APPENDIX
I.
In the case of strontium elimination, the following assumptions were made:
a.
The population was returned to the contaminated atoll at time t = 0,
with a zero strontium body burden.
b.
The population absorbs a daily increment of x uc, and x is considered
to be a constant independent of time.
c.
The amount of strontium excreted in the urine each day is given by
P(t) = zB(t), where E(t) is the total excreted by all routes each day, and k is
@ constant independent of time.
d.
The body is considered to be a two compartment system, A and B, where
A+Be#i1.
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 that compartment.
For cesium and zinc elimination
similar assumptions are made, except that only one compartment is assumed.
e.
Now:
s(t) is total strontium body burden at time t in uc
s(t) and s(t) are the portions in each compartment
and
s(t) = 8 (t) +s (t)
1
2
Considering each compartment seperately and adding the results,
ds
ss
= Ax
at
-~ E(t)
A )
= Ax -kPft)
=
Ax
-
as,
hence
8 (t) = Ax (l-e -at
8 ) and s (t) = Bx (l-e ~bt,
*)
1
2
2
b
Since
E(t) = as
1
+ Bs
2
P(t) = & (es, + ts,)