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On the evolution of a detaching retina
Descriptive
TitleInfo
Title
On the evolution of a detaching retina
SubTitle
mechanics, mathematical modeling, and analysis
Name
(type = personal)
NamePart
(type = family)
Lakawicz
NamePart
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Joseph M.
NamePart
(type = date)
1988-
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Joseph M. Lakawicz
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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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Baruh
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Haim
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Haim Baruh
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Advisory Committee
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internal member
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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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Fine
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Howard
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Howard Fine
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Advisory Committee
Role
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outside member
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Rutgers University
Role
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(authority = RULIB)
degree grantor
Name
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School of Graduate Studies
Role
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school
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Text
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theses
OriginInfo
DateCreated
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2018
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2018-10
CopyrightDate
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2018
Place
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xx
Language
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(type = code)
eng
Abstract
(type = abstract)
Retinal detachment is an affliction of the eye in which the nine layers of the neurosensory retina detach from the outer layers of the eye along its interface with the retinal pigment epithelium. This dissertation represents a study of the application of mechanics based mathematical modeling to age-related and myopia-induced retinal detachments. A review of the theory of shells of arbitrary shape which provides clarification on the change in curvature of the shell is also presented. A corresponding multi-directional growth law for the propagation of detachments of arbitrary shape is established.
A mechanics based mathematical model for retinal detachment in the emmetropic eye that takes contraction of the vitreous and extension of its fibrils, along with a pressure difference across the retina, as the impetus for detachment propagation is presented. A second mechanics based mathematical model for retinal detachment due to the geometric changes of the eye associated with the evolution of myopia is also developed. The model for myopic retinal detachment includes deformation of the retina due to biological growth of the retina, as well as elastic deformation imposed on the retina by the myopic change in shape of the much stiffer choroid and sclera. The models are formulated as propagating boundary value problems in the calculus of variations. This approach yields the self-consistent governing equilibrium equations, boundary conditions, and transversality conditions that establish the location of the propagating boundaries that correspond to equilibrium configurations of each the detaching ocular systems. Axisymmetric conditions are considered and exact analytical solutions to the corresponding boundary value problems are obtained for detaching retinas with and without a tear. The effects of changes in material and geometric parameters, as well as the influence of the presence and size of the retinal tear, on detachment propagation are also studied.
The emmetropic model predicts that retinal detachment propagates catastrophically, which is in agreement with clinical observations. From application of the emmetropic model presented herein, a value of the bond energy of the retina to retinal pigment epithelium interface is estimated using material properties found in the literature. Simulations based on the analytical solutions for the myopic model of the detaching retina are performed for a detachment in the retina located at either the posterior or superior pole of the eye. The results support the clinical finding of an increased prevalence of retinal detachment in myopic eyes and provide insight into the potential causation for the increased prevalence.
A mechanics based mathematical model for retinal detachment in the emmetropic eye that takes contraction of the vitreous and extension of its fibrils, along with a pressure difference across the retina, as the impetus for detachment propagation is presented. A second mechanics based mathematical model for retinal detachment due to the geometric changes of the eye associated with the evolution of myopia is also developed. The model for myopic retinal detachment includes deformation of the retina due to biological growth of the retina, as well as elastic deformation imposed on the retina by the myopic change in shape of the much stiffer choroid and sclera. The models are formulated as propagating boundary value problems in the calculus of variations. This approach yields the self-consistent governing equilibrium equations, boundary conditions, and transversality conditions that establish the location of the propagating boundaries that correspond to equilibrium configurations of each the detaching ocular systems. Axisymmetric conditions are considered and exact analytical solutions to the corresponding boundary value problems are obtained for detaching retinas with and without a tear. The effects of changes in material and geometric parameters, as well as the influence of the presence and size of the retinal tear, on detachment propagation are also studied.
The emmetropic model predicts that retinal detachment propagates catastrophically, which is in agreement with clinical observations. From application of the emmetropic model presented herein, a value of the bond energy of the retina to retinal pigment epithelium interface is estimated using material properties found in the literature. Simulations based on the analytical solutions for the myopic model of the detaching retina are performed for a detachment in the retina located at either the posterior or superior pole of the eye. The results support the clinical finding of an increased prevalence of retinal detachment in myopic eyes and provide insight into the potential causation for the increased prevalence.
Subject
(authority = RUETD)
Topic
Mechanical and Aerospace Engineering
Subject
(authority = ETD-LCSH)
Topic
Retinal detachment
RelatedItem
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Rutgers University Electronic Theses and Dissertations
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ETD_9223
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electronic resource
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application/pdf
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text/xml
Extent
1 online resource (117 pages) : illustrations
Note
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Ph.D.
Note
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Includes bibliographical references
Note
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by Joseph M. Lakawicz
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School of Graduate Studies Electronic Theses and Dissertations
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rucore10001600001
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NjNbRU
Identifier
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doi:10.7282/t3-m4j0-q947
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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The author owns the copyright to this work.
RightsHolder
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Name
FamilyName
Lakawicz
GivenName
Joseph
Role
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RightsEvent
Type
Permission or license
DateTime
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2018-09-21 18:21:17
AssociatedEntity
Name
Joseph Lakawicz
Role
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Affiliation
Rutgers University. School of Graduate Studies
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License
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Author Agreement License
Detail
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.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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2018-09-21T18:04:24
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2018-09-21T18:04:24
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