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Lens:
Ronald A. Schachar
Qualitative Effect of Zonular Tension on Freshly Extracted Intact Human Crystalline Lenses: Implications for the Mechanism of Accommodation
Invest. Ophthalmol. Vis. Sci. 2004; 45: 2691-2695 [Abstract] [Full text] [PDF]
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Electronic letters published:

[Read eLetter] In Vitro Lens Stretching Experiments Apply Non-Physiological Forces to the Lens
Susan A. Strenk   (1 April 2005)
[Read eLetter] Author Response: In Vitro Lens Stretching Experiments Apply Non-Physiological Forces to the Lens
Ronald A. Schachar   (1 April 2005)
[Read eLetter] Opponent Theories of Accommodation Reconciled?
Barbara K. Pierscionek   (1 April 2005)
[Read eLetter] Author Response: Opponent Theories of Accommodation Reconciled?
Ronald A. Schachar   (1 April 2005)

In Vitro Lens Stretching Experiments Apply Non-Physiological Forces to the Lens 1 April 2005
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Susan A. Strenk

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Re: In Vitro Lens Stretching Experiments Apply Non-Physiological Forces to the Lens

sstrenk{at}wowway.com Susan A. Strenk

Dr. Schachar1 describes his lens stretching experiment as qualitative. Specifically, he states that he has not quantified the applied tension and that only qualitative topography data was obtainable. A fatal flaw exists, not only in Dr. Schachar's qualitative lens stretching experiment, but in all in vitro lens stretching experiments2-5: in vivo MRI images clearly show the ciliary muscle is anterior to the crystalline lens equator in the human eye (see for example the IOVS cover May 1999). Any stretching experiments that disregard this relative geometry by placing the ciliary muscle at the lens equator apply an anteroposterior force on the lens that does not exist in vivo, resulting in an artificial distortion of the surface of the lens during resting accommodation (see Glasser and Campbell3 Fig. 2). Furthermore, Strenk and colleagues6 show that the average accommodative change in ciliary muscle diameter is 0.661 ± 0.062 mm; any stretching experiments using larger changes are applying non-physiologic forces on the lens. Of course these stretching experiments also disregard the effects of intraocular pressure, the vitreous and the iris. Thus any findings and conclusions derived from such experiments are necessarily of limited value.

Susan A. Strenk1
Lawrence M. Strenk2
Jane F. Koretz3

1Department of Surgery, University of Medicine and Dentistry of New Jersey–Robert Wood Johnson Medical School, Piscataway, New Jersey
2MRI Research, Inc., Middleburg Heights, Ohio
3Biochemistry and Biophysics Program, Rensselaer Polytechnic Institute, Troy, New York

References

1. Schachar RA. Qualitative effect of zonular tension on freshly extracted intact human crystalline lenses: implications for the mechanism of accommodation. Invest Ophthalmol Vis Sci. 2004;45:2691-2695.
2. Fisher RF. The force of contraction of the human ciliary muscle during accommodation. J Physiol. 1977;270:51-74.
3. Glasser A, Campbell MC. Presbyopia and the optical changes in the human crystalline lens with age. Vision Res. 1998;38:209-229.
4. Pierscionek BK. Age-related response of human lenses to stretching forces. Exp Eye Res. 1995;60:325-332.
5. van Alphen GW, Graebel WP. Elasticity of tissues involved in accommodation. Vision Res. 1991;31:1417-1438.
6. Strenk SA, Semmlow JL, Strenk LM, Munoz P, Gronlund-Jacob J, DeMarco JK. Age-related changes in human ciliary muscle and lens: a magnetic resonance imaging study. Invest Ophthalmol Vis Sci. 1999;40:1162-1169.

