A corneal elastic dynamic model derived from Scheimpflug imaging technology
Purpose To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data. Methods A spherical diaphragm model can better represent the geometry and physics of an eyeball than the popular mass‐spring‐damper model. This research derived the dynamic model o...
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| Published in | Ophthalmic & physiological optics Vol. 35; no. 6; pp. 663 - 672 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
England
Blackwell Publishing Ltd
01.11.2015
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0275-5408 1475-1313 1475-1313 |
| DOI | 10.1111/opo.12240 |
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| Abstract | Purpose
To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data.
Methods
A spherical diaphragm model can better represent the geometry and physics of an eyeball than the popular mass‐spring‐damper model. This research derived the dynamic model of a water‐filled spherical diaphragm based on the hydrodynamics and wave propagation theories. By applying modal analysis on the model, one can decouple the cornea vibration into individual modes and reconstruct the air puff vibration from the decoupled responses. By matching this response with the Scheimpflug imaging data from the Corvis® ST, it was then possible to extract multiple physiological properties as desired.
Results
The dynamic modal analysis was employed to extract the corneal physiological properties of 25 Taiwanese normal subjects. Specifically, the corneal Young's moduli and damping ratios were estimated. In fact the model is dependent on the physiological parameters such as cornea thickness, densities, and intraocular pressure. It is thus also possible to extract these parameters through multi‐goal minimisation processes.
Conclusions
The spherical diaphragm model was able to better describe the dynamic response of the eyeball. The model analysis also provides additional corneal physiological properties that were not available through other means. |
|---|---|
| AbstractList | Purpose
To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data.
Methods
A spherical diaphragm model can better represent the geometry and physics of an eyeball than the popular mass‐spring‐damper model. This research derived the dynamic model of a water‐filled spherical diaphragm based on the hydrodynamics and wave propagation theories. By applying modal analysis on the model, one can decouple the cornea vibration into individual modes and reconstruct the air puff vibration from the decoupled responses. By matching this response with the Scheimpflug imaging data from the Corvis® ST, it was then possible to extract multiple physiological properties as desired.
Results
The dynamic modal analysis was employed to extract the corneal physiological properties of 25 Taiwanese normal subjects. Specifically, the corneal Young's moduli and damping ratios were estimated. In fact the model is dependent on the physiological parameters such as cornea thickness, densities, and intraocular pressure. It is thus also possible to extract these parameters through multi‐goal minimisation processes.
Conclusions
The spherical diaphragm model was able to better describe the dynamic response of the eyeball. The model analysis also provides additional corneal physiological properties that were not available through other means. To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data. A spherical diaphragm model can better represent the geometry and physics of an eyeball than the popular mass-spring-damper model. This research derived the dynamic model of a water-filled spherical diaphragm based on the hydrodynamics and wave propagation theories. By applying modal analysis on the model, one can decouple the cornea vibration into individual modes and reconstruct the air puff vibration from the decoupled responses. By matching this response with the Scheimpflug imaging data from the Corvis(®) ST, it was then possible to extract multiple physiological properties as