An Unified Mathematical Expression for Ideal Peppas Model: Prospective Estimation of percent deviation

 

Ravindra Babu Baggi1*, Dr. Naveen Babu Kilaru2

1Department of Pharmaceutics, Sri Siddhartha Pharmacy College, Nuzvid, 521201, India.

2Department of Pharmaceutical Biotechnology, KVSR Siddhartha Pharmacy College, Vijayawada, 520010, India.

*Corresponding Author E-mail: baggi.ravi39@gmail.com

 

ABSTRACT:

The aim of this study was to design and evaluate controlled-release formulations of a model drug, Nicorandil using gastroretentive approach. The dissolution test was employed using 0.1N HCL (pH 1.2) to measure the in vitro release behaviour of Nicorandil formulations. The best formulation of MCS4 is selected based on the identical drug release profile with theoretical release data which follows zero order and Higuchi model based on their higher square of correlation coefficient (R2) and adjusted coefficient of determination (). In order to evaluate the modeling of drug release from swellable polymeric systems, the drug release data was fitted into Korsmeyer-Peppas equation and the model showed higher R2 and   (0.9974 and 0.9971, respectively) with the diffusional exponent value (n) of 0.87. Further, the drug release of best formulation is checked for its deviation from an ideal release profile of Peppas model and confirmed that the test formulation is slightly deviate the ideal Peppas model.

 

KEY WORDS: Controlled release; Buoyancy; Diffusional exponent; Percent deviation, Two-tiered method.

 

 


INTRODUCTION:

The oral route is considered as the most promising and popular route of drug delivery because the low cost of the therapy and ease of administration lead to high levels of patient compliance. More than 50% of the drug delivery systems available in the market are oral drug delivery systems including conventional or modified drug delivery system[1]. Conventional drug delivery system achieves as well as maintains the drug concentration within the therapeutically effective range needed for treatment, only when taken several times a day, if the drug has short biological half-life. There may be chance for dosing errors leads to lower or higher levels of the drug in blood needed to treatment. Development of prolonged release systems like controlled/ sustained release preparations using alternative routes have been formulated but the oral route still remains preferable[2].  

Over the last three decades, various attempts have been done to enhance the residence time there by retain the dosage form in the stomach as a way of increasing retention time[3]. Gastro retentive system can remain in the gastric region for several hours and hence significantly prolong the gastric residence time of the drug in the GIT thereby improves the rate of absorption followed by enhancement of bioavailability, reducing drug waste and enhance the solubility of drugs that are less soluble in high pH environment.

 

The present research is focused to develop Nicorandil gastro retentive tablets by melt granulation technique using combination of hydrophilic plus retarding plus swellable natural gum like almond gum (hereinafter called as AG) and hydrophobic plus retarding polymer like cetosteryl alcohol (hereinafter called as CSA)  selected to develop floating tablets because the drug is highly water soluble[4]. Nicorandil is common choice of drug in cardiovascular diseases like hypertension and angina pectoris, which require constant monitoring. Nicorandil has a short elimination half-life of 1.33 hr [5] and the immediate-release (IR) tablets of the drug has to be given frequently at three times a day. To reduce the frequency of administration and to improve patient compliance, a once-daily controlled release formulation of Nicorandil is desirable. Here, Nicorandil gastro retentive tablets are prepared by melt granulation technique. The prepared tablets are evaluated for in vitro drug release study followed by drug release mechanism using Korsmeyer-Peppas model. Further, the resulting values are compared with theoretical percentage of drug released in order to determine the percentage deviation from an ideal release profile.

 

MATERIALS AND METHODS:

Materials:

Nicorandil was obtained as a gift sample from Torrent Pharmaceuticals (P) Ltd., Gujarat, India; Cetosteryl alcohol obtained from Loba Chemical, Mumbai, India; Sodium bicarbonate, Citric acid and Lactose were purchased from SD fine chemicals, Mumbai, India; Talc from Accord labs, Hyderabad, India. All other chemicals and reagents used were analytical grade.

