A Continuum Theory of Multiphase Mixtures for Modelling Biological Growth.
dc.contributor.author | Narayanan, Harish | en_US |
dc.date.accessioned | 2008-01-16T15:13:58Z | |
dc.date.available | 2008-01-16T15:13:58Z | |
dc.date.issued | 2007 | en_US |
dc.date.submitted | 2007 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/57683 | |
dc.description.abstract | This dissertation presents a continuum treatment of growth in biological tissue developed within the context of modern mixture theory. The crux of this work is a careful examination of the assumptions underlying continuum thermodynamics under the condition that multiple interacting species occupy a region of Euclidean space simultaneously. The formal axiomatic treatment presented derives from these assumptions, and provides insight into the sequence of interactions among tissue mechanics, mass transport and biochemical reactions. A computational formulation built upon the theory is used to solve a broad class of numerical examples demonstrating several biophysical aspects of tissue growth. | en_US |
dc.format.extent | 1373 bytes | |
dc.format.extent | 8264428 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | en_US |
dc.subject | Continuum Thermodynamics | en_US |
dc.subject | Mixture Theory | en_US |
dc.subject | Biological Growth | en_US |
dc.subject | Numerical Methods | en_US |
dc.title | A Continuum Theory of Multiphase Mixtures for Modelling Biological Growth. | en_US |
dc.type | Thesis | en_US |
dc.description.thesisdegreename | PhD | en_US |
dc.description.thesisdegreediscipline | Mechanical Engineering and Scientific Computing | en_US |
dc.description.thesisdegreegrantor | University of Michigan, Horace H. Rackham School of Graduate Studies | en_US |
dc.contributor.committeemember | Garikipati, Krishnakumar R. | en_US |
dc.contributor.committeemember | Arruda, Ellen M. | en_US |
dc.contributor.committeemember | Grosh, Karl | en_US |
dc.contributor.committeemember | Jackson, Trachette L. | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/57683/2/hnarayan_1.pdf | en_US |
dc.owningcollname | Dissertations and Theses (Ph.D. and Master's) |
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