desired. The dynamic modal analysis was employed to extract the corneal physiological properties of 25 Taiwanese normal subjects. Specifically, the corneal Young's moduli and damping ratios were estimated. In fact the model is dependent on the physiological parameters such as cornea thickness, densities, and intraocular pressure. It is thus also possible to extract these parameters through multi-goal minimisation processes. The spherical diaphragm model was able to better describe the dynamic response of the eyeball. The model analysis also provides additional corneal physiological properties that were not available through other means. To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data.PURPOSETo simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data.A spherical diaphragm model can better represent the geometry and physics of an eyeball than the popular mass-spring-damper model. This research derived the dynamic model of a water-filled spherical diaphragm based on the hydrodynamics and wave propagation theories. By applying modal analysis on the model, one can decouple the cornea vibration into individual modes and reconstruct the air puff vibration from the decoupled responses. By matching this response with the Scheimpflug imaging data from the Corvis(®) ST, it was then possible to extract multiple physiological properties as desired.METHODSA spherical diaphragm model can better represent the geometry and physics of an eyeball than the popular mass-spring-damper model. This research derived the dynamic model of a water-filled spherical diaphragm based on the hydrodynamics and wave propagation theories. By applying modal analysis on the model, one can decouple the cornea vibration into individual modes and reconstruct the air puff vibration from the decoupled responses. By matching this response with the Scheimpflug imaging data from the Corvis(®) ST, it was then possible to extract multiple physiological properties as desired.The dynamic modal analysis was employed to extract the corneal physiological properties of 25 Taiwanese normal subjects. Specifically, the corneal Young's moduli and damping ratios were estimated. In fact the model is dependent on the physiological parameters such as cornea thickness, densities, and intraocular pressure. It is thus also possible to extract these parameters through multi-goal minimisation processes.RESULTSThe dynamic modal analysis was employed to extract the corneal physiological properties of 25 Taiwanese normal subjects. Specifically, the corneal Young's moduli and damping ratios were estimated. In fact the model is dependent on the physiological parameters such as cornea thickness, densities, and intraocular pressure. It is thus also possible to extract these parameters through multi-goal minimisation processes.The spherical diaphragm model was able to better describe the dynamic response of the eyeball. The model analysis also provides additional corneal physiological properties that were not available through other means.CONCLUSIONSThe spherical diaphragm model was able to better describe the dynamic response of the eyeball. The model analysis also provides additional corneal physiological properties that were not available through other means. |
| Author | Huang, Chun-Ju Wang, I-Jong Cao, Huei-Jyun Shih, Po-Jen Shih, Wen-Pin Yen, Jia-Yush |
| Author_xml | – sequence: 1 givenname: Po-Jen surname: Shih fullname: Shih, Po-Jen organization: Department of Civil and Environmental Engineering, National University of Kaohsiung, Kaohsiung, Taiwan – sequence: 2 givenname: Huei-Jyun surname: Cao fullname: Cao, Huei-Jyun organization: Department of Mechanic Engineering, National Taiwan University, Taipei, Taiwan – sequence: 3 givenname: Chun-Ju surname: Huang fullname: Huang, Chun-Ju organization: Department of Mechanic Engineering, National Taiwan University, Taipei, Taiwan – sequence: 4 givenname: I-Jong surname: Wang fullname: Wang, I-Jong organization: Department of Ophthalmology, College of Medicine, National Taiwan University, Taipei, Taiwan – sequence: 5 givenname: Wen-Pin surname: Shih fullname: Shih, Wen-Pin organization: Department of Mechanic Engineering, National Taiwan University, Taipei, Taiwan – sequence: 6 givenname: Jia-Yush surname: Yen fullname: Yen, Jia-Yush email: jyen@ntu.edu.tw organization: Department of Mechanic Engineering, National Taiwan University, Taipei, Taiwan |
