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International Journal of Engineering Science Invention
ISSN (Online): 2319 – 6734, ISSN (Print): 2319 – 6726
www.ijesi.org Volume 2 Issue 9ǁ September 2013 ǁ PP.23-28

Statistical Optimization of Fermentation Conditions for
L-Glutamic Acid Production by Free Cells of Corynebacterium
Glutamicum ATCC13032
1

Dr.R.Srinu Venkat Rao, 2 Dr.V. Sridevi , 3Dr.A V N Swamy
1

Principal
Sreenivasa College Of Engineering & Technology, Kurnool-518218. A.P-INDIA
2
Associate professor
Department Of Chemical Engineering, AU College Of Engineering, Visakhapatnam-A.P, INDIA.-530003
3
Professor
Department Of Chemical Engineering, JNTUA College Of Engineering, Anantapur-515002 A.P, INDIA.

ABSTRACT :Response surface methodology (RSM) was used to optimize the fermentation variables for
enhancing L-Glutamic acid production by free cells of Corynebacteriunglutamicum.The effects of four
independent variables such as pH, Temperature, Agitation rate and Glucose concentration were found to be
significantly affecting the percentage yield of L-Glutamic acid. Further 24 factorial Central Composite Design
(CCD) was used to determine the optimal levels of significant variables .The predicted optimum values were
obtained as pH: 5.90, Temperature : 29.970C, Agitation rate: 158.58 rpm and glucose concentration:
101.04g/L. Under optimal conditions, the percentage yield of L-Glutamic acid production was 0.3518.The
determination coefficient (R2) was 0.9957, which ensures adequate credibility of the model.
KEYWORDS : L-Glutamic acid, free cells, Corynebacterium glutamicum, Process variables, Response surface
methodology (RSM), Optimization

I. INTRODUCTION
In early days of 1900s, MSG was extracted from natural protein rich foods, such as seaweed and it was
also prepared by the acid hydrolysis of wheat gluten or soybean protein which were expensive materials (Jyothi.
et.al, 2005). MSG is used in foods as a taste enhancer because of its own unique flavour called“Umami”in
Japanese. Prepared foods usually contain 0.1-0.8%MSG but especially in east Asian dishes a higher
supplementation is common( Herman.T,2003). Monosodium glutamate (MSG), the sodium salt of L-glutamic
acid is a popular flavour enhancer (Calik.G. et.al 2001) and additivefor foods. It was used primarily in Asian
foods but its use is now wide spread (Jyothi. et.al, 2005). L-Glutamic acid is widely used flavor enhancer, feed
supplements, food additives& therapeutic compound. L-Glutamic acid is mainly produced through microbial
method (Amin.G. et.al,2007).Mono Sodium Glutamate (MSG) is largest product out of all amino acids and
recent survey indicates that the production is about 1.5 million tons and the market is growing by about 6%
every year (Taoro.P. et.al.1963). L-Glutamic acid is produced mainly through microbial means because
chemical method produces a racemic mixture of DL-Glutamic acid. This production of Glutamic acid from
sugar is thought to proceed predominantly through the Embden-Meyerhof-Paranas (EMP) pathway and the early
steps of the tricarboxylic acid cycle, with oxygen acting as terminal electron acceptor (Jerome.b.et.al, 1969).
Various fermentation techniques have been reported for the production of L-Glutamic acid (Amin.G.et.al,
1993), but with wide variation in sugar conversion efficiency into L-Glutamic acid (Yoshioka.T. et.al, 1999). In
all systems and among the other parameters, excretion of L-Glutamic acid by bacterial cells was the rate limiting
factor (Sunuk.C.et.al, 2004). The demand for amino acid as food supplements and in pharmaceutical industries
is fast expanding.

II. MATERIALS AND METHODS
Microorganism
The organism employed throughout in this experimentation was Corynebacterium glutamicum ATCC
13032 obtained from Institute of Microbial Technology, Chandigarh (India) .The culture was maintained on the
agar slants of PASB medium containing composition (g/L) of peptone- 5,Agar -20, Sodium chloride-5 and
Beef extract-3.The pH of the medium adjusted to 7 and incubated at 370C for 24 hours.

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Statistical Optimization Of Fermentation…

Fermentation technique
A Completely grown slant of 24 hours old Corynebacterium glutamicum and were scrapped off and
suspended in 0.01 M citrate buffer (pH-7.0). The cell suspension was shaken thoroughly to break up the cell
aggregates. The cell count was determined by plating each mL of the cell suspension, on solid agar medium.
The cell counts were adjusted in the range of 10-5 to 10-9 cells per mL. The cells were grown for 24 h at 30°C in
250 mL Erlenmeyer flasks containing 50 mL of inoculation medium on a rotary shaker at 160 rpm. The cells
were separated from the inoculation medium by centrifugation and washed thoroughly with 0.01 M citrate
buffer (pH 7.0) Fermentations conditions were maintained at Temperature - 30°C, pH-6.0, Agitation rate 160rpm, Glucose concentration-100g/L, Aeration rate -1.0 vvm Biotin Concentration -1.0g/L and Fermentation
time – 96 hours. Among these parameters only significant parameters has been taken out for the optimization of
the production L-Glutamic acid.

