Table 1 Symbols and intervals used in Box-Behnken design (BBD)
Independent variable
|
Symbol
|
Intervals
|
-1
|
0
|
1
|
Ci (Initial substrate concentration)
|
x1 (mM)
|
20
|
35
|
50
|
A (Glucose content in
initial substrate)
|
x2 (%mol/mol)
|
0
|
50
|
100
|
I (Light intensity)
|
x3 (W/m2)
|
5.8
|
11.6
|
17.4
|
Table 2 Experiment design and results for HPR(mL/L/h)
Runs
|
x1
(mM)
|
x2
(%mol/mol)
|
x3
(W m-2)
|
HPR
(mL h-1L-1)
|
1
|
20
|
50
|
17.4
|
21.8±0.2
|
2
|
35
|
0
|
5.8
|
20.4±0.2
|
3
|
20
|
100
|
11.6
|
23.2±0.1
|
4
|
50
|
0
|
11.6
|
23.0±0.3
|
5
|
50
|
50
|
17.4
|
27.0±0.2
|
6
|
35
|
50
|
11.6
|
29.5±0.1
|
7
|
35
|
0
|
17.4
|
20.2±0.3
|
8
|
35
|
100
|
17.4
|
24.9±0.3
|
9
|
50
|
50
|
5.8
|
23.2±0.1
|
10
|
20
|
0
|
11.6
|
18.9±0.2
|
11
|
50
|
100
|
11.6
|
23.9±0.3
|
12
|
20
|
50
|
5.8
|
21.8±0.2
|
13
|
35
|
100
|
5.8
|
22.9±0.4
|
14
|
35
|
50
|
11.6
|
29.9±0.3
|
15
|
35
|
50
|
11.6
|
29.7±0.1
|
a Experimental results are averages (±standard deviation) of the values obtained in independent experiments conducted in triplicate (N=3)
|
Table 3 ANOVA for dependent variables: H2 production rate (HPR)
Factors
|
Sum of squares
|
Degree
freedom
|
Mean square
|
F-value
|
P-value
|
Model
|
177.04
|
9
|
19.67
|
53.70
|
0.0002
|
x1
|
13.52
|
1
|
13.52
|
36.91
|
0.0017
|
x2
|
19.22
|
1
|
19.22
|
52.47
|
0.0008
|
x3
|
5.44
|
1
|
5.44
|
14.86
|
0.0119
|
x1x2
|
2.89
|
1
|
2.89
|
7.89
|
0.0376
|
x1x3
|
5.76
|
1
|
5.76
|
15.72
|
0.0107
|
x2x3
|
1.21
|
1
|
1.21
|
3.30
|
0.1288
|
x12
|
38.01
|
1
|
38.01
|
103.75
|
0.0002
|
x22
|
68.54
|
1
|
68.54
|
187.09
|
<0.0001
|
x32
|
41.64
|
1
|
41.64
|
113.68
|
0.0001
|
Residual
|
1.83
|
5
|
0.37
|
|
|
Lack of fit
|
1.71
|
3
|
0.57
|
8.97
|
0.1019
|
Pure Error
|
0.13
|
2
|
0.063
|
|
|
Cor Toal
|
178.87
|
14
|
|
|
|
R-squared
|
0.9898
|
Adj-squared
|
0.9713
|
|
|
Pred R-squae
|
0.8459
|
Adeq Precision
|
22.697
|
|
|
C.V.%
|
2.53
|
|
|
|
|
Table 4 Comparison of studies on growth kinetics of PSB using logistic model
Strains
|
Substrate
|
Operation
mode
|
x0
(g L-1)
|
xmax
(g L-1)
|
kc
(h-1)
|
R2
|
Ref.
|
R.sphaeroides
O.U. 001
|
Malic acid
|
Batch
|
0.041
|
1.02
|
0.103
|
0.98
|
[20]
|
R.sphaeroides
O.U. 001
|
Olive mill wastewater
|
Batch
|
0.062
|
0.552
|
0.087
|
0.99
|
[26]
|
R.sphaeroides
O.U. 001
|
Olive mill wastewater
|
Batch
|
0.067
|
0.565
|
0.109
|
0.99
|
[27]
|
R.capsulatus MT1131
|
Acetic acid
|
Continuous
|
0.53
|
1.61
|
0.1
|
0.92
|
[28]
|
Rhodobacter Capsulatus
|
DL-lactate
|
Batch
|
---
|
0.835
|
0.39
|
0.98
|
[29]
|
Rhodobacter Capsulatus
|
Malate
|
Batch
|
---
|
0.93
|
0.17
|
0.97
|
[30]
|
R.sphaeroides
O.U. 001
|
Malate, Lactate ,
Acetate
|
Continuous
|
0.07
|
0.63
|
0.18
|
0.98
|
[31]
|
R.sphaeroides
O.U. 001
|
Malate
|
Continuous
|
0.11
|
0.71
|
0.069
|
0.98
|
[32]
|
R. capsulatus
|
Lactic acid
Acetic acid
|
Batch
|
0.09
|
1.09
|
0.04
|
0.99
|
[21]
|
R. faecalis RLD-53
|
Acetate
|
Batch
|
---
|
0.83
|
0.062
|
0.98
|
[22]
|
R.palustris DSM 123
|
DL malic
acid
|
Continuous
|
|
1.35
|
0.052
|
0.97
|
[33]
|
R.palustris
|
Glucose
Xylose
|
Batch
|
0.03
|
0.976
|
0.176
|
0.99
|
This study
|
Table 5 Comparison of studies on experimental optimization of photofermentative H2 production
Strains
|
Substrate
|
Operation/cell
state
|
Design
method
|
HPR
(mL h-1 L-1)
|
Ref.
|
Mixed consortium
|
Acetate, Propionate, Butyrate
|
Batch/suspended
|
BBD
|
12.5
|
[34]
|
R. capsulatus DSM 1710
|
Acetic acid, lactic acid
|
Batch/suspended
|
3k
|
12.6
|
[35]
|
Rhodobacter sp. KKU-PS1
|
Malic acid
|
Continuous/immobilized
|
CCD
|
12.0
|
[36]
|
Mixed consortium
|
Corn stalk
|
Continuous/immobilized
|
---
|
38.4
|
[37]
|
Rhodobacter sphaeroides DSM 158
|
DL malic
acid
|
Batch/suspended
|
BBD
|
41.7
|
[38]
|
R.palustris
CQK 01
|
Glucose
|
Batch/suspended
|
---
|
12.09
|
[39]
|
R.palustris DSM 123
|
DL malic
acid
|
Continuous/immobilized
|
3k
|
6.885
|
[33]
|
R. capsulatus DSM 1710
|
Acetate
|
Batch/suspended
|
BBD
|
21
|
[40]
|
R.
Palustris
WP3-5
|
Butyric acid
|
Batch/suspended
|
CCD
|
12.3
|
[41]
|
R. palustris
|
Glucose
Xylose
|
Batch/suspended
|
BBD
|
30.6
|
This study
|
CCD – central composite design
3k – three-level general full factorial design