Titelaufnahme

Titel
A mathematical model for the deformation of the eyeball by an elastic band
Verfasser/ VerfasserinKeeling, Stephen L. ; Propst, Georg ; Stadler, Georg ; Wackernagel, Werner
Erschienen in
Mathematical Medicine and Biology, 2009, Jg. 26, H. 2, S. 165-185
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)mathematical model / eyeball / cerclage
URNurn:nbn:at:at-ubg:3-144 Persistent Identifier (URN)
DOIdoi:10.1093/imammb/dqp008 
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A mathematical model for the deformation of the eyeball by an elastic band [1.81 mb]
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Zusammenfassung (Englisch)

In a certain kind of eye surgery, the human eyeball is deformed sustainably by the applicationof an elastic band. This article presents a mathematical model for the mechanics of the combinedeye/band structure along with an algorithm to compute the model solutions. These predict the immediateand the lasting indentation of the eyeball. The model is derived from basic physical principles byminimizing a potential energy subject to a volume constraint. Assuming spherical symmetries thisleads to a two point boundary value problem for a nonlinear second order ordinary differential equationthat describes the minimizing static equilibrium. By comparison with laboratory data, a preliminaryvalidation of the model is given.

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