Defines the gradient index (GI) as the ratio of the volume of half the prescription isodose to the volume of the prescription isodose — for a plan normalized to the 50% isodose line, the 25% isodose volume over the 50% isodose volume. The authors use it to compare plans of equal conformity, to explore prescription isodoses and to compare treatment modalities. Definition read in the abstract (Europe PMC); citation checked against Crossref.
Gradient Index
The volume receiving half the prescription dose divided by the volume receiving the full prescription dose — Paddick's measure of how steeply dose falls off outside the target.
What is it?
The gradient index compares two isodose volumes from the same plan: the volume enclosed by half the prescription dose, and the volume enclosed by the full prescription dose. Paddick and Lippitz proposed it in 2006 as the ratio of the first to the second.
"Half the prescription dose" is relative to the prescription, not the plan maximum. The authors give the example of a plan normalized to the 50% isodose line: there, the gradient index is the 25% isodose volume divided by the 50% isodose volume.
A lower value means the half-prescription isodose sits closer to the prescription isodose — a steeper fall-off.
Why does it matter?
The steep dose fall-off outside the target is one of the things that makes radiosurgery possible. A conformity index only describes the prescription isodose; two plans can be equally conformal and still spread very different amounts of intermediate dose into the surrounding tissue. Paddick and Lippitz designed the gradient index to tell such plans apart — to compare rival plans, choose a prescription isodose and compare treatment techniques. ICRU Report 91 recommends it for reporting stereotactic plans.
The gradient index and R50% share a numerator — the 50% prescription isodose volume — but divide by different things. R50% divides by the PTV volume, the gradient index by the prescription isodose volume. So R50% = GI × (prescription isodose volume ÷ PTV volume): when the prescription isodose matches the PTV volume exactly, the two numbers are the same. R50% therefore mixes conformity and fall-off in one number, while the gradient index looks only at the fall-off beyond the prescription isodose.
How is it evaluated?
- Convert the prescription isodose to a structure and read its volume.
- Convert the isodose at half the prescription dose to a structure and read its volume.
- Divide the second by the first.
Because the measure is a ratio of two isodose volumes, it does not need a target contour, and it does not say where the fall-off is shallow — read the isodose lines slice by slice for that. Where the half-prescription clouds of neighboring targets merge, a single-target gradient index can no longer be calculated cleanly.
Acceptable values depend on the protocol, the technique and the target. DoseLab does not reproduce them; use the original source.
The Conformity Index Calculator works out the gradient index alongside R50% and the conformity indices.
Example
Illustrative numbers only. Two plans for the same target both have a prescription isodose of 30 cc. In plan A the half-prescription isodose encloses 105 cc, so GI = 105 ÷ 30 = 3.5. In plan B it encloses 135 cc, so GI = 4.5. The conformity is the same, but plan A's dose falls off more steeply.
Authoritative resources
Retrospective evaluation of SRS/SRT plan-quality metrics for arteriovenous malformations. Its methods section defines each metric: the RTOG conformity index (prescription isodose volume ÷ target volume; ideal 1), RTOG quality of coverage and homogeneity index, and the Paddick conformity index as the product of the under-treatment ratio (share of the target covered) and over-treatment ratio (share of the prescription isodose volume inside the target), noting that ICRU Report 91 recommends the Paddick conformity and gradient indices for reporting stereotactic plans. Full text read in Europe PMC (PMC6299748); citation checked against Crossref.
ICRU report on prescribing, recording and reporting stereotactic treatments delivered with small photon beams. DoseLab has not read the report itself. Its recommendation of the Paddick conformity index and the Paddick gradient index for reporting stereotactic plans is checked as quoted in the open-access Menon 2018 paper. Citation as given in the DEGRO/DGMP statement on the report (Wilke 2019, Strahlenther Onkol).
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.
TPS guidance
Step-by-step guidance planned. Added only once verified.
Step-by-step guidance planned. Added only once verified.