Abstract

The fundamental difference between modern formulae for intraocular lens (IOL) power calculation lies on the single ad hoc regression model they use to estimate the effective lens position (ELP). The ELP is very difficult to predict and its estimation is considered critical for an accurate prediction of the required IOL power of the lens to be implanted during cataract surgery. Hence, more advanced prediction techniques, which improve the prediction accuracy of the ELP, could play a decisive role in improving patient refractive outcomes. This study introduced a new approach for the calculation of personalized IOL power, which used an ensemble of regression models to devise a more accurate and robust prediction of the ELP. The concept of cross-validation was used to rigorously assess the performance of the devised formula against the most commonly used and published formulae. The results from this study show that overall, the proposed approach outperforms the most commonly used modern formulae (namely, Haigis, Holladay I, Hoffer Q and SRK/T) in terms of mean absolute prediction errors and prediction accuracy i.e., the percentage of eyes within ± 0.5D and ± 1 D ranges of prediction, for various ranges of axial lengths of the eyes. The new formula proposed in this study exhibited some promising features in terms of robustness. This enables the new formula to cope with variations in the axial length, the pre-operative anterior chamber depth and the keratometry readings of the corneal power; hence mitigating the impact of their measurement accuracy. Furthermore, the new formula performed well for both monofocal and multifocal lenses.

Highlights

  • The fundamental difference between modern formulae for intraocular lens (IOL) power calculation lies on the single ad hoc regression model they use to estimate the effective lens position (ELP)

  • The last three formulae used two pre-operative measurements, namely the axial length of the eye and the average corneal power,derived from the average keratometry readings in diopters, which are combined with an additional ad hoc constant associated with each IOL type, and referred to as the IOL constant, to estimate the required power for a given IOL

  • The results reported in this study, which are comparable to those presented in the ­literature[9,10,11,13,14,26], show that the MM formula outperformed the four commonly used modern formulae in terms of median absolute error as well as prediction accuracy, in particular within the range ± 0.5 D and ± 1 D, for various ranges of axial length

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Summary

Introduction

The fundamental difference between modern formulae for intraocular lens (IOL) power calculation lies on the single ad hoc regression model they use to estimate the effective lens position (ELP). The new formula proposed in this study exhibited some promising features in terms of robustness This enables the new formula to cope with variations in the axial length, the pre-operative anterior chamber depth and the keratometry readings of the corneal power; mitigating the impact of their measurement accuracy. The last three formulae used two pre-operative measurements, namely the axial length of the eye and the average corneal power,—derived from the average keratometry readings in diopters, which are combined with an additional ad hoc constant (pACD—“personalized” Anterior Chamber Depth—for Hoffer Q, SF—Surgeon Factor—for Holladay I, and ­Aconstant for SRK/T) associated with each IOL type, and referred to as the IOL constant, to estimate the required power for a given IOL. The details on the implementation process of these formulae are not available

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