FALLOUT FROM NUCLEAR WEAPONS TESTS
1344.
APPENDIX
I.
In the case of atrontium elimination, the following assumptions were made:
a.
The population was returned to the contaminated atoll at time t = o,
with a zero strontium body burden.
b,
The population absorbs a daily increment of x uc, and x ia considered
to be a constant independent of time.
c.
The amount of strontium excreted in the urine each day is given by
P(t) = et), where E(t) is the total excreted by all routes each day, and k 1s
a constant independent of time.
d.
The body is considered to be a two compartment syatem, A and B, vhere
A+B = 1,
The excretion rates for each compartment are a and b days”?
respectively.
The portion of E(t) excreted from each compartment is proportional
to the burden remaining in thet compartment.
For cesium and zinc elimination
similar assumptions are made, except that only one campartment ie assumed.
e.
Now:
a(t) 1a total atrontium body burden at time t in uc
6(te) and (t) are the portions in each compartment
and
a(t) = 6 (t) +5 (t)
1
2
Considering each compartment seperately and adding the results,
de Ax = B(t) = A EP(t) wax = a,
hence
8 i {t) = Ax
(1 - 078*) ana s(t)
=b
Bx (1 - e°*)
a
2
Since
E(t) = as
€
1
+ Ba
2
P(t) = & (46, + bs,)