The result has identified optimal conditions for bioconversion of sugar cane bagasse into
reducing sugars by mixed enzymes (Cell/Xyl, AltFAE, XpoAE ) at 400C, pH =5, 48 h incubation
with the ratio of enzyme (Cell/Xyl, AltFAE, XpoAE) and substrate (sugar cane bagasse meal) are
3.1. The applying the experimental planning method led to find the mathematical model that
describe equation of the bioconversion of bagasse into reducing sugars: ɵy = 206.946 + 29.954x1
+ 5.501x2 + 7.323x3 + 2.288x2x3 – 7.011 x12 . By using flexible algorithm of nonlinear planning
we found the optimal conditions of enzyme mixture of conversion into reducing sugars that the
reaction reached ɵy max = 251.86 mg per gram bagasse with x1 = 1.215, x2 = 1.215, x3 = 1.215
or Cell/Xyl = 1 ml (100 U), AltFAE = 0.5 ml (7.56 U), XpoAE = 0.4 ml (10.8 U) on the test
range. Experimental verification has the same result in constant conditions and reached total
reducing sugars of 260.2 mg per gram substrate.
Acknowledgement: This work is supported by a grant from the National Foundation for Science and
Technology Development (NAFOSTED, No. 106-NN.02-2013.44)
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Vietnam Journal of Science and Technology 55 (4) (2017) 419-428
DOI: 10.15625/2525-2518/55/4/8793
USING EXPERIMENTAL PLANNING TO OPTIMIZE THE
HYDROLYSIS OF SUGAR CANE BAGASSE INTO
FERMENTABLE SUGARS FOR BIOETHANOL PRODUCTION
BY FUNGAL ENZYME MIXTURE
Vu Dinh Giap1, 2, *, Do Huu Chi2, 4, Pham Hong Hai1, Tang Thi Chinh2, 3,
Do Huu Nghi1, 2
1Institute of Natural Products Chemistry, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi
2Graduate University of Science and Technology, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi
3Institute of Environmental Technology, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi
4Institute of Biotechnology, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi
*Email: giapvudinh@gmail.com
Received: 20 October 2016; Accepted for publication: 13 May 2017
ABSTRACT
In this study, the unpretreated sugar cane bagasse was milled to a particle size of 0.5 – 1
mm and be used as material for bioconversion into fermentable sugars by using an enzyme
cocktail acted synergistically. Experimental planning was used to optimize the enzyme
conversion through assessment and analysis of individual parameter. As the result, the optimal
condition for enzymatic conversion of sugar cane bagasse into reducing sugar product are at
pH = 5, 40 oC, and 48 h incubation in rate of enzyme (Cell/Xyl, AltFAE, XpoAE) and substrate
(bagasse meal) is 3.1. From the above application, the mathematical model is found to describe
equation of the bioconversion of bagasse into reducing sugars:
ɵy = 206.946 + 29.954x1 + 5.501x2 + 7.323x3 + 2.288x2x3 – 7.011 21x ;
and using flexible algorithm of nonlinear planning to identify optimal conditions of enzyme
mixture of conversion into reducing sugars that the reaction reached ɵy max = 251.86 mg per
gram bagasse with x1 = 1.215, x2 = 1.215, x3 = 1.215 or Cell/Xyl = 1 ml (100U), AltFAE = 0.5
ml (7.56U), XpoAE = 0.4 ml (10.8U) on the test range. Experimental verification has the same
result in constant conditons and reached total reducing sugars of 260.2 mg per gram substrate.
Keywords: carbohydrate esterase, cellulase, lignocellulose bioconversion, bioethanol.
1. INTRODUCTION
Using the agro-industrial by-products that rich of lignocellulose to produce bioethanol has
been studied extensively for decades [1]. These include sawdust, straw, bagasse, corn stover etc.
Vu Dinh Giap, Do Huu Chi, Pham Hong Hai, Tang Thi Chinh, Do Huu Nghi
420
which is the most popular components of lignocellulosic biomass in Vietnam. Bagasse is a
popular by-product in Asian countries, about 170 million tons/year, and has been known as
useful material for bioethanol production. The main components of bagasse are cellulose (40 %),
hemicelluloses (26 %) and about 20 % lignin [2, 3].
