The whole body retention at any time t-Tt of the fraction of initial radioactivity
inputed at time Tt is

E.y.e A tKi) (t-)
bel

Thus, the instantaneous activity at time t-T that remains following input during

dt is
oO

Af P e

-(Kgta)t Exe CED dt.

It follows that the instantaneous activity at time t-T that remains following
input during T is

T

J ° A£,PPe

-(Kpt)\)t

r.x.e
i*i

C0 +K;) (t-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°£) Lixi Ce

-(A+Kp)T

-e

“O4K))T) oe OK) ¢

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

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