Erratum to: Intraocular pressure, blood pressure, and retinal blood flow autoregulation: A mathematical model to clarify their relationship and clinical relevance (Invest Ophthalmol Vis Sci, (2014), 55, (4105-4118), 10.1167/iovs.13-13611);Intraocular pressure, blood pressure, and retinal blood flow autoregulation: A mathematical model to clarify their relationship and clinical relevance

Investigative Ophthalmology and Visual Science

Volumn 55, Issue 7, 2014, Pages 4105-4118

  Guidoboni, Giovanna ^a,b   Harris, Alon ^b   Cassani, Simone ^a   Arciero, Julia ^a   Siesky, Brent ^b   Amireskandari, Annahita ^b   Tobe, Leslie ^b   Egan, Patrick ^b   Januleviciene, Ingrida ^c   Park, Joshua ^b  

^a INDIANA UNIVERSITY   (United States)

^b INDIANA UNIVERSITY SCHOOL OF MEDICINE   (United States)

^c LITHUANIAN UNIVERSITY OF HEALTH SCIENCES   (Lithuania)

Author keywords

Autoregulation; Blood flow; Intraocular pressure; Mathematical model; Retina

Indexed keywords

ARTERIAL PRESSURE; ARTICLE; AUTOREGULATION; BLOOD FLOW VELOCITY; BLOOD VESSEL CAPACITANCE; BLOOD VISCOSITY; CLINICAL ASSESSMENT; HEMODYNAMICS; INTRAOCULAR PRESSURE; MATHEMATICAL MODEL; PRIORITY JOURNAL; RETINA BLOOD FLOW; RETINA BLOOD VESSEL; SIMULATION; VALIDATION PROCESS; VASCULAR RESISTANCE; YOUNG MODULUS;

AUTOREGULATION; BLOOD FLOW; INTRAOCULAR PRESSURE; MATHEMATICAL MODEL; RETINA;

BLOOD PRESSURE; HOMEOSTASIS; HUMANS; INTRAOCULAR PRESSURE; LASER-DOPPLER FLOWMETRY; MODELS, THEORETICAL; OCULAR HYPERTENSION; OPTIC DISK; REGIONAL BLOOD FLOW; RETINA; RETINAL VESSELS; VASCULAR RESISTANCE;

EID: 84903977996     PISSN: 01460404     EISSN: 15525783     Source Type: Journal    
DOI: 10.1167/iovs.13-13611a     Document Type: Erratum

References (106)

