With the world’s aging population, it is expected that the number of people affected by glaucoma, the second most common cause of irreversible blindness, will increase considerably. Current knowledge on glaucoma progression relates elevation of the intraocular pressure (IOP) to optic nerve damage and hence visual impairment. For this reason, IOP measurement in tonometry has become an essential part of routine eye examinations needed for the diagnosis and management of the disease. The accuracy of the current reference standard in tonometry, the Goldmann applanation tonometer, is known to be affected by the natural variations in corneal thickness, curvature, and material properties. Earlier studies attempted to quantify these effects and produced correction factors that considered the variations in each one of these parameters separately, and no guidance was given as to how to combine the effects of variations in more than one parameter. The present research attempted to address this gap by conducting a multidimensional numerical study that considered variations in thickness, curvature, material properties, and IOP, and used the results to develop a single correction equation that considered these parameters simultaneously. The results of the analysis and the correction equation were validated successfully against the outcome of earlier clinical and mathematical studies on the effect of individual parameters, and the correction equation was presented in a simple form suitable for clinical application.

1.
International Standards Organization
, 2001, ISO8612:2001(E): Ophthalmic Instruments—Tonometers, Copyright Office, Switzerland.
2.
Kotecha
,
A.
,
White
,
E. T.
,
Shewry
,
J. M.
, and
Garway-Heath
,
D. F.
, 2005, “
The Relative Effects of Corneal Thickness and Age on Goldmann Applanation Tonometry and Dynamic Contour Tonometry
,”
Br. J. Ophthamol.
0007-1161,
89
, pp.
1572
1575
.
3.
Goldmann
,
H.
, and
Schmidt
,
T.
, 1957, “
Applanation Tonometry
,”
Ophthalmologica
,
R.
Ritch
and
R. M.
Caronia
, eds.,
Kugler
,
Amsterdam, The Netherlands
, pp.
155
162
.
4.
Ehlers
,
N.
,
Bramsen
,
T.
, and
Sperling
,
S.
, 1975, “
Applanation Tonometry and Central Corneal Thickness
,”
Acta Ophthalmol. (Copenh.)
,
53
, pp.
34
43
. 0001-639X
5.
Whitacre
,
M. M.
,
Stein
,
R. A.
, and
Hassanein
,
K.
, 1993, “
The Effect of Corneal Thickness on Applanation Tonometry
,”
Am. J. Ophthalmol.
0002-9394,
115
, pp.
592
596
.
6.
Wolfs
,
R. C.
,
Klaver
,
C. C.
,
Vingerling
,
J. R.
,
Grobbee
,
D. E.
,
Hofman
,
A.
, and
Jong
,
P. T.
, 1997, “
Distribution of Central Corneal Thickness and Its Association With Intraocular Pressure: The Rotterdam Study
,”
Am. J. Ophthalmol.
0002-9394,
123
, pp.
767
772
.
7.
Orssengo
,
G. J.
, and
Pye
,
D. C.
, 1999, “
Determination of the True Intraocular Pressure and Modulus of Elasticity of the Human Cornea In Vivo
,”
Bull. Math. Biol.
0092-8240,
61
, pp.
551
572
.
8.
Gunvant
,
P.
,
Baskaran
,
M.
,
Vijaya
,
L.
,
Joseph
,
I. S.
,
Watkins
,
R. J.
,
Nallapothula
,
M.
,
Broadway
,
D. C.
, and
O’Leary
,
D. J.
, 2004, “
Effect of Corneal Parameters on Measurements Using the Pulsatile Ocular Blood Flow Tonograph and Goldmann Applanation Tonometer
,”
Br. J. Ophthamol.
0007-1161,
88
, pp.
518
522
.
9.
Tonnu
,
P. -A.
,
Ho
,
T.
,
Newson
,
T.
,
Elsheikh
,
A.
,
Sharma
,
K.
,
White
,
E.
,
Bunce
,
C.
, and
Garway-Heath
,
D. F.
, 2005, “
The Influence of Central Corneal Thickness and Age on Intraocular Pressure Measured by Pneumotonometry, Non-Contact Tonometry, the Tono-Pen Xl and Goldmann Applanation Tonometry
,”
Br. J. Ophthamol.
0007-1161,
89
, pp.
851
854
.
10.
Barleon
,
L.
,
Hoffmann
,
E. M.
,
Berres
,
M.
,
Pfeiffer
,
N.
, and
Grus
,
F. H.
, 2006, “
Comparison of Dynamic Contour Tonometry and Goldmann Applanation Tonometry in Glaucoma Patients and Healthy Subjects
,”
Am. J. Ophthalmol.
0002-9394,
142
, pp.
583
590
.
11.
Feltgen
,
N.
,
Leifert
,
D.
, and
Funk
,
J.
, 2001, “
Correlation Between Central Corneal Thickness, Applanation Tonometry and Direct Intracameral IOP Readings
,”
Br. J. Ophthamol.
