Mathematical Modeling of IOL Power Changes After Pupil Dilation Based on Multifactorial Analysis

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Purpose This study aimed to explore the factors affecting the changes in intraocular lens (IOL) power after pupil dilation in patients with age‐related cataract and to construct linear regression models. Methods A total of 167 patients with age of 66.47 ± 8.63 (years) were included in this study to evaluate whether pupil dilation led to significant changes in axial length (AL), corneal curvature (K), central anterior chamber depth (ACD), central corneal thickness (CCT), lens thickness (LT), white‐to‐white corneal diameter (WTW), relative lens position (RLP), and the values of IOL power predicted using different formulas. Pearson linear correlation analysis was performed between dilation‐induced IOL power changes (ΔIOL) and other changes in ocular parameters (ΔAL, ΔK, ΔACD, ΔCCT, ΔLT, ΔWTW, and ΔRLP), after which regression models were established using ΔIOL and its correlates. Results For each formula, a prediction model of ΔIOL was established using the regression coefficients: ΔIOL Haigis = 0.06 − 3.381 ΔAL − 1.335 ΔK; ΔIOL Hoffer-Q = −3.547 ΔAL − 1.318 Δ K ; ΔIOL SRK-T = −3.105 ΔAL − 1.019 Δ K ; ΔIOL Holladay-1 = −3.697 ΔAL − 1.276 Δ K ; ΔIOL Holladay-2 = 0.099 − 3.484 ΔAL − 1.235 Δ K − 0.279 ΔWTW; ΔIOL Barrett-II = 0.071 − 3.702 ΔAL − 1.147 Δ K + 0.069 ΔWTW. Conclusion Multivariate mathematical models of ΔIOL suggest that IOL power changes are mainly related to the changes in AL and K and that the values of ΔAL, Δ K , and ΔWTW can be used to predict ΔIOL that is calculated by various formulas. Trail Registration: Chinese Registry of Clinical Trials: ChiCTR2200056856