1. Harris A, Kagemann L, Ehrlich R, Rospigliosi C, Moore D, Siesky B. Measuring and interpreting ocular blood flow and metabolism in glaucoma. Can J Ophthalmol. 2008;43:328-336.
2. Leske MC. Open-angle glaucoma-an epidemiologic overview. Ophthalmic Epidemiol. 2007;14:166-172.
3. Leske MC, Heijl A, Hyman L, Bengtsson B, Dong L, Yang Z. Predictors of long-term progression in the early manifest glaucoma trial. Ophthalmology. 2007;114:1965-1972.
4. Ehrlich R, Harris A, Kheradiya NS, Winston DM, Ciulla TA, Wirostko B. Age-related macular degeneration and the aging eye. Clin Interven Aging. 2008;3:473-482.
5. Pemp B, Schmetterer L. Ocular blood flow in diabetes and age-related macular degeneration. Can J Ophthalmol. 2008; 43:295-301.
6. Rassam SM, Patel V, Kohner EM. The effect of experimental hypertension on retinal vascular autoregulation in humans: a mechanism for the progression of diabetic retinopathy. Exp Physiol. 1995;80:53-68.
7. Alagoz G, Gurel K, Bayer A, Serin D, Celebi S, Kukner S. A comparative study of bimatoprost and travoprost: effect on intraocular pressure and ocular circulation in newly diagnosed glaucoma patients. Ophthalmologica. 2008;222:88-95.
8. Findl O, Strenn K, Wolzt M, et al. Effects of changes in intraocular pressure on human ocular haemodynamics. Curr Eye Res. 1997;16:1024-1029.
9. Galassi F, Giambene B, Corvi A, Falaschi G, Menchini U. Retrobulbar hemodynamics and corneal surface temperature in glaucoma surgery. Int Ophthalmol. 2008;28:399-405.
10. Harris A, Joos K, Kay M, et al. Acute IOP elevation with scleral suction: effects on retrobulbar haemodynamics. Br J Ophthalmol. 1996;80:1055-1059.
11. Huber-van der Velden KK, Lux A, Severing K, Klamann MK, Winterhalter S, Remky A. Retrobulbar hemodynamics before and after oculopression with and without dorzolamide. Curr Eye Res. 2012;37:719-725.
12. Koz OG, Ozsoy A, Yarangumeli A, Kose SK, Kural G. Comparison of the effects of travoprost, latanoprost and bimatoprost on ocular circulation: a 6-month clinical trial. Acta Ophthalmol Scand. 2007;85:838-843.
13. Synder A, Augustyniak E, Laudanska-Olszewska I, Wesolek-Czernik A. [Evaluation of blood-flow parameters in extraocular arteries in patients with primary open-angle glaucoma before and after surgical treatment]. Klin Oczna. 2004;106: 206-208.
14. Trible JR, Sergott RC, Spaeth GL, et al. Trabeculectomy is associated with retrobulbar hemodynamic changes. A color Doppler analysis. Ophthalmology. 1994;101:340-351.
15. Akarsu C, Yilmaz S, Taner P, Ergin A. Effect of bimatoprost on ocular circulation in patients with open-angle glaucoma or ocular hypertension. Graefes Arch Clin Exp Ophthalmol. 2004;242:814-818.
16. Arikan OK, Akarsu C, Unal B, Ergin A, Koc C. Effect of oxymetazoline nasal spray on intraocular pressure and retrobulbar hemodynamics. J Otolaryngol. 2006;35:30-35.
17. Cantor LB. The effect of trabeculectomy on ocular hemodynamics. Trans Am Ophthalmol Soc. 2001;99:241-252.
18. Conway ML, Wevill M, Benavente-Perez A, Hosking SL. Ocular blood-flow hemodynamics before and after application of a laser in situ keratomileusis ring. J Cataract Refract Surg. 2010;36:268-272.
19. Erkin EF, Tarhan S, Kayikcioglu OR, Deveci H, Guler C, Goktan C. Effects of betaxolol and latanoprost on ocular blood flow and visual fields in patients with primary openangle glaucoma. Eur J Ophthalmol. 2004;14:211-219.
20. Fuchsjager-Mayrl G, Georgopoulos M, Hommer A, et al. Effect of dorzolamide and timolol on ocular pressure: blood flow relationship in patients with primary open-angle glaucoma and ocular hypertension. Invest Ophthalmol Vis Sci. 2010; 51:1289-1296.
21. Harris A, Garzozi HJ, McCranor L, Rechtman E, Yung CW, Siesky B. The effect of latanoprost on ocular blood flow. Int Ophthalmol. 2009;29:19-26.
