissue are defined and their relationship examined and compared with existing models, which e.re shown to be usually inadequate in one or more ways. As a result three new mathematical models are proposed and solved both asymptotically and numerically. The first is applied to experimental data for non-perfused tissue which yields an improved value of the intracellular diffusion coefficient for nitrogen. An expression is also derived which should be useful in evaluating this constant and the volume fraction of extracellular fluid. The second embraces a number of current models and is applicable to perfused tissue. It should be useful in interpreting inert gas uptake curves. The model is applied to experimental data, and a source of possible error is discovered in using experimental non-asymptotic time constants. The third is a model which claims to resolve the controversy between the diffusion and perfusion theories of gas transport in tissue. The result is that in the large, diffusion is more important than perfusion, except in muscle tissue where they interact. Three different methods of numerical inversion of the Laplace Transform are compared and one is shown to be the most useful for solving gas uptake problems. The main result of the thesis is a contribution to the establishment of a mathematical basis for gas transport in various situations in the biological sphere. DA - 1973 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1973 T1 - New mathematical models of inert gas transport through biological tissue in hyperbaric environments TI - New mathematical models of inert gas transport through biological tissue in hyperbaric environments UR - http://hdl.handle.net/11427/17678 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17678
dc.identifier.vancouvercitationHennessy TR. New mathematical models of inert gas transport through biological tissue in hyperbaric environments. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1973 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17678en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematicsen_ZA
dc.titleNew mathematical models of inert gas transport through biological tissue in hyperbaric environmentsen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
thesis_sci_1973_hennessy_thomas_richard.pdf
Size:
2.65 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
PhD / Doctoral