Agtendix C
Svmbols, comstants and equations used to calculate the

Cs - i37m.

total body dose equivalent during the uptake interval and the committed dose
equivalent
The following definitions, symbols, constants and equations describe che
mathematical model used to calculate the dose equivalent and che committed dose
equivalent.

Intermediate steps can be used to determine urine activity concen-

trations or daily ingestion rates.

The equations were developed with the

assumption that the body burden as determined from whole body counting, would be
the measured quantity from the bioassay program.

Three intervals of

monotonically increasing, but constant and continuous uptake throughout an
interval were assumed.

Consequently, the equations must be repeated 3 times in

orcer to obtain the total dose equivalent during the uptake interval.
137

Cs,

For

.
.
the uptake interval corresponds to the number of days out of the resi-

dence period that an individual maintained the proposed daily activity ingestion
rate.
Mathematical Model

Symdols, Definitions and Units of Physical Quantities

Ne

=

the number of atoms of species of concern present at time zero in
compartment i, atoms,

Ne

=

the instantaneous number of atoms of species of concern present at time
t in compartment i, atoms,

P,

=

atom intake rate into compartment i from blood, atoms day '

RK.

=

the instantaneous fraction of atoms removed from compartment i per unit
time by physiological mechanisms, day,

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