Appendix C -MATHCAD Definitions and Subordinates cont'd

DOE-HDBK-1184-2004

tAdrenals = 1

tUB = 2

tBS = 3

tBrain = 4

tBreasts = 5

tS = 6

tSI = 7

tULI = 8

tLLI = 9

tKidneys = 10

tLiver = 11

tET1bas = 12

tET2bas = 13

tLNet = 14

tBBbas = 15

tBBsec = 16

tbbsec = 17

tAI = 18

tLNth = 19

tMuscle = 20

tOvaries = 21

tPancreas = 22

tRM = 23

tSkin = 24

tSpleen = 25

tTestes = 26

tThymus = 27

tThyroid = 28

tUterus = 29

Once the transfer rate constants are defined, the total removal rate constants may be calculated

by summing across the rows of the rate matrix:

total( k, λ) =

K←k

for comp ∈ 1.. cols (k)

←0

comp , comp

for j ∈ 1.. cols (k)

←K

if comp ≠ j

comp , comp

comp , j

(

)

←-K

+λ

comp , comp

The coefficients and rate constants for the retention functions are calculated by the eigensystem

method. This approach to solving systems of ODEs is described by G. G. Killough and K. F.