Physica

01 Therapy

RTOG conformity index

CI = V_RI / TV. Ideal = 1. Paddick CI also accounts for overlap.

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Simulation

RTOG conformity index — Change the numbers; the scene follows.

Where it works

Linear accelerator

Linear accelerator

Isocenter

At isocenter, on the central axis through the patient (or a phantom in the same place).

Open this machine

Formula

CIRTOG=VRITV,CIPaddick=(TVPIV)2TVPIV\mathrm{CI}_{\mathrm{RTOG}}=\frac{V_{\mathrm{RI}}}{TV},\quad \mathrm{CI}_{\mathrm{Paddick}}=\frac{(TV_{PIV})^2}{TV\cdot PIV}

Variables

Results

  • CI_RTOG

    RTOG conformity

    1.2

  • CI_Paddick

    Paddick conformity

    0.7521

Explanation

CIRTOG=VRITV,CIPaddick=(TVPIV)2TVPIV\mathrm{CI}_{\mathrm{RTOG}}=\frac{V_{\mathrm{RI}}}{TV},\quad \mathrm{CI}_{\mathrm{Paddick}}=\frac{(TV_{PIV})^2}{TV\cdot PIV}

What it means

Conformity asks how tightly the prescription isodose hugs the target. RTOG’s simple ratio V_RI / TV is 1 when they match in volume, but a sphere of prescription dose sitting next to the target still scores 1. Paddick’s index (already in the library) multiplies by the overlap squared and is the SRS/SBRT reporting standard. This is a working relation in Radiotherapy.

Where it is used

Clinically it sits on the Linear accelerator — Isocenter. At isocenter, on the central axis through the patient (or a phantom in the same place). Radiotherapy equations sit at the console and in the bunker: output, depth dose, equivalent square, and the monitor units that treat the patient. Hand-calc them beside the TPS, never instead of a commissioned plan.

Linear accelerator · Open this machine

How to use it

Enter prescription-isodose volume V_RI (cm³) and target volume TV. Optionally the overlapping volume TV_PIV to also get Paddick CI. RTOG: <1.2 is often per-protocol for SRS; 1.2–1.5 is acceptable variation. Change one input and watch the curve and the simulation follow.

Symbols

  • V_RIPrescription isodose volume12 cm³
  • TVTarget volume10 cm³
  • TV_PIVTarget ∩ PIV9.5 cm³

Worked example

A typical case from the default values: V_RI = 12 cm³ (Prescription isodose volume); TV = 10 cm³ (Target volume); TV_PIV = 9.5 cm³ (Target ∩ PIV). Substituting into the relation gives CI_RTOG = 1.2; CI_Paddick = 0.7521. These are teaching numbers — align them with your machine.

Typical values give

  • CI_RTOG = 1.2
  • CI_Paddick = 0.7521

Where it comes from

The displayed formula is the working relation. CI = V_RI / TV. Ideal = 1. Paddick CI also accounts for overlap. Usual reference: RTOG 90-05 / Paddick 2000. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: RTOG 90-05 / Paddick 2000

Assumptions & limits

Volumes from a TPS DVH; interpolation of the isodose surface matters at small targets. Does not describe gradient or homogeneity — report GI and HI alongside.

Pitfalls

Never mix PDD from one SSD with TMR from another without converting. Field size at the surface is not the size at isocentre. A hand MU is a check, not a treatment. Volumes from a TPS DVH; interpolation of the isodose surface matters at small targets. Does not describe gradient or homogeneity — report GI and HI alongside.

Keep this

Name the SSD, energy, and field size with every PDD or TMR you quote. Volumes from a TPS DVH; interpolation of the isodose surface matters at small targets. Does not describe gradient or homogeneity — report GI and HI alongside.

In this specialty

Radiotherapy