ClinicalTrials.gg
Not yet recruitingNCT07724795FORMULEX-OVUpdated Jul 24, 2026

IOL Power Formula Prediction Accuracy at the Extremes of Axial Length: A Prospective Outcome Verification Study

An observational study in Pseudophakia and Refractive Error, sponsored by Vienna Hospital Association. Not yet recruiting at 1 site in Austria. Per ClinicalTrials.gov, last updated 2026-07-24.

Sponsored by Vienna Hospital Association · Observational

Study type
Observational
Model
Cohort
Time perspective
Prospective
Enrollment
200
Sex
All
01

Study summary

This single-center, prospective, cross-sectional study evaluates how accurately eight modern intraocular lens (IOL) power calculation formulas predicted the postoperative refractive result in eyes with extreme axial length after cataract surgery. Patients previously operated at the study center who had a very short (axial length \< 22.0 mm) or very long (> 26.0 mm) eye and received a spherical monofocal IOL are invited to a single, non-invasive outcome visit. At this visit, standardized manifest refraction, optical biometry, corneal tomography, slit-lamp examination and, in long eyes, macular OCT are performed. The measured postoperative spherical equivalent is compared with the residual refraction that each of the eight formulas had predicted for the actually implanted IOL power, separately in short and long eyes. The study aims to identify which formula predicts the postoperative outcome most accurately at the extremes of axial length, where formula choice is most consequential and least well studied.

Read the detailed description

Modern IOL power formulas achieve high refractive predictability in average-length eyes but deteriorate at the extremes of axial length, where effective lens position modelling diverges most between formulas. A preceding retrospective study at this center quantified the formula-dependent variability of IOL power recommendations at the axial length extremes using fully standardized biometric inputs; however, planning discrepancy alone does not indicate which formula's recommendation yields the better clinical outcome. This prospective outcome verification study closes that gap by linking a standardized postoperative assessment to the pre-existing, pseudonymized preoperative planning dataset.

Design: single-center, prospective, cross-sectional, observational (paired within-eye) study. From the retrospective source cohort (approximately 927 short and 769 long eyes; approximately 1,000-1,200 patients; index surgeries January 2022-December 2025), a stratified random sample of 200 patients is drawn (110 short stratum, 90 long stratum; 55:45 ratio) and invited to a single outcome visit. Each eligible eye contributes up to eight paired, formula-specific prediction errors that differ only by the calculation formula, while the postoperative reference (manifest refraction) and all preoperative inputs are held constant. Eyes are stratified a priori into a short (AL \< 22.0 mm) and a long (AL > 26.0 mm) stratum and analyzed separately.

Formulas evaluated: Barrett Universal II, Cooke K6, EVO 2.0, Hill-RBF 3.0, Hoffer QST, Kane and PEARL-DGS (via the ESCRS IOL calculator), and the stand-alone Ladas Super Formula 2.0.

Outcome visit (single visit, all non-invasive standard ophthalmic techniques, no study-mandated therapy, medication or surgery): uncorrected and best-corrected distance visual acuity, IOLMaster 700 optical biometry, CASIA2 and Pentacam AXL corneal tomography, autorefraction and standardized subjective manifest refraction (primary outcome measure), slit-lamp examination with posterior capsule opacification grading, and macular OCT (obligatory in the long stratum, recommended in the short stratum).

Primary analysis: for each formula, the spherical equivalent prediction error (SE-PE = measured postoperative spherical equivalent minus the residual spherical equivalent predicted for the actually implanted IOL power step) is computed and the absolute error (\|SE-PE\|) compared globally across the eight formulas using the Friedman test, with post-hoc pairwise Wilcoxon signed-rank tests (Holm-corrected, 28 formula pairs), separately in each axial length stratum. The primary accuracy metric per formula is the median absolute prediction error.

All data are processed in pseudonymized form and linked via a study ID and laterality, in accordance with the Declaration of Helsinki (2024), ICH-GCP, and the GDPR. The study is reported per STROBE and is registered on ClinicalTrials.gov prior to the start of recruitment.

02

Conditions studied

  • Pseudophakia
  • Refractive Error

Keywords

  • Intraocular lens power calculation
  • IOL formula
  • Axial length
  • Short eye
  • Long eye
03

In context

Pseudophakia

54 studies on the registry are indexed under Pseudophakia; 8 are open to participants now.

This study's planned enrollment of 200 is above the median of 71 across 26 observational studies indexed under Pseudophakia.

Browse Pseudophakia studies →

Lead sponsor

Vienna Hospital Association is the lead sponsor of 11 studies on the registry; 7 are open to participants now.

Counted across the registry records on this site, refreshed daily.

04

Who can participate

Ages eligible
Child (0–17), Adult (18–64), Older adult (65+)
Sexes eligible
All
Accepts healthy volunteers
No
Sampling method
Non-probability sample

Study population

Adults previously enrolled in the retrospective IOL power formula comparison study at the extremes of axial length at the study center, who underwent cataract surgery with a spherical (non-toric) monofocal IOL (HOYA Vivinex XY1, HOYA Vivinex Impress XY1-EM, or Johnson \& Johnson Tecnis 1-Piece DIB00) between January 2022 and December 2025, and whose preoperative axial length was below 22.0 mm or above 26.0 mm. A stratified random sample of 200 patients (110 short-eye, 90 long-eye) is drawn from this source cohort and invited to a single outcome visit.

Go through the criteria one by one — yes, no or not sure — and take the list to your doctor or the study team. Kept in this browser only.

