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Received : 15-11-2023

Accepted : 22-11-2023



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Get Permission Mahfuz ul Alam, Mamun, Nahar, and Shoeb: A Quality by Design (QBD) approach for the development and validation of RP-HPLC method for the quantification of linagliptin tablets


Introduction

Traditionally, the development of analytical methods involved a time-consuming process of adjusting one system parameter at a time, leading to numerous experimental runs and the subsequent need for further refinement. The pharmaceutical industry has grappled with challenges such as out-of-trend (OOT) and out-of-specification (OOS) results, revealing vulnerabilities in the existing system. Reports of quality control (QC)-related warning letters from regulatory agencies underscore the pressing need for a novel strategy. The adoption of Quality by Design (QbD) in the pharmaceutical sector, mandated by regulatory bodies like the EMA, US FDA, and other ICH countries, represents a proactive response to challenges in analytical methods and related systems. 1, 2

This journal article centers on implementing QbD principles in the development and validation of analytical methods for Linagliptin, emphasizing precision and reliability. Through a systematic and risk-based approach, QbD aids in comprehending critical method attributes, identifying potential risks, and establishing a comprehensive control strategy. 3, 4 Integrating these principles into the analytical method lifecycle enables researchers to optimize performance, reduce variability, and ensure compliance with regulatory requirements.

TRADJENTA ®, approved by the US FDA in 2011, features Linagliptin as its active pharmaceutical ingredient. As a dipeptidyl peptidase-4 (DPP-4) inhibitor, 5 Linagliptin plays a crucial role in the landscape of antidiabetic agents, necessitating stringent analytical methodologies to ensure the quality and safety of pharmaceutical formulations.

Figure 1

Chemical structure of linagliptin

https://s3-us-west-2.amazonaws.com/typeset-prod-media-server/b2e6df5e-4199-4440-a0fa-7ea1631f3d72image1.png

Linagliptin (C25H28N8O2) is chemically known as 8-[(3R)-3-aminopiperidin-1-yl]-7-(but-2-yn-1-yl)-3-methyl-1-[(4-methylquinazolin-2-yl)methyl]-3,7-dihydro-1H-purine-2,6-dione. The compound's distinctive properties, including polymorphism with two different forms and high solubility, pose both challenges and opportunities in the development and validation of analytical methods. This research explores a QbD-driven approach to address these challenges, highlighting the importance of regulatory compliance and the evolution of strategies in response to industry dynamics.

To address this need, a chromatographic separation method for Linagliptin was developed using Analytical Quality by Design (AQbD) principles. The method underwent optimization through a Design of Experiment (DOE) approach, considering critical factors such as buffer pH, acetonitrile concentration, flow rate, and oven temperature, while assessing responses like retention time, asymmetry, and theoretical plate. Statistical analyses, including counter plots, Pareto charts, and interaction plots, guided the development of an optimized method. 6, 7, 8

The validated method adhered to ICH Q2 (R1) 4 and USP <1225> requirements, encompassing assessments of parameters like limit of detection (LOD), limit of quantification (LOQ), accuracy, precision, and robustness. It exhibited exceptional sensitivity, selectivity, speed, precision, accuracy, and cost-effectiveness, making it highly suitable for pharmaceutical industries in the analysis of Linagliptin Tablets.

Furthermore, the validated method was employed to quantify the active content in locally produced major drugs in various dosage forms and innovator's drugs. In-vitro dissolution comparisons using the f1 and f2 metrics demonstrated similarity across all examined brands, indicating comparable potency to the innovator's drugs. The majority of drugs manufactured in Bangladesh met international standards, affirming their efficacy for treating various health conditions, both locally and in overseas markets.