The filamentous fungi have an efficient catalytic enzyme system to decompose
lignocellulose. The enzymes that destroy the cell wall are attended because they produce a
quality of sugar units that are necessary for fermentation and bioethanol production from rich
lignocellulose materials [2]. Some enzymes such as cellulolytic enzyme system in which endo-
1,4-glucanase (EC 3.2.1.4) is responsible for swelling or hydration bond of the cellulose chains,
exo-1,4-glucanase (EC 3.2.1.91), β-1,6-glucosidase (EC 3.2.1.21) hydrolyze bond of external
circuit and release glucose. Hydrolytic enzymes carbohydrate esterase (CE) including acetyl
esterase (EC 3.1.1.6), feruloyl esterase (EC 3.1.1.73) attack the branched polysaccharide of cell
wall to break the links between xylan and lignin and separate the lignin from the structure of
lignocelluloses. They play an important role in the first phase of lignocellulose hydrolysis [3, 4,
5].
However, application of microorganisms as a source of biological catalysts to hydrolyze
byproducts of - agricultures into fermentable sugars is increasingly interested. This solution did
not waste human food that follow environmentally friendly agro by-products treatment and can
produce biofuel on a large scale through high performance and cost reduction.
The present application of mathematical models in the assessment and analysis to select the
optimum parameters for metabolism is increasingly interested. Experimental planning is the
method that select the number of experiments, necessary and sufficient conditions of the
experiments can solve the tasks correctly, collect mathematical methods of treat empirical
results. Based on the optimal points in space and linear coordinate transformation, disadvantages
of classical regression analysis can be overcome. It reduces the number of experiments, receive
more accurate information so the effect of experiment will be improved [6].
In this article, we used experimental planning to find mathematical model and optimal
conditions for conversion of bagasse into fermentable sugars through enzymatic hydrolysis.
2. MATERIALS AND METHODS
2.1. Materials
Sugar cane bagasse that is the material for conversion need to be dried, grinded and
screened (0.5 - 1.0 mm size) (Fig.1). In this study, we use raw bagasse that was not treated by
chemical methods.
Figure 1. Sugar cane bagasse after grinding.
Using experimental planning to optimize the hydrolysis of sugar cane bagasse into fermentable
421
Hydrolytic enzymes were purified from different fungi in previous studies:
- Enzyme feruloyl esterase (AltFAE) and acetyl esterase (XpoAE) were purified from
Alternaria tenuissima [7] and Xylaria polymorpha [8] in enzyme activity at 11.2 Umg-1 (total
activity: 151.2U), 13.1 Umg-1 (270.0U) respectively.
- Commercial enzymes were purified from Trichoderma reesei (carboxymethyl cellulase
and glucuronoxylanase; Cell/Xyl, 1000-1600Ug-1, AB Enzyme, Darmstadt, Germany) [9].
2.2. Methods
2.2.1. Estimation of reducing sugars by 3,5-dinitrosalicylic acid method (DNS)
This method is based on a color reaction between reducing sugars with 3,5-dinitrosalicylic
acid reagent (DNS). Color intensity of the reaction mixture is proportional to the concentration
of reducing sugar within a certain range. Colorimetric is measured at 540 nm. Based on the
calibration curve graph of pure glucose with DNS reagent it will calculate a reducing sugar
content of the sample [10].
Glucose calibration curve graph is constructed from optical density (OD) of a standard
glucose solution with concentration at 0.1; 0.2; 0.3; 0.4; 0.5; 0.6 (mg/ml) respectively. OD of the
range of standard solution and relationship between glucose concentration and absorbance is
shown in Figure 2.
Figure 2. Glucose standard curve.
2.2.2 Hydrolysis reaction of bagasse by enzymatic mixture
Raw bagasse was incubated with purified enzymes from fungi including AltFAE (11.2 Umg-
1), XpoAE (13.1 Umg-1) and commercial enzymes were purified from Trichoderma reesei
(Cell/Xyl). The reaction was implemented in 100 mM MOPS buffer (pH 5.5) compared with
control sample in which the enzymes was inactivated by boiling at 95 oC for 30 minutes. After
reactions were done total reducing sugars are determined 3,5-dinitrosalicylic acid method
(DNS).
