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GPS-X Technical Reference

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Appendix A – Petersen Matrices A-17<br />

Component i 1<br />

j<br />

Process<br />

1 Hydrolysis of insoluble<br />

substrate<br />

Css<br />

2 Hydrolysis of soluble<br />

substrate -1<br />

2<br />

Cis<br />

-1<br />

3 4 5 6 7 8 9 10 Process rate, j<br />

Ce Slf Cprot Cmo Snh Cxa Cxm CH4g<br />

Y 1<br />

Y e<br />

<br />

e<br />

Y Y e<br />

<br />

e<br />

k<br />

his<br />

Cis<br />

C<br />

<br />

C<br />

1 khs<br />

Css<br />

Ce<br />

xa<br />

e<br />

3 Ammonification of proteins<br />

4 Monomers uptake by<br />

acidogens<br />

5 VFA uptake by<br />

methanogens<br />

6 Decay of acidogens<br />

7 Decay of methanogens<br />

8 Decay of enzymes<br />

1<br />

1<br />

1 -1<br />

-1 1<br />

1 Y a<br />

-1<br />

Y i<br />

-1 a nbm<br />

Y<br />

a<br />

i<br />

nbm<br />

-1<br />

i<br />

nbm<br />

-1<br />

k<br />

k<br />

amm<br />

mo<br />

Y m<br />

f <br />

m<br />

1<br />

ky m<br />

ac<br />

C<br />

prot<br />

C<br />

<br />

<br />

Cxa<br />

e<br />

<br />

<br />

<br />

C <br />

mo<br />

S <br />

nh<br />

<br />

<br />

C<br />

Cmo<br />

K<br />

<br />

<br />

a<br />

Snh<br />

K<br />

<br />

<br />

m <br />

s <br />

lf s <br />

nh<br />

<br />

C<br />

Km<br />

s<br />

<br />

lf<br />

Ksnh<br />

s<br />

<br />

<br />

nh <br />

da C xa<br />

d C m xm<br />

de C e<br />

xa<br />

xm<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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