On the behavior of an eye encircled by a scleral buckle
A mechanics based mathematical model for the behavior of an eye encircled by a scleral buckle, a procedure used by surgeons to correct retinal detachment, is developed. Closed form analytical solutions are obtained, and results of numerical simulations based on those solutions are presented. The eff...
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| Veröffentlicht in: | Journal of mathematical biology 2017, Vol.74 (1-2), p.313-332 |
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| container_title | Journal of mathematical biology |
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| creator | Ge, Peinan Bottega, William J. Prenner, Jonathan L. Fine, Howard F. |
| description | A mechanics based mathematical model for the behavior of an eye encircled by a scleral buckle, a procedure used by surgeons to correct retinal detachment, is developed. Closed form analytical solutions are obtained, and results of numerical simulations based on those solutions are presented. The effects of material and geometric parameters of the scleral buckle, as well as of the ocular pressure, on the deformation and volume change of the eye are studied. Critical behavior is identified, and correlations are drawn with regard to the properties of the buckle, the associated deformation of the eye, and the ocular pressure. The results indicate that a judicious choice of the buckle parameters is advisable for planning surgery. In particular, the initial (undeformed) radius of the buckle is seen to have the dominant influence with regard to deformation of the eye, while the thickness (height) and width, and hence the shape, of the buckle are seen to have minimal influence and may be chosen for other reasons, such as to maximize the comfort of the patient. |
| doi_str_mv | 10.1007/s00285-016-1015-3 |
| format | Article |
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Closed form analytical solutions are obtained, and results of numerical simulations based on those solutions are presented. The effects of material and geometric parameters of the scleral buckle, as well as of the ocular pressure, on the deformation and volume change of the eye are studied. Critical behavior is identified, and correlations are drawn with regard to the properties of the buckle, the associated deformation of the eye, and the ocular pressure. The results indicate that a judicious choice of the buckle parameters is advisable for planning surgery. In particular, the initial (undeformed) radius of the buckle is seen to have the dominant influence with regard to deformation of the eye, while the thickness (height) and width, and hence the shape, of the buckle are seen to have minimal influence and may be chosen for other reasons, such as to maximize the comfort of the patient.</description><identifier>ISSN: 0303-6812</identifier><identifier>EISSN: 1432-1416</identifier><identifier>DOI: 10.1007/s00285-016-1015-3</identifier><identifier>PMID: 27230781</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applications of Mathematics ; Humans ; Mathematical and Computational Biology ; Mathematics ; Mathematics and Statistics ; Models, Biological ; Ocular Physiological Phenomena ; Retinal Detachment - surgery ; Scleral Buckling</subject><ispartof>Journal of mathematical biology, 2017, Vol.74 (1-2), p.313-332</ispartof><rights>Springer-Verlag Berlin Heidelberg 2016</rights><rights>Journal of Mathematical Biology is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c372t-36a1b1bf755212039e1c603ea7c0d3a0de091c1687b8ccc388d41444022e6c983</citedby><cites>FETCH-LOGICAL-c372t-36a1b1bf755212039e1c603ea7c0d3a0de091c1687b8ccc388d41444022e6c983</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00285-016-1015-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00285-016-1015-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27230781$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Ge, Peinan</creatorcontrib><creatorcontrib>Bottega, William J.</creatorcontrib><creatorcontrib>Prenner, Jonathan L.</creatorcontrib><creatorcontrib>Fine, Howard F.</creatorcontrib><title>On the behavior of an eye encircled by a scleral buckle</title><title>Journal of mathematical biology</title><addtitle>J. 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| subjects | Applications of Mathematics Humans Mathematical and Computational Biology Mathematics Mathematics and Statistics Models, Biological Ocular Physiological Phenomena Retinal Detachment - surgery Scleral Buckling |
| title | On the behavior of an eye encircled by a scleral buckle |
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