22. Hommer A, Sperl P, Resch H, et al. A double-masked randomized crossover study comparing the effect of latanoprost/ timolol and brimonidine/timolol fixed combination on intraocular pressure and ocular blood flow in patients with primary open-angle glaucoma or ocular hypertension. J Ocul Pharmacol Ther. 2012;28:569-575.
23. Inan UU, Ermis SS, Yucel A, Ozturk F. The effects of latanoprost and brimonidine on blood flow velocity of the retrobulbar vessels: a 3-month clinical trial. Acta Ophthalmol Scand. 2003;81:155-160.
24. James CB. Effect of trabeculectomy on pulsatile ocular blood flow. Br J Ophthalmol. 1994;78:818-822.
25. Kaup M, Plange N, Niegel M, Remky A, Arend O. Effects of brinzolamide on ocular haemodynamics in healthy volunteers. Br J Ophthalmol. 2004;88:257-262.
26. Poinoosawmy D, Indar A, Bunce C, Garway-Heath DF, Hitchings RA. Effect of treatment by medicine or surgery on intraocular pressure and pulsatile ocular blood flow in normal-pressure glaucoma. Graefes Arch Clin Exp Ophthalmol. 2002;240:721-726.
27. Stankiewicz A, Misiuk-Hojlo M, Grabska-Liberek I, et al. Intraocular pressure and ocular hemodynamics in patients with primary open-angle glaucoma treated with the combination of morning dosing of bimatoprost and dorzolamide hydrochloride. Acta Ophthalmol. 2011;89:e57-63.
28. Caprioli J, Coleman AL. Blood pressure, perfusion pressure, and glaucoma. Am J Ophthalmol. 2010;149:704-712.
29. Hayreh SS, Zimmerman MB, Podhajsky P, Alward WL. Nocturnal arterial hypotension and its role in optic nerve head and ocular ischemic disorders. Am J Ophthalmol. 1994; 117:603-624.
30. He Z, Nguyen CT, Armitage JA, Vingrys AJ, Bui BV. Blood pressure modifies retinal susceptibility to intraocular pressure elevation. PloS One. 2012;7:e31104.
31. Leighton DA, Phillips CI. Systemic blood pressure in openangle glaucoma, low tension glaucoma, and the normal eye. Br J Ophthalmol. 1972;56:447-453.
32. Memarzadeh F, Ying-Lai M, Chung J, Azen SP, Varma R. Blood pressure, perfusion pressure, and open-angle glaucoma: the Los Angeles Latino Eye Study. Invest Ophthalmol Vis Sci. 2010;51:2872-2877.
33. Galassi F, Giambene B, Varriale R. Systemic vascular dysregulation and retrobulbar hemodynamics in normaltension glaucoma. Invest Ophthalmol Vis Sci. 2011;52: 4467-4471.
34. Moore D, Harris A, Wudunn D, Kheradiya N, Siesky B. Dysfunctional regulation of ocular blood flow: a risk factor for glaucoma? Clin Ophthalmol. 2008;2:849-861.
35. Sines D, Harris A, Siesky B, et al. The response of retrobulbar vasculature to hypercapnia in primary open-angle glaucoma and ocular hypertension. Ophthalmic Res. 2007;39:76-80.
36. Guidoboni G, Harris A, Arciero J, et al. Mathematical modeling approaches in the study of glaucoma disparities among people of African and European descents. J Coupled Syst Multiscale Dyn. 2013;1:21.
37. Harris A, Guidoboni G, Arciero JC, Amireskandari A, Tobe LA, Siesky BA. Ocular hemodynamics and glaucoma: the role of mathematical modeling. Eur J Ophthalmol. 2013;23:139-146.
38. Burgoyne CF, Downs JC, Bellezza AJ, Suh JK, Hart RT. The optic nerve head as a biomechanical structure: a new paradigm for understanding the role of IOP-related stress and strain in the pathophysiology of glaucomatous optic nerve head damage. Prog Retin Eye Res. 2005;24:39-73.
39. Burgoyne CF. A biomechanical paradigm for axonal insult within the optic nerve head in aging and glaucoma. Exp Eye Res. 2011;93:120-132.
40. Fazio MA, Grytz R, Bruno L, et al. Regional variations in mechanical strain in the posterior human sclera. Invest Ophthalmol Vis Sci. 2012;53:5326-5333.