Author Response: In Vitro Lens Stretching Experiments Apply Non-Physiological Forces to the Lens 1 April 2005
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Ronald A. Schachar

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Re: Author Response: In Vitro Lens Stretching Experiments Apply Non-Physiological Forces to the Lens

ron{at}2ras.com Ronald A. Schachar

Zonular Traction Applied to the Human Crystalline Lens Results in Central Surface Steepening and Peripheral Flattening

We acknowledge the letter of Strenk et al., which addresses some of the caveats associated with in vitro research on the lens. These issues were carefully considered before undertaking and in evaluating our study. In this qualitative, in vitro, research study, we demonstrated highly reproducible responses in the lens curvature to uniformly applied zonular traction.1

Whether our in vitro observations reflect the actual in vivo lens surface changes during accommodation is subject to correlation with the results of human in vivo studies. Both Tscherning2 and Fincham3 have independently demonstrated that the central anterior surface of the lens steepens while its peripheral surface flattens during in vivo human accommodation, just as we demonstrated in vitro.

The position of the ciliary muscle has been clearly demonstrated, extending posteriorly from the trabecular meshwork to beyond the equatorial plane of the human lens. In vitro4,5,6 and in vivo techniques,7,8 with a resolution of more than 10 times that of MRI images, have all shown that the ciliary muscle extends posteriorly beyond the lens equator. Ultra-fast optical coherence tomography has demonstrated that the ciliary muscle in vivo lies below the insertion of the rectus muscle,9 which is posterior to the lens equator4 (see Fig. 8 in Radhakrishnan et al.9).

Ultrasound biomicroscopy of human accommodation in vivo has characterized that zonular traction in response to ciliary muscle contraction is equatorially directed.7,8 The anatomic attachments of the anterior, equatorial, and posterior zonules from the ciliary body to the lens capsule provide for direct parallel transduction of the force generated by ciliary muscle contraction to the equatorial meridian of the lens.5,6

Many investigators have demonstrated in vivo the independence of the amplitude of human accommodation from those tissues adjacent to the lens. Neither a total iridectomy,10 mydrasis,11 nor vitrectomy12 has any effect. Moreover, the negligible compressibility of the lens13,14 results in the absence of any effect of intraocular pressure15 or vitreous pressure16,17 on lenticular accommodation.18,19 Experimentally, a change in intraocular pressure of up to 6 mm Hg did not alter human accommodative amplitude.15

In summary, we believe that the qualitative surface curvature changes induced by the in vitro application of equatorial zonular traction to fresh human lenses reflect the in vivo lenticular surface changes that occur during human accommodation.

Ronald A. Schachar
Dallas, Texas

References

1. Schachar RA. Qualitative effect of zonular tension on freshly extracted intact human crystalline lenses: implications for the mechanism of accommodation. Invest Ophthalmol Vis Sci. 2004;45:2691-2695.
2. Tscherning M. Physiological Optics. 2nd ed. Philadelphia: The Keystone; 1904:160-189.
3. Fincham EF. Mechanism of accommodation. Br J Ophthalmol. 1937;8(suppl):2-80.
4. Hogan MJ, Alvarado JA, Weddell JE. Histology of the Human Eye. Philadelphia: W.B. Saunders Company; 1971:45-54, 260-319, 673-677.
5. Streeten BW. Zonular apparatus. In: Jakobiec FA, ed. Ocular Anatomy, Embryology and Teratology. Philadelphia: Harper Row; 1982:331-353.
6. Rohen JW. Scanning electron microscopic studies of the zonular apparatus in human and monkey eyes. Invest Ophthalmol Vis Sci. 1979;18:133-144.
7. Ludwig K, Wegscheider E, Hoops JP, Kampik A. In vivo imaging of the human zonular apparatus with high-resolution ultrasound biomicroscopy. Graefes Arch Clin Exp Ophthalmol. 1999;237:361-371.
8. Schachar RA, Tello C, Cudmore DP, Liebmann JM, Black TD, Ritch R. In vivo increase of the human lens equatorial diameter during accommodation. Am J Physiol. 1996 Sep;271(3 Pt 2):R670-676.
9. Radhakrishnan S, Rollins AM, Roth JE, Yazdanfar S, Westphal V, Bardenstein DS, Izatt JA. Real-time optical coherence tomography of the anterior segment at 1310 nm. Arch Ophthalmol. 2001;119:1179-1185.
10. von Graefe A. Fall von acquirirter Aniridie als Beitrag zur Accommodationslehre. Archiv für Ophthalmologie, B. 1860;7:150-161.
11. Gelmi C, Palazzuolo A, Lucchetti M, Trimarchi F. Pupillographic evaluation of the mydriatic effect of ibopamine solution. Int J Clin Pharmacol Ther Toxicol. 1989;27:346-351.
12. Fisher RF. Is the vitreous necessary for accommodation in man? Br J Ophthalmol. 1983;67:206.
13. Duck FA. Physical Properties of Tissue: A Comprehensive Reference Book. London: Academic Press, Harcourt Brace Jovanovich, Publishers; 1990:160-161.
14. Schachar RA. The change in intralenticular pressure during human accommodation (letter). Invest Ophthalmol Vis Sci [serial online]. Available at http://www.iovs.org/cgi/eletters/45/2/539#213. Accessed on March 30, 2005.
15. Kurtz S, Leibovitch I, Shemesh G, Rothkoff L, Loewenstein A. The effect of latanoprost on accommodation in young patients with ocular hypertension. J Glaucoma. 2003;12:54-56.
16. Beauchamp R, Mitchell B. Ultrasound measures of vitreous chamber depth during ocular accommodation. Am J Optom Physiol Opt. 1985;62:523-532.
17. Drexler W, Baumgartner A, Findl O, Hitzenberger CK, Fercher AF. Biometric investigation of changes in the anterior eye segment during accommodation. Vision Res. 1997;37:2789-2800.
18. Langhaar HL. Foundations of Practical Shell Analysis. Urbana, Illinois: University of Illinois; 1964:58-62.
19. Chein CH, Huang T. Schachar RA. Analysis of human crystalline lens accommodation. J Biomech. 2005; in press.