2.2.3. Experimental planning method
Experimental planning (active experiment) is the selection procedure of the number of
experiments, necessary and sufficient conditions of the experiments that can solve the tasks
Vu Dinh Giap, Do Huu Chi, Pham Hong Hai, Tang Thi Chinh, Do Huu Nghi
422
correctly, collecting mathematical methods of to treat empirical results. Based on the optimal
points in space and linear coordinate transformation, disadvantages of classical regression
analysis can be overcome (Passive experiment, each variable is changed respectively). It reduces
the number of experiments, receives more accurate information so the effect of experiment will
be improved (educe time scales, effort, and cost of testing) [12]. This method use a second-
degree polynomial model (Box – Wilson) [6, 11], based on experiment, they carry out additional
tests towards the optimization (approximation) or based on data analysis, they use a second-
degree polynomial model (Box – Wilson). In this case, the regression takes the following form:
ɵy = bo+ ∑
=
k
j 1
bj xj + ∑
=
k
ju 1,
bujxuxj + ∑
=
k
j 1
bjj x 2j u ≠ j
In: bo – Free factors; bj – Linear effects; buj– Double interactive effects; bjj – Squared effects.
2.3. Design of experiment
Description of the process
Research on the fermentation using hydrolysis of enzymatic mixture with effect factors:
time (h), temperature (0C), pH, substrate volume (gram), enzyme volume (ml) corresponding
with enzyme activity (U) AltFAE, XpoAE, Cell/Xyl.
Parameter optimization was determined by reducing sugar content (mg per gram substrate).
In the bagasse hydrolysis (substrate), the formed glucose concentration entirely depends on the
above factors. By examining some factors affecting fermentation such as time, temperature, pH,
substrate volume, they will fix the factors to be optimized based on three parameters of three
enzyme volumes that take part in hydrolysis in an appropriate range. Finally, they will find the
optimal efficiency for substrate hydrolysis by describing a statistical experimental model that is
compatible with empirical results.
Experiment
Applying the experimental planning method for bagasse hydrolysis, design experiments
between grinding bagasse that change content from 0.4 to 0.8 gram and variable hydrolase
volume within a range: Cell/Xyl 0.45 ml – 1.0 ml; AltFAE 0.12 – 0.7 ml; XpoAE 0.14 – 0.6 ml.
Temperature range changes between 35 oC to 45 oC, pH 4.5 – 5.5, time 24 - 72 h. All
experiments are run in triplicate, the result of reducing sugar content determined by DNS
method is the average of three independent experiments.
3. RESULTS AND DISCUSSION
3.1. Applying the experimental planning method for sugar cane bagasse hydrolysis to form
reducing sugars
Experimenting to select the time, temperature, pH of the conversion of bagasse to form
reducing sugar and choose the maximum value in each independent experiment, experiment
results are shown in Table 1.
In Table 1, at the first 24 hour incubation (experiments 1 - 5), the total formed reducing
sugar content is 170.5 mg per gram substrate. The reducing sugar content in the solution depends
Using experimental planning to optimize the hydrolysis of sugar cane bagasse into fermentable
423
on many factors at this phase, new substrate, activity of three hydrolase play the most important
part of reaction. There are lots of vulnerable structures of substrate and no inhibitors of enzyme
activity. Hydrolase system (Cell/Xyl, feruloyl esterase (AltFAE) and acetyl esterase (XpoAE))
used a large number of cellulose derived from hydrolysis by debrandching enzymes (AltFAE and
XpoAE) and there are more and more total reducing sugar formed. This is the phase that glucose
molecule were formed most rapidly and highly during the whole reaction.
Table 1. Factors affecting the reducing sugar content in reaction.
