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

E.x.eca tki Cet)
vi

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

hy

dt is
AEP o e

-(Kgta)t Bixee Et dt.

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

J

T
°

Af Pee

-(Kpth )t

L.x.e
“i

-O+Kz) (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°£) Lixy Ce

~(\+Kg)T

-e

“4KDT) o OAtKi) g

.

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 ini-~

tial 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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