Opponent Theories of Accommodation Reconciled? 1 April 2005
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Barbara K. Pierscionek,
Professor of Optometry and Vision Science
University of Ulster

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Re: Opponent Theories of Accommodation Reconciled?

b.pierscionek{at}ulster.ac.uk Barbara K. Pierscionek

Helmholtz's theory has retained its status as the most widely accepted explanation for accommodation. It has stood the test of time and withstood dissension.1,2 However, a theory only lasts until it is disproved, and durability is not always indicative of accuracy. The latest opposition to Helmholtz, the theory of Schachar deserves consideration, and Schachar's latest paper shows clear evidence in support of his theory.3 Although it is unfortunate that the results are presented as qualitative, from the images shown measurements can be made. The diameters of successive rings from the center outwards were measured from magnified images of Figure 4A and B and are shown in Table 1.

Table 1. *Measurements taken at 400% PC magnification factor and not indicative of actual size.
Diameter of ring (mm)*
Figure 4A Figure 4B
Ring 180° with Traction 90° without Traction 180° with Traction 90° with Traction
Innermost (1st) 3 4 3 3
2nd 10 11 9 10
3rd 13 15 13 13
4th 19 21 19 18
5th 23 26 23 22
6th 28 31 28 27
7th 31 34 31 30
8th 35 39 36 34
9th 39 42 39 38

It is clear that when traction is applied, the diameters of the central rings decrease (Columns 2 and 4), indicating a steepening of the central surface. It was not possible, from the magnified images, to discern rings in the outer lens with sufficient clarity.

A challenge to orthodox reasoning should be considered objectively. Some years ago I developed an instrument for simulating accommodation, which was the first to incorporate optical components for ray tracing.4,5 Recognizing the limitations of working with in vitro samples, I set out to find no more than whether older lenses were less malleable than younger samples. Among the results there was a finding which showed that the curvature of an unstretched lens was flatter than its curvature after application of the first stage of traction; thereafter traction caused progressive flattening of the surface (27-year-old lens4). Bearing in mind that in vitro samples must be treated with caution, the results of initial traction support Schachar's theory.

