Estimating Human Trabecular Meshwork Stiffness by Numerical Modeling and Advanced OCT Imaging

Purpose The purpose of this study was to estimate human trabecular meshwork (hTM) stiffness, thought to be elevated in glaucoma, using a novel indirect approach, and to compare results with direct en face atomic force microscopy (AFM) measurements. Methods Postmortem human eyes were perfused to measure outflow facility and identify high- and low-flow regions (HF, LF) by tracer. Optical coherence tomography (OCT) images were obtained as Schlemm's canal luminal pressure was directly manipulated. TM stiffness was deduced by an inverse finite element modeling (FEM) approach. A series of AFM forcemaps was acquired along a line traversing the anterior angle on a radially cut flat-mount corneoscleral wedge with TM facing upward. Results The elastic modulus of normal hTM estimated by inverse FEM was 70 ± 20 kPa (mean ± SD), whereas glaucomatous hTM was slightly stiffer (98 ± 19 kPa). This trend was consistent with TM stiffnesses measured by AFM: normal hTM stiffness = 1.37 ± 0.56 kPa, which was lower than glaucomatous hTM stiffness (2.75 ± 1.19 kPa). None of these differences were statistically significant. TM in HF wedges was softer than that in LF wedges for both normal and glaucomatous eyes based on the inverse FEM approach but not by AFM. Outflow facility was significantly correlated with TM stiffness estimated by FEM in six human eyes (P = 0.018). Conclusions TM stiffness is higher, but only modestly so, in glaucomatous patients. Outflow facility in both normal and glaucomatous human eyes appears to associate with TM stiffness. This evidence motivates further studies to investigate factors underlying TM biomechanical property regulation.

[1]  T. Sulchek,et al.  Trabecular meshwork stiffness in glaucoma , 2017, Experimental eye research.

[2]  Ruikang K. Wang,et al.  OCT Study of Mechanical Properties Associated with Trabecular Meshwork and Collector Channel Motion in Human Eyes , 2016, PloS one.

[3]  Ruikang K. Wang,et al.  Aqueous outflow regulation: Optical coherence tomography implicates pressure-dependent tissue motion , 2016, Experimental eye research.

[4]  W. Stamer,et al.  Increasing the Availability and Quality of Donor Eyes for Research. , 2016, JAMA ophthalmology.

[5]  S. Tehrani Gender Difference in the Pathophysiology and Treatment of Glaucoma , 2015, Current eye research.

[6]  Ruikang K. Wang,et al.  Platform to investigate aqueous outflow system structure and pressure-dependent motion using high-resolution spectral domain optical coherence tomography , 2014, Journal of biomedical optics.

[7]  R. Daneshvar,et al.  Rho-Associated Kinase Inhibitors: Potential Future Treatments for Glaucoma , 2014, Journal of ophthalmic & vision research.

[8]  Bo Wang,et al.  Recent advances in OCT imaging of the lamina cribrosa , 2014, British Journal of Ophthalmology.

[9]  Kunya Zhang,et al.  An inverse method to determine the mechanical properties of the iris in vivo , 2014, Biomedical engineering online.

[10]  Bo Wang,et al.  IOP elevation reduces Schlemm's canal cross-sectional area. , 2014, Investigative ophthalmology & visual science.

[11]  Pedro Gonzalez,et al.  Circumferential tensile stiffness of glaucomatous trabecular meshwork. , 2014, Investigative ophthalmology & visual science.

[12]  D. Epstein,et al.  Differential effects of trabecular meshwork stiffness on outflow facility in normal human and porcine eyes. , 2012, Investigative ophthalmology & visual science.

[13]  Ruikang K. Wang,et al.  Phase-sensitive optical coherence tomography characterization of pulse-induced trabecular meshwork displacement in ex vivo non-human primate eyes , 2012, Photonics West - Biomedical Optics.

[14]  Hyungmin Park,et al.  A comparison among Neo-Hookean model, Mooney-Rivlin model, and Ogden model for chloroprene rubber , 2012 .

[15]  Ian A Sigal,et al.  Effect of acute intraocular pressure elevation on the monkey optic nerve head as detected by spectral domain optical coherence tomography. , 2011, Investigative ophthalmology & visual science.

[16]  G. Novack,et al.  Ocular hypotensive effect of the Rho kinase inhibitor AR-12286 in patients with glaucoma and ocular hypertension. , 2011, American journal of ophthalmology.

[17]  B. Boyce,et al.  An inverse finite element method for determining the anisotropic properties of the cornea , 2011, Biomechanics and modeling in mechanobiology.

[18]  P. Russell,et al.  Elastic modulus determination of normal and glaucomatous human trabecular meshwork. , 2011, Investigative ophthalmology & visual science.

