The wide variety of equipment, columns, eluent and operational parameters involved makes high performance liquid chromatography (HPLC) method development seem complex. The process is influenced by the nature of the analytes and generally follows the following steps:
Depending on the overall requirements and nature of the sample and analytes, some of these steps will not be necessary during HPLC analysis. For example, a satisfactory separation may be found during step 2, thus steps 3 and 4 may not be required. The extent to which method validation (step 5) is investigated will depend on the use of the end analysis; for example, a method required for quality control will require more validation than one developed for a one-off analysis. The following must be considered when developing an HPLC method:
Mobile phase composition, for example, is the most powerful way of optimizing selectivity whereas temperature has a minor effect and would only achieve small selectivity changes. pH will only significantly affect the retention of weak acids and bases. A flow diagram of an HPLC system is illustrated in Figure 1.
HPLC method development Step 1 - selection of the HPLC method and initial system. When developing an HPLC method, the first step is always to consult the literature to ascertain whether the separation has been previously performed and if so, under what conditions - this will save time doing unnecessary experimental work. When selecting an HPLC system, it must have a high probability of actually being able to analyse the sample; for example, if the sample includes polar analytes then reverse phase HPLC would offer both adequate retention and resolution, whereas normal phase HPLC would be much less feasible. Consideration must be given to the following: Sample preparation. Does the sample require dissolution, filtration, extraction, preconcentration or clean up? Is chemical derivatization required to assist detection sensitivity or selectivity?
Types of chromatography. Reverse phase is the choice for the majority of samples, but if acidic or basic analytes are present then reverse phase ion suppression (for weak acids or bases) or reverse phase ion pairing (for strong acids or bases) should be used. The stationary phase should be C18 bonded. For low/medium polarity analytes, normal phase HPLC is a potential candidate, particularly if the separation of isomers is required. Cyano-bonded phases are easier to work with than plain silica for normal phase separations. For inorganic anion/cation analysis, ion exchange chromatography is best. Size exclusion chromatography would normally be considered for analysing high molecular weight compounds (.2000).
Gradient HPLC. This is only a requirement for complex samples with a large number of components (.20–30) because the maximum number of peaks that can be resolved with a given resolution is much higher than in isocratic HPLC. This is a result of the constant peak width that is observed in gradient HPLC (in isocratic HPLC peak width increases in proportion to retention time). The method can also be used for samples containing analytes with a wide range of retentivities that would, under isocratic conditions, provide chromatograms with capacity factors outside of the normally acceptable range of 0.5–15. Gradient HPLC will also give greater sensitivity, particularly for analytes with longer retention times, because of the more constant peak width (for a given peak area, peak height is inversely proportional to peak width). Reverse phase gradient HPLC is commonly used in peptide and small protein analysis using an acetonitrile–water mobile phase containing 1% trifluoroethanoic acid. Gradient HPLC is an excellent method for initial sample analysis.
Column dimensions. For most samples (unless they are very complex), short columns (10–15 cm) are recommended to reduce method development time. Such columns afford shorter retention and equilibration times. A flow rate of 1-1.5 mL/min should be used initially. Packing particle size should be 3 or 5 μm.
Detectors. Consideration must be given to the following:
Fluorescence or electrochemical detectors should be used for trace analysis. For preparative HPLC, refractive index is preferred because it can handle high concentrations without overloading the detector.
UV wavelength. For the greatest sensitivity λmax should be used, which detects all sample components that contain chromophores. UV wavelengths below 200 nm should be avoided because detector noise increases in this region. Higher wavelengths give greater selectivity.
Fluorescence wavelength. The excitation wavelength locates the excitation maximum; that is, the wavelength that gives the maximum emission intensity. The excitation is set to the maximum value then the emission is scanned to locate the emission intensity. Selection of the initial system could, therefore, be based on assessment of the nature of sample and analytes together with literature data, experience, expert system software and empirical approaches.
Step 2 - selection of initial conditions. This step determines the optimum conditions to adequately retain all analytes; that is, ensures no analyte has a capacity factor of less than 0.5 (poor retention could result in peak overlapping) and no analyte has a capacity factor greater than 10–15 (excessive retention leads to long analysis time and broad peaks with poor detectability). Selection of the following is then required. Mobile phase solvent strength. The solvent strength is a measure of its ability to pull analytes from the column. It is generally controlled by the concentration of the solvent with the highest strength; for example, in reverse phase HPLC with aqueous mobile phases, the strong solvent would be the organic modifier; in normal phase HPLC, it would be the most polar one. The aim is to find the correct concentration of the strong solvent. With many samples, there will be a range of solvent strengths that can be used within the aforementioned capacity limits. Other factors (such as pH and the presence of ion pairing reagents) may also affect the overall retention of analytes.
Gradient HPLC. With samples containing a large number of analytes (.20–30) or with a wide range of analyte retentivities, gradient elution will be necessary to avoid excessive retention.
Determination of initial conditions. The recommended method involves performing two gradient runs differing only in the run time. A binary system based on either acetonitrile/water (or aqueous buffer) or methanol/water (or aqueous buffer) should be used.