Experimental

Chemicals, reagents, and samples

Throughout pre-method development, method development, validation, and market product assessments, both analytical and gradient HPLC grade reagents and chemicals were employed. The reagents, including Acetonitrile, Sodium Acetate Trihydrate (NaC2H3O2·3H2O), Phosphoric Acid, Sodium Hydroxide, Hydrogen Peroxide, Sodium Metabisulfite, Sodium Acetate Trihydrate, and Glacial Acetic Acid, were obtained from Scharlau, Spain. Additionally, Phosphoric Acid and Acetonitrile were sourced from Merck, Germany. The reference standards for Linagliptin were supplied by Ruyuan HEC Pharm, China. Innovator product TRAJENTA, manufactured by Boehringer Ingelheim Roxane Inc, was acquired through Pharmaceutical Buyers Inc., USA.

Equipment

The experiments utilized USP Type A volumetric glassware crafted from borosilicate 3.3 glass beds, certified by Pyrex, USA, and Normax, Portugal. Glassware cleaning involved both manual and automatic methods using Labconco, USA equipment. Dissolution tests were conducted using an Eight Station Dissolution Apparatus (Hanson Research, USA) equipped with USP Apparatus I and II. Different experiments employed low-pressure gradient HPLC systems from Waters Corporation, Agilent Technologies, and Dionex Corporation. Additional instruments included ultra-micro, micro, and analytical balances (manufactured by Sartorius, Germany), a pH meter from Mettler, Switzerland, and thermal ovens & ultrasonic water baths from Memmert, Germany. HPLC columns were sourced from Prontosil (Bischoff Chromatography, Germany) and YMC (YMC Co. Ltd, Japan).

HPLC method development through AQbD framework

In the development of an HPLC method for Linagliptin using the Analytical Quality by Design (AQbD) approach, the following eight sequential steps were undertaken.9, 10, 11

The HPLC method development utilizing the Analytical Quality by Design (AQbD) approach followed a systematic eight-step process. In the initial step, the analytical method's target profile was qualitatively determined using a Fish Bone Diagram, considering various parameters such as the mobile phase, column, pH of the buffer, injection volume, and more. The literature search in the second step involved collecting data on the intended analyte's molecular structure, weight, pKa, functional group, Chromophore presence, partition coefficient, solubility, and available methods.

The third step focused on identifying method parameters through method scouting, considering the physiochemical properties of the analyte, mobile phase, and the compatibility of the stationary phase. In the fourth step, predictive critical method parameters were identified both qualitatively and quantitatively, distinguishing between predictable and unpredictable elements. The fifth step involved the application of Design of Experiments (DoE) for a multivariate interaction study, setting up critical method parameters across a range.

Screening and optimization in the sixth step provided a scientific understanding of the relationship between input variables and output responses, leading to the definition of an operable design space. The seventh step defined the final operable method, incorporating stability-indicating studies and executing method validation, assessing accuracy, precision, robustness, and solution stability.12, 13

The last step, monitoring and lifecycle management, involved the evaluation of market products and the reference listed drug (RLD), along with assessing change requirements for improvements. The entire process ensured a comprehensive and systematic approach to HPLC method development, emphasizing quality by design principles.

Evaluating Experimental Results and Identifying Optimal Method Parameters

The main goal was to explore the effects and interrelationships of four distinct factors: pH of the buffer solution, flow rate, percentage of acetonitrile, and column temperature, on multiple responses, specifically, retention time, peak asymmetry, and theoretical plate. To accomplish this, an experimental design was formulated to encompass the spectrum of each variable, as outlined in Table 1.

Table 1

Chosen factors and their levels for design of experiments (DoE) investigations

S.N.

Molecules Factors

pH of Buffer

% Acetonitrile

Oven Temperature 0C

Flow Rate (mL/min)

Response

Min

Max

Min

Max

Min

Max

Min

Max

Retention Time, Asymmetry, Theoretical Plate

1

Linagliptin

4.0

5.0

20

60

25

45

0.8

1.5

Evaluating the true impact of all four variables on the three target responses would typically necessitate a considerable number of studies. To streamline this process and accelerate the identification of interaction patterns in a scientifically rigorous manner, a design of experiments (DoE) was developed using Microsoft Minitab Software 16.1.1. The DoE adopted a comprehensive full factorial experimental design, incorporating two (02) center points within each block.13, 14

This Design of Experiment (DoE) led to the identification of 18 unique experimental combinations, detailed in Table 2. Subsequently, these combinations were utilized to create various mobile phases by employing different permutations of buffer and organic solvent.

