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A mechanics based analytical model of vitreous motion and vitreous detachment in the human eye when subjected to saccadic movement

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Title
A mechanics based analytical model of vitreous motion and vitreous detachment in the human eye when subjected to saccadic movement
Name (type = personal)
NamePart (type = family)
Pavlou
NamePart (type = given)
Michael J.
NamePart (type = date)
1989-
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Michael J. Pavlou
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author
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Bottega
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William J
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William J Bottega
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Advisory Committee
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chair
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Benaroya
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Haym
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Haym Benaroya
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Advisory Committee
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internal member
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Baruh
NamePart (type = given)
Haim
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Haim Baruh
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Advisory Committee
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internal member
Name (type = personal)
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Fine
NamePart (type = given)
Howard
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Howard Fine
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Advisory Committee
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outside member
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Rutgers University
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degree grantor
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School of Graduate Studies
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school
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theses
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DateCreated (qualifier = exact)
2018
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2018-05
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2018
Place
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xx
Language
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eng
Abstract (type = abstract)
In the human eye, the detachment behavior of the vitreous cortex from the sensory retina is clinically significant as this pathology is highly correlated with rhegmatogenous retinal detachment, a serious eye condition that can result in vision loss. A mechanics based mathematical model for vitreo-retinal detachment in the human eye when subjected to saccadic eye motion is presented in this dissertation. The problem is formulated as a two-dimensional propagating boundary value viscoelasticity problem in the calculus of variations. This formulation yields the governing equations of the vitreous body, boundary conditions, matching conditions and a transversality condition which, in turn, yields the detachment criterion during a saccade. The first part of the dissertation studies a constrained two-dimensional model where only the dominant motion of the vitreous is considered. Closed form analytical solutions of the coupled set of partial differential equations are obtained via modal analysis of a vibrating two-dimensional continuum with non-periodic loading. Results of numerical simulations are presented, ultimately revealing the evolution of the detachment of the vitreo-retinal interface. In the second part of the dissertation, fully two-dimensional motion of the vitreous is considered. A semi-analytical solution is obtained via the Rayleigh-Ritz method in combination with modal analysis. Results are compared to the constrained two-dimensional model, as well as to clinically observed data and previously published experimental and numerical studies. The material properties of the human vitreous are both difficult to study, and change significantly with age and other factors. The effects of these properties on the motion of the vitreous and the detachment behavior of the vitreo-retinal interface are studied. The results of the present study indicate that if a saccade is large enough to cause further detachment of the vitreous from the retina, then the detachment will progress until it reaches a point of abnormal vitreo-retinal adhesion.
Subject (authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject (authority = ETD-LCSH)
Topic
Eye--Physiology
Subject (authority = ETD-LCSH)
Topic
Retina
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Title
Rutgers University Electronic Theses and Dissertations
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ETD_8741
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electronic resource
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application/pdf
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Extent
1 online resource (xii, 108 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = statement of responsibility)
by Michael J. Pavlou
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School of Graduate Studies Electronic Theses and Dissertations
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rucore10001600001
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NjNbRU
Identifier (type = doi)
doi:10.7282/T37H1P03
Genre (authority = ExL-Esploro)
ETD doctoral
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The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Pavlou
GivenName
Michael
MiddleName
J.
Role
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RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2018-04-03 13:11:06
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Name
Michael Pavlou
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Affiliation
Rutgers University. School of Graduate Studies
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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Open
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Permission or license
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2018-04-03T13:09:54
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