Physica

01 Therapy

Ir-192 HDR decay

HDR source strength with T½ = 73.83 days.

Listen

Listen · English

Simulation

Ir-192 HDR decay — Change the numbers; the scene follows.

Where it works

Brachytherapy suite

Brachytherapy suite

Afterloader

In the afterloader safe: Ir-192 source strength and the dwell-time calculation start here.

Open this machine

Formula

SK(t)=SK0e(ln2)t/73.83S_K(t)=S_{K0}\,e^{-(\ln 2)\,t/73.83}

Variables

Results

  • S_K

    Current strength

    30,181.4U

  • DF

    Decay factor

    0.7545

  • per week

    Weekly loss

    6.36%

Explanation

SK(t)=SK0e(ln2)t/73.83S_K(t)=S_{K0}\,e^{-(\ln 2)\,t/73.83}

What it means

Ir-192 (HDR) has T½ = 73.83 days, so source strength drops ~6.4% per week. After-loaders require a decay table or live calculation before every fraction. Air-kerma strength S_K is in U (cGy cm² h⁻¹). This is a working relation in Radiotherapy.

Where it is used

Clinically it sits on the Brachytherapy suite — Afterloader. In the afterloader safe: Ir-192 source strength and the dwell-time calculation start here. 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.

Brachytherapy suite · Open this machine

How to use it

Enter S_K at a reference date and elapsed days. A 40 kU source is ~33 kU after 30 days. Pair with the TG-43 point-source calculator for a dwell dose. Change one input and watch the curve and the simulation follow.

Symbols

  • S_K0Air-kerma strength40,000 U
  • tElapsed time30 d

Worked example

A typical case from the default values: S_K0 = 40,000 U (Air-kerma strength); t = 30 d (Elapsed time). Substituting into the relation gives S_K = 30,181.4 U; DF = 0.7545; per week = 6.36 %. These are teaching numbers — align them with your machine.

Typical values give

  • S_K = 30,181.4U
  • DF = 0.7545
  • per week = 6.36%

Where it comes from

The displayed formula is the working relation. HDR source strength with T½ = 73.83 days. Usual reference: NNDC / TG-43. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: NNDC / TG-43

Assumptions & limits

Single exponential of Ir-192. Anisotropy, applicator attenuation and patient scatter belong in TG-43, not here.

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. Single exponential of Ir-192. Anisotropy, applicator attenuation and patient scatter belong in TG-43, not here.

Keep this

Name the SSD, energy, and field size with every PDD or TMR you quote. Single exponential of Ir-192. Anisotropy, applicator attenuation and patient scatter belong in TG-43, not here.

In this specialty

Radiotherapy