N0 Time
(h)
pH Temperature
(oC)
Substrate
(gram)
Cell/Xyl
(ml)
AltFAE
( ml)
XpoAE
( ml)
Enzyme/Substrate
Ratio
(ml/gram substrate)
Total
Reducing
Sugars
(mg/gram
substrate)
1 24 5 40 0.4 0.5 0.3 0.2 2.5 170.5
2 36 5 40 0.4 0.5 0.3 0.2 2.5 189.3
3 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
4 60 5 40 0.4 0.5 0.3 0.2 2.5 201.3
5 72 5 40 0.4 0.5 0.3 0.2 2.5 203.4
6 48 4.5 40 0.4 0.5 0.3 0.2 2.5 178.4
7 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
8 48 5.5 40 0.4 0.5 0.3 0.2 2.5 180.3
9 48 5 35 0.4 0.5 0.3 0.2 2.5 160.9
10 48 5 37 0.4 0.5 0.3 0.2 2.5 167.4
11 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
12 48 5 42.5 0.4 0.5 0.3 0.2 2.5 165.3
13 48 5 45 0.4 0.5 0.3 0.2 2.5 134.5
14 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
15 48 5 40 0.6 0.5 0.3 0.2 1.7 201.4
16 48 5 40 0.8 0.5 0.3 0.2 1.3 176.7
17 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
18 48 5 40 0.4 0.75 0.3 0.2 3.1 223.8
19 48 5 40 0.4 1.0 0.3 0.2 3.8 225.1
20 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
21 48 5 40 0.4 0.5 0.5 0.2 3.0 214.1
22 48 5 40 0.4 0.5 0.7 0.2 3.5 214.7
23 48 5 40 0.4 0.5 0.3 0.2 2.5 198.2
24 48 5 40 0.4 0.5 0.3 0.4 3.0 215.5
25 48 5 40 0.4 0.5 0.3 0.6 3.5 216.7
From 24 to 48 hours incubation, the rate of reaction would be regressive, glucose
concentration and efficiency would grow slowly (198.2 mg per gram substrate). In this phase,
Vu Dinh Giap, Do Huu Chi, Pham Hong Hai, Tang Thi Chinh, Do Huu Nghi
424
the formed glucose will restrain enzyme activity, the number of cellulose branch form was
released more slowly. On the other hand, enzyme activity was reduced when they were restricted
for a while, some enzymes were trapped inside the porous structure of cellulose.
From 48 h until the reactions were finished after 72 h, the total reducing sugar increased
little from 198.2 to 203.4 mg per gram substrate. No reaction can operate at 100 percent
efficiency or there is unable to hydrolyze all of cellulose in bagasse. The enzymatic hydrolysis is
a heterogeneous reaction, exposure phase plays an important role [4]. Due to the compact
structure of lignocellulose, it is difficult for enzyme to penetrate into the fiber, enzyme cannot
attack and hydrolyze these parts. As a result, the time that need to convert is about 48 hours
incubation.
If there was a temperature rise (35 - 40oC), the initial reaction rate would grow
(experiments 9 - 13) the total reducing sugar increased from 160.9 to 198.2 mg per gram
substrate. The maximum initial reaction rates of hydrolysis are at 40 oC. But the temperature
continuously run up (from 40 oC to 45 oC), initial reaction rate slowed down and the total
reducing sugar reduced to 134.5 mg per gram substrate. Effect of pH on reaction rate of
hydrolysis, the rate of enzymatic reaction increased with temperature, however, up to certain
temperature, there was a decrease in the reaction rate down to zero. Because enzymes are
proteins, the enzyme will be inactivated at a certain temperature.
As the pH increased from 4.5 to 5.0, the total reducing sugar increased from 178.4 to 198.2
mg per gram substrate (experiments 6 - 8), but in contrast, when the pH increased from 5.0 to
5.5, the total reducing sugar decreased from 198.2 to 180.3 mg per gram substrate.
Effect of pH on hydrolysis of each enzyme will work at its best within a certain range of
pH values. The range for pH is 4.0 to 5.0 for enzyme preparation of Cell/Xyl, 4.5 to 5.5 for
carbohydrate enzymes (AltFAE và XpoAE). Therefore, the pH = 4.5 has been chosen as the best
value to perform hydrolysis.
The experiments 17-25 conducted a preliminary survey in a range of varying volume
fraction of each enzyme joining in reaction process to find the orthogonal model showed the
interaction between three hydrolases.
Only in using three hydrolases which we selected substrate concentration of second-degree
polynomial model (Box – Wilson), the point of 0.6 gram (4.8% w/v) substrate (bagasse) is
reliable when concentration of three enzymes (Cell/Xyl, AltFAE and XpoAE) was at a high
value shown in experiments 14 - 16. However, the fixed elements include 48 hour incubation-
period fermentation, pH = 5.0 and 40 oC temperature. By examining effect of some fermentation
parameters such as time, temperature, pH, substrate concentration to fix the above parameters,
we would optimize three-enzyme volume which they joined in a compatible range of hydrolysis
(each enzyme volume based on the dilution factor that was converted to activity U respectively).
