|
W
|
Biofilm thickness
|
80 μm
|
Specified
|
|
G
b
|
Bulk glucose concentration
|
7.5 mmol/L
|
[75]
|
|
O
a
|
Oxygen concentration at the biofilm-air interface
|
0.21 mmol/L
|
[103]
|
|
O
b
|
Oxygen concentration at the tissue-biofilm interface
|
0 mmol/L
|
Specified
|
|
A
b
|
Bulk acetate concentration
|
0 mmol/L
|
Specified
|
|
S
b
|
Bulk succinate concentration
|
0 mmol/L
|
Specified
|
|
L
b
|
Bulk lactate concentration
|
1.0 mmol/L
|
[75]
|
|
P
b
|
Bulk pyocyanin concentration
|
0 mmol/L
|
Specified
|
|
\( {k}_{dX} \)
,
\( {k}_{dY} \)
|
Death rate constants
|
0–0.01 h−1
|
Calculated
|
|
k
L
|
Pyocyanin-associated death rate constant
|
0.4 mmol/gDW/h
|
Specified
|
|
k
dP
|
Pyocyanin flux bound
|
0.1 L/mmol/h
|
Specified
|
|
Z
max
|
Maximum biomass concentration
|
200 g/L
|
[46]
|
|
km
G
, km
A
, km
S
, km
L
, km
P
|
Mass transfer coefficients for glucose, acetate, succinate, lactate and pyocyanin
|
2.0 × 10−4 cm/s
|
Specified
|
|
D
WG
|
Aqueous diffusion coefficient for glucose
|
9.4 × 10−6 cm2/s
|
[67]
|
|
D
WO
|
Aqueous diffusion coefficient for oxygen
|
26.8 × 10−6 cm2/s
|
[67]
|
|
D
WA
|
Aqueous diffusion coefficient for acetate
|
16.2 × 10−6 cm2/s
|
[67]
|
|
D
WS
|
Aqueous diffusion coefficient for succinate
|
12.6 × 10−6 cm2/s
|
[67]
|
|
D
WL
|
Aqueous diffusion coefficient for lactate
|
12.1 × 10−6 cm2/s
|
[104]
|
|
D
WP
|
Aqueous diffusion coefficient for pyocyanin
|
7.2 × 10−6 cm2/s
|
Specified
|
|
a
G
, a
S
, a
L
, a
P
|
Adjustable parameter for glucose, succinate, lactate and pyocyanin in Eq. (6)
|
0.33
|
Fitted
|
|
a
O
|
Adjustable parameter for oxygen in Eq. (6)
|
0.19
|
Fitted
|
|
a
A
|
Adjustable parameter for acetate in Eq. (6)
|
0.36
|
Fitted
|
|
X
0
, Y
0
|
Initial biomass concentrations
|
1 g/L
|
Specified
|
|
k
A
|
Aerotaxis rate constant
|
5 × 10−8 cm2. L/mmol. s
|
Specified
|
|
km
O
|
Oxygen mass transfer coefficient
|
2.0 × 10−2 cm/s
|
Specified
|
