Plan quality

Homogeneity Index

A single number describing how uniform the dose is inside the target. Several formulas are in use, so a value means little until you know which one produced it.

What is it?

A homogeneity index compares the high end of the dose inside the target with the low end. If every point in the target received exactly the same dose, the high and low ends would be equal.

Three formulas turn up most often:

  • ICRU Report 83: (D2% − D98%) ÷ D50% — the spread between the near-maximum and near-minimum doses, divided by the median dose. 0 is perfectly uniform; higher values are less uniform. A related version divides by the prescription dose instead of D50%.
  • D5% ÷ D95% — the dose to the hottest 5% of the target over the dose to 95% of it. 1 is perfectly uniform. The NRG brain SRS template uses this ratio and calls it the heterogeneity index.
  • RTOG (1993): the maximum isodose in the target divided by the reference (prescription) isodose. 1 means the target maximum equals the prescription.

Why does it matter?

How uniform the target dose should be depends on the treatment. Conventionally fractionated IMRT and VMAT plans usually aim for a uniform dose across the PTV, and the homogeneity index gives that one number to track.

Stereotactic plans are often deliberately heterogeneous. The NRG lung SBRT template, for example, describes a dose distribution with the hotspot in the central region of the GTV and asks inverse-planned cases to mimic that. In radiosurgery the RTOG index is effectively a measure of how far the maximum dose rises above the prescription. A "poor" homogeneity index there may be exactly what was intended.

The ICRU version uses D2% and D98% rather than the true maximum and minimum because single-point doses depend on the calculation grid size and placement and are not reliable on their own.

How is it evaluated?

  1. Display the PTV's dose-volume histogram.
  2. Read the doses the formula needs — for the ICRU version D2%, D98% and D50%; for the ratio version D5% and D95%.
  3. Calculate the index, and record which formula you used.

Every one of these formulas is built from two or three points on the DVH, so it cannot show where in the target the hot or cold regions are. Check the isodose lines slice by slice as well, especially near organs at risk.

Acceptable values are protocol- and technique-specific. DoseLab does not reproduce them; use the original protocol.

The Homogeneity Index Calculator works out all three versions side by side from the DVH doses you enter.

Example

HIICRU 83 = (D2% − D98%) ÷ D50%  ideal 0
HI = D5% ÷ D95%  ideal 1
HIRTOG = Imax ÷ RI  ideal 1
100%0VolumeDose →D98%D50%D2%steep: uniform dosesloping:less uniform
Schematic target DVHs. The further apart D2% and D98% sit, the less uniform the dose and the higher the ICRU 83 index.

Illustrative numbers only. A PTV DVH reads D2% = 63.0 Gy, D50% = 60.5 Gy and D98% = 57.0 Gy. The ICRU 83 index is (63.0 − 57.0) ÷ 60.5 ≈ 0.10. A plan with D2% = 65.0 Gy and the same D98% and D50% scores (65.0 − 57.0) ÷ 60.5 ≈ 0.13 — less uniform.

Authoritative resources

Professional guidelineUnder Review
ICRU Report 83: Prescribing, Recording, and Reporting Photon-Beam Intensity-Modulated Radiation Therapy (IMRT)
DeLuca P, Jones D, Gahbauer R, et al. · International Commission on Radiation Units and Measurements (ICRU) · 2010

ICRU report on prescribing, recording and reporting intensity-modulated photon therapy. DoseLab has not read the report itself (it is sold by the ICRU). Its homogeneity index, (D2% − D98%) / D50%, is checked as quoted in the open-access Yan 2019 paper.

Planning studySource Verified

Proposes a new homogeneity index. Its introduction lists the indices in use — Dmax/Dp, D5/D95, (D2 − D98)/Dp and the ICRU Report 83 version (D2 − D98)/D50 — notes that lower values of the last two mean a more homogeneous dose, and that each is based on only two or three points of the DVH. Full text read in Europe PMC (PMC6839365).

Planning studySource Verified
Homogeneity Index: An objective tool for assessment of conformal radiation treatments
Kataria T, Sharma K, Subramani V, Karrthick KP, Bisht SS · 2012

Retrospective study of 99 plans comparing five homogeneity index formulas. Its introduction summarizes the RTOG index (maximum isodose in the target ÷ reference isodose), D5%/D95%, and (D2% − D98%) ÷ prescribed dose, and explains that D2% and D98% are used because true point maximum and minimum doses are sensitive to calculation grid size and placement. Full text read in Europe PMC (PMC3532749).

Professional guidelineUnder Review
Radiation Therapy Oncology Group: radiosurgery quality assurance guidelines
Shaw E, Kline R, Gillin M, et al. · Radiation Therapy Oncology Group (RTOG) · 1993

RTOG task-force guidelines for radiosurgery quality assurance, setting out a standard data set and minor and major protocol deviations. The paper itself is paywalled; DoseLab checked its conformity, coverage and homogeneity definitions as quoted in Kataria 2012 and Menon 2018. Citation checked against Crossref.

Clinical resourceSource Verified
NRG Oncology Protocol Development Template for Radiation Therapy — Brain: SRS
Cui Y, Ogunleye T, Kirkpatrick J, Xiao Y, Sperduto P, et al. · NRG Oncology Medical Physics Subcommittee / Radiation Oncology Committee · 2016

The NRG Oncology template for the radiation section of a brain radiosurgery trial. Its example text asks for CT slices of 1.25 mm or less, strongly encourages MRI (contrast T1 and a 3D gradient-echo sequence) for target delineation, recommends fusing FDG-PET/CT when available, and asks that the fusion be done by a medical physicist and reviewed by the attending physician. Its plan-evaluation section defines the conformity index (CI, or R100%) as the prescription isodose volume ÷ PTV volume, R50% as the 50% prescription isodose volume ÷ target volume ("R50% defines dose falloff outside the target"), a heterogeneity index D5% ÷ D95%, and coverage as the PTV volume receiving the prescription dose ÷ PTV volume, and notes that criteria such as the CI should account for target size and treatment technology.

Clinical resourceSource Verified
NRG Oncology Protocol Development Template for Radiation Therapy — Lung: SBRT
Matuszak M, Chetty I, Robinson C, Weldon M, Timmerman R · NRG Oncology Medical Physics Subcommittee / Radiation Oncology Committee · 2016

The template NRG Oncology gives investigators for writing the radiation section of a lung SBRT trial. Its imaging section allows PET/CT or MRI for structure definition, asks that the images be registered accurately to the planning scan (following AAPM TG-132 for deformable registration), notes that PET may be needed to separate tumor from atelectasis or fibrosis, and suggests an extra margin when a fused image is the primary image for the GTV. Its target and planning sections (5.2.4 and 5.2.6–5.2.8) define the plan-quality measures for lung SBRT trials: the prescription as the dose covering 95% of the PTV, a D99% requirement, R100% (prescription isodose volume ÷ PTV), R50% (50% prescription isodose volume ÷ PTV) and D2cm (maximum dose at 2 cm from the PTV in any direction, as a percentage of the prescription), with a table of allowable dose spillage by PTV volume. It describes a 20 mm PTV expansion structure used to control intermediate dose spillage, asks that dose above 105% of prescription be avoided outside the PTV, describes a deliberately heterogeneous dose with the hotspot in the central GTV, defines the maximum dose on a 0.03 cc volume, and ranks planning priorities when target coverage and organ limits conflict.

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