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Selected Publication:
SHR Neuro Cancer Cardio Lipid Metab Microb
Keeling, SL; Propst, G; Stadler, G; Wackernagel, W.
A mathematical model for the deformation of the eyeball by an elastic band
MATH MED BIOL. 2009; 26(2): 165-185.
Doi: 10.1093/imammb/dqp008
Web of Science
PubMed
FullText
FullText_MUG
- Co-authors Med Uni Graz
- Wackernagel Werner
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- Abstract:
- In a certain kind of eye surgery, the human eyeball is deformed sustainably by the application of an elastic band. This article presents a mathematical model for the mechanics of the combined eye/band structure along with an algorithm to compute the model solutions. These predict the immediate and the lasting indentation of the eyeball. The model is derived from basic physical principles by minimizing a potential energy subject to a volume constraint. Assuming spherical symmetry, this leads to a two-point boundary-value problem for a non-linear second-order ordinary differential equation that describes the minimizing static equilibrium. By comparison with laboratory data, a preliminary validation of the model is given.
- Find related publications in this database (using NLM MeSH Indexing)
- Algorithms -
- Biomechanical Phenomena -
- Computer Simulation -
- Elasticity -
- Eye - pathology
- Humans -
- Models, Biological -
- Pressure -
- Retinal Detachment - prevention & control Retinal Detachment - surgery
- Scleral Buckling - methods
- Stress, Mechanical -
- Find related publications in this database (Keywords)
- mathematical model
- eyeball
- cerclage