Table 2

Experimental design for preliminary assessment in linagliptin pre-method development

S.N.

Method Parameters

pH

% ACN

Flow Rate

Column Temp

1

4

20

0.8

45

2

4.5

40

1.15

35

3

5

60

1.5

25

4

5

60

1.5

45

5

4

20

0.8

25

6

4

60

1.5

25

7

4

20

1.5

25

8

5

20

0.8

45

9

4

60

0.8

25

10

5

20

1.5

25

11

5

20

0.8

25

12

4

60

0.8

45

13

5

60

0.8

45

14

5

20

1.5

45

15

4

60

1.5

45

16

4

20

1.5

45

17

4.5

40

1.15

35

18

5

60

0.8

25

The objective was to optimize the HPLC method for Linagliptin analysis by conducting a comprehensive study of these parameters. This involved using a C18, 150 mm x 4.6 mm, 5 µM HPLC column with a 10 µL injection volume. The HPLC system was equipped with a PDA detector, operated at 294 nm, and included a column oven and auto-injector.15, 16

Assessment of Experimental Outcomes and Determination of Optimal Method Conditions

The responses to variations (Table 3) in individual factors were meticulously examined using various statistical models such as Interaction plots, Pareto charts, and Contour plots (Figure 2 a-2i). These analyses were instrumental in obtaining a thorough understanding of the true impact of the four variables on the responses.

Figure 2

a: Interactionpot for plate count fitted means b: Intraction plot for retention time fitted means c: Interaction plot for asymmetry fitted means d: Contour plots of asymmetry e: Pareto chart of the standardized effects f: Contour of retention time g: Contourplots plate count h: Pareto chart ofthe standarzed effects i: Paretochart of the standardized effects

https://s3-us-west-2.amazonaws.com/typeset-prod-media-server/b2e6df5e-4199-4440-a0fa-7ea1631f3d72image2.png
Table 3

Responses to DoE factorial design by minitab software for linagliptin

S.N.

Method Parameters

Response

pH

% ACN

Flow Rate

Column Temp

Retention Time

Asymmetry

Plate Count

1

4

20

0.8

45

26.23

0.83

8427

2

4.5

40

1.15

35

3.53

1.05

7706

3

5

60

1.5

25

0.95

1.04

1837

4

5

60

1.5

45

0.97

0.93

2167

5

4

20

0.8

25

27.91

0.81

8513

6

4

60

1.5

25

0.96

1.08

1994

7

4

20

1.5

25

24.21

1.14

4067

8

5

20

0.8

45

15.83

1.03

4715

9

4

60

0.8

25

1.86

1.1

4508

10

5

20

1.5

25

1.27

1.05

2308

11

5

20

0.8

25

19.68

0.8

4062

12

4

60

0.8

45

1.84

1.14

5480

13

5

60

0.8

45

1.83

1.02

5165

14

5

20

1.5

45

8.63

1.02

4240

15

4

60

1.5

45

0.99

1.06

2342

16

4

20

1.5

45

0.98

1.45

896

17

4.5

40

1.15

35

1.68

1.11

3304

18

5

60

0.8

25

1.75

1.07

3919

In summary, interaction plots were utilized to identify the type of interactions between variable factors and responses in the analysis of Linagliptin. Theoretical plates for Linagliptin demonstrated an inverse relationship with the concentration of acetonitrile and flow rate of the mobile phase, irrespective of buffer pH, while column temperature had an insignificant effect. Asymmetry showed a direct proportionality to the concentration of acetonitrile, column temperature, and flow rate. Retention time exhibited an inverse relationship with acetonitrile concentration, flow rate, and column temperature. The Design of Experiments (DoE) outcomes, presented in counter plots, illustrated response surfaces for theoretical plate, asymmetry, and retention time concerning different variables.

