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

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