Since we would find the optimum of bagasse hydrolysis based on the description statistical
experimental model that was compatible with experimental results.
The second-degree polynomial model (Box – Wilson) will survey the effect of three
hydrolases. Selecting the range of varying enzyme volume Cell/Xyl (E1), AltFAE (E2), XpoAE
(E3)) will be seen in Table 2.
Additional experiments to calculate the variance regeneration was executed at t = 48 h
incubation, pH = 5.0, t = 35oC, used 0.4 gram substrate and corresponding enzyme volume used
for Cell/Xyl = 0.5 ml (50U), AltFAE = 0.3 ml (4.53U), XpoAE = 0.2 ml (5.4U) and the total
reducing sugar resulted respectively as 162.2; 159.3; 161.2 mg per gram substrate.
Using experimental planning to optimize the hydrolysis of sugar cane bagasse into fermentable
425
Using FORTRAN algorithm reached:
2
stS = 2.17 with f2 = 2;
0b
S = 0.3804;
jb
S = 0.4451;
ujb
S = 0.5028;
jjb
S = 0.7054.
Table 2. The second-degree polynomial model (Box – Wilson).
Encryption degree
Enzyme
-1.215 -1 0 +1 +1.215
Cell/Xyl 0.4 0.45 0.7 0.95 1.0
XpoAE 0.1 0.12 0.25 0.38 0.4
AltFAE 0.1 0.14 0.3 0.46 0.5
Table 3. Regression coefficients value t.
bj b0 b1 b2 b3 b12 b13 b23 b11 b22 b33
206.946 29.954 5.501 7.323 -0.762 -1.212 2.288 -7.011 -1.561 -2.34
tj t0 t1 t2 t3 t12 t13 t23 t11 t22 t33
544.02 67.2 12.36 16.45 1.46 2.33 4.39 9.94 2.21 3.32
At tp(f) = t0.05(2) = 4.3 coefficients that have tj < 4.3 are inefficient including t12, t13, t22, t33
(Table 3). After rejecting the nonsense regression coefficients, we have the regression equation:
ɵy = 206.946 + 29.954x1 + 5.501x2 + 7.323x3 + 2.288x2x3 – 7.011 21x (1)
The values of ɵy at experimental points are shown in Table 4. The test of interoperability
of model was followed by Fisher Standard.
Residual variance:
15
2 2
2 1 1
( ) ( )
15 6
i i i i
i i
du
y y y y
s
N l
∧ ∧
= =
− −
= = =
− −
∑ ∑
29.46
and:
2
2
29.46 13.58
2.17
du
ts
sF
s
= = =
Use Fisher benchmark:
1 2 0.05(f ,f ) (9.2) 19.3pF F= =
See:
F < 1 2(f ,f )pF
So, the regression equation will be compatible with the experiment result. Experimental
results from using a second - degree polynomial model (Box-Wilson) were shown in Table 4.
Next, we will find the optimization or the maximum value of the function ɵy
Max ɵy (x1, x2, x3) with the binding conditions:
Vu Dinh Giap, Do Huu Chi, Pham Hong Hai, Tang Thi Chinh, Do Huu Nghi
426
1
2
3
1.215 1.215
1.215 1.215
1.215 1.215
x
x
x
− ≤ ≤
− ≤ ≤
− ≤ ≤
Table 4. Planning matrix and experimental results.
