APPENDIX

CALCULATION OF URINARY RADIOIODINE EXCRETION
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Yook C. Ng
Radioiodine appearing in urine, except for that during a relatively
short period following exposure, originates from the thyroid.

In the calcula-

tion 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 extrainyroida!
thyroxine were selected from the best available data in the literature.

The

uptake of radioiodine wac 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 inurine.
Rates of urinary radioiodine excretion were calculated from the resulting expression shownbelow.

aly; - 0.60 LKt
dt

°

e (K+ AM -(L +A)t - eI tK +A Qo Gt xn
Tf

L-K

L-J-K

where
Ls = radioiodine content of urine

L = rate of turnover of extrathyroidal thyroxine
K = rate constant for the release of iodine from the thyroid
Ler = peak radioiodine content of the thyroid
X = physical decay constant for jis!
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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