GPS-X Technical Reference

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Appendix A – Petersen Matrices A-11
Component i 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
XBH
XBA
XBP
XU
XS
SS
SLF
XBT
XI
SI
XPPR
XPP
SP
XND
SND
SNO
SNH
SNI
SO
j
Process
16 Autotrophic
growth
1 -fpxa
1
Y A
1
fzna
Y A
4. 57 Y
Y
A
A
17 Autotrophic
decay
18 Aerobic growth
of polyP
organisms on xbt
with snh
-1 fepa 1-fepa fpza-fepa* fnzea
1
1
Y P
fpupt1
fpupt1
fpupt1 1
fpp
fpzp
fpp
Y P Y
Y P
P
fnza-fepa*
fnzea
-fnzp
1 Y
Y
P
P
19 Aerobic growth
of polyP
organisms on xbt
with sno
1
1
Y P
fpupt1
fpupt1 1
fpp fpupt1
fpp
Y P
fpzp
Y
Y P
P
-fnzp
1 Y
Y
P
P
20 Process 18 if PO4
is limited 1
21 Process 19 if PO4
is limited
1
1
Y P
1
Y P
-fpzp
-fpzp
-fnzp
-fnzp
1 Y
Y
P
P
P
1 Y
Y
P
22 Anoxic growth of
polyP organisms
on xbt with snh 1
1
Y P
fpupt 2 fpupt 2
fpupt 2 1
fpp
fpzp
1
Y
fpp
P
Y
Y P YP
P
2.86YP
-fnzp
23 Aerobic decay of
polyP organisms
24 XPPR lysis on
aerobic decay
25 XPP lysis on
aerobic decay
26 XBT lysis on
aerobic decay
27 Anoxic decay of
polyP organisms
28 XPPR lysis on
anoxic decay
29 XPP lysis on
anoxic decay
30 XBT lysis on
anoxic decay
31 Anaerobic decay
of polyP
organisms
32 XPPR lysis on
anaerobic decay
-1 fepp fesp fpzp-fepp*fpzep
-1 1
-1 1
1 -1
-1 fepp fesp fpzp-fepp*fpzep
-1 1
-1 1
1 -1
-1 fepp (1-fepp) fpzp-fepp*fpzep
-1 1
fesp*
fnsep
fesp*
fnsep
fesp*
fnsep
1
fepp fesp
2.86
fnzp-fepp*fnzepfesp*fnsep
fnzp-fepp*fnzepfesp*fnsep
fnzp-fepp*fnzepfesp*fnsep
-(1-fepp-fesp)
GPS-X Technical Reference