 

Methods:

Calculation of Theoretical Release Profile of Nicorandil from Controlled Release Formulations[6,7]:

The following procedure were commonly used to calculate Loading (Immediate release) dose and Maintenance dose:

 

Where, Xo = Conventional daily dose (20 mg), Ke = First order elimination rate constant (0.521 hr-1)[5],  (Toe) = Dosing interval (24 hr), Tp = Time to reach peak plasma concentration (0.448 hr) [8]. By substituting the kinetic values of Nicorandil in the above equations the results as follows, DI = 1.599 mg, Dm = 19.173 mg (for rest of 23 hr excluding DI), DI* = 1.226 mg, and DT = 20.399 ≈ 21 mg.

 

Hence, an oral controlled release floating matrix tablets of Nicorandil should contain a total dose of 21 mg (approximately) for 24 hrs and should release 1.226 mg (6.01 %) in the first hour like conventional dosage form and rest of the dose (20.339 - 1.226 = 19.173 mg) in remaining 23 hrs, i.e. 0.833 mg (4.08%) per hour thereafter (up to 24 hrs). The theoretical drug release profile can be generated using the above value which was shown in Table 5.

 

Preparation of Effervescent Floating Tablets by Melt Granulation Technique:

Nicorandil effervescent floating tablets were prepared by direct compression technique using combination of AG and CSA as retarding polymer. The composition of various formulations of effervescent tablets with their codes is listed in Table 1. All the ingredients except wax were passed through sieve 60 (#). The wax/oil were melted in large china dish on hot plate and drug is added to it. Then to this mixture, other sieved ingredients except talc are added and stirred well to mix. The resultant mixture is allowed to solidify at room temperature and then passed through sieve 44 (#) to form granules. The granules are lubricated by adding talc extra granularly. The lubricated granules were then compressed into a tablet using 10 mm standard flat-face punches on 6 station tabletting machine.


 

 

Table 1: Composition of Nicorandil floating tablets using different amounts of AG and CSA       

Ingredients

Quantity per tablet (mg)

MCS

1

MCS

2

MCS

3

MCS

4

MCS

5

MCS

6

MCS

7

MCS

8

MCS

9

MCS

10

MCS

11

MCS

12

NCRD

21

21

21

21

21

21

21

21

21

21

21

21

AG

100

90

80

70

60

50

70

70

70

80

90

100

CSA

50

60

70

80

90

100

90

100

110

80

80

80

NaHCO3

30

30

30

30

30

30

30

30

30

30

30

30

CA

10

10

10

10

10

10

10

10

10

10

10

10

SA

5

5

5

5

5

5

5

5

5

5

5

5

Lactose

78

78

78

78

78

78

68

58

48

68

58

48

Talc

6

6

6

6

6

6

6

6

6

6

6

6

 (NCRD = Nicorandil, AG = Almond gum, CSA = Cetosteryl alcohol, NaHCO3 = Sodium bicarbonate, CA = Citric acid, SA = Stearic acid).

 

 


In vitro Release Studies of Prepared Tablets[9]:

The release rate of Nicorandil from prepared floating matrix tablets was determined using USP dissolution testing apparatus II (Paddle type). The dissolution test was performed using 900 ml of 0.1N HCL, at 37 ± 0.5°C and 50 rpm. A sample (5ml) of the specimen was withdrawn from the dissolution apparatus periodically, and the samples were replaced with fresh dissolution medium. After filtration and appropriate dilution (if necessary), the absorbance of sample preparations was measured in 1cm cell on UV spectrophotometer at 272 nm using 0.1N hydrochloric acid as blank. Triplicate runs were carried out and the results were averaged.      

 

RESULTS AND DISCUSSION:

