0.75 R
G
Substituting Eq.
l-exp(-\_t)
p, G = ——_—&
ot
+2
(e - 2+)
2
1
re
A
8
0.75 Ro
Cc. a
4)
G,
l-exp(-) t)
Git + Yr (« ~ —_—+ expC? (7 >)
g
(15)
a
n
(17) in Eq.
= £9
2n°I
K
S(S+K)
(18) and rearranging terms,
:
L
S(S+K, )(S4r)
.
M
S(S+A (SHA) (SH
y|
as)
h
where,
8
K =- £4 + £ 4D, + £, (ED, + £ >, + £ ,D,)
b= PD.
(E+ ££.)
h5‘e
leg
m= PAPE£0
ORGANS RECEIVING RADIONUCLIDE FROM BLOOD
15
ixpansion of Eq.
,
,
dQ/dt = foqTg - AQ,
where
r,
B
is
the
_
T=
rate at which the
yb
AAG
+
b
Ln
+
b
» ee
8
(16)
radionuclide enters blood.
b
£,O4%
+
b
Aa
+
+
b
AQ
+
(19) letting S = 0, hae has he gives
pp
K
{
OQ AD
14 Oa) Ny)
and therefore constant,
*
L
M
b
b
b
Substituting An = de = he and combining terms,
+ Agexp(-a,t)]
fi+f,f
ff at
wee +
S(S+.,)
S(StA,) (Sta)
K
+s
s
(17)
-@
fancy lAg
fon TB Qa
_
_
(21)
where, » Ag, AQs Ay, Ads Aj, AQs Az AD are the bracketed expressions in Equation (20).
.
fon t,/(S oe
(18)
701
700
20
(20)
+ A, exp ( aD + A,exp( at)
(16)
ee es
exp(-A_¢t
xp n |
are:
Qa
_
t)
eR CA, t)
meee Se ao
{ Ay
A Oya)
A Oya) aaa}
where K= £.D,
+ £ c4
D, + £,(£,D,
+ £,D,
+ £,D,)
a3
1b 3
a4
£5
5Q, ' Anta
h
.
The concise forms for the burden, dose, and dose commitment equations
sz, B =k + PQ.
+ 6 lgg
aPG_ + a0 Li
eve
From Eq.
exp(-,
i
TT ao
K
The underlined components (t,, ° 1 day) are assumed to be in equilibrium
= A D.Q.
ho5°r
Ay AD ay =}
“
+
+e
B
M
L
M
- TH Tc
b
Ao?
,
T,
L
fant | {§ “a tx}