Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model

Implementing in silico corneal biomechanical models for surgery applications can be boosted by developing patient-specific finite element models adapted to clinical requirements and optimized to reduce computational times. This research proposes a novel corneal multizone-based finite element model w...

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Main Authors: Carmelo Gómez, David P. Piñero, Manuel Paredes, Jorge L. Alió, Francisco Cavas
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Biomimetics
Subjects:
Online Access:https://www.mdpi.com/2313-7673/9/2/73
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author Carmelo Gómez
David P. Piñero
Manuel Paredes
Jorge L. Alió
Francisco Cavas
author_facet Carmelo Gómez
David P. Piñero
Manuel Paredes
Jorge L. Alió
Francisco Cavas
author_sort Carmelo Gómez
collection DOAJ
description Implementing in silico corneal biomechanical models for surgery applications can be boosted by developing patient-specific finite element models adapted to clinical requirements and optimized to reduce computational times. This research proposes a novel corneal multizone-based finite element model with octants and circumferential zones of clinical interest for material definition. The proposed model was applied to four patient-specific physiological geometries of keratoconus-affected corneas. Free-stress geometries were calculated by two iterative methods, the displacements and prestress methods, and the influence of two boundary conditions: embedded and pivoting. The results showed that the displacements, stress and strain fields differed for the stress-free geometry but were similar and strongly depended on the boundary conditions for the estimated physiological geometry when considering both iterative methods. The comparison between the embedded and pivoting boundary conditions showed bigger differences in the posterior limbus zone, which remained closer in the central zone. The computational calculation times for the stress-free geometries were evaluated. The results revealed that the computational time was prolonged with disease severity, and the displacements method was faster in all the analyzed cases. Computational times can be reduced with multicore parallel calculation, which offers the possibility of applying patient-specific finite element models in clinical applications.
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spelling doaj.art-6b894c8218a44095914434f50ec2f22c2024-02-23T15:09:01ZengMDPI AGBiomimetics2313-76732024-01-01927310.3390/biomimetics9020073Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics ModelCarmelo Gómez0David P. Piñero1Manuel Paredes2Jorge L. Alió3Francisco Cavas4International School of Doctorate, Technical University of Cartagena, 30202 Cartagena, SpainDepartment of Optics, Pharmacology and Anatomy, University of Alicante, 03690 Alicante, SpainICA, Université de Toulouse, UPS, INSA, ISAE-SUPAERO, MINES-ALBI, CNRS, 3 rue Caroline Aigle, 31400 Toulouse, FranceCornea, Cataract and Refractive Surgery Department, VISSUM, 03016 Alicante, SpainDepartment of Structures, Construction and Graphic Expression, Technical University of Cartagena, 30202 Cartagena, SpainImplementing in silico corneal biomechanical models for surgery applications can be boosted by developing patient-specific finite element models adapted to clinical requirements and optimized to reduce computational times. This research proposes a novel corneal multizone-based finite element model with octants and circumferential zones of clinical interest for material definition. The proposed model was applied to four patient-specific physiological geometries of keratoconus-affected corneas. Free-stress geometries were calculated by two iterative methods, the displacements and prestress methods, and the influence of two boundary conditions: embedded and pivoting. The results showed that the displacements, stress and strain fields differed for the stress-free geometry but were similar and strongly depended on the boundary conditions for the estimated physiological geometry when considering both iterative methods. The comparison between the embedded and pivoting boundary conditions showed bigger differences in the posterior limbus zone, which remained closer in the central zone. The computational calculation times for the stress-free geometries were evaluated. The results revealed that the computational time was prolonged with disease severity, and the displacements method was faster in all the analyzed cases. Computational times can be reduced with multicore parallel calculation, which offers the possibility of applying patient-specific finite element models in clinical applications.https://www.mdpi.com/2313-7673/9/2/73multizone corneaconstraints influencepatient-specific modelscomputational timecorneal biomechanics
spellingShingle Carmelo Gómez
David P. Piñero
Manuel Paredes
Jorge L. Alió
Francisco Cavas
Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model
Biomimetics
multizone cornea
constraints influence
patient-specific models
computational time
corneal biomechanics
title Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model
title_full Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model
title_fullStr Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model
title_full_unstemmed Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model
title_short Study of the Influence of Boundary Conditions on Corneal Deformation Based on the Finite Element Method of a Corneal Biomechanics Model
title_sort study of the influence of boundary conditions on corneal deformation based on the finite element method of a corneal biomechanics model
topic multizone cornea
constraints influence
patient-specific models
computational time
corneal biomechanics
url https://www.mdpi.com/2313-7673/9/2/73
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