Numerical Simulation of Corneal Fibril Reorientation in Response to External Loading

Dong Zhou, Ahmed Abass, Ashkan Eliasy, Alexander Movchan, Natalia Movchan and Ahmed Elsheikh
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Dong Zhou: School of Engineering, University of Liverpool, Liverpool L69 3BX, UK
Ahmed Abass: School of Engineering, University of Liverpool, Liverpool L69 3BX, UK
Ashkan Eliasy: School of Engineering, University of Liverpool, Liverpool L69 3BX, UK
Alexander Movchan: Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK
Natalia Movchan: Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK
Ahmed Elsheikh: School of Engineering, University of Liverpool, Liverpool L69 3BX, UK

IJERPH, 2019, vol. 16, issue 18, 1-16

Abstract: Purpose: To simulate numerically the collagen fibril reorientation observed experimentally in the cornea. Methods: Fibril distribution in corneal strip specimens was monitored using X-ray scattering while under gradually increasing axial loading. The data were analysed at each strain level in order to quantify the changes in the angular distribution of fibrils with strain growth. The resulting relationship between stain and fibril reorientation was adopted in a constitutive model to control the mechanical anisotropy of the tissue material. The outcome of the model was validated against the experimental measurements before using the model in simplified representations of two surgical procedures. Results: The numerical model was able to reproduce the experimental measurements of specimen deformation and fibril reorientation under uniaxial loading with errors below 8.0%. With tissue removal simulated in a full eye numerical model, fibril reorientation could be predicted around the affected area, and this change both increased with larger tissue removal and reduced gradually away from that area. Conclusion: The presented method can successfully simulate fibril reorientation with changes in the strain regime affecting cornea tissue. Analyses based on this method showed that fibrils tend to align parallel to the tissue cut following keratoplasty operations. With the ability to simulate fibril reorientation, numerical modelling can have a greater potential in modelling the behaviour following surgery and injury to the cornea.

Keywords: tissue microstructure; numerical modelling; ocular biomechanics (search for similar items in EconPapers)
JEL-codes: I I1 I3 Q Q5 (search for similar items in EconPapers)
Date: 2019
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