ArticleEye and vision (London, England)2023
The Zhu-Lu formula: a machine learning-based intraocular lens power calculation formula for highly myopic eyes.
Article in Eye and vision (London, England), 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers, 2 of them syntheses that pooled it.
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Who cites it
13 citing papers in PubMed, 2 syntheses or guidelines pooled it.
- Artificial intelligence in pathologic myopia: a review of clinical research studies.Frontiers in medicine · 2025Pooled it
- The accuracy of intraocular lens power calculation formulas based on artificial intelligence in highly myopic eyes: a systematic review and network meta-analysis.Frontiers in public health · 2023Pooled it
- Accuracy of twelve intraocular lens calculation formulas in highly myopic eyes.International ophthalmology · 2026Article
- The influence of keratometry on the accuracy of intraocular lens formulas in highly myopic eyes.BMC ophthalmology · 2026Article
- An explainable machine learning framework for accurate prediction of postoperative anterior chamber depth in highly myopic cataract surgery.Frontiers in cell and developmental biology · 2026Article
- Research on refractive power calculation formula of intraocular lens based on the principle of double thick lens imaging.Frontiers in medicine · 2026Article
- Comparative evaluation of traditional and AI-based intraocular lens power calculation formulas in highly myopic eyes.BMC ophthalmology · 2025Article
- Innovations in Intraocular Lens Power Calculation-A Review.Journal of clinical medicine · 2025Review
- Advanced Artificial-Intelligence-Based Jiang Formula for Intraocular Lens Power in Congenital Ectopia Lentis.Translational vision science & technology · 2025Article
- Intraocular lens calculation for cataract surgery in high myopia: a case report of an extreme axial eyeball length of 35.7 mm.Frontiers in medicine · 2025Article
- Prediction of Seven Artificial Intelligence-Based Intraocular Lens Power Calculation Formulas in Medium-Long Caucasian Eyes.Life (Basel, Switzerland) · 2025Article
- A Review of Intraocular Lens Power Calculation Formulas Based on Artificial Intelligence.Journal of clinical medicine · 2024Review
- Shaping the future of myopia with artificial intelligence: Mapping trends and promising directions.Advances in ophthalmology practice and researchArticle
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Authors and funding
10 authors.
Funding
Abstract
backgroundTo develop a novel machine learning-based intraocular lens (IOL) power calculation formula for highly myopic eyes.
methodsA total of 1828 eyes (from 1828 highly myopic patients) undergoing cataract surgery in our hospital were used as the internal dataset, and 151 eyes from 151 highly myopic patients from two other hospitals were used as external test dataset. The Zhu-Lu formula was developed based on the eXtreme Gradient Boosting and the support vector regression algorithms. Its accuracy was compared in the internal and external test datasets with the Barrett Universal II (BUII), Emmetropia Verifying Optical (EVO) 2.0, Kane, Pearl-DGS and Radial Basis Function (RBF) 3.0 formulas.
resultsIn the internal test dataset, the Zhu-Lu, RBF 3.0 and BUII ranked top three from low to high taking into account standard deviations (SDs) of prediction errors (PEs). The Zhu-Lu and RBF 3.0 showed significantly lower median absolute errors (MedAEs) than the other formulas (all P < 0.05). In the external test dataset, the Zhu-Lu, Kane and EVO 2.0 ranked top three from low to high considering SDs of PEs. The Zhu-Lu formula showed a comparable MedAE with BUII and EVO 2.0 but significantly lower than Kane, Pearl-DGS and RBF 3.0 (all P < 0.05). The Zhu-Lu formula ranked first regarding the percentages of eyes within ± 0.50 D of the PE in both test datasets (internal: 80.61%; external: 72.85%). In the axial length subgroup analysis, the PE of the Zhu-Lu stayed stably close to zero in all subgroups.
conclusionsThe novel IOL power calculation formula for highly myopic eyes demonstrated improved and stable predictive accuracy compared with other artificial intelligence-based formulas.
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