Drug release from Nicorandil floating tablets evaluated at 0.1N HCl (pH 1.2) influenced by polymer concentration. Release rate usually depends upon the presence of drug closer to the surface which decreases with increasing hydrophobic polymer concentration and decreases the amount of uncoated drug[10]. All the formulation showed maximum amount of drug release for prolonged period of time about 24 hr. From Table 2 it can be observed that, the drug release for the formulations MCS1, MCS2,  MCS3, MCS4, MCS5, and MCS6 is found to be 99.686 %, 99.174 %, 98.786 %, 97.264 %, 94.042 % and 91.528 %, respectively at the end of 24 hours (Table 2). The fact can be reasoned in the way that, an increase in the hydrophobic polymer content results in decrease the drug release rate due to  decrease in the total porosity of the matrices (initial porosity plus porosity due to the dissolution of the drug)  and also increases the tortuosity of the matrix and drug diffusion path-length which in turn slows down diffusion and erosion from/of the matrix. These behaviour can be explained in terms of release mechanism and suggested that, because of the high hydrophobicity of lipid materials, penetration of dissolution fluid was hindered through the matrix and can progress in the dosage form by dissolving the grains of drug in contact with it and leading to diminished drug release over an extended period. Further, the dissolution of the drug particles on the surface of the matrix allows the formation of channels, from which the drug was slowly released followed by formation of a denser gel and slower erosion. The formulations MCS7, MCS8 and MCS9 were prepared with ascending concentration of CSA by maintaining static concentration of AG (70 mg) and the drug release at the end of 24 hr was observed approximately as 95.361%, 92.763 % and 89.325 %, respectively. The formulations MCS10, MCS11 and MCS12 were prepared with ascending concentration of AG (80 mg, 90 mg and 100 mg, respectively)  by maintaining static concentration of CSA (80 mg) and the drug release at the end of 24 hr was observed as 96.463%, 92.763 % and 89.325 %, respectively. It was observed that, at constant level of AG (70 mg), increment of CSA significantly retard the drug release. The release profiles of Nicorandil from floating tablets made at different lipid-wax concentrations showed that the increase in the amount of CSA when maintained a static AG concentration yielded a slower drug release. Interestingly,  the same result was observed with ascending concentration of AG when maintained a static concentration of CSA i.e. with increased AG concentration and at a constant level of CSA, yielded a slower drug release. The reason in former case may be, when the CSA content in the matrix was increased may cause slower penetration of the dissolution medium in matrices as a result of increased lipophilicity and leading to diminished drug release. The reason in later case may be, an increase in hydrophilic polymer concentration causes higher degree of swelling when contact with dissolution media which was accountable for increased viscosity of gel as well as gel layer with long diffusion path which cause a decrease in effective diffusion coefficient of drug and reduction in drug release rate from the swelled tablet containing higher concentration of hydrophilic polymer.


 

 

Table 2: In vitro drug release profiles of Nicorandil from floating tablets.

Time

(hr)

MCS 1

MCS2

MCS3

MCS4

MCS5

MCS6

MCS7

MCS8

MCS9

MCS

10

MCS

11

MCS12

1

0

0

0

0

0

0

0

0

0

0

0

0

2

4.79

5.11

5.36

5.81

5.22

4.53

5.43

4.86

3.99

5.65

5.12

4.16

3

6.85

7.865

8.27

9.718

8.184

6.937

8.648

7.974

6.115

9.215

8.426

6.472

4

9.09

10.21

11.14

13.99

13.79

10.27

11.57

12.37

8.97

12.37

13.53

9.63

5

11.87

13.79

15.47

17.82

18.39

13.63

15.66

14.27

12.65

17.48

16.58

13.37

6

15.46

17.69

19.54

21.61

20.38

18.53

20.87

22.86

14.26

27.16

25.35

15.74

9

20.44

22.14

23.16

25.02

28.63

20.86

27.43

28.52

16.89

33.25

30.56

18.77

12

30.55

32.66

34.74

36.02

37.73

32.52

36.53

35.25

33.46

41.53

37.62

32.66

15

43.26

45.37

47.27

49.62

51.27

41.27

48.66

43.31

38.54

50.27

47.42

42.825

18

57.46

60.66

62.55

60.02

58.64

55.37

58.32

57.47

56.33

63.46

60.33

59.17

24

70.63

73.46

75.25

73.16

69.27

68.37

70.66

70.56

61.17

73.65

72.15

65.72

 

 

 


The formulation MCS4 released the drug in the same manner of theoretical release profile as calculated using Robinson Erickson equation and selected as best formulation. Drug release kinetics for formulation MCS4 was showed the highest linearity for R2 and   explained by zero order kinetics (0.9994 and 0.9993 respectively) than first order kinetics (0.7563 and 0.7292, respectively) calculated by Microsoft Office Excel-2007. It was notable that R2 and  values were closed to one for zero order, indicating the drug release followed nearly independent of initial drug concentration in the matrix. The fitting of drug release data by appropriate mathematical models that supports the interpretation and comprehension of  Higuchi’s mechanism (drug release by diffusion) as dominant mechanism in which the plots showed the highest linearity for R2 and   (0.9224 and 0.9146, respectively) than Hixson-Crowell (drug release by dissolution) equation (0.9162 and 0.9078, respectively). As these values were highest for Higuchi’s plot indicating the data fits the Higuchi’s model well and the drug release was found to be predominantly controlled by diffusion process. Furthermore, these models might fail whenever there was a need for taking drug release into account specific physicochemical processes. In order to evaluate the modeling of drug release from swellable polymeric systems, the drug release data was fitted into Korsmeyer-Peppas equation and the model showed higher R2 and   (0.9974 and 0.9971, respectively) with the diffusional exponent value (n) of 0.87. Analogously, Case-II transport was defined by an initial linear time dependence of the functional release with n=0.89±0.02 (0.87 to 0.91). Therefore, the value of diffusional exponent (n) form the selected formulation (MCS4) characterize an Case-II transport.

