ICRP model for 137Cs referred to in the text (Figure D1). For large n; and

r tj

distributed randomly throughout each year, it follows that total int

ted

whole-body dose Q(#) in Bq kg" after t years may be approximated by the
quantity

hs

,
ra\cbas} «rex,

where X is here defined as the braced quantity and where the variafe T,
subsumed in S, is here—in contrast to Eq. (2) above—uniformly distriquted
between 0 and?.
Based on Eq. (4) and the preceding analysis, interindividual vari

ility

in expected dose (D(t)) by time t was characterized by evaluating

(D(t)) = [(0.36 + Y)D,(#) 1+ D,,(t) + (F) {et(R){S)} ,

A6)

in which Y was defined in the text and (S) , the expectation of S with respect
to both T and 8,is given by

iS)=1+

AB +e“[Ei(b,) -Ei(b,)]-Ei(c,)+Ei(c,)+Ln(c,/ cy)

ABKAt

b, =-BKt, i=0,1,
C;

=b.-At,

i=0,1,

and

AB = (B, — By) = (1.107 — 0.9) = 0.207

‘in which Ei is the exponential integral. As such, variability in (D(t))
from uniform variability in F and lognormal variability in both (R)

ises
nd H

(see text). Uncertainty in population-average dose D(t) was characteriged by
evaluating

(A7)

DW =D,@)+D,()+ FBX ,

D-5

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