Homogeneity Index Calculator

Enter doses read from the target's dose-volume histogram. Each homogeneity index appears as soon as the doses it needs are filled in, so you can see how the definitions compare for the same plan.

Educational SummaryAn original DoseLab explanation of a general concept. It teaches the idea; it is not a clinical recommendation.
Target DVH doses

Use the same unit for every dose (Gy, cGy or percent of prescription) — the indices have no units. Dx% is the minimum dose to the hottest x% of the target.

Prescription and maximum
Worked examples

Results

    Record which definition you used. The same plan gives different numbers under each, and they improve in different directions.

    How it works

    HIICRU 83 = (D2% − D98%) ÷ D50%  ideal 0
    HI = D5% ÷ D95%  ideal 1
    HIRTOG = Imax ÷ RI  ideal 1

    ICRU Report 83 divides the spread between the near-maximum and near-minimum doses by the median; a related version divides by the prescription dose instead (Kataria 2012). The D5% ÷ D95% ratio is the one the NRG brain SRS template calls the heterogeneity index. The RTOG index (Shaw 1993) divides the maximum isodose in the target by the reference (prescription) isodose.

    ICRU 83 uses D2% and D98% rather than the true maximum and minimum because single-point doses depend on the calculation grid. See Homogeneity Index for when uniformity is wanted and when it is not.

    What this calculator does not do

    • No pass or fail. Acceptable values are protocol- and technique-specific. Stereotactic plans are often deliberately heterogeneous — the NRG lung SBRT template describes a hotspot in the central GTV — so a "poor" index may be what was intended.
    • No location. Each index is built from two or three points on the DVH and cannot show where the hot or cold regions are. Check the isodose lines slice by slice, especially near organs at risk.

    Sources

    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).

    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.

    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.

    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.