Theoretical plates were lower when acetonitrile concentration and flow rate were low but higher at high column temperature. Retention time was lower at high acetonitrile concentration, high flow rate, and high column temperature. Among the various factors, flow rate significantly impacted theoretical plates, acetonitrile concentration had a major effect on retention time, and both acetonitrile concentration and flow rate significantly influenced the asymmetry of Linagliptin. Considering these effects on responses, a response optimization was conducted using Minitab Software, identifying standardized values to achieve the highest composite desirability.

In consideration of these factors, the final Chromatographic Method for Linagliptin was formulated for subsequent Method Validation. The method employed Gradient High-Performance Liquid Chromatography (HPLC) systems from various manufacturers, including Agilent, USA, Dionex, USA, and Waters, USA. These systems were equipped with PDA detectors, a Column Oven, and an Auto Injector. The optimized HPLC column utilized was a C18, with dimensions of 150 mm x 4.6 mm and a particle size of 5µM. The mobile phase, tailored for optimal performance, comprised Acetonitrile: Sodium Acetate Buffer with a pH of 4.5 in a ratio of 25:75. The flow rate was optimized at 1.0 mL/min, and peak detection was achieved using a UV detector set at 294 nm. The injection volume was standardized at 10 µL, and the Column Oven Temperature was maintained at 25°C.

Method Validation

System suitability

A comprehensive system suitability test was conducted using a representative chromatogram (Figure 3) to validate various parameters. Theoretical plates were determined to be 6824, peak asymmetry measured at 1.2, and the % RSD (Relative Standard Deviation) for six replicate injections for both area and retention time were found to be 0.1% and 0.82%, respectively.

Figure 3

Representative chromatogram of linagliptin

https://s3-us-west-2.amazonaws.com/typeset-prod-media-server/b2e6df5e-4199-4440-a0fa-7ea1631f3d72image3.png

Specificity

To confirm specificity, an analysis of placebo and formulated tablets was performed under both unstressed and stressed conditions to ensure the absence of interference from anticipated components. Notably, the placebo exhibited no interference with the analyte peak. Stressed samples were introduced into the HPLC system equipped with a Photodiode Array Detector. The sample demonstrated stability, except in the presence of peroxide (Table 4). Peak purity, measured at 997, indicated no interference from degradants, establishing the method as stability indicating.

Table 4

Summary of force degradation study for specificity

Test Condition

Placebo Interface at Main Peak

Peak Purity by PDA

Control Sample (%)

Water Hydrolysis (40°C/2 Hours) (%)

Thermal Stress (80°C/48 Hours) (%)

Acid Stress (1.0 N HCl/40°C/2 Hours) (%)

Base Stress (1.0 N NaOH/40°C/2 Hours) (%)

Peroxide Stress (3% H2O2/40°C/2 Hours) (%)

Linagliptin

No

998

99.8

99.3

98.7

98.9

55.2

25.3

Linearity

The calibration curve for Linagliptin exhibited linearity in the concentration range of 0.08 to 0.12 mg/ml. Five standard solutions of the analyte at concentrations of 80%, 90%, 100%, 110%, and 120% were prepared and analyzed to assess the response for the linearity study, as detailed in Table 5. The correlation coefficient, calculated from the peak area plotted against concentration (Figure 4), was determined to be 0.9993.

Table 5

Summary results for linearity study of linagliptin

Level

80%

90%

100%

110%

120%

Correlation Coefficient

Linagliptin

581455

663072

733940

811034

880243

0.9993

Figure 4

Linearity study of linagliptin

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Precision

The % RSD for repeatability in the measurement of Linagliptin at concentrations ranging from 80% to 120% (0.08-0.12 mg/mL) over six replicates was established to be below 0.44%. Interday precision demonstrated a mean recovery of 99.62%, with an % RSD of 1.2%. These results confirm the precision of the developed method.