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| Keywords | Cornea forced vibration Corvis® ST tonometer |
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| References | Moses RA. Theory of the Schiotz tonometer and its empirical calibration. Trans Am Ophthalmol Soc 1971; 69: 494-562. Cartwright NEK, Tyrer JR & Marshall J. Age-related differences in the elasticity of the human cornea. Invest Ophthalmol Vis Sci 2011; 52: 4324-4329. Wang HC, Prendiville PL, McDonnell PJ & Chang WV. An ultrasonic technique for the measurement of the elastic moduli of human cornea. J Biomech 1996; 29: 1633-1636. Elsheikh A, Alhasso D & Rama P. Biomechanical properties of human and porcine corneas. Exp Eye Res 2008; 86: 783-790. von Freyberg A, Sorg M & Fuhrmann M et al. Acoustic tonometry feasibility study of a new principle of intraocular pressure measurement. J Glaucoma 2009; 18: 316-320. Kling S, Bekesi N, Dorronsoro C et al. Corneal viscoelastic properties from finite element analysis of in vivo air puff deformation. PLoS ONE Aug.2014; 9: e104904. Grinfeld P. Small oscillations of a soap bubble. Stud Appl Math 2012; 128: 30-39. Steele CR. Slope discontinuities in pressure vessels. J Appl Mech 1970; 37: 587-595. Elsheikh A, Wang DF & Pye D. Determination of the modulus of elasticity of the human cornea. J Refract Surg 2007; 808-818. Hong J, Xu J, Wei A et al. A new tonometer-the Corvis st tonometer: clinical comparison with noncontact and Goldmann applanation tonometers. Invest Ophthalmol Vis Sci 2013; 54: 659-665. Hamilton KE & Pye DC. Young's modulus in normal corners and the effect on applanation tonometry. Optom Vis Sci 2008; 85: 445-450. Taber LA. Large deflection of a fluid-filled spherical-shell under a point load. J Appl Mech 1982; 49: 121-128. Norman RE, Flanagan JG, Sigal IA et al. Finite element modeling of the human sclera: influence on optic nerve head biomechanics and connections with glaucoma. Exp Eye Res 2011; 93: 1-9. Woo SLY, Kobayashi AS, Schlegel WA & Lawrence C. Nonlinear material properties of intact cornea and sclera. Exp Eye Res 1972; 14: 29-39. Kaushik S & Pandav SS. Measuring intraocular pressure: how important is the central corneal thickness? J Curr Glaucoma Pr 2007; 1: 21-24. Śródka W. Effect of kinematic boundary conditions on optical and biomechanical behaviour of eyeball model. Acta Bioeng Biomech 2006; 8: 69-77. Rayleigh JWS. The Theory of Sound. Macmillan: London, 1926; p. 1. Swindle KE & Ravi N. Recent advances in polymeric vitreous substitutes. Expert Rev Ophthalmol 2007; 2: 255-265. Glass DH, Roberts CJ, Litsky AS & Weber PA. A viscoelastic biomechanical model of the cornea describing the effect of viscosity and elasticity on hysteresis. Invest Ophthalmol Vis Sci Sept. 2008; 49: 3919-3926. Jue B & Maurice DM. The mechanical-properties of the rabbit and human cornea. J Biomech 1986; 19: 847-853. Uchio E, Ohno S, Kudoh J, Aoki K & Kisielewicz LT. Simulation model of an eyeball based on finite element analysis on a supercomputer. Br J Ophthalmol 1999; 83: 1106-1111. Taber LA. Compression of fluid-filled spherical shells by rigid indenters. J Appl Mech 1983; 50: 717-722. Coquart L, Depeursinge C, Curnier A & Ohayon R. A fluid-structure interaction problem in biomechanics - prestressed vibrations of the eye by the finite-element method. J Biomech 1992; 25: 1105-1118. 1982; 49 1996; 29 2013; 54 2011; 93 2008; 49 1971; 69 2006; 8 2011; 52 2007 1986; 19 2005 1983; 50 1992; 25 2007; 2 2008; 85 1999; 83 2008; 86 2014; 9 1972; 14 2007; 1 2012; 128 1926 1970; 37 2009; 18 e_1_2_5_25_1 e_1_2_5_26_1 e_1_2_5_23_1 e_1_2_5_21_1 e_1_2_5_22_1 Śródka W (e_1_2_5_15_1) 2006; 8 e_1_2_5_20_1 Rayleigh JWS (e_1_2_5_18_1) 1926 e_1_2_5_14_1 e_1_2_5_17_1 Freyberg A (e_1_2_5_8_1) 2009; 18 e_1_2_5_9_1 e_1_2_5_16_1 e_1_2_5_11_1 e_1_2_5_7_1 e_1_2_5_10_1 e_1_2_5_6_1 e_1_2_5_13_1 e_1_2_5_5_1 e_1_2_5_12_1 e_1_2_5_4_1 e_1_2_5_2_1 e_1_2_5_19_1 Moses RA (e_1_2_5_3_1) 1971; 69 Elsheikh A (e_1_2_5_24_1) 2007 |
