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Page Title: Appendix C -MATHCAD Definitions and Subordinates cont'd
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DOE-HDBK-1184-2004
In Mathcad, the first element is designated as being in the zeroth row and zeroth column, i.e.,
having the (0,0) coordinate. When defining a matrix for biokinetic models it is useful for the
matrix to begin with the (1,1) coordinate. This is accomplished by setting the built-in variable
ORIGIN to 1.
ORIGIN ≡ 1
The compartments in the biokinetic model are assigned names to clarify their use in the
definition of the rate matrix. For example, rather than define the transfer rate constant k1,4, we
define it as kAI1,bb1. The respiratory tract compartments are:
=
bb2 = 5
BBseq = 9
LNet = 13
AI1
1
=
bbseq = 6
ET2 = 10
LNth = 14
AI2
2
=
BB1 = 7
ETseq = 11
ENV = 15
AI3
3
=
BB2 = 8
ET1 = 12
bb1
4
The transformed respiratory tract compartments are:
=
Tbb2 = 20
TBBseq = 24
TLNet = 28
TAI1
16
=
Tbbseq = 21
TLNth = 25
TAI2
17
=
TBB1 = 22
TET2 = 26
TAI3
18
=
TBB2 = 23
TETseq = 27
Tbb1
19
Finally, the GI tract, systemic compartments, and excreta compartments are:
S = 29
LLI = 32
bladder = 35
hto = 38
SI = 30
feces = 33
excreta = 36
urine = 39
ULI = 31
blood = 34
obt = 37
The sources (beginning with "s") in the dosimetric model are assigned names to clarify their use
in the definition of the SEE and dose matrices:
sET1sur = 1
sBBsol = 6
sAI = 11
sULI = 16
sET2sur = 2
sBBseq = 7
sLNth = 12
sLLI = 17
sTissue = 18
sET2seq = 3
sbbgel = 8
sUBcont = 13
sLNet = 4
sbbsol = 9
sS = 14
sBBgel = 5
sbbseq = 10
sSI = 15
1
2
Likewise, the targets (beginning with "t") in the dosimetric model are assigned numbers to clarify
3
their use in the definition of the SEE and dose matrices:
4
78


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