Accuracy

To assess accuracy, a recovery study was undertaken by preparing sample solutions spiked at three levels: 80%, 100%, and 120% of 0.1 mg/mL nominal concentration. The % recovery data, obtained using the proposed HPLC method, is detailed in Table 6. The % recovery within the 98.6–101.5% range with % RSD of 1.61 and mean recovery 100.46 validates the accuracy of the developed method, aligning with the ICH Q2 (R1) guidelines.

Table 6

Summary results of accuracy study

Level

80%

100%

120%

Mean

% RSD

Linagliptin

101.51

101.28

98.6

100.46

1.61

Robustness and Ruggedness Studies

The influence of variations in the mobile phase ratio (Buffer: Organic Phase), detector wavelength, pH of the buffer/aqueous phase, mobile phase flow rate, and column temperature on the retention time, peak area, and asymmetry of the primary analyte was explored using sample concentrations of 0.1 mg/mL. Noteworthy is the absence of significant alterations in responses despite variations in these method factors, attesting to the robustness of the methods, as indicated by an RSD of 0.2%.

Table 7

Summary of robustness study

Parameter

Linagliptin

RT

Peak Area

Flow Rate

3.3

732400

3.5

735390

Elution Solvent ratios

3.4

732985

3.5

736928

Detector Wavelength

3.2

732839

3.3

732891

Temperature

3.3

732590

3.3

733008

pH

3.2

732803

3.4

733009

Limit of Detection (LOD) and Limit of Quantification (LOQ) for Linagliptin, determined through the Dionex HPLC Chromeleon Software, were identified as 1.17 ppm and 3.61 ppm, respectively.

Solution and Mobile Phase Stability

Both test and standard solutions were allowed to stand at room temperature for 2 days. Upon comparison with a freshly prepared standard solution after 24 hours, the result showed a deviation of 0.17%, increasing to 0.01% after 48 hours. These findings suggest that the stability of the sample solution remains largely unchanged for up to 48 hours.

Filter study

Samples and standard solutions were prepared and subjected to filtration using a variety of filters, including PTFE 0.45 micron, 0.22 micron, and Nylon 0.45 micron filters. The resultant filtered solutions were analyzed using the established chromatographic methods. The obtained results were scrutinized for variations in area associated with different filters. The % RSD of the difference in area was determined to be 1.1%, signifying negligible variation in results. Consequently, the method is considered suitable for both qualitative and quantitative analyses with all these filters.

Table 8

Filterstudy outcome

Type of Filter

PTFE 0.45

PTFE 0.22

Nylon 0.45

% RSD

Linagliptin

221875

226461

225673

1.1

Assay content of marketed products

The established methods were effectively utilized to assess the identification and assay values of various prominent brands available in the Bangladesh market. The chromatographic separations were notably clear, ensuring no interference from the excipients. The products from all manufacturers tested complies within the target acceptance range (95.1% to 102.1%), as detailed in Table 9.

Table 9

Evaluation oflocal generic drug in compared to innovator drug

Name of Molecule

% Assay Value

Innovator

Mfg1

Mfg2

Mfg3

Mfg4

Mfg5

Remarks

Linagliptin

100.3

95.1

102.1

99.2

99.8

96.6

Results of two brands are out of trend

Dissolution and In-Vitro Dissolution Comparison

The dissolution evaluation of Linagliptin Tablets from five leading brands in Bangladesh was carried out using USP Apparatus II (Paddle) at 50 rotations per minute with 0.1 N HCl at 37°C. Employing the developed method, the analysis demonstrated favorable dissolution outcomes for most brands (Table 10). In vitro dissolution tests were conducted, comparing them with the Reference Listed Drug (RLD) at time points 10 mins, 20 mins, 30 mins, and 45 mins. The results, assessed through f1 (2.53 – 12.66) and f2 (46.0-78.1) values, suggesting that the major tested brands can be considered as bioequivalent to the branded products.

