Radiopharmaceutical Dispensing Planner
This tool calculates the required volume to dispense a specified activity of a radiopharmaceutical at a given time, accounting for radioactive decay.
Required Volume: ml
How It Works
This calculator helps determine the required volume of a radiopharmaceutical based on its activity and the time elapsed since preparation, accounting for radioactive decay.
- Select the Radioisotope: Choose the isotope from the dropdown menu.
- Input Activity and Volume: Enter the initial activity (mCi) and volume (ml) of the prepared radiopharmaceutical.
- Preparation Date and Time: Specify when the radiopharmaceutical was prepared.
- Required Date and Time: Specify the time at which the activity is required.
- Required Activity: Enter the desired activity (mCi) to dispense.
- Calculation: Upon clicking "Calculate," the following occurs:
- Retrieve half-life of the selected isotope.
- Calculate decay constant: λ = ln(2) / t1/2.
- Calculate time difference between preparation time and required time.
- Determine initial concentration: C0 = A0 / V.
- Calculate decay-corrected concentration: C = C0 * e-λt.
- Calculate required volume: Vreq = Areq / C.
- Results: The required volume is displayed. If the decay-corrected concentration is zero or negative, the required volume is infinite, indicating the radiopharmaceutical is no longer viable.
This tool is for educational purposes only.