41. Fazio MA, Grytz R, Morris JS, et al. Age-related changes in human peripapillary scleral strain. Biomech Model Mechanobiol. 2014;13:551-563.
42. Girard MJ, Suh JK, Bottlang M, Burgoyne CF, Downs JC. Scleral biomechanics in the aging monkey eye. Invest Ophthalmol Vis Sci. 2009;50:5226-5237.
43. Grytz R, Meschke G. Constitutive modeling of crimped collagen fibrils in soft tissues. J Mech Behav Biomed Mater. 2009;2:522-533.
44. Grytz R, Meschke G. A computational remodeling approach to predict the physiological architecture of the collagen fibril network in corneo-scleral shells. Biomech Model Mechanobiol. 2010;9:225-235.
45. Grytz R, Meschke G, Jonas JB. The collagen fibril architecture in the lamina cribrosa and peripapillary sclera predicted by a computational remodeling approach. Biomech Model Mechanobiol. 2011;10:371-382.
46. Grytz R, Downs JC. A forward incremental prestressing method with application to inverse parameter estimations and eye-specific simulations of posterior scleral shells [published online ahead of print January 6, 2012]. Comput Methods Biomech Biomed Eng. doi:10.1080/10255842.2011. 64119.
47. Grytz R, Sigal IA, Ruberti JW, Meschke G, Downs JC. Lamina cribrosa thickening in early glaucoma predicted by a microstructure motivated growth and remodeling approach. Mech Mater. 2012;44:99-109.
48. Grytz R, Girkin CA, Libertiaux V, Downs JC. Perspectives on biomechanical growth and remodeling mechanisms in glaucoma(). Mech Res Commun. 2012;42:92-106.
49. Grytz R, Fazio MA, Girard MJ, et al. Material properties of the posterior human sclera. J Mech Behav Biomed Mater. 2014; 29:602-617.
50. Norman RE, Flanagan JG, Sigal IA, Rausch SM, Tertinegg I, Ethier CR. Finite element modeling of the human sclera: influence on optic nerve head biomechanics and connections with glaucoma. Exp Eye Res. 2011;93:4-12.
51. Sigal IA, Flanagan JG, Tertinegg I, Ethier CR. Finite element modeling of optic nerve head biomechanics. Invest Ophthalmol Vis Sci. 2004;45:4378-4387.
52. Sigal IA, Flanagan JG, Ethier CR. Factors influencing optic nerve head biomechanics. Invest Ophthalmol Vis Sci. 2005; 46:4189-4199.
53. Sigal IA, Ethier CR. Biomechanics of the optic nerve head. Exp Eye Res. 2009;88:799-807.
54. Sigal IA, Flanagan JG, Tertinegg I, Ethier CR. Modeling individual-specific human optic nerve head biomechanics. Part I: IOP-induced deformations and influence of geometry. Biomech Model Mechanobiol. 2009;8:85-98.
55. Sigal IA, Flanagan JG, Tertinegg I, Ethier CR. Modeling individual-specific human optic nerve head biomechanics. Part II: influence of material properties. Biomech Model Mechanobiol. 2009;8:99-109.
56. Sigal IA. An applet to estimate the IOP-induced stress and strain within the optic nerve head. Invest Ophthalmol Vis Sci. 2011;52:5497-5506.
57. Ganesan P, He S, Xu H. Development of an image-based network model of retinal vasculature. Ann Biomed Eng. 2010;38:1566-1585.
58. Ganesan P, He S, Xu H. Modelling of pulsatile blood flow in arterial trees of retinal vasculature. Med Eng Phys. 2011;33: 810-823.
59. Ganesan P, He S, Xu H. Development of an image-based model for capillary vasculature of retina. Comput Methods Programs Biomed. 2011;102:35-46.
60. Takahashi T, Nagaoka T, Yanagida H, et al. A mathematical model for the distribution of hemodynamic parameters in the human retinal microvascular network. J Biorheol. 2009;23: 77-86.
61. Arciero J, Harris A, Siesky B, et al. Theoretical analysis of vascular regulatory mechanisms contributing to retinal blood flow autoregulation. Invest Ophthalmol Vis Sci. 2013;54: 5584-5593.
62. Guidoboni G, Harris A, Carichino L, Arieli Y, Siesky B. Effect of intraocular pressure on the hemodynamics of the central retinal artery: a mathematical model. Math Biosci Eng. 2014; 11:523-546.
