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Calculation of Urinary Radioiodine Excretion
Yook Cc.

Ng

Lawrence Radiation Laboratory, University of California
Livermore, California

Radioiodine appearing in urine, except for that during a relatively
short period following exposure, originates from the thyroid.
[In the calculation for urinary radioiodine it was assumed that iodine is released from the
thyroid only as thyroxine, and that the release of thyroxine and its subsequent
degradation in the extrathyroidal hormonal space can be adequately described
assuming first order kinetics.
Ranges for normal biological half-life of
iodine in the thyroid and normal turnover rate of extrathyroidal thyroxine
were selected from the best available data in the literature.
The uptake of
radioiodine was assumed to be exponential with a half-period of increase of
4.5 hours, and 60% of the iodine released when extrathyroidal thyroxine is
degraded was assumed to be excreted in urine.

Rates of urinary radioiodine excretion were calculated from the resulting expression shown below.

dr, at

0. 60LKI,..

oe” (K + A)t_i-(L + rt
L- kK

-

eo J +K + At _o-@ +)t
L- J- kK

Ly

= radioiodine content of urine

L

= rate of turnover of extrathyroidal thyroxine

K

= rate constant for the release of iodine from the thyroid

In¢ = peak radioiodine content of the thyroid
»

+
== physical
decay constant for 131 I

J

= rate constant for the uptake of radioiodine in the thyroid

t

= time

A summary of the calculations made to determine’ the normal range of
urinary radioiodine excretion at 15 days appears below.

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