Machine-learning technology for predicting intraocular lens power: Diagnostic data generalization

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Abstract

BACKGROUND: The implantation of recent intraocular lens (IOLs) allows ophthalmologists to effectively solve the surgical rehabilitation problems of patients with cataracts. The degree of improvement in the patient’s visual function is directly dependent on the accuracy of the preoperative calculation of the optical IOL power. The most famous formulas used to calculate this indicator include SRK II, SRK/T, Hoffer-Q, Holladay II, Haigis, and Barrett. All these work well for an “average patient”; however, they are not adequate at the boundaries of input variable ranges.

AIM: To examine the possibility of using mathematical models obtained by deep learning of artificial neural network (ANN) models to generalize data and predict the optical power of modern IOLs.

MATERIALS AND METHODS: ANN models were trained on large-scale samples, including depersonalized data for patients in the ophthalmology clinic. Data provided in 2021 by ophthalmologist K.K. Syrykh reflect the results of both preoperative and postoperative observations of patients. The source file used to build the ANN model included 455 records (26 columns of input factors and one column for the output factor) for calculating IOL (diopters). To conveniently build ANN models, a simulator program previously developed by the authors was used.

RESULTS: The resulting models, in contrast to the traditionally used formulas, reflect the regional specificity of patients to a much greater extent. They also make it possible to retrain and optimize the structure based on newly received data, which allows us to consider the nonstationarity of objects. A distinctive feature of such ANN models in comparison with the well-known formulas SRK II, SRK/T, Hoffer-Q, Holladay II, Haigis, and Barrett, which are widely used in surgical cataract treatment, is their ability to consider a significant number of recorded input quantities, which reduces the mean relative error in calculating the optical IOL power from 10%–12% to 3.5%.

CONCLUSION: This study reveals the fundamental possibility of generalizing a significant amount of empirical data on calculating the optical IOL power using training ANN models that have a significantly larger number of input variables than those obtained using traditional formulas and methods. The results obtained allow the construction of an intelligent expert system with a continuous flow of new data from a source and a step-by-step retraining of ANN models.

About the authors

Alexander А. Arzamastsev

Voronezh State University; The S. Fyodorov Eye Microsurgery Federal State Institution

Email: arz_sci@mail.ru
ORCID iD: 0000-0001-6795-2370
SPIN-code: 4410-6340

Dr. Sci. (Engineering), Professor

Russian Federation, Voronezh; Tambov

Oleg L. Fabrikantov

The S. Fyodorov Eye Microsurgery Federal State Institution

Email: fabr-mntk@yandex.ru
ORCID iD: 0000-0003-0097-991X
SPIN-code: 9675-9696

MD, Dr. Sci. (Medicine), Professor

Russian Federation, Tambov

Natalia А. Zenkova

Derzhavin Tambov State University

Email: natulin@mail.ru
ORCID iD: 0000-0002-2325-1924
SPIN-code: 2266-4168

Cand. Sci. (Psychology), Assistant Professor

Russian Federation, Tambov

Sergey V. Belikov

The S. Fyodorov Eye Microsurgery Federal State Institution

Author for correspondence.
Email: pvt.leopold@gmail.com
ORCID iD: 0000-0002-4254-3906
SPIN-code: 5553-8398

MD

Russian Federation, Tambov

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Supplementary files

Supplementary Files
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1. JATS XML
2. Fig. 1. Correlation dependence of the required optical IOL power along the horizontal axis and the calculated optical IOL power along the vertical axis according to the formulas: a) Haigis, b) Holladay, c) SRK II, and d) SRK/T for 11,701 patients. The correlation coefficients are shown in the graphs.

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3. Fig. 2. Correlation of the calculated (Ymod) and empirical data (Ytab) for the first-order ANN model. The pair correlation coefficient is 0.84, and the mean relative error is 11.9%.

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4. Fig. 3. Correlation of the calculated (Ymod) and empirical data (Ytab) for the second-order ANN model. The pair correlation coefficient is 0.99, and the mean relative error is 4.8%.

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5. Fig. 4. Correlation of the calculated (Ymod) and empirical data (Ytab) for the third-order ANN model. The pair correlation coefficient is 0.99, and the mean relative error is 3.5%.

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