[19]  Christopher J Murphy,et al.  Indentation versus tensile measurements of Young's modulus for soft biological tissues. , 2011, Tissue engineering. Part B, Reviews.

[20]  Brian Derby,et al.  Characterizing the elastic properties of tissues. , 2011, Materials today.

[21]  C. R. Ethier,et al.  Introductory Biomechanics: From Cells to Organisms , 2007 .

[22]  H. Hidaka,et al.  Development of specific Rho-kinase inhibitors and their clinical application. , 2005, Biochimica et biophysica acta.

[23]  Ruikang K. Wang,et al.  Theory, developments and applications of optical coherence tomography , 2005 .

[24]  M. Johnstone The Aqueous Outflow System as a Mechanical Pump: Evidence from Examination of Tissue and Aqueous Movement in Human and Non-Human Primates , 2004, Journal of glaucoma.

[25]  D. K. Sehgal,et al.  An inverse finite element procedure for the determination of constitutive tensile behavior of materials using miniature specimen , 2004 .

[26]  T. Sawamura,et al.  A myosin light chain kinase inhibitor, ML-9, lowers the intraocular pressure in rabbit eyes. , 2002, Experimental eye research.

[27]  M. Johnstone,et al.  Effects of viscoelastic injection into Schlemm's canal in primate and human eyes: potential relevance to viscocanalostomy. , 2002, Ophthalmology.

[28]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.

[29]  A. Alm,et al.  Prostaglandin Analogues in the Treatment of Glaucoma , 1999, Drugs & aging.

[30]  Hadi Dowlatabadi,et al.  Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: an HIV Model, as an Example , 1994 .

[31]  R. Tschumper,et al.  Human trabecular meshwork organ culture. A new method. , 1987, Investigative ophthalmology & visual science.

[32]  G. Sanborn,et al.  Intraocular and episcleral venous pressure increase during inverted posture. , 1987, American journal of ophthalmology.

[33]  Shirley G Bremer,et al.  OMNITAB 80: An Interpretive System for Statistical and Numerical Data Analysis , 1986 .

[34]  R N Weinreb,et al.  Effect of inverted body position on intraocular pressure. , 1985, American journal of ophthalmology.

[35]  R N Weinreb,et al.  Ocular manifestations of gravity inversion. , 1985, JAMA.

[36]  E. Buskirk Anatomic correlates of changing aqueous outflow facility in excised human eyes. , 1982 .

[37]  K C Ossoinig,et al.  The diagnosis and prognosis of atypical carotid-cavernous fistula (red-eyed shunt syndrome). , 1982, American journal of ophthalmology.

[38]  C. Phelps,et al.  The pathogenesis of glaucoma in Sturge-Weber syndrome. , 1978, Ophthalmology.

[39]  M. Johnstone Pressure-dependent changes in configuration of the endothelial tubules of Schlemm's canal. , 1974, American journal of ophthalmology.

[40]  W. M. Grant,et al.  Microsurgery of Schlemm's canal and the human aqueous outflow system. , 1973, American journal of ophthalmology.

[41]  D. Groggel Practical Nonparametric Statistics , 1972, Technometrics.

[42]  C. Kupfer,et al.  The development of outflow facility in human eyes. , 1971, Investigative ophthalmology.

[43]  H. Murgatroyd,et al.  Intraocular Pressure , 1958 .

[44]  P. Russell,et al.  Elastic modulus determination of normal and glaucomatous human trabecular meshwork. , 2012, Investigative ophthalmology & visual science.

[45]  R. Haut Biomechanics of Soft Tissue , 2002 .

[46]  G. Holzapfel SECTION 10.11 – Biomechanics of Soft Tissue , 2001 .

[47]  C. R. Ethier,et al.  Schlemm's canal and primary open angle glaucoma: correlation between Schlemm's canal dimensions and outflow facility. , 1996, Experimental eye research.

[48]  P. Kingsley,et al.  Human trabecular meshwork organ culture: morphology and glycosaminoglycan synthesis. , 1988, Investigative ophthalmology & visual science.

[49]  Y. Shimizu,et al.  Human trabecular meshwork organ culture. , 1988, Japanese journal of ophthalmology.

[50]  J. Rohen,et al.  [Morphology of Schlemm's canal and related vessels in the human eye]. , 1968, Albrecht von Graefes Archiv fur klinische und experimentelle Ophthalmologie. Albrecht von Graefe's archive for clinical and experimental ophthalmology.

[51]  Benjamin J. Ellis,et al.  FEBio: finite elements for biomechanics. , 2012, Journal of biomechanical engineering.