III. RESULTS AND DISCUSSION
Optimization for free cells using Response Surface Methodology (RSM)
The effects of four independent variables (pH, Temperature, Agitation rate and glucose concentration)
on % yield of Glutamic acid are analyzed using Central Composite Design (CCD). The optimum conditions for
the four independent variables on the extent of Glutamic acid yield are formed within the quadratic model.
Levels of different process variables for percentage yield are shown in table–3.1
Table 3.1: Levels of different process variables in coded and un-coded form for
% yield of Glutamic acid using free cells
Variable
X1
X2
X3
X4

Name

-2
5
26
80
80

pH
Temperature, oC
Agitation rate, rpm
Glucose concentration, g/L

Range and levels
-1
0
1
5.5
6
6.5
28
30
32
120
160
200
90
100
110

2
7
34
240
120

Regression equation for the optimization of % yield by using STATISTICA Software 6.0 Version is:
% Yield of Glutamic acid (Y) is function of pH (X1), Temperature (X2), Agitation rate (X3) and Glucose
concentration (X4).
The multiple regression analysis of the experimental data has yield the following equation:
Y = –5.76515 + 0.64447 X1 + 0.17170 X2 + 0.00347 X3 + 0.02704 X4 – 0.055 X12 –0.00289X22 – 0.00001 X32 –
0.00014 X42 + 0.00013 X1X2 – 0.00004 X1X3 + 0.00007X1X4 – 0.00001 X2X3 + 0.00002 X2X4 – 0.0000 X3X4
----- (3.1)
Table-3.2 represents the results obtained in CCD. The response obtained in the form of analysis of variance
(ANOVA) from regression eq.3.1 is put together in table–3.3. Fischer‟s „F-statistics‟ value is defined as
MSmodel/MSerror, where MS is mean square. Fischer‟s „F-statistics‟ value, having a low probability „p‟ value,
indicates high significance.
Table 3.2: Results from CCD for % yield of Glutamic acid by free cells
Run
No.

X1,
pH

X2,
T

X3,
A.R

X4,
G.C

% yield of
Glutamic acid

Experimental
1
2
3
4
5
6
7
8
9
10

-1 (5.5)
-1 (5.5)
-1 (5.5)
-1 (5.5)
-1 (5.5)
-1 (5.5)
-1 (5.5)
-1 (5.5)
1 (6.5)
1 (6.5)

-1 (28)
-1 (28)
-1 (28)
-1 (28)
1 (32)
1 (32)
1 (32)
1 (32)
-1 (28)
-1 (28)

-1 (120)
-1 (120)
1 (200)
1 (200)
-1 (120)
-1 (120)
1 (200)
1 (200)
-1 (120)
-1 (120)

-1 (90)
1 (110)
-1 (90)
1 (110)
-1 (90)
1 (110)
-1 (90)
1 (110)
-1 (90)
1 (110)

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Predicted

0.2998
0.3068
0.3018
0.3052
0.3002
0.3066
0.2998
0.3038
0.2906
0.2966

0.300475
0.306308
0.302642
0.305275
0.299858
0.307492
0.299525
0.303958
0.290392
0.297625

24 | Page
Statistical Optimization Of Fermentation…
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

1 (6.5)
1 (6.5)
1 (6.5)
1 (6.5)
1 (6.5)
1 (6.5)
-2 (5.0)
2 (7.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)
0 (6.0)

-1 (28)
-1 (28)
1 (32)
1 (32)
1 (32)
1 (32)
0 (30)
0 (30)
-2 (26)
2 (34)
0 (30)
0 (30)
0 (30)
0 (30)
0 (30)
0 (30)
0 (30)
0 (30)
0 (30)
0 (30)

1 (200)
1 (200)
-1 (120)
-1 (120)
1 (200)
1 (200)
0 (160)
0 (160)
0 (160)
0 (160)
-2 (80)
2 (240)
0 (160)
0 (160)
0 (160)
0 (160)
0 (160)
0 (160)
0 (160)
0 (160)

-1 (90)
1 (110)
-1 (90)
1 (110)
-1 (90)
1 (110)
0 (100)
0 (100)
0 (100)
0 (100)
0 (100)
0 (100)
-2 (80)
2 (120)
0 (100)
0 (100)
0 (100)
0 (100)
0 (100)
0 (100)

