Physical, biological and effective half-life
In short: Radioactivity in the body falls for two reasons at once: decay and elimination. Their combination is the effective half-life.
Two clocks
Physical half-life is fixed by the nucleus. Biological half-life describes how fast the body clears the compound, and it varies between people, organs and situations.
Combining them
For a single exponential process the effective half-life satisfies 1/T_eff = 1/T_phys + 1/T_bio, so it is always shorter than either. Real biology is rarely a single exponential, which is why measured data matter more than formulas.
Multi-phase clearance is often fitted with sums of exponentials. The choice of model and of imaging time points changes the time-integrated activity estimate, a known source of uncertainty in dosimetry studies.
Takeaways
- The formula above is a general physics relationship, not a patient calculation.
- Show physical half-lives as reference values
- Estimate biological or effective half-life for anyone
Glossary: Half-life (physical), Effective half-life
This lesson is general education. It does not interpret anyone’s images, results or treatment, and it is not medical advice.