Keratoconus, cross-link-induction, comparison between fitting exponential function and a fitting equation obtained by a mathematical model.
With reference to experimental data in the literature, we present a model consisting of two elastic elements, conceived to simulate resistance to stretching, at constant velocity of elongation, of corneal tissue affected by keratoconus, treated with riboflavin and ultraviolet irradiation to induce cross-linking. The function describing model behaviour adapted to stress and strain values. It was found that the Young's moduli of the two elastic elements increased in cross-linked tissues and that cross-linking treatment therefore increased corneal rigidity. It is recognized that this observation is substantially in line with the conclusion reported in the literature, obtained using an exponential fitting function. It is observed, however, that the latter function implies a condition of non-zero stresses without strain, and does not provide interpretative insights for lack of any biomechanical basis. Above all, the function fits a singular trend, inexplicably claimed to be viscoelastic, with surprising perfection. In any case, using the reported data, the study demonstrates that a fitting equation obtained by a modelling approach not only shows the evident efficacy of the treatment, but also provides orientations for studying modifications induced in cross-linked fibres.
Medical Physics, Department of Physics, University of Siena, Siena, Italy. albanesea@unisi.it
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Albanese
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Urso
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Bianciardi
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Rigato
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Battisti
D001696:Biomechanical Phenomena; D003315:Cornea / Q000187:drug effects / Q000502:physiology* / Q000528:radiation effects; D004548:Elasticity; D006801:Humans; D007640:Keratoconus / Q000188:drug therapy* / Q000503:physiopathology; D008962:Models, Theoretical; D017319:Photosensitizing Agents / Q000627:therapeutic use*; D012256:Riboflavin / Q000627:therapeutic use*; D014466:Ultraviolet Rays
D017319:Photosensitizing Agents; D012256:Riboflavin