0.2898
0.2934
0.2896
0.3002
0.2866
0.2928
0.3072
0.2859
0.3063
0.3042
0.2968
0.2926
0.2908
0.3022
0.3512
0.3512
0.3512
0.3512
0.3512
0.3512

0.289658
0.293692
0.290275
0.299308
0.287042
0.292875
0.306783
0.285617
0.305617
0.304183
0.296483
0.292217
0.290317
0.301983
0.351200
0.351200
0.351200
0.351200
0.351200
0.351200

Experimental conditions [Coded Values] and observed response values of central composite design
factorial runs, 6- central points and 8- axial points.

with 2 4

Table 3.3: ANOVA of % yield of Glutamic acid for entire quadratic model
Source of
variation

SS

df

Mean
square(MS)

F-value

P>F

Model

0.014709

14

0.00105064

2626.6

0.00000

Error

0.000006

15

0.0000004

Total

0.014715

Df- degree of freedom; SS- sum of squares; F- factor F; P- probability.
R2=0.99957; R2 (adj):0.99917
Table 3.4: Estimated regression coefficients for the % yield of Glutamic acid
Terms

Regression
coefficient
-5.76515
0.64447
-0.05500

Standard error of
the coefficient
0.060056
0.008451
0.000496

(2)Tempertaure, oC (L)

0.17170

Tempertaure, oC (Q)
(3)Agitation Rate, rpm(L)
Agitation Rate, rpm(Q)
(4)Glucose Concentration,
g/L(L)
Glucose Concentration,
g/L(Q)
1L by 2L
1L by 3L
1L by 4L
2L by 3L
2L by 4L
3L by 4L

-0.00289
0.00347
-0.00001

Mean/Interc.
(1)pH (L)
pH (Q)

t-value

P-value

-95.996
76.260
-110.912

0.000000
0.000000
0.000000

0.002275

75.475

0.000000

0.000031
0.000091
0.000000

-93.367
37.952
-114.642

0.000000
0.000000
0.000000

0.02704

0.000404

66.961

0.000000

-0.00014

0.000001

-111.012

0.000000

0.00013
-0.00004
0.00007
-0.00001
0.00002
-0.00000

0.000162
0.000008
0.000032
0.000002
0.000008
0.000000

0.770
-4.467
2.156
-3.850
2.772
-4.929

0.453204a
0.000453
0.047705
0.001572
0.014232
0.000182

a

insignificant (P ≥ 0.05)

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Statistical Optimization Of Fermentation…
The ANOVA of the regression model is sufficiently great, as proven from the Fisher‟s F-test (Fmodel = 2626.6)
and has a very low probability value (Pmodel > F=0.000000). Besides, the computed F-value [F0.05 (14.15) =
MSmodel/MSerror = 2626.6] is much higher compared to F-value (F0.05 (14.15) tabulars = 2.42) at 5% level, suggesting
that the treatment differences are sufficiently great. Student‟s t-test can implicate regression coefficient of the
parameter, while pattern of interactions amidst all the factors can be entailed by „p‟ values. It is noted from
table-3.4 that more significant corresponding coefficient term can be possessed by having high„t‟ value and low
„P‟ value. By analyzing„t‟ and „p‟ values from table-5.7, X3, X4, X12, X22, X32, X42, X1X3, X1X4, X2X3, X2X4 and
X4X3 have high importance to explain the individual and interaction effects of independent variables on the %
yield of glutamic acid to anticipate the response. Rest of the terms (X1X2) are undistinguished in eq.3.1. The
model is reduced to the following form by excluding undistinguished terms in eq.3.1.
Y = –5.76515 + 0.64447 X1 + 0.17170 X2 + 0.00347 X3 + 0.02704 X4 – 0.055 X12 –0.00289X22 – 0.00001 X32 –
0.00014 X42 – 0.00004 X1X3 + 0.00007X1X4 – 0.00001 X2X3 + 0.00002 X2X4 – 0.0000 X3X4 ------- (3.2)
Measure of the model‟s variability to the responses indicated is presented by correlation coefficient (R2). As R2
––> 1, model is inviolable and the response is estimated better. In our study, R2 = 0.99957 suggests that 0.043
% of the total variations are not adequately explained by the model. Statistical relevance of the ratio of mean
due to regression and mean square due to residual error is tested with the help of ANOVA. F-values implicate
that % yield of glutamic acid can be sufficiently explained by the model equation. If „P‟ value is lower than
0.05, the model is considered to be statistically significant at the 95 % confidence level. All square terms of all
variables (P < 0.05) are in good agreement (table 3.4) along with in linear terms also. All the interaction terms
(P < 0.05) are highly influential on the yield of Glutamic acid except X1X2.
Interpretation of residual graphs:
Normal probability plot (NPP) is a graphical technique used for analyzing whether or not a data set is
normally distributed to greater extent. The difference between the observed and predicted values from the
regression is termed as residual. Fig. 3.1 exhibits normal probability plot for the present data. It is evident that
the experimental data are reasonably aligned implying normal distribution.

