The whole body retention at any time t-t of the fraction of initial radioactivity
inputed at time Tt is
Eye Atki (et)
i*i
Thus, the instantaneous activity at time t-T that remains following input during
a4
dt is
Af P 9 e
-(Kg+h dt
bye 7RINE gy
wi1
It follows that the instantaneous activity at time t-T that remains following
input during T is
T
J A£,Pee
2
~(Kpth dt
°
L.x.e
i*1
—(A+Ky) Ct-1)
.
dt .
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 + @ is
given by
AP°£) Zixg Ce
-(\+Kg)T
-e
~Q4K{)T,
e
~—(AtK;) 6
K. - K,
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