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Addressing Parameter Variability in Corneal Biomechanical Models: A Stepwise Approach for Parameters' Optimization.

José González-Cabrero1,2,3, Carmelo Gómez1,2, Manuel Paredes3

  • 1Department of Structures, Construction and Graphical Expression, Technical University of Cartagena, 30202 Cartagena, Spain.

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|October 28, 2025
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Summary

This study presents a new method to standardize corneal biomechanical models by separately estimating isotropic and anisotropic properties. This improves the reliability of corneal material parameters for ocular disease research and surgical planning.

Keywords:
Holzapfel modelcorneal biomechanicshyperelastic materialinflation testparameters estimation

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Area of Science:

  • Biomedical Engineering
  • Ophthalmology
  • Materials Science

Background:

  • Corneal biomechanical modeling is vital for understanding ocular diseases and surgical outcomes.
  • Existing hyperelastic models for corneal tissue show significant parameter variability in literature.
  • This variability stems from differing optimization methods and experimental test types.

Purpose of the Study:

  • To optimize and calibrate key parameters (c1, c2, k1, k2) of corneal material models.
  • To address parameter variability by proposing a novel stepwise methodology.
  • To improve the standardization and reliability of corneal material parameter estimation.

Main Methods:

  • Utilized the Holzapfel-Gasser-Ogden (HGO) hyperelastic model for corneal tissue.
  • Developed a novel stepwise approach to separately estimate isotropic and anisotropic material components.
  • Applied the methodology to experimental data to overcome issues of multiple parameter sets fitting curves.

Main Results:

  • Successfully calibrated key parameters (c1, c2, k1, k2) of the HGO model.
  • The stepwise method effectively distinguished between isotropic and anisotropic contributions.
  • Demonstrated a more standardized and reliable parameter estimation process.

Conclusions:

  • The proposed methodology enhances the accuracy and consistency of corneal biomechanical models.
  • Standardized models improve understanding of corneal disease progression and surgical treatment optimization.
  • Accurate characterization supports advancements in biomimetics and artificial corneal development.