Fig. 3.1

Normal probability plot for % yield of Glutamic acid

Interaction effects of variables: Three-dimensional view of response surface contour plots [Fig. 3.2 (a) to 3.2
(f)] exhibit % yield of Glutamic acid using free cells for different combinations of dependent variables. All the
plots are delineated as a function of two factors at a time, imposing other factors fixed at zero level. It is
evident from response surface contour plots that the % yield of Glutamic acid is minimal at low and high levels

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Statistical Optimization Of Fermentation…
of the variables. This behavior conforms that there is a presence of optimum for the input variables in order to
maximize % yield. The role played by all the variables is so vital in % yield of Glutamic acid and seen clearly
from the plots. The predicted optimal sets of conditions for maximum % yield are:
pH
=
5.9049
Temperature
=
29.9730 oC
Agitation rate
=
158.5875 rpm
Glucose Concentration
=
101.0435 g/L
% Yield of Glutamic acid
=
0.3518767
The experimental optimum values are compared in table-3.5. The experimental values are in close agreement
with those from CCD.
Table 3.5: Comparison between optimum values from Experimentation and CCD
Variable
pH
Temperature, oC
Agitation rate, rpm
Glucose Concentration, g/L
% Yield of Glutamic acid

Experimental
6
30
160
100
0.3313

CCD
5.90
29.97
158.58
101.04
0.3518

Fig. 3.2 (a) Surface contour plot for the effects of pH and temperature on % yield of Glutamic acid

Fig. 3.2 (b) Surface contour plot for the effects of pH and agitation rate on % yield of Glutamic acid

Fig. 3.2 (c) Surface contour plot for the effects of pH and glucose concentration on % yield of Glutamic
acid

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Statistical Optimization Of Fermentation…
Fig. 3.2 (d) Surface contour plot for the effects of temperature and agitation rate on % yield of Glutamic
acid

Fig 3.2 (e) Surface contour plot for the effects of temperature and glucose concentration on % yield of
Glutamic acid

Fig. 3.2 (f) Surface contour plot for the effects of agitation rate and glucose concentration on % yield of
Glutamic acid
IV .CONCLUSION
Response Surface methodology was used to optimize Fermentation parameters for L-Glutamic acid
production. It was found to be a very efficient method for optimization and fermentation conditions setting. We
screened four significantly affecting variables from seven variables. Using optimal conditions, the percentage
yield of L-Glutamic acid obtained by Central Composite Design was 0.3518 approximately equal to the
experimental yield 0.3313 percentage of L-Glutamic acid. These results are encouraging for optimization under
the pilot scale or industrial scale.

V. REFERENCES
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]

Amin. G, A. Al-Talhi (2007) Production of L-glutamic acid by Immobilizedcell Reactor of the bacterium Corynebacterium
glutamicum Entrapped intocarrageenan Gel beads. World Applied Sciences journal, 2(1): 62 -67
Amin, G., A.F. Shahaby and Khalaf Allah, (1993). Glutamic acid by product synthesis by immobilised cells of the
bacteriumCorynebacterium glutamicum. Biotechnol. Lett.,15; 1129-1132.
Calik, G., Unlutabak, F., & Ozdamar, T.H. (2001).Product and byproduct distributations in glutamic acid fermentation by
Brevibacteriumflavum; effects of the oxygen transfer. Biochemical Engineering, 9, 91-101
Hermann, T., (2003). Industrial production of amino acids by coryneform bacteria. J. Biotechnol. 104, 155-172
Jerome, B. and A. Demain, (1969). Reversal by Citrate of the Iodoacetate and Fluoride Inhibition of Glutamic acid production
byCorynebacterium glutamicum. Applied Microbiol.,18; 287-288.
Jyothi, A.N., Sasikiran, K., Nambisan, B., & Balagopalan, C.(2005). Optimization of glutamic acid production from cassava starch
factoryresidues using Brevibacterium divaricatum.Process Biochemistry, 40, 3576-3579
Sun-Uk, C., N. Takuya and Y. Toshioma, (2004). Enhanced glutamic acid production by Brevibacterium sp. With temperature
shift-upcultivation. J. Biosci.,Bioeng., 98; 211-213
Tauro, P., T.N. Ramachandra Rao, D.S. Johar and A. Srinivasan (1963) Studieson microbial production of glutamic acid. Food
Sci., 17: 263-266
Yoshioka, T., T. Ishii, Y. Kawahara, Y. Koyama and E. Shimizu, (1999). Method for producing L-glutamic acid by
continuousfermentation. United States patent 5869300.

