The whole body retention at any time t-T of the fraction of initial radioactivity
inputed at time Tt is
rz X (ge ATK) (t-1)
tou
Thus, the instantaneous activity at time t-T that remains following input during
dt is
Af P oO e
-(Kptid)t Eye CAtKi (et) dt
e214
It follows that the instantaneous activity at time t-tT that remains following
input during T is
J
T
A£, Pee
“(Keth)t
E.x.e
i*i
~(X+K;) 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°f,
2
£
yxy Ce
-(A+tKp)T
K
-e
1
“OFR DT, a (ATK? 9g
K
.
E
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