 

Mathematical Method for Quantitative Expression of Deviation from Korsmeyer-Peppas Equation:

Theoretical Consideration:

The first step was to calculate the theoretical prospective for cumulative percentage of drug released for 24 hr at predetermined time intervals using Korsmeyer-Peppas equation (hereinafter called as Peppas equation). The straight line of theoretical cumulative percentage (or fraction) of drug released versus (time in hr)0.87 is considered as a reference line (Figure 1).

              

From the graph (Figure 1), the dissolution of drug from dosage forms that do not disaggregate and release the drug followed Korsmeyer-Peppas equation at time 't' can be predicted by the following equation,

 

Figure 1: Area under the curve for an ideal release profile form Korsmeyer-Peppas equation.

 

 

The value of n (0.87) is incorporated in the above equation to get a new equation of,

And at time (t-a), the above equation can be predicted by,

 

Where, Mt= absolute cumulative amount of drug released at time , M=  absolute cumulative amount of drug release after infinite time (which should be equal to the absolute amount of drug incorporated within the system at time t= 0), Mt/M∞ = fraction of drug released at time 't', kKP= release rate constant at the elapsed time  (time-n) incorporating structural and geometric characteristics of the release device, which was dependent of the system, i.e. polymer, solvent, drug loading, excipients, etc., n= the time  exponent or diffusional exponent characteristic of the release mechanism of the system and this value was used to characterize different release for cylindrical shaped matrices, and a = difference between two successive sampling time points.

 

Because the relationship between the percentage of drug released and time was linear, the entire dissolution profile can be calculated and compared using the area under the curve (AUC) which was calculated by the Trapezoidal rule. In order to calculate AUC, the curve was divided into trapeziums based on data and the sum of areas of all trapeziums gives AUC up to last sampling points. If the data (time) points were not evenly separated, the ideal drug release profile and AUC were calculated according to the specific sampling time. AUC was the total integrated area under the drug concentration versus time profile and calculated by Trapezoidal rule as follows,

 

 

Where, Ca = Cumulative % of drug released at time 'ta' and Ca-1 = Cumulative % of drug released at successive sampling time 'ta-1'.

 

To predict proportionality between the fractional amount of  drug released and time from an ideal Peppas release profile,    the shaded area (time period from 't' to 't- a' ) of Figure  1, with zero percent deviation can be calculated by the following equations,

 

 

 

 

For an ideal 24 hr drug release from the dosage form, the Peppas release rate constant may be calculated by,

 

 

 

For example, an ideal 24 hr Peppas model with 0 % deviation (if a= 1), AUC at first hour (t= 1 hr) was calculated as follows,

 

 

 

The same shaded area ( time period from 't0.87' to '(t-a)0.87' ) of Figure 1, with 'α' percent deviation from Peppas model can be predicted by the following equations,

 

 

 

Consider the example, for +5 % deviation (α =5%) from ideal 24 hr zero-order system (a = 1), AUC at first hour (t=1) was calculated as follows,

 

 

 

 

Similarly, the AUCs calculated at all time points for the reference line and the lines showing ±5, ±10, ±15, ±20, ±25 and ±30% deviations from the reference line were shown in Table 3. In addition, the average absolute difference between AUCs (AADA) of the reference line and that of the lines showing ± α % deviations can be predicted by the following equation 9.

 

 

 

 

 

 

Equation 9 denotes that AADA was a linear (y=mx, where m was slope) function of 'α' with slope of ' ' and the intercept was zero.

 

 

 


Table 3: Theoretical prospective of area under the curve (AUC) at different percentage deviations from ideal Peppas model.