.

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International Journal of Engineering and Science Invention (IJESI)

  • 1. International Journal of Engineering Science Invention ISSN (Online): 2319 – 6734, ISSN (Print): 2319 – 6726 www.ijesi.org Volume 2 Issue 9ǁ September 2013 ǁ PP.23-28 Statistical Optimization of Fermentation Conditions for L-Glutamic Acid Production by Free Cells of Corynebacterium Glutamicum ATCC13032 1 Dr.R.Srinu Venkat Rao, 2 Dr.V. Sridevi , 3Dr.A V N Swamy 1 Principal Sreenivasa College Of Engineering & Technology, Kurnool-518218. A.P-INDIA 2 Associate professor Department Of Chemical Engineering, AU College Of Engineering, Visakhapatnam-A.P, INDIA.-530003 3 Professor Department Of Chemical Engineering, JNTUA College Of Engineering, Anantapur-515002 A.P, INDIA. ABSTRACT :Response surface methodology (RSM) was used to optimize the fermentation variables for enhancing L-Glutamic acid production by free cells of Corynebacteriunglutamicum.The effects of four independent variables such as pH, Temperature, Agitation rate and Glucose concentration were found to be significantly affecting the percentage yield of L-Glutamic acid. Further 24 factorial Central Composite Design (CCD) was used to determine the optimal levels of significant variables .The predicted optimum values were obtained as pH: 5.90, Temperature : 29.970C, Agitation rate: 158.58 rpm and glucose concentration: 101.04g/L. Under optimal conditions, the percentage yield of L-Glutamic acid production was 0.3518.The determination coefficient (R2) was 0.9957, which ensures adequate credibility of the model. KEYWORDS : L-Glutamic acid, free cells, Corynebacterium glutamicum, Process variables, Response surface methodology (RSM), Optimization I. INTRODUCTION In early days of 1900s, MSG was extracted from natural protein rich foods, such as seaweed and it was also prepared by the acid hydrolysis of wheat gluten or soybean protein which were expensive materials (Jyothi. et.al, 2005). MSG is used in foods as a taste enhancer because of its own unique flavour called“Umami”in Japanese. Prepared foods usually contain 0.1-0.8%MSG but especially in east Asian dishes a higher supplementation is common( Herman.T,2003). Monosodium glutamate (MSG), the sodium salt of L-glutamic acid is a popular flavour enhancer (Calik.G. et.al 2001) and additivefor foods. It was used primarily in Asian foods but its use is now wide spread (Jyothi. et.al, 2005). L-Glutamic acid is widely used flavor enhancer, feed supplements, food additives& therapeutic compound. L-Glutamic acid is mainly produced through microbial method (Amin.G. et.al,2007).Mono Sodium Glutamate (MSG) is largest product out of all amino acids and recent survey indicates that the production is about 1.5 million tons and the market is growing by about 6% every year (Taoro.P. et.al.1963). L-Glutamic acid is produced mainly through microbial means because chemical method produces a racemic mixture of DL-Glutamic acid. This production of Glutamic acid from sugar is thought to proceed predominantly through the Embden-Meyerhof-Paranas (EMP) pathway and the early steps of the tricarboxylic acid cycle, with oxygen acting as terminal electron acceptor (Jerome.b.et.al, 1969). Various fermentation techniques have been reported for the production of L-Glutamic acid (Amin.G.et.al, 1993), but with wide variation in sugar conversion efficiency into L-Glutamic acid (Yoshioka.T. et.al, 1999). In all systems and among the other parameters, excretion of L-Glutamic acid by bacterial cells was the rate limiting factor (Sunuk.C.et.al, 2004). The demand for amino acid as food supplements and in pharmaceutical industries is fast expanding. II. MATERIALS AND METHODS Microorganism The organism employed throughout in this experimentation was Corynebacterium glutamicum ATCC 13032 obtained from Institute of Microbial Technology, Chandigarh (India) .The culture was maintained on the agar slants of PASB medium containing composition (g/L) of peptone- 5,Agar -20, Sodium chloride-5 and Beef extract-3.The pH of the medium adjusted to 7 and incubated at 370C for 24 hours. www.ijesi.org 23 | Page
