The whole body retention at any time t-T of the fraction of initial radioactivity
inputed at time T is
~
boy eA tKi) (t-1)
wl
Thus, the instantaneous activity at time t-T that remains following input during
dt is
he peeREMAN zX,e “OtKU) CET)
It follows that the instantaneous activity at time t-T that remains following
input during T is
J
T
°
AFPee
~(Kg+A)T
-(A+Kj) (t-T)
L.x.e°
L"i
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°£) Lixy Ce
-(A+K_)T
~Q4KQ)T
-C0+Ky)
BO
ae
mye
i)?
.
ri
As previously stated, Eq. (2) applfed 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