The whole body retention at any time t-t of the fraction of initial radioactivity
inputed at time T is
Eye Ati) Cet)
neu
Thus, the instantaneous activity at time t-T that remains following input during
dt is
AE, Pee” (KEFAIT Boxe A*Ki) (t-T) 4.
°
It follows that the instantaneous activity at time t-t that remains following
input during T is
T
“(Ket )T
~(A 4K 3) (t-T)
J ° AF, 1 P%e
r.x.e
dt.
i“i
The solution of the integral yields a general expression that depends on
the user defining t.
For example, if t is the fixed uptake interval, T, plus an
additional fixed post uptake interval, @, then the body burden at T + 9 is
given by
AP°£ Lixg Ce
-(A+KE)T
—(AtK;)T
(A #K) 6
Be
ne
mye
*
RK, 7K
As previously stated, Eq. (2) applied at Rongelap and Utirik, it was
for the situation that variable time t was the uptake interval.
Additionally,
persons who returned to the atolls in June 1954 and June 1957 did so with an initial body burden, q°.
The behavior of this contribution to body burden,
q, was embodied in the q®? term of Eq. (2).
A similar model was used to relate