METHODS

DOSI 1ETRIC EQUATIONS
Declining continuous uptake of radioactive dietary items was mathematicall: modeled for each nuclide of concern.

The following general equations were

used
t

°

-(y)+

u u,/f, - 9° (¢ K:X; e (14KDE)

eee

K.
Dt
(5 Xuma
(e ~C+Kp ES dt - ~CA+K:iy)

OF

(1)

‘ K.-Ke

Ap® =

p= earpeg
ol

.

1

zr

£

qg-a° (i Xie

X;

LCii
eeE

(e - (A+Kp)t

-(A+K. Jt

_

i]

e ~(\+K.
(dX Ki)ty)

» and

(2)

A+
~(K- +i
oi (Kirke -O+Ki) Cskg rt ¢ CAKE) 67 (Ki *)

KK
1 E

(KoA)
(K,1 +A)
E

‘

+a

°

X.1

2i Oe1 (

l-e

(A 4K;L )t

),

(3)

where
t

= time post onset of uptake, days,

A

= instantaneous fraction of atoms decaying per unit time, day”!

P° = initial atom ingestion rate, atoms day~!,

Kj = instantaneous fraction of atoms removed from compartment i by physiological
mechanisms, day7!,
Xj = compartment i deposition fraction,
¢

X; = the number of atoms in compartment i relative to the number in all compart-

ments at the onset of uptake (t=0),
U

= instantaneous urine activity concentration, Bg oe

US = subject urine excretion rate, & day~!,

Select target paragraph3