Typical localised element-specific finite element anterior eye model

被引:0
|
作者
Towler, Joseph [1 ]
Consejo, Alejandra [2 ]
Zhou, Dong [3 ]
Romano, Vito [1 ,4 ]
Levis, Hannah [1 ]
Boote, Craig [5 ]
Elsheikh, Ahmed [3 ,6 ,7 ,8 ]
Geraghty, Brendan [1 ]
Abass, Ahmed [9 ,10 ,11 ]
机构
[1] Univ Liverpool, Inst Life Course & Med Sci, Liverpool, England
[2] Univ Zaragoza, Appl Phys Dept, Zaragoza, Spain
[3] Univ Liverpool, Sch Engn, Dept Civil Engn & Ind Design, Liverpool, England
[4] Univ Brescia, Dept Med & Surg Special, Ophthalmol Clin, Radiol Sci & Public Hlth, Brescia, Italy
[5] Cardiff Univ, Sch Optometry & Vis Sci, Cardiff, Wales
[6] Beihang Univ, Beijing Adv Innovat Ctr Biomed Engn, Beijing, Peoples R China
[7] Moorfields Eye Hosp NHS Fdn Trust, NIHR Biomed Res Ctr Ophthalmol, London, England
[8] UCL Inst Ophthalmol, London, England
[9] Univ Liverpool, Sch Engn, Dept Mech Mat & Aerosp Engn, Liverpool, England
[10] Port Said Univ, Fac Engn, Dept Prod Engn & Mech Design, Port Fuad, Egypt
[11] Univ Liverpool, Sch Engn, Liverpool L69 3GH, England
关键词
Eye model; Localised eye; Ideal eye; Average eye; Mathematical model; PERIPHERAL CORNEAL THICKNESS; BIOMECHANICAL PROPERTIES; PHOTOREFRACTIVE KERATECTOMY; REGIONAL-VARIATION; POSTERIOR SURFACE; SCLERAL THICKNESS; ASPHERICITY; SHAPE; TOPOGRAPHY; COLLAGEN;
D O I
10.1016/j.heliyon.2023.e13944
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Purpose: The study presents an averaged anterior eye geometry model combined with a localised material model that is straightforward, appropriate and amenable for implementation in finite element (FE) modelling.Methods: Both right and left eye profile data of 118 subjects (63 females and 55 males) aged 22-67 years (38.5 +/- 7.6) were used to build an averaged geometry model. Parametric representation of the averaged geometry model was achieved through two polynomials dividing the eye into three smoothly connected volumes. This study utilised the collagen microstructure x-ray data of 6 ex -vivo healthy human eyes, 3 right eyes and 3 left eyes in pairs from 3 donors, 1 male and 2 females aged between 60 and 80 years, to build a localised element-specific material model for the eye.Results: Fitting the cornea and the posterior sclera sections to a 5th-order Zernike polynomial resulted in 21 coefficients. The averaged anterior eye geometry model recorded a limbus tangent angle of 37 degrees at a radius of 6.6 mm from the corneal apex. In terms of material models, the dif-ference between the stresses generated in the inflation simulation up to 15 mmHg in the ring -segmented material model and localised element-specific material model were significantly different (p < 0.001) with the ring-segmented material model recording average Von-Mises stress 0.0168 +/- 0.0046 MPa and the localised element-specific material model recording average Von-Mises stress 0.0144 +/- 0.0025 MPa.Conclusions: The study illustrates an averaged geometry model of the anterior human eye that is easy to generate through two parametric equations. This model is combined with a localised material model that can be used either parametrically through a Zernike fitted polynomial or non -parametrically as a function of the azimuth angle and the elevation angle of the eye globe. Both averaged geometry and localised material models were built in a way that makes them easy to implement in FE analysis without additional computation cost compared to the limbal disconti-nuity so-called idealised eye geometry model or ring-segmented material model.
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页数:20
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