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Cataract & Anterior Segment

IOL Power Calculation in Eyes with Corneal Ectasia

1. IOL Power Calculation in Corneal Ectasia

Section titled “1. IOL Power Calculation in Corneal Ectasia”

Corneal ectasia is a multifactorial condition in which the cornea progressively steepens and thins. The most common corneal ectasia is keratoconus, but it can also occur after excimer laser surgeries such as LASIK and PRK, radial keratotomy, and small incision lenticule extraction (SMILE).

Progression of corneal ectasia induces myopia and irregular astigmatism. Because corneal power varies greatly within a small area, IOL power calculation becomes significantly more difficult than in normal eyes 1). The main reasons are the following two points.

  • Inaccuracy of corneal power (K value): The cornea is steep and the apex is decentered, making it difficult to obtain accurate values with standard keratometry.
  • Difficulty in predicting effective lens position (ELP): Formulas that estimate ELP from corneal curvature have larger prediction errors due to changes in anterior chamber depth in ectatic eyes 1).

When standard IOL formulas are used, keratoconic eyes tend to have hyperopic surprise postoperatively. Therefore, the use of keratoconus-specific formulas is recommended 1).

Q Can cataract surgery be performed even with keratoconus?
A

Cataract surgery can be performed even in the presence of corneal ectasia. However, because the accuracy of IOL power calculation decreases, specialized formulas and detailed examination using corneal tomography are necessary 1). Preoperative confirmation of corneal stability is a prerequisite.

Visual symptoms associated with corneal ectasia include the following:

  • Frequent changes in eyeglass prescription: Due to unstable refractive power, prescription changes are repeated. In the early stage, correction is possible, but as it progresses, correction becomes difficult.
  • Poor vision in one eye: Often there is a large difference between the eyes, and the patient only notices poor vision when the better eye is covered.
  • Decreased visual acuity: Caused by irregular astigmatism and corneal opacity. When combined with cataracts, it is important to differentiate the cause.
  • Ghost images and glare: May be accompanied by visual disturbances due to higher-order aberrations.

Clinical findings of corneal ectasia are evaluated by corneal topography and tomography.

  • Inferior steepening: Increased curvature in the inferior cornea is a characteristic finding.
  • Superior flattening: Observed in contrast to inferior steepening.
  • Deviation of the radial axis: Presents as a shift in the radial axis on the power map.
  • Abnormal protrusion of the anterior and posterior surfaces: Abnormal protrusion is observed on the elevation map.
  • Corneal thinning: Accompanied by a decrease in corneal thickness in the central to inferior area.

Since visual function cannot be fully assessed by corrected visual acuity alone, comprehensive evaluation including corneal topography and tomography is necessary.

The difficulty in calculating intraocular lens power is mainly attributed to the following three factors 1).

Corneal Refractive Power (Keratometry) Errors

Section titled “Corneal Refractive Power (Keratometry) Errors”
  • Measurement of only the anterior corneal surface: Manual keratometers, automated keratometers, and topography measure only the anterior corneal surface and assign a fixed value to the posterior curvature. In eyes with ectasia, the anterior-to-posterior curvature ratio differs from normal eyes, making this assumption inaccurate 1).
  • Eccentric steep corneal apex: If the corneal apex is not on the visual axis, the K value measured there may not be appropriate for calculation.
  • Distortion of Purkinje images: In manual keratometry, distortion of Purkinje images due to ectasia reduces measurement reliability.

Prediction Errors of Effective Lens Position

Section titled “Prediction Errors of Effective Lens Position”

Third- and fourth-generation intraocular lens formulas, except for the Haigis formula, use corneal refractive power to calculate the predicted postoperative anterior chamber depth. In eyes with corneal flattening (after myopic LASIK) or steepening (ectasia), underestimation or overestimation of the effective lens position occurs 1).

Ectatic eyes tend to have long axial lengths and deep anterior chambers. Ultrasound biometry is inaccurate; optical biometry, which allows measurement along the visual axis, is recommended.

Q Why do standard intraocular lens formulas not yield accurate results?
A

Standard formulas assume a normal corneal shape. In eyes with ectasia, the curvature ratio of the anterior and posterior corneal surfaces changes, making the K value inaccurate. Furthermore, the algorithm that predicts the effective lens position from the K value also introduces errors, leading to postoperative hyperopia 1).

In patients with ectasia being considered for cataract surgery, manifest refraction is the first step. This allows the surgeon and patient to share an estimate of the expected postoperative outcome.

