NMD-34

Effective decay

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Nuclear medicineeffective λ

Governing equation

\\lambda_e=\\lambda_p+\\lambda_b

where

\lambda_p: Physical (1/h)
\lambda_b: Biological (1/h)
\lambda_e: λe (1/h)

Lecture brief

Historical brief

MIRD schema, in-vivo decay, uptake fractions and PET coincidence turned unsealed sources into organ dose. The sheets compute activity, residence and well-counter geometry. This sheet (NMD-34 — Effective decay) is the form associated with effective λ. Working symbols: $\lambda_p$ , $\lambda_b$ $\rightarrow$ $\lambda_e$ . Clearance plus physics.

Purpose

Purpose: compute

\lambda_e

from

\lambda_p

\lambda_b

in Nuclear medicine via

\\lambda_e=\\lambda_p+\\lambda_b

Clearance plus physics. Use it when a real nuclear medicine question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

\lambda_p = 0.115\,\mathrm{1/h}

\lambda_b = 0.050\,\mathrm{1/h}

, the governing relation

\\lambda_e=\\lambda_p+\\lambda_b

yields

\lambda_e = 0.1650\,\mathrm{1/h}

. Clearance plus physics. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Physical \lambda_p0.115 1/hBiological \lambda_b0.05 1/h

Outputs

λe \lambda_e0.1650 1/h

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