Time (hr)

Area under the curve at positive percent deviation

0

+5%

+10%

+15%

+20%

+25%

+30%

0

0

0

0

0

0

0

0

1

3.149

3.306

3.464

3.621

3.779

3.936

4.094

2

7.370

7.738

8.107

8.475

8.844

9.212

9.581

3

10.780

11.319

11.858

12.398

12.937

13.476

14.015

4

13.837

14.529

15.221

15.913

16.605

17.296

17.988

5

16.670

17.503

18.337

19.170

20.004

20.837

21.671

6

19.341

20.308

21.275

22.242

23.209

24.176

25.143

9

72.917

76.563

80.209

83.854

87.500

91.146

94.792

12

93.592

98.271

102.951

107.631

112.310

116.990

121.669

15

112.750

118.388

124.025

129.663

135.300

140.938

146.575

18

130.818

137.358

143.899

150.440

156.981

163.522

170.063

24

312.630

328.261

343.893

359.524

375.156

390.787

406.419

 

Time (hr)

Area under the curve at negative percent deviation

0

-5%

-10%

-15%

-20%

-25%

-30%

0

0

0

0

0

0

0

0

1

3.149

2.992

2.834

2.677

2.519

2.362

2.204

2

7.370

7.001

6.633

6.264

5.896

5.527

5.159

3

10.780

10.241

9.702

9.163

8.624

8.085

7.546

4

13.837

13.145

12.453

11.762

11.070

10.378

9.686

5

16.670

15.836

15.003

14.169

13.336

12.502

11.669

6

19.341

18.374

17.407

16.440

15.473

14.506

13.539

9

72.917

69.271

65.625

61.979

58.333

54.688

51.042

12

93.592

88.912

84.233

79.553

74.873

70.194

65.514

15

112.750

107.113

101.475

95.838

90.200

84.563

78.925

18

130.818

124.277

117.736

111.195

104.654

98.113

91.572

24

312.630

296.998

281.367

265.735

250.104

234.472

218.841

 

 

 

 

 


For example, for 24 hr system, t = 1, a = 1 and α = +5%,

 

 

The calculated values of AADA at different percentage deviations were shown in Table 4.

For an ideal t100 hr, Peppas model drug release (where t100 was the time required for 100% drug release), kKP was equal to 100/  and substituted into the above equation to get,

 

For an ideal 24 hr zero order system (t100%=24 hr), the above equation can be written as follows,

 

 

 

Rearrangement of above Eq.,

 

 

For example, the α  value (% deviation) of the test formulation (a = 1) at first hour (t=1) with respective AADA was calculated as follows,


 

 

 

 

 

Table 4: Theoretical prospective of average absolute difference of AUCs (AADA) at different percentage deviations from ideal Peppas model.

Time

(hr)

AADAs values for percentage deviation from zero-order

5

10

15

20

25

30

0

0

0

0

0

0

0

1

0.157

0.315

0.472

0.630

0.787

0.945

2

0.368

0.737

1.105

1.474

1.842

2.211

3

0.539

1.078

1.617

2.156

2.695

3.234

4

0.692

1.384

2.076

2.767

3.459

4.151

5

0.833

1.667

2.500

3.334

4.167

5.001

6

0.967

1.934

2.901

3.868

4.835

5.802

9

3.646

7.292

10.938

14.583

18.229

21.875

12

4.680

9.359

14.039

18.718

23.398

28.078

15

5.638

11.275

16.913

22.550

28.188

33.825

18

6.541

13.082

19.623

26.164

32.704

39.245

24

15.631

31.263

46.894

62.526

78.157

93.789

 


DISCUSSION:

The drug release data of selected formulation MCS4 was fitted into Korsmeyer-Peppas equation to evaluate the modeling of drug release from swellable polymeric systems. The experimental data obtained from the formulation MCS4 showed a good fit for Korsmeyer-Peppas models with the values of R2 and   more than 0.99 (0.9974 and 0.9971, respectively) and the diffusional exponent value (n) found to be 0.87. These highest values of R2 and   confirms that good fit for drug release from Korsmeyer-Peppas equation. The n value was below 0.89 indicates the drug to follow non-Fickian or anomalous release mechanism from floating tablet. The results of this fitting were presented in Table 6.