Hard contact lens over-refraction is useful for differentiating whether the cause of reduced vision is corneal or cataractous. If vision improves with a hard CL, the cause is corneal; if not, it is cataractous.

The accuracy of corneal refractive power measurement determines the success of intraocular lens calculation. The main measurement methods are shown below.

Measurement MethodMeasured SurfaceNotes
Manual/Automated KeratometerAnterior surface onlyCentral 3 mm; posterior surface is estimated
Corneal TopographyAnterior surface onlySlope → calculates elevation differences
Corneal tomographyAnterior + posteriorGold standard
  • Corneal tomography is the gold standard for calculating K values in ectatic eyes 1). It directly measures the elevation of the anterior and posterior corneal surfaces and calculates total corneal power.
  • Pentacam (Oculus): Acquires Scheimpflug images with a single rotating camera. True net power map and equivalent K values are useful.
  • Galilei (Ziemer): Integrates two rotating cameras and a Placido disk.

In keratoconus eyes, anterior corneal astigmatism is often with-the-rule, and posterior corneal astigmatism is often against-the-rule 1). It is recommended to evaluate anterior, posterior, and total corneal astigmatism 1). A cutoff of 1.8 D for anterior corneal astigmatism is useful for differentiating keratoconus from normal eyes, with reported sensitivity and specificity of 90.2% 1).

Optical biometry is recommended for axial length measurement. Representative devices are as follows.

  • IOLMaster (Carl Zeiss): Based on partial coherence interferometry. The latest version is equipped with swept-source optical coherence tomography.
  • Lenstar (Haag-Streit): Uses optical low-coherence reflectometry. It has the advantage of performing all measurements in a single scan. The Barrett Toric calculator is built-in.
Q Which map of corneal tomography should be used?
A

For Pentacam, the “True net power map” and “equivalent K value” are useful. The True net power map is calculated by assigning individual refractive indices to the anterior and posterior corneal surfaces. The equivalent K value allows checking K values in any zone from 1 to 7 mm, helping to select the K value used for intraocular lens calculation.

As a prerequisite for intraocular lens power calculation, confirmation of corneal stability is essential. Performing calculations on a progressing cornea will yield poor results.

  • Stability assessment: Perform corneal tomography three times at intervals of 3 to 6 months to rule out progressive ectasia.
  • Corneal cross-linking: In progressive ectasia, stabilization with cross-linking should be performed first 1).
  • Intracorneal rings: Intracorneal ring insertion is also an option as a stabilization procedure. Cross-linking or intracorneal rings improve postoperative visual prognosis 1).

Typically, keratoconus does not progress after age 50. However, pellucid marginal degeneration may continue to progress, so caution is required 1).

Selection of Intraocular Lens Calculation Formula

Section titled “Selection of Intraocular Lens Calculation Formula”

Dedicated Formulas (Recommended)

Barrett True-K keratoconus formula: Can use measured posterior corneal curvature. Shows good accuracy even in severe cases 1).

Kane keratoconus formula: A formula utilizing artificial intelligence (AI). Provides more accurate refractive target prediction than traditional formulas 1).

EVO 2.0 (using TK): Improved accuracy in moderate keratoconus 1).

Traditional Formulas

SRK/T: Shows the best performance among traditional formulas 1). However, it is inferior to dedicated formulas.

Others: Hoffer Q, Holladay 1 & 2, Haigis, etc., have a strong tendency toward hyperopic shift. Traditional formulas other than SRK/T are recommended to be avoided in keratoconic eyes 1).

In a systematic review, the mean absolute errors of each formula were reported as: Barrett Universal II 0.314D (82.1%), Haigis 0.346D (76.1%), Holladay 2 0.351D (69.1%), SRK/T 0.389D (71.3%), Hoffer Q 0.409D (63.3%), and Holladay 1 0.409D (62.0%) 1). The percentages in parentheses indicate the proportion within ±1.0D of the target refraction.

For keratoconus eyes with K value ≤55 D, a slightly myopic target (-0.5 D to -1.5 D) is recommended 1). This accounts for the risk of postoperative hyperopic shift. Similarly, a myopic target is recommended for eyes after radial keratotomy 1).

  • Monofocal IOL: Most widely used. It does not induce additional aberrations, making it the first choice for ectatic eyes.
  • Toric IOL: Effective for correcting regular astigmatism in stable keratoconus. Toric IOL implantation after microincision cataract surgery (MICS) is reported to be safe and effective 1). However, complete elimination of astigmatism cannot be expected, and note that toric contact lenses cannot be used postoperatively.
  • Multifocal IOL: Not recommended for ectatic eyes with high higher-order aberrations, as it induces further aberrations and degrades visual quality.