| References_xml | – reference: von Freyberg A, Sorg M & Fuhrmann M et al. Acoustic tonometry feasibility study of a new principle of intraocular pressure measurement. J Glaucoma 2009; 18: 316-320. – reference: Grinfeld P. Small oscillations of a soap bubble. Stud Appl Math 2012; 128: 30-39. – reference: Rayleigh JWS. The Theory of Sound. Macmillan: London, 1926; p. 1. – reference: Elsheikh A, Alhasso D & Rama P. Biomechanical properties of human and porcine corneas. Exp Eye Res 2008; 86: 783-790. – reference: Cartwright NEK, Tyrer JR & Marshall J. Age-related differences in the elasticity of the human cornea. Invest Ophthalmol Vis Sci 2011; 52: 4324-4329. – reference: Jue B & Maurice DM. The mechanical-properties of the rabbit and human cornea. J Biomech 1986; 19: 847-853. – reference: Taber LA. Compression of fluid-filled spherical shells by rigid indenters. J Appl Mech 1983; 50: 717-722. – reference: Moses RA. Theory of the Schiotz tonometer and its empirical calibration. Trans Am Ophthalmol Soc 1971; 69: 494-562. – reference: Kaushik S & Pandav SS. Measuring intraocular pressure: how important is the central corneal thickness? J Curr Glaucoma Pr 2007; 1: 21-24. – reference: Norman RE, Flanagan JG, Sigal IA et al. Finite element modeling of the human sclera: influence on optic nerve head biomechanics and connections with glaucoma. Exp Eye Res 2011; 93: 1-9. – reference: Wang HC, Prendiville PL, McDonnell PJ & Chang WV. An ultrasonic technique for the measurement of the elastic moduli of human cornea. J Biomech 1996; 29: 1633-1636. – reference: Śródka W. Effect of kinematic boundary conditions on optical and biomechanical behaviour of eyeball model. Acta Bioeng Biomech 2006; 8: 69-77. – reference: Taber LA. Large deflection of a fluid-filled spherical-shell under a point load. J Appl Mech 1982; 49: 121-128. – reference: Kling S, Bekesi N, Dorronsoro C et al. Corneal viscoelastic properties from finite element analysis of in vivo air puff deformation. PLoS ONE Aug.2014; 9: e104904. – reference: Hong J, Xu J, Wei A et al. A new tonometer-the Corvis st tonometer: clinical comparison with noncontact and Goldmann applanation tonometers. Invest Ophthalmol Vis Sci 2013; 54: 659-665. – reference: Elsheikh A, Wang DF & Pye D. Determination of the modulus of elasticity of the human cornea. J Refract Surg 2007; 808-818. – reference: Woo SLY, Kobayashi AS, Schlegel WA & Lawrence C. Nonlinear material properties of intact cornea and sclera. Exp Eye Res 1972; 14: 29-39. – reference: Hamilton KE & Pye DC. Young's modulus in normal corners and the effect on applanation tonometry. Optom Vis Sci 2008; 85: 445-450. – reference: Uchio E, Ohno S, Kudoh J, Aoki K & Kisielewicz LT. Simulation model of an eyeball based on finite element analysis on a supercomputer. Br J Ophthalmol 1999; 83: 1106-1111. – reference: Coquart L, Depeursinge C, Curnier A & Ohayon R. 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| Snippet | Purpose
To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data.
Methods
A spherical diaphragm model can... To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data. A spherical diaphragm model can better represent the... To simultaneously extract the corneal Young's modulus and the damping ratio from Scheimpflug imaging data.PURPOSETo simultaneously extract the corneal Young's... |
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| SubjectTerms | Adult Aged Biomechanical Phenomena Cornea Cornea - physiology Corvis® ST Elastic Modulus - physiology Female forced vibration Humans Intraocular Pressure - physiology Male Middle Aged Models, Theoretical Ocular Physiological Phenomena tonometer Tonometry, Ocular - methods Young Adult |
| Title | A corneal elastic dynamic model derived from Scheimpflug imaging technology |
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