Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye

Paper


Bauer, S. M., Ermakov, A. M., Kotliar, K. E. and Voronkova, E. B.. 2010. "Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye." 2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010). Fort Lauderdale, United States of America 02 - 06 May 2010 Association for Research in Vision and Ophthalmology (ARVO).
Paper/Presentation Title

Biomechanical analysis of parameters influencing pressure-volume relationship in the human eye

Presentation TypePaper
AuthorsBauer, S. M. (Author), Ermakov, A. M. (Author), Kotliar, K. E. (Author) and Voronkova, E. B. (Author)
Journal or Proceedings TitleInvestigative Ophthalmology and Visual Science
Journal Citation51 (13)
Number of Pages1
Year2010
PublisherAssociation for Research in Vision and Ophthalmology (ARVO)
ISSN0146-0404
1552-5783
Web Address (URL) of Paperhttp://iovs.arvojournals.org/article.aspx?articleid=2374159&resultClick=1
Conference/Event2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010)
Event Details
2010 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2010)
Event Date
02 to end of 06 May 2010
Event Location
Fort Lauderdale, United States of America
Abstract

Purpose: To study the effects of different mechanical properties of the sclera and the cornea, such as their anisotropy, non-uniformity, and deflections in their spherical shapes on pressure-volume relationship.

Methods: Correlations between the intraocular pressure (IOP) and the intraocular volume (IOV) were found for spherical and ellipsoidal orthotropic layers by means of 3D-theory of elasticity. Subsequently, the corneoscleral shell of the eye was modeled as a conjugated shell consisting of two segments. The sclera and the cornea are generally assumed to be the parts of the orthotropic elliptic shells with different geometrical and mechanical properties. Relationship between IOP and IOV was obtained for three mechanical models with following problem statements: 1) sclera and cornea are assumed to be soft shells; 2) sclera and cornea are supposedto be orthotropic shells with small modules of elasticity in the thickness direction; for this model calculations were made due to applied shell theory by Chernykh; 3) sclera and cornea are modeled as 3D elastic solids with FEM/ANSYS (ANSYS, Inc.,Canonsburg, PA). The calculations were performed for different sets of parameters for all three mechanical models and were compared to clinical data.

Results: Transversal isotropic shells of revolution of different shapes (modelling the sclera) with equal initial volumes showed linear pressure-volume relationship, while proportionality factor (K) is minimal for a spherical shell (emmetropic eye).If the ratio of the axial length (AL) and the equatorial diameter of the shell (D) increases (the case of a shell modelling a myopic eye), then factor K increases up to 5-10%. If the ratio AL/D decreases (for a shell modelling a hyperopic eye), then factorK starkly increases up to 100%. The same effect was observed for the 2-segments model.

Conclusions: Both the orthotropic properties of the sclera (the ratio of two tangential modules of elasticity) and the non-uniformity of the sclera have a significant effect on the character of the pressure-volume relationship and, thus, on the rigidity of the human eye. Geometric and elastic properties of the cornea also affect the relationship, although to the less extent.

Keywordscomputational modeling, intraocular pressure, sclera
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
420701. Biomechanics
401707. Solid mechanics
Public Notes

Abstract only published - deposited in accordance with the copyright policy of the publisher.

Byline AffiliationsSaint Petersburg State University, Russia
Institution of OriginUniversity of Southern Queensland
Permalink -

https://research.usq.edu.au/item/q3q1y/biomechanical-analysis-of-parameters-influencing-pressure-volume-relationship-in-the-human-eye

Download files


Published Version
ARVO 2010.pdf
File access level: Anyone

  • 1562
    total views
  • 53
    total downloads
  • 1
    views this month
  • 1
    downloads this month