  • 2. Statistical Optimization Of Fermentation… Fermentation technique A Completely grown slant of 24 hours old Corynebacterium glutamicum and were scrapped off and suspended in 0.01 M citrate buffer (pH-7.0). The cell suspension was shaken thoroughly to break up the cell aggregates. The cell count was determined by plating each mL of the cell suspension, on solid agar medium. The cell counts were adjusted in the range of 10-5 to 10-9 cells per mL. The cells were grown for 24 h at 30°C in 250 mL Erlenmeyer flasks containing 50 mL of inoculation medium on a rotary shaker at 160 rpm. The cells were separated from the inoculation medium by centrifugation and washed thoroughly with 0.01 M citrate buffer (pH 7.0) Fermentations conditions were maintained at Temperature - 30°C, pH-6.0, Agitation rate 160rpm, Glucose concentration-100g/L, Aeration rate -1.0 vvm Biotin Concentration -1.0g/L and Fermentation time – 96 hours. Among these parameters only significant parameters has been taken out for the optimization of the production L-Glutamic acid. III. RESULTS AND DISCUSSION Optimization for free cells using Response Surface Methodology (RSM) The effects of four independent variables (pH, Temperature, Agitation rate and glucose concentration) on % yield of Glutamic acid are analyzed using Central Composite Design (CCD). The optimum conditions for the four independent variables on the extent of Glutamic acid yield are formed within the quadratic model. Levels of different process variables for percentage yield are shown in table–3.1 Table 3.1: Levels of different process variables in coded and un-coded form for % yield of Glutamic acid using free cells Variable X1 X2 X3 X4 Name -2 5 26 80 80 pH Temperature, oC Agitation rate, rpm Glucose concentration, g/L Range and levels -1 0 1 5.5 6 6.5 28 30 32 120 160 200 90 100 110 2 7 34 240 120 Regression equation for the optimization of % yield by using STATISTICA Software 6.0 Version is: % Yield of Glutamic acid (Y) is function of pH (X1), Temperature (X2), Agitation rate (X3) and Glucose concentration (X4). The multiple regression analysis of the experimental data has yield the following equation: Y = –5.76515 + 0.64447 X1 + 0.17170 X2 + 0.00347 X3 + 0.02704 X4 – 0.055 X12 –0.00289X22 – 0.00001 X32 – 0.00014 X42 + 0.00013 X1X2 – 0.00004 X1X3 + 0.00007X1X4 – 0.00001 X2X3 + 0.00002 X2X4 – 0.0000 X3X4 ----- (3.1) Table-3.2 represents the results obtained in CCD. The response obtained in the form of analysis of variance (ANOVA) from regression eq.3.1 is put together in table–3.3. Fischer‟s „F-statistics‟ value is defined as MSmodel/MSerror, where MS is mean square. Fischer‟s „F-statistics‟ value, having a low probability „p‟ value, indicates high significance. Table 3.2: Results from CCD for % yield of Glutamic acid by free cells Run No. X1, pH X2, T X3, A.R X4, G.C % yield of Glutamic acid Experimental 1 2 3 4 5 6 7 8 9 10 -1 (5.5) -1 (5.5) -1 (5.5) -1 (5.5) -1 (5.5) -1 (5.5) -1 (5.5) -1 (5.5) 1 (6.5) 1 (6.5) -1 (28) -1 (28) -1 (28) -1 (28) 1 (32) 1 (32) 1 (32) 1 (32) -1 (28) -1 (28) -1 (120) -1 (120) 1 (200) 1 (200) -1 (120) -1 (120) 1 (200) 1 (200) -1 (120) -1 (120) -1 (90) 1 (110) -1 (90) 1 (110) -1 (90) 1 (110) -1 (90) 1 (110) -1 (90) 1 (110) www.ijesi.org Predicted 0.2998 0.3068 0.3018 0.3052 0.3002 0.3066 0.2998 0.3038 0.2906 0.2966 0.300475 0.306308 0.302642 0.305275 0.299858 0.307492 0.299525 0.303958 0.290392 0.297625 24 | Page
  • 3. Statistical Optimization Of Fermentation… 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 (6.5) 1 (6.5) 1 (6.5) 1 (6.5) 1 (6.5) 1 (6.5) -2 (5.0) 2 (7.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) 0 (6.0) -1 (28) -1 (28) 1 (32) 1 (32) 1 (32) 1 (32) 0 (30) 0 (30) -2 (26) 2 (34) 0 (30) 0 (30) 0 (30) 0 (30) 0 (30) 0 (30) 0 (30) 0 (30) 0 (30) 0 (30) 1 (200) 1 (200) -1 (120) -1 (120) 1 (200) 1 (200) 0 (160) 0 (160) 0 (160) 0 (160) -2 (80) 2 (240) 0 (160) 0 (160) 0 (160) 0 (160) 0 (160) 0 (160) 0 (160) 0 (160) -1 (90) 1 (110) -1 (90) 1 (110) -1 (90) 1 (110) 0 (100) 0 (100) 0 (100) 0 (100) 0 (100) 0 (100) -2 (80) 2 (120) 0 (100) 0 (100) 0 (100) 0 (100) 0 (100) 0 (100) 0.2898 0.2934 0.2896 0.3002 0.2866 0.2928 0.3072 0.2859 0.3063 0.3042 0.2968 0.2926 0.2908 0.3022 0.3512 0.3512 0.3512 0.3512 0.3512 0.3512 0.289658 0.293692 0.290275 0.299308 0.287042 0.292875 0.306783 0.285617 0.305617 0.304183 0.296483 0.292217 0.290317 