0007-1161,
85
, pp.
85
87
.
12.
Pakrou
,
N.
,
Gray
,
T.
,
Mills
,
R.
,
Landers
,
J.
, and
Craig
,
J.
, 2008, “
Clinical Comparison of the Icare Tonometer and Goldmann Applanation Tonometry
,”
J. Glaucoma
1057-0829,
17
, pp.
43
47
.
13.
Shah
,
S.
,
Spedding
,
C.
,
Bhojwani
,
R.
,
Kwartz
,
J.
,
Henson
,
D.
, and
McLeod
,
D.
, 2000, “
Assessment of the Diurnal Variation in Central Corneal Thickness and Intraocular Pressure for Patients With Suspected Glaucoma
,”
Ophthalmology
0161-6420,
107
(
6
), pp.
1191
1193
.
14.
Liu
,
J.
, and
Roberts
,
C. J.
, 2005, “
Influence of Corneal Biomechanical Properties on Intraocular Pressure Measurement: Quantitative Analysis
,”
J. Cataract Refractive Surg.
0886-3350,
31
, pp.
146
155
.
15.
Weinreb
,
R. N.
,
Brandt
,
J. D.
,
Garway-Heath
,
D. F.
, and
Medeiros
,
F.
, 2007,
Intraocular Pressure
,
Kugler
,
Amsterdam, The Netherlands
.
16.
Kanngiesser
,
H. E.
,
Inversini
,
C.
, and
Ducry
,
V. L.
, 2005, “
Simulation of Dynamic Contour Tonometry on a Non-Linear Nonspherical Eye Model Using Finite Element Methods
,” ARVO, Poster No. 1340.
17.
Mark
,
H. H.
, 1973, “
Corneal Curvature in Applanation Tonometry
,”
Am. J. Ophthalmol.
0002-9394,
76
, pp.
223
224
.
18.
Kaufmann
,
C.
,
Bachmann
,
L. M.
, and
Thiel
,
M. A.
, 2004, “
Comparison of Dynamic Contour Tonometry With Goldmann Applanation Tonometry
,”
Invest. Ophthalmol. Visual Sci.
0146-0404,
45
, pp.
3118
3121
.
19.
Elsheikh
,
A.
,
Wang
,
D.
,
Rama
,
P.
,
Campanelli
,
M.
, and
Pye
,
D.
, 2007, “
Assessment of Corneal Biomechanical Properties and Their Variation With Age
,”
Curr. Eye Res.
0271-3683,
32
, pp.
11
19
.
20.
Nash
,
I. S.
,
Greene
,
P. R.
, and
Foster
,
C. S.
, 1982, “
Comparison of Mechanical Properties of Keratoconus and Normal Corneas
,”
Exp. Eye Res.
0014-4835,
35
, pp.
413
424
.
21.
Daxer
,
A.
, and
Fratzl
,
P.
, 1997, “
Collagen Fibril Orientation in the Human Corneal Stroma and Its Implication in Keratoconus
,”
Invest. Ophthalmol. Visual Sci.
0146-0404,
38
(
1
), pp.
121
129
.
22.
Andreassen
,
T. T.
,
Simonsen
,
A. H.
, and
Oxlund
,
H.
, 1980, “
Biomechanical Properties of Keratoconus and Normal Corneas
,”
Exp. Eye Res.
0014-4835,
31
, pp.
435
441
.
23.
Bryant
,
M. R.
,
Szerenyi
,
K.
,
Schmotzer
,
H.
, and
McDonnell
,
P.
, 1994, “
Corneal Tensile Strength in Fully Healed Radial Keratotomy Wounds
,”
Invest. Ophthalmol. Visual Sci.
0146-0404,
35
(
7
), pp.
3022
3031
.
24.
Radner
,
W.
,
Zehetmayer
,
M.
,
Skorpik
,
C.
, and
Mallinger
,
R.
, 1998, “
Altered Organization of Collagen in the Apex of Keratoconus Corneas
,”
Ophthalmic Res.
0030-3747,
30
(
5
), pp.
327
332
.
25.
Meek
,
K. M.
,
Tuft
,
S. J.
,
Huang
,
Y.
,
Gill
,
P. S.
,
Hayes
,
S.
,
Newton
,
R. H.
, and
Bron
,
A. J.
, 2005, “
Changes in Collagen Orientation and Distribution in Keratoconus Corneas
,”
Invest. Ophthalmol. Visual Sci.
0146-0404,
46
, pp.
1948
1956
.
26.
Elsheikh
,
A.
, and
Wang
,
D.
, 2007, “
Numerical Modelling of Corneal Biomechanical Behaviour
,”
Comput. Methods Biomech. Biomed. Eng.
1025-5842,
10
(
2
), pp.
85
95
.
27.
