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Related Experiment Video

Updated: Jun 27, 2026

Synthesis of Soft Polysiloxane-urea Elastomers for Intraocular Lens Application
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Simplification of a Three-Constant Intraocular Lens Calculation Formula to a Single-Constant Approach: The Haigis

Achim Langenbucher1, Nóra Szentmáry1,2, Alan Cayless3

  • 1Department of Experimental Ophthalmology, Saarland University, 66424 Homburg, Germany.

Diagnostics (Basel, Switzerland)
|June 26, 2026
PubMed
Summary
This summary is machine-generated.

A simplified Haigis intraocular lens (IOL) formula with a single constant and optimized keratometer index maintains prediction accuracy. This modification aids clinical implementation for better refractive outcomes.

Keywords:
Haigis formulabiometrycataract surgeryformula optimizationintraocular lens

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Area of Science:

  • Ophthalmology
  • Biomedical Engineering
  • Optical Engineering

Background:

  • The Haigis formula is a widely used method for intraocular lens (IOL) power calculation.
  • It utilizes a three-constant effective lens position (ELP) model.
  • Simplification could improve clinical utility and accuracy.

Purpose of the Study:

  • To develop and validate a simplified Haigis IOL power calculation formula.
  • The modification aims to reduce the ELP model to a single constant.
  • Inclusion of an optimized keratometer index and axial length correction is proposed.

Main Methods:

  • Retrospective analysis of a large multicentric dataset (Dataset 1: 22,466 eyes, 113 IOL models).
  • Optimization of Haigis constants and keratometer index using nonlinear programming with Cooke's axial length correction.
  • Cross-validation on an independent dataset (Dataset 2: 3181 eyes, 6 IOL models) comparing classical Haigis, modified triplet, and two single-constant models (H1, H2).

Main Results:

  • An optimized keratometer index (1.3296 ± 0.0003) was derived, significantly lower than the classical value.
  • Single-constant models (H1 and H2) demonstrated comparable or reduced prediction errors versus the classical Haigis formula.
  • The H1 approach (single constant acting on IOL power) showed marginally superior performance; parameter stability was confirmed via bootstrapping.

Conclusions:

  • A single-constant modification of the Haigis formula is feasible.
  • Incorporating an optimized keratometer index and axial length correction maintains prediction accuracy.
  • The simplified formula offers easier clinical implementation for intraocular lens power calculation.