0.301983 0.351200 0.351200 0.351200 0.351200 0.351200 0.351200 Experimental conditions [Coded Values] and observed response values of central composite design factorial runs, 6- central points and 8- axial points. with 2 4 Table 3.3: ANOVA of % yield of Glutamic acid for entire quadratic model Source of variation SS df Mean square(MS) F-value P>F Model 0.014709 14 0.00105064 2626.6 0.00000 Error 0.000006 15 0.0000004 Total 0.014715 Df- degree of freedom; SS- sum of squares; F- factor F; P- probability. R2=0.99957; R2 (adj):0.99917 Table 3.4: Estimated regression coefficients for the % yield of Glutamic acid Terms Regression coefficient -5.76515 0.64447 -0.05500 Standard error of the coefficient 0.060056 0.008451 0.000496 (2)Tempertaure, oC (L) 0.17170 Tempertaure, oC (Q) (3)Agitation Rate, rpm(L) Agitation Rate, rpm(Q) (4)Glucose Concentration, g/L(L) Glucose Concentration, g/L(Q) 1L by 2L 1L by 3L 1L by 4L 2L by 3L 2L by 4L 3L by 4L -0.00289 0.00347 -0.00001 Mean/Interc. (1)pH (L) pH (Q) t-value P-value -95.996 76.260 -110.912 0.000000 0.000000 0.000000 0.002275 75.475 0.000000 0.000031 0.000091 0.000000 -93.367 37.952 -114.642 0.000000 0.000000 0.000000 0.02704 0.000404 66.961 0.000000 -0.00014 0.000001 -111.012 0.000000 0.00013 -0.00004 0.00007 -0.00001 0.00002 -0.00000 0.000162 0.000008 0.000032 0.000002 0.000008 0.000000 0.770 -4.467 2.156 -3.850 2.772 -4.929 0.453204a 0.000453 0.047705 0.001572 0.014232 0.000182 a insignificant (P ≥ 0.05) www.ijesi.org 25 | Page
  • 4. Statistical Optimization Of Fermentation… The ANOVA of the regression model is sufficiently great, as proven from the Fisher‟s F-test (Fmodel = 2626.6) and has a very low probability value (Pmodel > F=0.000000). Besides, the computed F-value [F0.05 (14.15) = MSmodel/MSerror = 2626.6] is much higher compared to F-value (F0.05 (14.15) tabulars = 2.42) at 5% level, suggesting that the treatment differences are sufficiently great. Student‟s t-test can implicate regression coefficient of the parameter, while pattern of interactions amidst all the factors can be entailed by „p‟ values. It is noted from table-3.4 that more significant corresponding coefficient term can be possessed by having high„t‟ value and low „P‟ value. By analyzing„t‟ and „p‟ values from table-5.7, X3, X4, X12, X22, X32, X42, X1X3, X1X4, X2X3, X2X4 and X4X3 have high importance to explain the individual and interaction effects of independent variables on the % yield of glutamic acid to anticipate the response. Rest of the terms (X1X2) are undistinguished in eq.3.1. The model is reduced to the following form by excluding undistinguished terms in eq.3.1. Y = –5.76515 + 0.64447 X1 + 0.17170 X2 + 0.00347 X3 + 0.02704 X4 – 0.055 X12 –0.00289X22 – 0.00001 X32 – 0.00014 X42 – 0.00004 X1X3 + 0.00007X1X4 – 0.00001 X2X3 + 0.00002 X2X4 – 0.0000 X3X4 ------- (3.2) Measure of the model‟s variability to the responses indicated is presented by correlation coefficient (R2). As R2 ––> 1, model is inviolable and the response is estimated better. In our study, R2 = 0.99957 suggests that 0.043 % of the total variations are not adequately explained by the model. Statistical relevance of the ratio of mean due to regression and mean square due to residual error is tested with the help of ANOVA. F-values implicate that % yield of glutamic acid can be sufficiently explained by the model equation. If „P‟ value is lower than 0.05, the model is considered to be statistically significant at the 95 % confidence level. All square terms of all variables (P < 0.05) are in good agreement (table 3.4) along with in linear terms also. All the interaction terms (P < 0.05) are highly influential on the yield of Glutamic acid except X1X2. Interpretation of residual graphs: Normal probability plot (NPP) is a graphical technique used for analyzing whether or not a data set is normally distributed to greater extent. The difference between the observed and predicted values from the regression is termed as residual. Fig. 3.1 exhibits normal probability plot for the present data. It is evident that the experimental data are reasonably aligned implying normal distribution. Fig. 3.1 Normal probability plot for % yield of Glutamic acid Interaction effects of variables: Three-dimensional view of response surface contour plots [Fig. 3.2 (a) to 3.2 (f)] exhibit % yield of Glutamic acid using free cells for different combinations of dependent variables. All the plots are delineated as a function of two factors at a time, imposing other factors fixed at zero level. It is evident from response surface contour plots that the % yield of Glutamic acid is minimal at low and high levels www.ijesi.org 26 | Page
