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dc.contributor.authorGonzalez Castro, Gabriela*
dc.contributor.authorFitt, A.D.*
dc.contributor.authorSweeney, John*
dc.date.accessioned2016-10-12T15:30:38Z
dc.date.available2016-10-12T15:30:38Z
dc.date.issued2016-03-23
dc.identifier.citationGonzalez Castro G, Fitt AD and Sweeney J (2016) On the Validity of the Imbert-Fick Law: Mathematical Modelling of Eye Pressure Measurement. World Journal of Mechanics. 6: 35-51.en_US
dc.identifier.urihttp://hdl.handle.net/10454/9903
dc.descriptionYesen_US
dc.description.abstractOphthalmologists rely on a device known as the Goldmann applanation tonometer to make intraocular pressure (IOP) measurements. It measures the force required to press a flat disc against the cornea to produce a flattened circular region of known area. The IOP is deduced from this force using the Imbert-Fick principle. However, there is scant analytical justification for this analysis. We present a mathematical model of tonometry to investigate the relationship between the pressure derived by tonometry and the IOP. An elementary equilibrium analysis suggests that there is no physical basis for traditional tonometric analysis. Tonometry is modelled using a hollow spherical shell of solid material enclosing an elastic liquid core, with the shell in tension and the core under pressure. The shell is pressed against a rigid flat plane. The solution is found using finite element analysis. The shell material is anisotropic. Values for its elastic constants are obtained from literature except where data are unavailable, when reasonable limits are explored. The results show that the force measured by the Goldmann tonometer depends on the elastic constant values. The relationship between the IOP and the tonometer readings is complex, showing potentially high levels of inaccuracy that depend on IOP.en_US
dc.language.isoenen_US
dc.rights© 2016 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/en_US
dc.subjectTonometry; Finite Element Analysis; Imbert-Fick Lawen_US
dc.titleOn the Validity of the Imbert-Fick Law: Mathematical Modelling of Eye Pressure Measurementen_US
dc.status.refereedYesen_US
dc.date.Accepted2016-03-20
dc.typeArticleen_US
dc.type.versionpublished version paperen_US
dc.identifier.doihttps://doi.org/10.4236/wjm.2016.63005
refterms.dateFOA2018-07-25T15:39:33Z


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