Export as

Related outputs

Development of rigorous methods in fluid mechanics and theory of water waves
Ermakov, Andrei. 2019. Development of rigorous methods in fluid mechanics and theory of water waves. PhD Thesis Doctor of Philosophy. University of Southern Queensland. https://doi.org/10.26192/ez1n-g463
Transformation of Long Surface and Tsunami-Like Waves in the Ocean with a Variable Bathymetry
Ermakov, Andrei and Stepanyants, Yury. 2020. "Transformation of Long Surface and Tsunami-Like Waves in the Ocean with a Variable Bathymetry." Pure and Applied Geophysics. 177 (3), pp. 1675-1693. https://doi.org/10.1007/s00024-019-02259-4
Soliton interaction with external forcing within the Korteweg–de Vries equation
Ermakov, Andrei and Stepanyants, Yury. 2019. "Soliton interaction with external forcing within the Korteweg–de Vries equation." Chaos: an interdisciplinary journal of nonlinear science. 29 (1). https://doi.org/10.1063/1.5063561
Local stability of a plate with a circular inclusion under tensile stress
Bauer, Svetlana, Ermakov, Andrei, Kashtanova, Stanislava and Morozov, Nikita. 2018. "Local stability of a plate with a circular inclusion under tensile stress." Pietraszkiewicz, Wojciech and Witkowski, Wojciech (ed.) Shell structures: theory and applications, vol. 4. London, United Kingdom. CRC Press. pp. 199-202
Wave scattering in spatially inhomogeneous currents
Churilov, Semyon, Ermakov, Andrei and Stepanyants, Yury. 2017. "Wave scattering in spatially inhomogeneous currents." Physical Review D. 96 (6), p. 064016. https://doi.org/10.1103/PhysRevD.96.064016
Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current
Churilov, Semyon, Ermakov, Andrei, Rousseaux, Germain and Stepanyants, Yury. 2017. "Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current." Physcial Review Fluids. 2 (9), p. 094805. https://doi.org/10.1103/PhysRevFluids.2.094805
Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base
Ermakov, A. M.. 2013. "Stress-strained state and the stability of a spherical segment under the influence of a load with a flat base." Logg, Anders, Mardal, Kent-Andre and Massing, Andre (ed.) 26th Nordic Seminar on Computational Mechanics. Oslo, Norway 23 - 25 Oct 2013 Oslo, Norway.
On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells
Ermakov, A. M.. 2012. "On the stability of the cylindrical shell under the axial compression with use of non-classical theories of shells." Holzapfel, Gerhard (ed.) 8th European Solid Mechanics Conference (ESMC-2012) . Graz, Austria 09 - 13 Jul 2012 Graz, Austria.
Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells
Ermakov, A. M.. 2008. "Stress--strain state of the sclera and cornea as orthotropic non-uniform conjugated spherical shells." Russian Journal of Biomechanics. 13 (1), pp. 47-58.
Tonometric estimation of mechanical properties of a cornea and sclera
Voronkova, E., Bauer, S. and Ermakov, A.. 2009. "Tonometric estimation of mechanical properties of a cornea and sclera." 2009 Association for Research in Vision and Ophthalmology Annual Meeting (ARVO 2009). Fort Lauderdale, United States of America 03 - 07 May 2009 United States. Association for Research in Vision and Ophthalmology (ARVO).
The models of nonclassical anisotropic spherical shells
Ermakov, A.. 2012. "The models of nonclassical anisotropic spherical shells." Pecherski, Ryszard, Rojek, Jerzy and Kowalczyk, Piotr (ed.) 38th Solid Mechanics Conference. Warsaw, Poland 27 - 31 Aug 2012 Warsaw, Poland.
Buckling of a spherical segment under the flat base load
Bauer, Svetlana and Ermakov, Andrei. 2013. "Buckling of a spherical segment under the flat base load." Lellep, J. and Puman, E. (ed.) 2nd International Conference on Optimization and Analysis of Structures (OAS 2013). Tartu, Estonia 25 - 27 Aug 2013 Tartu, Estonia.
Description of vortical flows of incompressible fluid in terms of quasi-potential function
Ermakov, A. M. and Stepanyants, Y. A.. 2016. "Description of vortical flows of incompressible fluid in terms of quasi-potential function." 20th Australasian Fluid Mechanics Conference (AFMC 2016). Perth, Australia 05 - 08 Dec 2016 Australia.
Mathematical modelling of applanation tonometry for intraocular pressure measurements
Ermakov, Andrei M. and Bauer, Svetlana M.. 2016. "Mathematical modelling of applanation tonometry for intraocular pressure measurements." 55th ASMR National Scientific Conference: Next Generation Healthcare - Merging Biology and Technology . Gold Coast, Australia 13 - 15 Nov 2016
Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes
Bauer, S. M., Ermakov, A. M., Kashtanova, S. V. and Morozov, N. F.. 2011. "Application of nonclassical models of shell theory to study mechanical parameters of multilayer nanotubes." Vestnik: Mathematics (St. Petersburg University). 44 (1), p. Article 13. https://doi.org/10.3103/S1063454111010055
Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Evaluation of the mechanical parameters of nanotubes by means of nonclassical theories of shells." Altenbach, Holm and Eremeyev, Victor A. (ed.) Shell-like structures. Heidelberg, Germany. Springer. pp. 519-530
Nonclassical models in the shell theory with applications to multilayered nanotubes
Bauer, Svetlana M., Ermakov, Andrei M., Kashtanova, Stanislava V. and Morozov, Nikita F.. 2011. "Nonclassical models in the shell theory with applications to multilayered nanotubes." Papadrakakis, Manolis, Fragiadakis, Michalis and Plevris, Vagelis (ed.) 3rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011). Corfu, Greece 25 - 28 May 2011 Dordrecht, Netherlands. https://doi.org/10.1007/978-94-007-6573-3
Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells
Ermakov, Andrei M.. 2013. "Numerical and analytical modeling of the stability of the cylindrical shell under the axial compression with the use of the non-classical theories of shells." Lecture Notes in Computer Science (Book series). 8236, pp. 279-286. https://doi.org/10.1007/978-3-642-41515-9_30