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A Mathematical Model for Tonometry

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Progress in Industrial Mathematics at ECMI 2002

Part of the book series: The European Consortium for Mathematics in Industry ((TECMI,volume 5))

Summary

A mathematical model which describes the functioning of a Goldmann-type applanation tonometer is proposed in order to verify the validity of the Imbert-Fick principle. The spherical axisymmetric elastic equilibrium equations are solved using a Love Stress function. Conclusions are drawn regarding the circumstances under which the Imbert-Fick principle may or may not be valid.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematical Studies, University of Southampton, Southampton, SO17 IBJ, UK

    G. González & A. D. Fitt

Authors
  1. G. González
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  2. A. D. Fitt
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Editor information

Editors and Affiliations

  1. Latvia Science and Dialogue Centre, University of Latvia, Laukums Akademijas 1/1, 1524, Riga, Latvia

    Andris Buikis

  2. Vilnius Gediminas, Technical University, Akademijas lauk. 1, 2054, Vilnius, Lithuania

    Raimondas Čiegis

  3. Faculty of Mathematical Studies, University Southampton, SO17 1BJ, Southampton, UK

    Alistair D. Fitt

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© 2004 Springer-Verlag Berlin Heidelberg

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González, G., Fitt, A.D. (2004). A Mathematical Model for Tonometry. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_37

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  • DOI: https://doi.org/10.1007/978-3-662-09510-2_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07262-8

  • Online ISBN: 978-3-662-09510-2

  • eBook Packages: Springer Book Archive

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