In Japanese clinical practice, the Double-K method, the OKLIKUS ray-tracing software from the anterior segment OCT (Tomey), the Calmellin-Calossi formula in IOL-Station (Nidek), and the Haigis-L formula are considered useful. The American Society of Cataract and Refractive Surgery (ASCRS) website provides a free IOL calculator that allows simultaneous comparison of multiple formulas. The Barrett True K formula, updated in 2015, also supports IOL power calculation after hyperopic LASIK and radial keratotomy.

Q Which formula should I use?
A

The Barrett True-K keratoconus formula and the Kane keratoconus formula are recommended 1). If traditional formulas must be used, SRK/T shows relatively good results. It is advisable to calculate with multiple formulas and compare the results.

Q Can a toric IOL be used?
A

It is useful for correcting regular astigmatism in cases with stable corneas 1). However, complete correction of irregular astigmatism is difficult, and toric contact lenses cannot be used postoperatively. It is not indicated for patients who plan to wear hard contact lenses 1).

6. Pathophysiology and Detailed Mechanisms

Section titled “6. Pathophysiology and Detailed Mechanisms”

This section explains in detail the mechanisms of intraocular lens power calculation errors.

Three Major Error Factors in IOL Calculation

Section titled “Three Major Error Factors in IOL Calculation”

The three basic measurements required for intraocular lens power calculation are axial length, corneal refractive power (K value), and effective lens position 1). In eyes with ectasia, errors can occur in all of these.

Section titled “Mechanisms of Errors Related to Corneal Refractive Power”

Total corneal refractive power is determined by the sum of the refractive powers of the anterior and posterior corneal surfaces. Standard keratometry and topography measure only the anterior corneal surface and use a corneal refractive index of 1.3375 to estimate the posterior curvature. In normal eyes, this approximation is valid because the ratio of anterior to posterior curvature is constant, but in ectatic eyes, the ratio changes, leading to errors 1).

  • After myopic laser vision correction (e.g., LASIK): The central cornea becomes flatter. The formula that calculates effective lens position from the K value assumes the IOL sits closer to the cornea than usual, leading to underestimation of lens power.
  • Ectatic eyes: The cornea becomes steeper. Overestimation of the K value leads to underestimation of IOL power, resulting in postoperative hyperopia 1). The larger the K value, the higher the risk of postoperative hyperopic error 1).

Special Characteristics of Astigmatism in Keratoconus

Section titled “Special Characteristics of Astigmatism in Keratoconus”

In keratoconic eyes, anterior corneal astigmatism is predominantly against-the-rule, while posterior corneal astigmatism is predominantly with-the-rule 1). Automated keratometers have been reported to have a bias of overcorrection for with-the-rule astigmatism and undercorrection for against-the-rule astigmatism.

IOL prediction accuracy is affected by the severity of keratoconus 1). In mild to moderate cases, newer formulas (e.g., EVO 2.0 TK) improve accuracy, but in advanced cases, performance is relatively low with any traditional formula 1). In advanced cases, the use of Barrett True-K or Kane keratoconus formulas is particularly recommended 1).

Severity classifications include the Amsler-Krumeich classification, Alio-Shabayek classification, and Belin ABCD grading system 1).


7. Latest Research and Future Prospects (Research-stage Reports)

Section titled “7. Latest Research and Future Prospects (Research-stage Reports)”

AI-Integrated Intraocular Lens Calculation Formulas

Section titled “AI-Integrated Intraocular Lens Calculation Formulas”

Development of intraocular lens calculation formulas utilizing artificial intelligence and machine learning, such as the Hill-RBF formula and Kane formula, is progressing. These analyze large datasets and build predictive models adapted to the anatomical and refractive characteristics of individual eyes. Improved accuracy has been reported, especially in eyes with abnormal axial length.

  • Pentacam AXL: A device that integrates corneal tomography with axial length measurement and intraocular lens calculation functions. It can perform tomography and biometry in a single unit.
  • Optovue Cornea Advance: Directly measures the curvature of the anterior and posterior corneal surfaces using optical coherence tomography technology to calculate corneal refractive power.

Although the superiority of formulas dedicated to keratoconus has been demonstrated, subgroup analysis by severity is limited by the number of cases1). Definitive conclusions require large-scale studies1). Advances in devices and IOL technology are improving the safety and predictability of calculations.


  1. European Society of Cataract and Refractive Surgeons (ESCRS). ESCRS Clinical Guidelines for Cataract Surgery. ESCRS; 2024.

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