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Table 1 Parameters used in model and their correspondent values

From: Modeling de novo granulation of anaerobic sludge

Parameter summary

Model parameter

Symbol

Value

Unit

References

Solutes

Diffusion of glucose in liquid

D g

5.8×10−6

m 2 /day

[59]

Diffusion of acetate in liquid

D a

1.05×10−4

m 2 /day

[59]

Diffusion of methane in liquid

D m

1.29×10−4

m 2 /day

[60]

Biofilm Diffusivity

γ

30

%

[42]

Acidogens

Cell mass

B a

300

fg

[61]

Division radius

 

3

μm

[62]

Maximum growth rate

\(\hat {\mu _{a}}\)

0.208

h −1

[61], [56, 63]

Substrate saturation constant

Ks

0.26

g/L

[35, 56]

Product inhibition constant

Ki

0.1

g/L

[56, 63]

Biomass conversion rate

α bg

0.3

\(\frac {g_{biomass}}{g_{glucose}}\)

[56, 57]

Substrate conversion rate

α ag

0.82

\(\frac {g_{acetate}}{g_{glucose}}\)

[56, 63]

Death delay

 

48

h

Estimated

Death threshold

 

0.02

g/L

Estimated

Methanogens

Cell mass

B m

1500

fg

[62]

Mass of EPS capsule

 

10

fg

[54]

Division radius

 

3

μm

[62]

Maximum growth rate

\(\hat {\mu _{m}}\)

0.1

h −1

[33, 54]

Substrate saturation constant

Ks

0.005

g/L

[54]

Biomass conversion rate

α ba

0.15

\( \frac {g_{biomass}}{g_{acetate}}\)

[33, 35]

Substrate conversion rate

α ma

0.26

\(\frac {g_{methane}}{g_{acetate}}\)

[33]

Death delay

 

48

h

Estimated

Death threshold

 

0.00001

g/L

Estimated