Inclusion criteria

  • - Participation in the retrospective IOL power formula comparison study at the extremes of axial length (pseudonymized study ID assigned; complete preoperative biometry and archived formula outputs for all eight formula pathways)
  • Cataract surgery with a spherical (non-toric) IOL of one of the three reference models (HOYA Vivinex XY1, HOYA Vivinex Impress XY1-EM, or Johnson \& Johnson Tecnis 1-Piece DIB00) at the study center between January 2022 and December 2025
  • Preoperative axial length below 22.0 mm (short stratum) or above 26.0 mm (long stratum), measured on IOLMaster 700
  • Documented implanted IOL model and power available from the operative record
  • At least 3 months since cataract surgery at the time of the outcome visit
  • Written for the outcome visit, including linkage of newly acquired postoperative data with the previously collected, pseudonymized preoperative planning data

Exclusion criteria

Exclusion Criteria:

  • - Interval ocular surgery on the study eye since the original cataract surgery that may affect refraction or IOL position (e.g., corneal refractive surgery, IOL exchange or repositioning, secondary IOL implantation, or any intraocular surgery). Uncomplicated YAG laser capsulotomy without IOL repositioning is not an exclusion criterion
  • Implanted IOL not matching one of the three reference platforms (e.g., toric, multifocal or EDOF IOL, a different monofocal platform, or a sulcus-fixated IOL)
  • Toric IOL implantation
  • Acute ocular pathology preventing reliable refraction or biometric measurement
  • Cognitive or physical limitations precluding standardized subjective manifest refraction
  • Documented intraoperative complication with confirmed or suspected IOL malpositioning (e.g., posterior capsule rupture with vitreous loss, zonular dialysis requiring a capsular tension ring, sulcus placement)
  • Withdrawal of

Note: macular pathology is not an exclusion criterion; macular status is documented on OCT and analyzed as a covariate.

Terms in these criteria, in plain language(1)

Underlined terms in the criteria open these too. Explained by clinicaltrials.gg, not part of the registry record. The study team decides who can take part.

Informed consent

Before you join, the study team explains what taking part involves — its purpose, what happens, the risks and possible benefits — and answers your questions, so you can decide freely. Consent is usually recorded on a form (the informed consent form, ICF) signed by you or, where the law allows, by someone legally authorised to decide for you.

You can keep asking questions during the study, you are told of new information that matters, and you can choose to leave at any time.

05

Study design

Observational model
Cohort
Time perspective
Prospective
Enrollment
200 participants (estimated)
Target follow-up
6 Months
Patient registry
Yes

Groups and cohorts

  • Short axial length stratum (AL < 22.0 mm)

    Pseudophakic eyes with a preoperative axial length below 22.0 mm that received a spherical monofocal IOL. These eyes undergo the standardized postoperative outcome visit; the measured spherical equivalent is compared with each formula's prediction for the implanted IOL power.

    Diagnostic Test: Standardized postoperative outcome visit

  • Long axial length stratum (AL > 26.0 mm)

    Pseudophakic eyes with a preoperative axial length above 26.0 mm that received a spherical monofocal IOL. These eyes undergo the standardized postoperative outcome visit (including obligatory macular OCT); the measured spherical equivalent is compared with each formula's prediction for the implanted IOL power.

    Diagnostic Test: Standardized postoperative outcome visit

Interventions

  • Diagnostic testStandardized postoperative outcome visit

    A single, non-invasive multimodal assessment: uncorrected and best-corrected distance visual acuity, IOLMaster 700 optical biometry, CASIA2 and Pentacam AXL corneal tomography, autorefraction and subjective manifest refraction, slit-lamp examination with posterior capsule opacification grading, and macular OCT. No therapeutic intervention, medication or surgery is performed.

06

What researchers measure

Primary outcomes

  1. Spherical equivalent prediction error (SE-PE) across eight IOL power formulas, compared within each axial length stratum

    For each eye, SE-PE is calculated as the measured postoperative spherical equivalent (standardized manifest refraction) minus the residual spherical equivalent predicted by each formula for the actually implanted IOL power step. The absolute prediction error (\|SE-PE\|) is compared globally across the eight formulas (Barrett Universal II, Cooke K6, EVO 2.0, Hill-RBF 3.0, Hoffer QST, Kane, PEARL-DGS, Ladas Super Formula 2.0) using the Friedman test, with post-hoc pairwise Wilcoxon signed-rank tests (Holm-corrected, 28 formula pairs), performed separately in the short (AL \< 22.0 mm) and long (AL \> 26.0 mm) strata. The primary accuracy metric per formula is the median absolute prediction error (MedAE).

    Time frame: Single study visit, at least 3 months after cataract surgery

07

Study locations

1 site
  • Klinik Hietzing, Augenabteilung
    Vienna, State of Vienna 1130, Austria
08

References and documents

Individual participant data

Plan to share: No

No publications or documents are linked to this record.

09

Updates

Tracking since Sep 25, 2026
No changes since tracking began. The registry record was last updated on Jul 24, 2026, before this site started recording changes on Sep 25, 2026. Its history is on ClinicalTrials.gov ↗
10

Registry details

Key details

Study ID
NCT07724795
Lead sponsor
Vienna Hospital Association
Responsible party
Pia Veronika Vécsei-Marlovits (Head of the Department, Vienna Hospital Association) — Principal investigator
First posted
Jul 24, 2026
Start date
Aug 1, 2026 (estimated)
Primary completion
Jun 1, 2027 (estimated)
Completion
Jul 1, 2027 (estimated)
Last update
Jul 24, 2026

Study contacts

Michal Klimek, MD
Contact
klimek.michael@gmx.at
+436504607496

Oversight

Data monitoring committee
No
FDA-regulated drug
No
FDA-regulated device
No
View the source record on ClinicalTrials.gov ↗

Not currently enrolling

This study is not yet recruiting, as verified in Jul 2026. You cannot join it, but the record below documents what was studied.

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