  • 5. Statistical Optimization Of Fermentation… of the variables. This behavior conforms that there is a presence of optimum for the input variables in order to maximize % yield. The role played by all the variables is so vital in % yield of Glutamic acid and seen clearly from the plots. The predicted optimal sets of conditions for maximum % yield are: pH = 5.9049 Temperature = 29.9730 oC Agitation rate = 158.5875 rpm Glucose Concentration = 101.0435 g/L % Yield of Glutamic acid = 0.3518767 The experimental optimum values are compared in table-3.5. The experimental values are in close agreement with those from CCD. Table 3.5: Comparison between optimum values from Experimentation and CCD Variable pH Temperature, oC Agitation rate, rpm Glucose Concentration, g/L % Yield of Glutamic acid Experimental 6 30 160 100 0.3313 CCD 5.90 29.97 158.58 101.04 0.3518 Fig. 3.2 (a) Surface contour plot for the effects of pH and temperature on % yield of Glutamic acid Fig. 3.2 (b) Surface contour plot for the effects of pH and agitation rate on % yield of Glutamic acid Fig. 3.2 (c) Surface contour plot for the effects of pH and glucose concentration on % yield of Glutamic acid www.ijesi.org 27 | Page
  • 6. Statistical Optimization Of Fermentation… Fig. 3.2 (d) Surface contour plot for the effects of temperature and agitation rate on % yield of Glutamic acid Fig 3.2 (e) Surface contour plot for the effects of temperature and glucose concentration on % yield of Glutamic acid Fig. 3.2 (f) Surface contour plot for the effects of agitation rate and glucose concentration on % yield of Glutamic acid IV .CONCLUSION Response Surface methodology was used to optimize Fermentation parameters for L-Glutamic acid production. It was found to be a very efficient method for optimization and fermentation conditions setting. We screened four significantly affecting variables from seven variables. Using optimal conditions, the percentage yield of L-Glutamic acid obtained by Central Composite Design was 0.3518 approximately equal to the experimental yield 0.3313 percentage of L-Glutamic acid. These results are encouraging for optimization under the pilot scale or industrial scale. V. REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] Amin. G, A. Al-Talhi (2007) Production of L-glutamic acid by Immobilizedcell Reactor of the bacterium Corynebacterium glutamicum Entrapped intocarrageenan Gel beads. World Applied Sciences journal, 2(1): 62 -67 Amin, G., A.F. Shahaby and Khalaf Allah, (1993). Glutamic acid by product synthesis by immobilised cells of the bacteriumCorynebacterium glutamicum. Biotechnol. Lett.,15; 1129-1132. Calik, G., Unlutabak, F., & Ozdamar, T.H. (2001).Product and byproduct distributations in glutamic acid fermentation by Brevibacteriumflavum; effects of the oxygen transfer. Biochemical Engineering, 9, 91-101 Hermann, T., (2003). Industrial production of amino acids by coryneform bacteria. J. Biotechnol. 104, 155-172 Jerome, B. and A. Demain, (1969). Reversal by Citrate of the Iodoacetate and Fluoride Inhibition of Glutamic acid production byCorynebacterium glutamicum. Applied Microbiol.,18; 287-288. Jyothi, A.N., Sasikiran, K., Nambisan, B., & Balagopalan, C.(2005). Optimization of glutamic acid production from cassava starch factoryresidues using Brevibacterium divaricatum.Process Biochemistry, 40, 3576-3579 Sun-Uk, C., N. Takuya and Y. Toshioma, (2004). Enhanced glutamic acid production by Brevibacterium sp. With temperature shift-upcultivation. J. Biosci.,Bioeng., 98; 211-213 Tauro, P., T.N. Ramachandra Rao, D.S. Johar and A. Srinivasan (1963) Studieson microbial production of glutamic acid. Food Sci., 17: 263-266 Yoshioka, T., T. Ishii, Y. Kawahara, Y. Koyama and E. Shimizu, (1999). Method for producing L-glutamic acid by continuousfermentation. United States patent 5869300. . www.ijesi.org 28 | Page