63. Harris A, Arend O, Bohnke K, Kroepfl E, Danis R, Martin B. Retinal blood flow during dynamic exercise. Graefes Arch Clin Exp Ophthalmol. 1996;234:440-444.
64. Iester M, Torre PG, Bricola G, Bagnis A, Calabria G. Retinal blood flow autoregulation after dynamic exercise in healthy young subjects. Ophthalmologica. 2007;221:180-185.
65. Nemeth J, Knezy K, Tapaszto B, Kovacs R, Harkanyi Z. Different autoregulation response to dynamic exercise in ophthalmic and central retinal arteries: a color Doppler study in healthy subjects. Graefes Arch Clin Exp Ophthalmol. 2002;240:835-840.
66. Morgan WH, Yu DY, Alder VA, et al. The correlation between cerebrospinal fluid pressure and retrolaminar tissue pressure. Invest Ophthalmol Vis Sci. 1998;39:1419-1428.
67. Ren R, Jonas JB, Tian G, et al. Cerebrospinal fluid pressure in glaucoma: a prospective study. Ophthalmology. 2010;117: 259-266.
68. Dorner GT, Polska E, Garhofer G, Zawinka C, Frank B, Schmetterer L. Calculation of the diameter of the central retinal artery from noninvasive measurements in humans. Curr Eye Res. 2002;25:341-345.
69. Dumskyj MJ, Eriksen JE, Dore CJ, Kohner EM. Autoregulation in the human retinal circulation: assessment using isometric exercise, laser Doppler velocimetry, and computer-assisted image analysis. Microvasc Res. 1996;51:378-392.
70. Feke GT, Pasquale LR. Retinal blood flow response to posture change in glaucoma patients compared with healthy subjects. Ophthalmology. 2008;115:246-252.
71. Feke GT, Hazin R, Grosskreutz CL, Pasquale LR. Effect of brimonidine on retinal blood flow autoregulation in primary open-angle glaucoma. J Ocul Pharmacol Ther. 2011;27:347-352.
72. Grunwald JE, DuPont J, Riva CE. Retinal haemodynamics in patients with early diabetes mellitus. Br J Ophthalmol. 1996; 80:327-331.
73. Strauss AL, Kedra AW. Experiences with a new procedure for the measurement of the ophthalmic artery pressure: ophthalmomanometry-Doppler. Med Instrum. 1987;21:255-261.
74. Friedland AB. A mathematical model of transmural transport of oxygen to the retina. Bull Math Biol. 1978;40:823-837.
75. Walker HK, Hall WD, Hurst JW. Clinical Methods: The History, Physical, and Laboratory Examinations. 3rd ed. Boston: Butterworths; 1990.
76. Lakin WD, Stevens SA, Tranmer BI, Penar PL. A whole-body mathematical model for intracranial pressure dynamics. J Math Biol. 2003;46:347-383.
77. Garcia JP Jr, Garcia PT, Rosen RB. Retinal blood flow in the normal human eye using the canon laser blood flowmeter. Ophthalmic Res. 2002;34:295-299.
78. Riva CE, Grunwald JE, Sinclair SH, Petrig BL. Blood velocity and volumetric flow rate in human retinal vessels. Invest Ophthalmol Vis Sci. 1985;26:1124-1132.
79. Yan D, McPheeters S, Johnson G, Utzinger U, Vande Geest JP. Microstructural differences in the human posterior sclera as a function of age and race. Invest Ophthalmol Vis Sci. 2011;52: 821-829.
80. Jonas JB. Ophthalmodynamometric assessment of the central retinal vein collapse pressure in eyes with retinal vein stasis or occlusion. Graefes Arch Clin Exp Ophthalmol. 2003;241: 367-370.
81. Jonas JB. Ophthalmodynamometric measurement of orbital tissue pressure in thyroid-associated orbitopathy. Acta Ophthalmol Scand. 2004;82:239.
82. Sugiura Y, Okamoto F, Okamoto Y, Hasegawa Y, Hiraoka T, Oshika T. Ophthalmodynamometric pressure in eyes with proliferative diabetic retinopathy measured during pars plana vitrectomy. Am J Ophthalmol. 2011;151:624-629. e1.
83. Jonas JB. Ophthalmodynamometric determination of the central retinal vessel collapse pressure correlated with systemic blood pressure. Br J Ophthalmol. 2004;88:501-504.
84. Glucksberg MR, Dunn R. Direct measurement of retinal microvascular pressures in the live, anesthetized cat. Microvasc Res. 1993;45:158-165.
