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Abstract
This thesis is concerned with modeling and simulation of the mitral valve, one of the four valves in the human heart. The valve is composed of leaflets attached to a ring, the free edges of which are supported by a system of chordae, which themselves are anchored to muscles inside the heart. First, we examine valve anatomy and show the results of original dissections. These display the gross anatomy and information on fiber structure of the mitral valve. Next, we build a model valve following a design-based approach to elasticity. We incorporate information from the dissections to specify the fiber topology of this model. We assume the valve achieves mechanical equilibrium while supporting a static pressure load. The solution to the resulting differential equations determines the pressurized configuration of the valve model. To complete the model we then specify a constitutive law based on experimental stress-strain relations from the literature. Finally, using the immersed boundary method, we simulate the model valve in fluid in a computer test chamber. The aim of this work is to determine the basic principles and mechanisms underlying the anatomy and function of the mitral valve.
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The supplemental file or files you are about to download were provided to ProQuest by the author as a part of a dissertation or thesis. The supplemental files are provided "AS IS" without any warranty. ProQuest is not responsible for the content, format or impact of the supplemental file(s) on your system. In some cases, the file type may be unknown or may be a .exe file. We recommend caution as you open such files.
Copyright of original materials contained in a supplemental files is retained by the author and your access to the supplemental files is subject to the ProQuest Terms and Conditions of use.
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The supplemental file or files you are about to download were provided to ProQuest by the author as a part of a dissertation or thesis. The supplemental files are provided "AS IS" without any warranty. ProQuest is not responsible for the content, format or impact of the supplemental file(s) on your system. In some cases, the file type may be unknown or may be a .exe file. We recommend caution as you open such files.
Copyright of original materials contained in a supplemental files is retained by the author and your access to the supplemental files is subject to the ProQuest Terms and Conditions of use.
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The supplemental file or files you are about to download were provided to ProQuest by the author as a part of a dissertation or thesis. The supplemental files are provided "AS IS" without any warranty. ProQuest is not responsible for the content, format or impact of the supplemental file(s) on your system. In some cases, the file type may be unknown or may be a .exe file. We recommend caution as you open such files.
Copyright of original materials contained in a supplemental files is retained by the author and your access to the supplemental files is subject to the ProQuest Terms and Conditions of use.
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The supplemental file or files you are about to download were provided to ProQuest by the author as a part of a dissertation or thesis. The supplemental files are provided "AS IS" without any warranty. ProQuest is not responsible for the content, format or impact of the supplemental file(s) on your system. In some cases, the file type may be unknown or may be a .exe file. We recommend caution as you open such files.
Copyright of original materials contained in a supplemental files is retained by the author and your access to the supplemental files is subject to the ProQuest Terms and Conditions of use.
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