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

Capa

Citar

Resumo

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.

Sobre autores

Alexander Arzamastsev

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

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

Dr. Sci. (Engineering), Professor

Rússia, Voronezh; Tambov

Oleg Fabrikantov

The S. Fyodorov Eye Microsurgery Federal State Institution

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

MD, Dr. Sci. (Medicine), Professor

Rússia, Tambov

Natalia Zenkova

Derzhavin Tambov State University

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

Cand. Sci. (Psychology), Assistant Professor

Rússia, Tambov

Sergey Belikov

The S. Fyodorov Eye Microsurgery Federal State Institution

Autor responsável pela correspondência
Email: pvt.leopold@gmail.com
ORCID ID: 0000-0002-4254-3906
Código SPIN: 5553-8398

MD

Rússia, Tambov

Bibliografia

  1. Fyodorov SN, Kolinko AI. Method of calculating the optical power of an intraocular lens. The Russian Annals of Ophthalmology. 1967;(4):27–31. (In Russ).
  2. Balashevich LI, Danilenko EV. Results in application of the fyodorov’s iol power formula for posterior chamber lenses calculation. Fyodorov Journal of Ophthalmic Surgery. 2011;(1):34–38. EDN: PXRASV
  3. Sanders DR, Kraff MC. Improvement of intraocular lens power calculation using empirical data. American Intra-Ocular Implant Society Journal. 1980;6:263–267. doi: 10.1016/s0146-2776(80)80075-9
  4. Sanders DR, Retzlaff JA, Kraff MC. Comparison of the SRK II formula and other second-generation formulas. Journal of Cataract & Refractive Surgery. 1988;14(2):136–141. doi: 10.1016/s0886-3350(88)80087-7
  5. Sanders DR, Retzlaff JA, Kraff MC. Development of the SRK/T IOL power calculation formula. Journal of Cataract & Refractive Surgery. 1990;16(3):333–340. doi: 10.1016/s0886-3350(13)80705-5
  6. Hoffer KJ. The Hoffer Q formula: a comparison of theoretic and regression formulas. Journal of Cataract & Refractive Surgery. 1993;19(6):700–712. doi: 10.1016/s0886-3350(13)80338-0
  7. Holladay JT, Prager TC, Ruiz RS, et al. A three-part system for refining intraocular lens power calculation. Journal of Cataract & Refractive Surgery. 1988;14(1):17–24. doi: 10.1016/S0886-3350(88)80059-2
  8. Pershin KB, Pashinova NF, Tsygankov AYu, Legkhih SL. Choice of IOL Optic Power Calculation Formula in Extremely High Myopia Patients “Excimer” Ophthalmology Centre, Moscow. Point of view. East - West. 2016;(1):64–67. EDN: WHCNPF
  9. Buduma N, Lokasho N. Foundations of deep learning. Creating Algorithms for Next Generation Artificial Intelligence. Moscow: Mann, Ivanov i Ferber; 2020. (In Russ).
  10. Foster D. Generative deep learning. Creative potential of neural networks. Saint Petersburg: Piter; 2020. (In Russ).
  11. Ramsundar B, Istman P, Uolters P, Pande V. Deep learning in biology and medicine. Moscow: DMK Press; 2020. (In Russ).
  12. Kharrison M. Machine learning: a pocket guide. A quick guide to structured machine learning methods in Python. Saint Petersburg: Dialektika LLC; 2020. (In Russ).
  13. Arzamastsev AA, Fabrikantov OL, Zenkova NA, Belousov NK. Optimization of Formulae for Intraocular Lenses Calculating. Tambov University Reports. Series: Natural and Technical Sciences. 2016;21(1):208–213. EDN: VNWHVZ doi: 10.20310/1810-0198-2016-21-1-208-213
  14. Yamauchi T, Tabuchi T, Takase K, Masumoto H. Use of a machine learning method in predicting refraction after cataract surgery. Journal of Clinical Medicine. 2021;10(5):1103. doi: 10.3390/jcm10051103
  15. Certificate of state registration of the computer program № 2012618141/ 07.09.2012. Arzamastsev AA, Rykov VP, Kryuchin OV. Artificial neural network simulator with implementation of modular learning principle. (In Russ).
  16. Kolmogorov AN. On the representation of continuous functions of several variables by superpositions of continuous functions of fewer variables. Doklady Akademii nauk SSSR. 1956;108(2):179–182. (In Russ).
  17. Kolmogorov AN. On the representation of continuous functions of several variables as a superposition of continuous functions of one variable. Doklady Akademii nauk SSSR. 1957;114(5):953–956. (In Russ).
  18. Arzamaszev AA, Kryuchin OV, Azarova PA, Zenkova NA. The universal program complex for computer simulation on the basis of the artificial neuron network with self-organizing structure. Tambov University Reports. Series: Natural and Technical Sciences. 2006;11(4):564–570. EDN: IRMPYX
  19. Arzamastsev AA, Zenkova NA, Kazakov NA. Algorithms and methods for extracting knowledge about objects defined by arrays of empirical data using ANN models. Journal of Physics: Conference Series. 2021. doi: 10.1088/1742-6596/1902/1/012097

Arquivos suplementares

Arquivos suplementares
Ação
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.

Baixar (531KB)
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%.

Baixar (129KB)
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%.

Baixar (108KB)
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%.

Baixar (102KB)

Declaração de direitos autorais © Eco-Vector, 2024

Creative Commons License
Este artigo é disponível sob a Licença Creative Commons Atribuição–NãoComercial–SemDerivações 4.0 Internacional.

Este site utiliza cookies

Ao continuar usando nosso site, você concorda com o procedimento de cookies que mantêm o site funcionando normalmente.

Informação sobre cookies