Skip to main content
SpringerLink
Log in

Estimating the elastic properties of the eye from differential tonometry by the Schiøtz tonometer: Analysis of the measurement procedure on the basis of a two-component mathematical model

  • Complex Systems Biophysics
  • Published:
Biophysics Aims and scope Submit manuscript

Abstract

The procedure of differential tonometry by the Schiøtz tonometer is modeled using a two-component model of the eyeball in which the cornea is represented by a momentless deformable and linearly elastic surface and the sclera region by an elastic element that responds to changes in intraocular pressure via changes in volume. Numerical calculations showed that the dependence of intraocular pressure on the weight of a cornea- deforming rod (a plunger) is almost linear. This makes it possible to take the slope of its plot (pressure difference coefficient) as a characteristic of the eye. The coefficient is studied as a function of the elastic characteristics of the eye and the pressure in the unloaded eye. An analysis based on the dimensional theory and confirmed by calculations made it possible to conclude that in the first approximation the pressure-difference coefficient depends on the elastic constants through their ratios to the intraocular pressure. A comparison was made with the standard method of processing the data of differential tonometry.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. S. Friedenwald, Am. J. Ophthalmol. 20 (10), 985 (1937).

    Article  Google Scholar 

  2. J. S Friedenwald, Standartization of Tonometers: Decennial Report by the Committee on Standardization of Tonometers (Am. Acad. Ophthalmol. Otolaryngol., 1954).

    Google Scholar 

  3. R. A. Moses, Trans. Am. Ophthalmol. Soc. 69, 494 (1971).

    Google Scholar 

  4. I. G. Pallikaris, G. D. Kymionis, H. S. Ginis, et al., Invest. Ophthalm. Vis. Sci. 46 (2), 409 (2005).

    Article  Google Scholar 

  5. E. N. Iomdina, N. Yu. Danilov, N. A. Ignat’eva, et al., Vestn. Oftal’mol. No. 6, 10 (2011).

    Google Scholar 

  6. I. N. Moiseeva and A. A. Stein, Fluid Dyn. 46 (5), 673 (2011).

    Article  ADS  MathSciNet  Google Scholar 

  7. S. M. Bauer, G. A. Lyubimov, and P. E. Tovstik, Izv. Akad. Nauk, Mekh. Zhidk. Gaza No. 1, 24 (2005).

    Google Scholar 

  8. I. N. Moiseeva and A. A. Stein, Fluid Dyn. 48 (4), 425 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  9. G. A. Lyubinov, I. N. Moiseeva and A. A. Stein, Fluid Dyn. 49 (6), 705 (2014).

    Article  MathSciNet  Google Scholar 

  10. I. N. Moiseeva and A. A. Stein, Russ. J. Biomech. 19 (3), 209 (2015).

    Google Scholar 

  11. A. A. Stein, Fluid Dyn. 45 (2), 177 (2010).

    Article  ADS  Google Scholar 

  12. G. A. Lyubimov, Fluid Dyn. 45 (2), 169 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  13. E. N. Iomdina, G. A. Lyubimov, I. N. Moiseeva, et al., in Proc. VIII All-Russia National Ophthalmological Forum, Ed. by V. V. Neroev, (Aprel’ Moscow, 2015), Vol. 2, pp. 678–687.

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 117899, Russia

    I. N. Moiseeva, A. A. Stein & G. A. Lyubimov

Authors
  1. I. N. Moiseeva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Stein
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. A. Lyubimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to I. N. Moiseeva or A. A. Stein.

Additional information

Original Russian Text © I.N. Moiseeva, A.A. Stein, G.A. Lyubimov, 2016, published in Biofizika, 2016, Vol. 61, No. 6, pp. 1219–1227.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moiseeva, I.N., Stein, A.A. & Lyubimov, G.A. Estimating the elastic properties of the eye from differential tonometry by the Schiøtz tonometer: Analysis of the measurement procedure on the basis of a two-component mathematical model. BIOPHYSICS 61, 1011–1018 (2016). https://doi.org/10.1134/S000635091606018X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S000635091606018X

Keywords

Search

Navigation