The conflict which has been created by the seemingly opponent theories of Helmholtz and Schachar has been founded on the assumption that only one theory must be correct and the other must therefore be wholly in error. This very assumption may be mistaken. It is possible that both theories are applicable depending on the age, size, shape, and density of the lens, positions of zonular attachment, the relative strengths of the various parts of the zonule, and the amount and direction of applied force. In our haste to harmonize systems, find trends, and present unified explanations for physiological mechanisms and anatomical structures, we often ignore the possibility that individual variations may exist and may mask any general trend. Moreover, with age there are changes in the dimensions of the component structures, attachment positions of the zonule,6 and therefore in the geometry of the accommodative system.7

One further point with relation to accommodation in the living eye: Schachar mentions that the cornea does not change with accommodation. This is also orthodoxy and findings have shown otherwise.8,9 [The study of Buehren et al.10 relied on mathematical assumptions to make corrections for eye movements. These were not appropriate for the measurement of subtle changes]. This notwithstanding, the magnitude of change in corneal shape was insufficient to invalidate Schachar's conclusions.

Barbara K. Pierscionek
University of Ulster, Coleraine, UK

References

1. Grossman K. The mechanism of accommodation in man. Ophthalmic Review. 1904;16:1-21.
2. Fincham EF. The mechanism of accommodation. Br J Ophthalmol, Monograph Supplement VIII. 1937;21:1-80.
3. Schachar RA. Qualitative effect of zonular tension on freshly extracted intact human crystalline lenses: implications for the mechanism of accommodation. Invest Ophthalmol Vis Sci. 2004;45:2691-2695.
4. Pierscionek BK. In vitro alteration of human lens curvatures by radial stretching. Exp Eye Res. 1993;57:629-635.
5. Pierscionek BK. Age-related response of human lenses to stretching forces. Exp Eye Res. 1995;60:325-332.
6. Farnsworth PN, Shyne SE. Anterior zonular shifts with age. Exp Eye Res. 1979;28:291-297.
7. Pierscionek BK, Weale RA. Presbyopia - a maverick of human ageing. Arch Gerontol Geriatr. 1995;20:229-240.
8. Pierscionek BK, Popiolek-Masajada A, Kasprzak H. Corneal shape change during accommodation. Eye. 2001;15:766-769.
9. He JC, Gwiazda J, Thorn F, Held R, Huang W. Change in corneal shape and corneal wavefront aberrations with accommodation. J Vis. 2003;3:456-463.
10. Buehren T, Collins MJ, Loughridge J, Carney LG, Iskander DR. Corneal topography and accommodation. Cornea. 2003;22:311-316.

Author Response: Opponent Theories of Accommodation Reconciled? 1 April 2005
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Ronald A. Schachar

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Re: Author Response: Opponent Theories of Accommodation Reconciled?

ron{at}2ras.com Ronald A. Schachar

Reassessing the Mechanism of Accommodation

We appreciate Dr. Pierscionek's thoughtful letter, reflecting her attempt to incorporate the often disparate results of published studies. Her task has been made more challenging because of the recently published articles on this subject that lack the adequate controls required of rigorous research.1-5 Their publication may reflect the predisposition of some reviewers to accept works of lesser quality that support established interpretations. It is reassuring to know that discerning scientists, like Dr. Pierscionek, are approaching this subject with an open mind and critically evaluating the data presented.

Ronald A. Schachar
Dallas, Texas

References

1. Levy NS. Comparing MRIs with movement artifact (letter). Invest Ophthalmol Vis Sci [serial online]. Available at http://www.iovs.org/cgi/eletters/40/6/1162#7. Accessed on April 1, 2005.
2. Levy NS. The mechanism of accommodation in primates (letter). Ophthalmology. 2000;107:625-626.
3. Schachar RA. Effect of accommodation on the cornea (letter). J Cataract Refract Surg. 2004;30:531-533.
4. Schachar RA. References are required for measurement of OCT images (letter). J Cataract Refract Surg. 2005;31:257-258.
5. Schachar RA. Change in intralenticular pressure during human accommodation (letter). Invest Ophthalmol Vis Sci [serial online]. Available at http://www.iovs.org/cgi/eletters/45/2/539#213. Accessed on April 1, 2005.


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