85. Attariwala R, Giebs CP, Glucksberg MR. The influence of elevated intraocular pressure on vascular pressures in the cat retina. Invest Ophthalmol Vis Sci. 1994;35:1019-1025.
86. Denardo SJ, Yamada EG, Hargrave VK, Yock PG. Effect of stenosis inlet geometry on shear rates of blood flow in the upstream region. Am Heart J. 1993;125:350-356.
87. Woodman CR, Trott DW, Laughlin MH. Short-term increases in intraluminal pressure reverse age-related decrements in endothelium-dependent dilation in soleus muscle feed arteries. J Appl Physiol (1985). 2007;103:1172-1179.
88. Boltz A, Schmidl D, Werkmeister RM, et al. Regulation of optic nerve head blood flow during combined changes in intraocular pressure and arterial blood pressure. J Cereb Blood Flow Metab. 2013;33:1850-1856.
89. Chung HS, Harris A, Halter PJ, et al. Regional differences in retinal vascular reactivity. Invest Ophthalmol Vis Sci. 1999; 40:2448-2453.
90. Verma S, Buchanan MR, Anderson TJ. Endothelial function testing as a biomarker of vascular disease. Circulation. 2003; 108:2054-2059.
91. Pedley TJ, Brook BS, Seymour RS. Blood pressure and flow rate in the giraffe jugular vein. Philos Trans R Soc Lond B Biol Sci. 1996;351:855-866.
92. Harris A, Jonescu-Cuypers CP, Kagemann L, Ciulla TA, Krieglstein GK. Atlas of Ocular Blood Flow. Vascular Anatomy, Pathophysiology, and Metabolism. Philadelphia, PA: Elsevier; 2010.
93. Lee EJ, Kim TW, Weinreb RN. Variation of lamina cribrosa depth following trabeculectomy. Invest Ophthalmol Vis Sci. 2013;54:5392-5399.
94. Jonas JB, Holbach L. Central corneal thickness and thickness of the lamina cribrosa in human eyes. Invest Ophthalmol Vis Sci. 2005;46:1275-1279.
95. Ren R, Wang N, Li B, et al. Lamina cribrosa and peripapillary sclera histomorphometry in normal and advanced glaucomatous Chinese eyes with various axial length. Invest Ophthalmol Vis Sci. 2009;50:2175-2184.
96. Fung YC. Biomechanics: Circulation. New York: Springer-Verlag; 1997.
97. Quarteroni A, Tuveri M, Veneziani A. Computational vascular fluid dynamics: problems, models and methods. Comput Visual Sci. 2000;2:163-197.
98. Armentano RL, Barra JG, Levenson J, Simon A, Pichel RH. Arterial wall mechanics in conscious dogs. Assessment of viscous, inertial, and elastic moduli to characterize aortic wall behavior. Circ Res. 1995;76:468-478.
99. Fung YC. Biomechanics: Mechanical Properties of Living Tissues. 2nd ed. New York: Springer-Verlag; 1993.
100. Deng X, Guidoin R. Handbook of biomaterial properties. Arteries, veins and lymphatic vessels. Handbook of Biomaterial Properties. London: Chapman & Hall; 1998;81-105.
101. Baleanu D, Ritt M, Harazny J, Heckmann J, Schmieder RE, Michelson G. Wall-to-lumen ratio of retinal arterioles and arteriole-to-venule ratio of retinal vessels in patients with cerebrovascular damage. Invest Ophthalmol Vis Sci. 2009; 50:4351-4359.
102. Wetterer E, Bauer RD, Pasch T. Arteriensystem. In: Bauereisen E, Bartels H, Trendelenburg W, et al. Physiologie des Kreislaufs. Berlin: Springer-Verlag; 1971;1-66.
103. Jonas JB, Mardin CY, Schlotzer-Schrehardt U, Naumann GO. Morphometry of the human lamina cribrosa surface. Invest Ophthalmol Vis Sci. 1991;32:401-405.
104. Norman RE, Flanagan JG, Rausch SM, et al. Dimensions of the human sclera: thickness measurement and regional changes with axial length. Exp Eye Res. 2010;90:277-284.
105. Newson T, El-Sheikh A. Mathematical modeling of the biomechanics of the lamina cribrosa under elevated intraocular pressures. J Biomech Eng. 2006;128:496-504.
106. Woo SL, Kobayashi AS, Schlegel WA, Lawrence C. Nonlinear material properties of intact cornea and sclera. Exp Eye Res. 1972;14:29-39.