Hanna
,
K. D.
,
Jouve
,
F. E.
,
Waring
,
G. O.
, and
Ciarlet
,
P. G.
, 1992, “
Computer Simulation of Acute Keratotomy for Astigmatism
,”
Refract. Corneal Surg.
1042-962X,
8
, pp.
152
163
.
28.
Hibbitt, Karlsson and Sorensen, Inc.
, 2008, ABAQUS: Standard Users Manual, Detroit, MI.
29.
Anderson
,
K.
,
Elsheikh
,
A.
, and
Newson
,
T.
, 2004, “
Application of Structural Analysis to the Mechanical Behaviour of the Cornea
,”
J. R. Soc., Interface
1742-5689,
1
, pp.
1
13
.
30.
Laiquzzaman
,
M.
,
Bhojwani
,
R.
,
Cunliffe
,
I.
, and
Shah
,
S.
, 2006, “
Diurnal Variation of Ocular Hysteresis in Normal Subjects: Relevance in Clinical Context
,”
Clin. Experiment. Ophthalmol.
,
34
, pp.
114
118
. 1442-6404
31.
Foster
,
P. J.
,
Machin
,
D.
,
Wong
,
T. -Y.
,
Ng
,
T. -P.
,
Kirwan
,
J. F.
,
Johnson
,
G. J.
,
Khaw
,
P. T.
, and
Seah
,
S. K. L.
, 2003, “
Determinants of Intraocular Pressure and Its Association With Glaucomatous Optic Neuropathy in Chinese Singaporeans: The Tanjong Pagar Study
,”
Invest. Ophthalmol. Visual Sci.
0146-0404,
44
, pp.
3885
3891
.
32.
Lee
,
G. A.
,
Khaw
,
P. T.
,
Ficker
,
L. A.
, and
Shah
,
P.
, 2002, “
The Corneal Thickness and Intraocular Pressure Story: Where Are We Now?
,”
Clin. Experiment. Ophthalmol.
,
30
, pp.
334
337
. 1442-6404
33.
Hirji
,
N. K.
, and
Larke
,
J. R.
, 1978, “
Thickness of Human Cornea Measured by Topographic Tachometry
,”
Am. J. Optom. Arch. Am. Acad. Optom.
0002-9408,
55
, pp.
97
100
.
34.
Martola
,
E. L.
, and
Baum
,
J. L.
, 1968, “
Central and Peripheral Corneal Thickness
,”
Arch. Ophthalmol. (Chicago)
0003-9950,
79
, pp.
28
30
.
35.
Maurice
,
D. M.
, and
Giardini
,
A. A.
, 1951, “
A Simple Optical Apparatus for Measuring the Corneal Thickness and the Average Thickness of the Human Cornea
,”
Br. J. Ophthamol.
0007-1161,
35
, pp.
169
177
.
36.
Bennett
,
G.
, and
Rabbetts
,
R. B.
, 1989,
Clinical Visual Optics
, Vol.
2
,
Butterworths
,
London
.
37.
Dubbelman
,
M.
,
Weeber
,
H. A.
,
Van Der Heijde
,
R. G. L.
, and
Völker-Dieben
,
H. J.
, 2002, “
Radius and Asphericity of the Posterior Corneal Surface Determined by Corrected Scheimpflug Photography
,”
Acta Ophthalmol. Scand.
1395-3907,
80
, pp.
379
383
.
38.
Read
,
S. A.
,
Collins
,
M. J.
,
Carney
,
L. G.
, and
Franklin
,
R. J.
, 2006, “
The Topography of the Central and Peripheral Cornea
,”
Invest. Ophthalmol. Visual Sci.
0146-0404,
47
, pp.
1404
1415
.
39.
Elsheikh
,
A.
,
Wang
,
D.
,
Rama
,
P.
,
Campanelli
,
M.
, and
Garway-Heath
,
D. F.
, 2008, “
Experimental Assessment of Human Corneal Hysteresis
,”
Curr. Eye Res.
0271-3683,
33
, pp.
205
213
.
40.
Wang
,
D.
, 2008, “
Biomechanical Modelling of the Cornea With Applications in Tonometry Assessment
,” Ph.D. thesis, University of Dundee, Dundee, UK.
41.
Elsheikh
,
A.
,
Wang
,
D.
,
Kotecha
,
A.
,
Brown
,
M.
, and
Garway-Heath
,
D. F.
, 2006, “
Evaluation of Goldmann Applanation Tonometry Using a Nonlinear Finite Element Ocular Model
,”
Ann. Biomed. Eng.
0090-6964,
34
(
10
), pp.
1628
1640
.
42.
Foster
,
P. J.
,
Baasanhu
,
J.
,
Alsbirk
,
P. H.
,
Munkhbayar
,
D.
,
Uranchimeg
,
D.
, and
Johnson
,
G. J.
, 1998, “
Central Corneal Thickness and Intraocular Pressure in a Mongolian Population
,”
Ophthalmology
0161-6420,
105
, pp.
969
973
.
You do not currently have access to this content.