 

An ideal 24 hr Peppas model profile are back-calculated by plotting a graph between (time)0.87 versus cumulative percentage of drug release and treated as reference line (Figure 1). The comparative dissolution profiles of the ideal 24 hr Peppas model and test product was presented in Figure 2. For a 24 hr controlled release formulation, ideally the percentage drug released at 24 hours should be 100, where as for test formulation the percentage drug released at 24 hours was found to be 97.264. AUCs of both the curves were calculated using Trapezoidal rule and further absolute difference of AUCs (AADA) were calculated. From the absolute difference of AUCs, the percentage deviations (α ) at each time data point (Table 5) for the test product from the ideal 24 hr zero order release profile were calculated. Table 4 summarizes the theoretical consideration and experimental determinations of cumulative percentage of drug release including AADA and percent deviation (α ) values at different time intervals calculated form applicability and common assumptions using discussed mathematical models.

 

From the results it was observed that, the cumulative percentage of drug release (CPDR) profile of test and their AUC values were slightly lower than ideal 24 hr Peppas model drug release profile. The values of slope and intercept obtained from the nonlinear equation of the Peppas model for ideal release found to be 6.339 and -3.559, respectively, whereas for test formulation found to be 6.064 and -2.049, respectively. The percentage deviation (α ) of test formulation from ideal Peppas model was low at initial time (7.839 % at first hour), reached to a maximum of 15.458 % at 6th hour and finally decreased gradually to a minimum of 4.244 % at 24th hr. Low percentage deviation (α ) for test formulation (MCS4) was observer indicates that the drug release from test formulation ideally follows Peppas model. The lowest values of SSR (28.862) and  F-value (2.886) also indicates that the test product follows Peppas model for release kinetics.

 

It was a crucial point for the practical importance of a drug release from the device and to consider these aspects to predict precisely the resulting drug release rates from ideal systems. This method was the best combination of accuracy and ease of interpretation to calculate percent deviation from an ideal release.


 

Table 5: Percentage deviation for the test product from an ideal 24 hr zero order drug release (CPDR is cumulative percentage of drug release).

Time

(hr)

Ideal zero order

Test product

Absolute difference

of AUCs

% deviation

from zero-order (α)

CPDR

AUC

CPDR

AUC

0

0

0

0

0

0

0

1

4.167

3.149

5.812

2.906

0.243

7.839

2

8.334

7.370

9.718

6.427

0.943

12.997

3

12.501

10.780

13.628

9.024

1.756

16.550

4

16.668

13.837

17.721

11.593

2.244

16.473

5

20.835

16.670

21.612

14.075

2.594

15.809

6

25.002

19.341

25.426

16.398

2.943

15.458

9

37.503

72.917

36.817

62.571

10.346

14.413

12

50.004

93.592

49.621

83.134

10.458

11.350

15

62.505

112.750

60.147

102.159

10.592

9.543

18

75.006

130.818

73.158

120.857

9.960

7.734

24

100.008

312.630

97.264

299.568

13.061

4.244

Slope

6.339

 

6.064

 

 

 

Intercept

-3.559

 

-2.049

 

 

 

 

Table 6: Model fitting of test formulation and ideal release.

Formulation

R2

SSR

F

Slope

Intercept

Test

0.9974

0.9971

28.862

2.552

6.064

-2.049

Ideal

0996

0.9965

34.731

3.473

6.339

-3.559

 

 

Figure 2: Comparative dissolution profiles of the ideal Peppas model and test product.

 

 


CONCLUSION:

The present study used to develop Nicorandil floating tablets using combination of hydrophilic and hydrophobic polymers at different concentration. In vitro drug release is calculated for all the formulations and the best formulation (MCS4) is selected which contain the identical drug as that of theoretical profile. The drug release data was fitted into Korsmeyer-Peppas equation and showed higher R2 and   (0.9974 and 0.9971, respectively) with the diffusional exponent value (n) of 0.87. A quantitative mathematical model is developed for quantitative expression of the deviation from Peppas model is calculated for test formulation and confirmed that the test formulation showed very slight deviation from an ideal release. Finally it is concluded that, the test formulation is confirmed to follow Korsmeyer-Peppas model mechanism.

              

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Received on 31.05.2016               Accepted on 30.06.2015 

© Asian Pharma Press All Right Reserved

Asian J. Pharm. Tech.  2016; 6 (3): 189-196.

DOI: 10.5958/2231-5713.2016.00027.1