Figure 5

An example chromatogram of linagliptin tablets dissolution at 45 minutes

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Table 10

Dissolutiontest of marketed generics & innovator of linagliptin tablets

Sample

RLD

Mfg 1

Mfg-2

Mfg-3

Mfg-4

Mfg-5

Remarks

Linagliptin

97(97-98)

96 (81-105)

97(93-100)

92(88-100)

91(84-94)

97(96-99)

All brands have good and comparable results with RLD

Table 11

In-vitro comparison of marketed generics against innovator (TRADJENTA®,)

Name of Product

f1/f2

Mfg-1

Mfg-2

Mfg-3

Mfg-4

Mfg-5

Linagliptin 5 mg Tablets

f1

3.48

3.48

9.81

12.66

2.53

f2

70.07

66.56

52.32

46

78.12

Figure 6

In-vitro dissolution comparison of different local brands of Linagliptin 5 mg Tablets with RLD

https://s3-us-west-2.amazonaws.com/typeset-prod-media-server/b2e6df5e-4199-4440-a0fa-7ea1631f3d72image6.png

Discussion

A quality-by-design High-Performance Liquid Chromatography (HPLC) method has been meticulously developed for the precise estimation of Linagliptin in pharmaceutical formulations. Employing a risk assessment strategy, the analytical target product profile identified crucial parameters such as retention time, theoretical plates, and peak asymmetry specific to Linagliptin analysis by HPLC. Critical quality attributes influencing the target product profile were discerned as mobile phase composition, pH of the buffer solution, flow rate, and oven temperature.

Utilizing a full factorial design with Minitab Software 16.1.1, incorporating four factors and three responses with two center points per block, a total of 18 independent runs were conducted. Variability in column selection, instrument configuration, and injection volume was meticulously controlled. The quality-by-design methodology effectively developed the HPLC method for Linagliptin, employing the following parameters: a C18 column with dimensions of 150 mm x 4.6 mm and a particle size of 5µM. The optimized mobile phase consisted of Acetonitrile: Sodium Acetate Buffer with a pH of 4.5 in a ratio of 25:75. The flow rate was set at 1.0 mL/min, with peak detection using a UV detector set at 294 nm. The injection volume was maintained at 10 µL, and the Column Oven Temperature was controlled at 25°C.

The validation of the method yielded satisfactory outcomes for system suitability, accuracy, precision, robustness, linearity, sample stability, filter effect, LOD, and LOQ. The method was effectively applied to assess major generic brands of Linagliptin Tablets in the Bangladesh market, demonstrating comparability to the innovator product by in-vitro dissolution test.

Conclusion

Analytical Quality by Design (QbD) principles were systematically implemented in the development of an HPLC method for Linagliptin. A comprehensive multivariate study, involving critical process parameters—specifically, the combination of mobile phase composition, buffer pH, flow rate, and oven temperature at various levels—was meticulously conducted to identify the optimal system and establish the final design space. This explorative process, facilitated by Design of Experiment Software in Minitab 16.1.1, enhanced the understanding of factors influencing chromatographic separation, ensuring that the methods effectively meet their intended purposes and paving the way for the development of chromatographic optimization for future applications.

All validated parameters consistently met acceptable criteria. The validated method for Linagliptin determination demonstrated characteristics of linearity, precision, accuracy, specificity, robustness, and ruggedness. The QbD methodology provided an in-depth comprehension of method variables, minimizing the risk of failure during method validation and transfer. The automated QbD method development approach, employing Minitab software, not only expedited the process but also resulted in a more robust method compared to manual development. Statistical analysis underscored the method's reproducibility, selectivity, accuracy, and robustness. This method is poised for further implementation in routine analysis for quality control within the pharmaceutical industry, demonstrating its capacity to distinguish marketed products, including comparability with the innovator product.

Source of Funding

None.

Conflict of Interest

None.

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