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Related Experiment Video

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Building Finite Element Models to Investigate Zebrafish Jaw Biomechanics
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Typical localised element-specific finite element anterior eye model.

Joseph Towler1, Alejandra Consejo2, Dong Zhou3

  • 1Institute of Life Course and Medical Sciences, University of Liverpool, Liverpool, UK.

Heliyon
|April 27, 2023
PubMed
Summary

This study developed an averaged anterior eye geometry model and a localized material model for finite element analysis. These models simplify eye simulations, offering accurate results with reduced computational cost.

Keywords:
Average eyeEye modelIdeal eyeLocalised eyeMathematical model

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Area of Science:

  • Biomedical Engineering
  • Ophthalmic Research
  • Computational Modeling

Background:

  • Accurate finite element (FE) models of the human eye are crucial for understanding ocular biomechanics and developing treatments.
  • Existing models often lack simplicity or are computationally expensive, hindering widespread adoption.

Purpose of the Study:

  • To develop a straightforward and implementable averaged anterior eye geometry model.
  • To create a localized material model for the human eye suitable for FE analysis.
  • To integrate these models for efficient and accurate ocular simulations.

Main Methods:

  • An averaged anterior eye geometry model was constructed using profile data from 118 subjects.
  • A localized, element-specific material model was developed using collagen microstructure data from 6 ex-vivo human eyes.
  • The geometry was parametrically represented using two polynomials, and material properties were derived from X-ray data.

Main Results:

  • The averaged geometry model was defined by two parametric equations, with cornea and posterior sclera fitted to a Zernike polynomial.
  • The localized material model showed significantly different stress distributions (p < 0.001) compared to a ring-segmented model during inflation simulations.
  • The localized model yielded an average Von-Mises stress of 0.0144 ± 0.0025 MPa, compared to 0.0168 ± 0.0046 MPa for the ring-segmented model.

Conclusions:

  • An easily generated averaged geometry model for the anterior human eye was created.
  • A localized material model, usable parametrically or non-parametrically, was developed.
  • Both models are readily implementable in FE analysis with no additional computational cost compared to idealized models.