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Establishing a Severe Corneal Inflammation Model in Rats Based on Corneal Epithelium Curettage Combined with Corneal Sutures

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Calibrating corneal material model parameters using only inflation data: an ill-posed problem.

S Kok¹, N Botha, H M Inglis

¹Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria, 0002, South Africa.

International Journal for Numerical Methods in Biomedical Engineering

|August 13, 2014

Summary

This summary is machine-generated.

Calibrating corneal material models for intraocular pressure measurement is ill-posed using only inflation data. Multiple loading scenarios, like inflation and bending, are necessary for reliable model parameter determination.

Keywords:

Goldmann applanation tonometry cornea elastic fibre-reinforced constitutive model ill-posed inflation test inverse problem material coefficient calibration

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Area of Science:

Biomechanical engineering
Ophthalmology
Materials science

Background:

Goldmann applanation tonometry (GAT) estimates intraocular pressure (IOP) by measuring corneal resistance.
Finite element method (FEM) modeling is used to study GAT sensitivity to corneal variations.
FEM requires calibrated material models, typically derived from experimental inflation data via inverse problems.

Purpose of the Study:

To investigate the suitability of using only experimental inflation data for calibrating a biomechanically motivated corneal material model.
To determine if the inverse problem of material parameter calibration is well-posed with inflation data alone.

Main Methods:

A biomechanically motivated elastic fibre-reinforced corneal material model was selected.
An inverse problem approach was used to calibrate model parameters from experimental inflation data (chamber pressure vs. apical displacement).

Main Results:

The inverse problem of calibrating the corneal material model using only inflation data was found to be ill-posed.
Small variations in experimental inflation data led to significant differences in calibrated material parameters.
This ambiguity can result in researchers drawing contradictory conclusions about material parameter effects on GAT.

Conclusions:

Reliable calibration of corneal material models necessitates multiple loading scenarios beyond inflation, such as combined inflation and bending.
Current methods relying solely on inflation data are insufficient for accurate material parameter determination in corneal biomechanics.
Future research should incorporate multi-modal experimental data for robust corneal material model calibration.