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Page Title:
Appendix C -MATHCAD Definitions and Subordinates cont'd |
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|  DOE-HDBK-1184-2004
The 24-hour incremental urinary and fecal excretion functions are defined as shown below.
Note that the increment excreted in urine and feces is calculated with "insoluble" tritium. The
incremental excretion is then adjusted for radioactive decay. Because we are starting with
radioactive tritium, the incremental excretion is adjusted to insoluble tritium first.
∆eu(t) = exp ( -λ⋅t) ⋅ q(t , urine)⋅exp ( λ⋅t) - q(t - 1, urine)⋅exp λ⋅(t - 1)
∆ef (t) = exp ( -λ⋅t) ⋅ q(t , feces )⋅exp ( λ⋅t) - q(t - 1, feces )⋅exp λ⋅(t - 1)
The following plot shows the 24-hour urinary and fecal excretion for days 1 through 180 after an
acute inhalation intake of 5 m AMAD type M IMT.
t = 1.. 180
eu = ∆eu(t)
t
ef = ∆ef (t)
t
Tritium
1
in Urine
and Feces
(1/day) 0.1
0.01
1 .1 0 3
1 .1 0 4
5
1 .1 0
0
20
40
60
80
100
120
140
160
180
Time After Intake (days)
urine
feces
77
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