N0 xo x1 x2 x3 x1x2 x1x3 x2x3 x '1 x
'
2 x
'
3
y
(mg/g)
y
(mg/g)
1 + - - - + + + 0.27 0.27 0.27 153.6 159.44
2 + + - - - - + 0.27 0.27 0.27 219.5 219.35
3 + - + - - + - 0.27 0.27 0.27 160.4 165.87
4 + + + - + - - 0.27 0.27 0.27 224.2 225.78
5 + - - + + - - 0.27 0.27 0.27 164.8 169.52
6 + + - + - + - 0.27 0.27 0.27 226.8 229.42
7 + - + + - - + 0.27 0.27 0.27 181.7 185.09
8 + + + + + + + 0.27 0.27 0.27 239.7 245.00
9 + -1.215 0 0 0 0 0 0.745 -0.73 -0.73 163.4 163.54
10 + +1.215 0 0 0 0 0 0.745 -0.73 -0.73 227.9 236.33
11 + 0 -1.215 0 0 0 0 -0.73 0.745 -0.73 195.9 193.25
12 + 0 +1.215 0 0 0 0 -0.73 0.745 -0.73 211.5 206.62
13 + 0 0 -1.215 0 0 0 -0.73 -0.73 0.745 192.3 191.04
14 + 0 0 +1.215 0 0 0 -0.73 -0.73 0.745 212.8 208.83
15 + 0 0 0 0 0 0 -0.73 -0.73 -0.73 210.2 206.95
Experiment used flexible algorithm of nonlinear planning [6] that found ɵy max = 251.86
mg per gram bagasse with x1 = 1.215, x2 = 1.215, x3 = 1.215 or Cell/Xyl = 1 ml (100 U), AltFAE
= 0.5 ml (7.56 U), XpoAE = 0.4 ml (10.8 U), the ratio of enzyme (Cell/Xyl, AltFAE, XpoAE)
and substrate (bagasse meal) are 3.1.
Table 5. Result of using a second-degree polynomial model (Box – Wilson).
N0 Cell/Xyl
(ml)
XpoAE
(ml)
AltFAE
(ml)
Enzyme/Substrate
Ratio (ml/gram)
Total Reducing Sugars
(mg/gram substrate)
1 1 0.4 0.5 3.1 260.2
2 1.1 0.4 0.5 3.3 260.7
3 1.2 0.4 0.5 3.5 260.9
4 1 0.5 0.5 3.3 258.7
5 1 0.6 0.5 3.5 258.4
6 1 0.7 0.5 3.6 257.2
7 1 0.4 0.6 3.3 255.8
8 1 0.4 0.7 3.5 254.9
9 1 0.4 0.8 3.6 254.1
Using experimental planning to optimize the hydrolysis of sugar cane bagasse into fermentable
427
Results from Table 5 showed the degree of similarity between classical regression analysis
and experimental planning. Total reducing sugars reached 251.86 mg per gram substrate at
40 oC, pH = 5.0, in 48 hours incubation in rate of enzyme (Cell/Xyl, AltFAE, XpoAE) and
substrate (bagasse meal) is 3.1. The volume and enzyme activity respectively as follows:
Cell/Xyl = 1.0 ml (100 U), AltFAE = 0.5 ml (7.56 U), XpoAE = 0.4 ml (10.8 U). In the same
conditions, the control result was 260.2 mg reducing sugars. The experimental results also
showed that in the range of varying concentrations between three hydrolases, the total reducing
sugars was not only not increased but significantly decreased when the ratio of enzyme and
substrate increased. Indeed, the amount of enzyme added, the reaction rate increases but
increasing the enzyme concentration beyond a certain point, the substrate concentration becomes
the limiting factor, and at the certain point, the reaction rate will not increase but decrease.
4. CONCLUSION
The result has identified optimal conditions for bioconversion of sugar cane bagasse into
reducing sugars by mixed enzymes (Cell/Xyl, AltFAE, XpoAE ) at 400C, pH =5, 48 h incubation
with the ratio of enzyme (Cell/Xyl, AltFAE, XpoAE) and substrate (sugar cane bagasse meal) are
3.1. The applying the experimental planning method led to find the mathematical model that
describe equation of the bioconversion of bagasse into reducing sugars: ɵy = 206.946 + 29.954x1
+ 5.501x2 + 7.323x3 + 2.288x2x3 – 7.011 21x . By using flexible algorithm of nonlinear planning
we found the optimal conditions of enzyme mixture of conversion into reducing sugars that the
reaction reached ɵy max = 251.86 mg per gram bagasse with x1 = 1.215, x2 = 1.215, x3 = 1.215
or Cell/Xyl = 1 ml (100 U), AltFAE = 0.5 ml (7.56 U), XpoAE = 0.4 ml (10.8 U) on the test
range. Experimental verification has the same result in constant conditions and reached total
reducing sugars of 260.2 mg per gram substrate.
Acknowledgement: This work is supported by a grant from the National Foundation for Science and
Technology Development (NAFOSTED, No. 106-NN.02-2013.44).
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