Abstract

Spherical and astigmatic powers for phakic intraocular lenses are frequently calculated using fixed ratios of phakic lens refractive power to refractive spherical equivalent, and of phakic lens astigmatism to refractive cylinder. In this study, a Monte-Carlo simulation based on biometric data was used to investigate how variations in biometrics affect these ratios, in order to improve the calculation of implantable lens parameters. A data set of over sixteen thousand biometric measurements including axial length, phakic anterior chamber depth, and corneal equivalent and astigmatic power was used to construct a multidimensional probability density distribution. From this, we determined the axial position of the implanted lens and estimated the refractive spherical equivalent and refractive cylinder. A generic data model resampled the density distributions and interactions between variables, and the implantable lens power was determined using vergence propagation. 50 000 artificial data sets were used to calculate the phakic lens spherical equivalent and astigmatism required for emmetropization, and to determine the corresponding ratios for these two values. The spherical ratio ranged from 1.0640 to 1.3723 and the astigmatic ratio from 1.0501 to 1.4340. Both ratios are unaffected by the corneal spherical / astigmatic powers, or the refractive cylinder, but show strong correlation with the refractive spherical equivalent, mild correlation with the lens axial position, and moderate negative correlation with axial length. As a simplification, these ratios could be modelled using a bi-variable linear regression based on the first two of these factors. Fixed spherical and astigmatic ratios should not be used when selecting high refractive power phakic IOLs as their variation can result in refractive errors of up to ±0.3 D for a 8 D lens. Both ratios can be estimated with clinically acceptable precision using a linear regression based on the refractive spherical equivalent and the axial position.

Highlights

  • Spherical and astigmatic powers for phakic intraocular lenses are frequently calculated using fixed ratios of phakic lens refractive power to refractive spherical equivalent, and of phakic lens astigmatism to refractive cylinder

  • The refractive spherical equivalent (RSEQ) has a strong effect on both ratios: the more hyperopic the eye is before implantation of a phakic lens, the higher are the ratioeq and the ratioast

  • In young patients with a sufficient amount of physiological accommodation, corneorefractive surgery procedures such as LASIK, SMILE/FLEX or PRK are preferred in the case of low or moderate spherical and/or astigmatic refraction errors (Kohnen et al 2005; Fig. 3. (A) Ratio of phakic lens equivalent power to corneal equivalent power and ratio of phakic lens astigmatism to corneal astigmatism as a function of corneal equivalent power

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Summary

Introduction

Spherical and astigmatic powers for phakic intraocular lenses are frequently calculated using fixed ratios of phakic lens refractive power to refractive spherical equivalent, and of phakic lens astigmatism to refractive cylinder. Both ratios are unaffected by the corneal spherical / astigmatic powers, or the refractive cylinder, but show strong correlation with the refractive spherical equivalent, mild correlation with the lens axial position, and moderate negative correlation with axial length As a simplification, these ratios could be modelled using a bi-variable linear regression based on the first two of these factors. Conclusion: Fixed spherical and astigmatic ratios should not be used when selecting high refractive power phakic IOLs as their variation can result in refractive errors of up to Æ0.3 D for a 8 D lens Both ratios can be estimated with clinically acceptable precision using a linear regression based on the refractive spherical equivalent and the axial position. If toric phakic lenses are implanted in the ciliary sulcus, rotation of the IOL axis might occur even years after surgery, reducing the effect of astigmatism correction and making realignment necessary

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