Step 3 - selectivity optimization. The aim of this step is to achieve adequate selectivity (peak spacing). The mobile phase and stationary phase compositions need to be taken into account. To minimize the number of trial chromatograms involved, only the parameters that are likely to have a significant effect on selectivity in the optimization must be examined. To select these, the nature of the analytes must be considered. For this, it is useful to categorize analytes into a few basic types (Table II). Once the analyte types are identified, the relevant optimization parameters may be selected (Table III). Note that the optimization of mobile phase parameters is always considered first as this is much easier and convenient than stationary phase optimization.
Selectivity optimization in gradient HPLC. Initially, gradient conditions should be optimized using a binary system based on either acetonitrile/water (or aqueous buffer) or methanol/water (or aqueous buffer). If there is a serious lack of selectivity, a different organic modifier should be considered.
Step 4 - system parameter optimization. This is used to find the desired balance between resolution and analysis time after satisfactory selectivity has been achieved. The parameters involved include column dimensions, column-packing particle size and flow rate. These parameters may be changed without affecting capacity factors or selectivity.
Step 5 - method validation. Proper validation of analytical methods is important for pharmaceutical analysis when ensurance of the continuing efficacy and safety of each batch manufactured relies solely on the determination of quality. The ability to control this quality is dependent upon the ability of the analytical methods, as applied under well-defined conditions and at an established level of sensitivity, to give a reliable demonstration of all deviation from target criteria. Analytical method validation is now required by regulatory authorities for marketing authorizations and guidelines have been published. It is important to isolate analytical method validation from the selection and development of the method. Method selection is the first step in establishing an analytical method and consideration must be given to what is to be measured, and with what accuracy and precision.
Method development and validation can be simultaneous, but they are two different processes, both downstream of method selection. Analytical methods used in quality control should ensure an acceptable degree of confidence that results of the analyses of raw materials, excipients, intermediates, bulk products or finished products are viable. Before a test procedure is validated, the criteria to be used must be determined.
Analytical methods should be used within good manufacturing practice (GMP) and good laboratory practice (GLP) environments, and must be developed using the protocols set out in the International Conference on Harmonization (ICH) guidelines (Q2A and Q2B).1,2 The US Food and Drug Administration (FDA)3,4 and US Pharmacopoeia (USP)5 both refer to ICH guidelines. The most widely applied validation characteristics are accuracy, precision (repeatability and intermediate precision), specificity, detection limit, quantitation limit, linearity, range, robustness and stability of analytical solutions. Method validation must have a written and approved protocol prior to use.6
This article reviews and demonstrates practical approaches to analytical method validation with reference to an HPLC assay of progesterone (Figure 2) in a gel formulation. Progesterone is widely used for dysfunctional uterine bleeding or amenorrhoea,7,8 for contraception (either alone or with, for example, oestradiol or mestranol in oral contraceptives) and in combination with oestrogens for hormone replacement therapy in postmenopausal women.9,10Experimental Chemicals and reagents All chemicals and reagents were of the highest purity. HPLC-grade methanol was obtained from Merck (Darmstadt, Germany). Progesterone reference standard was purchased from Sigma Chemicals (St Louis, Missouri, USA). Deionized distilled water was used throughout the experiments.
HPLC instrumentation The HPLC systems used for the validation studies consisted of Series 200 UV/Visible Detector, Series 200 LC Pump, Series 200 Autosampler and Series 200 Peltier LC Column Oven (all Perkin Elmer, Boston, Massachusetts, USA). The data were acquired via TotalChrom Workstation (Version 6.2.0) data acquisition software (Perkin Elmer), using Nelson Series 600 LINK interfaces (Perkin Elmer).
All chromatographic experiments were performed in the isocratic mode. The mobile phase was a methanol/water solution (75:25 v/v). The flow rate was 1.5 mL/min and the oven temperature was 40 ºC. The injection volume was 20 μL and the detection wavelength was set at 254 nm. The chromatographic separation was on a 25034.6 mm ID, 10 μm C18 μ-Bondapak column (Waters, Milford, Massachusetts, USA).
Results and discussionLinearity and range The linearity of a test procedure is its ability (within a given range) to produce results that are directly proportional to the concentration of analyte in the sample. The range is the interval between the upper and lower levels of the analyte that have been determined with precision, accuracy and linearity using the method as written. ICH guidelines specify a minimum of five concentration levels, along with certain minimum specified ranges. For assay, the minimum specified range is 80–120% of the theoretical content of active. Acceptability of linearity data is often judged by examining the correlation coefficient and y-intercept of the linear regression line for the response versus concentration plot. The regression coefficient (r2) is .0.998 and is generally considered as evidence of acceptable fit of the data (Figure 3) to the regression line. The per cent relative standard deviation (RSD), intercept and slope should be calculated. In the present study, linearity was studied in the concentration range 0.025–0.15 mg/mL (25–150% of the theoretical concentration in the test preparation, n=3) and the following regression equation was found by plotting the peak area (y) versus the progesterone concentration (x) expressed in mg/mL: y53007.2x14250.1 (r251.000). The demonstration coefficient (r2) obtained for the regression line demonstrates the excellent relationship between peak area and concentration of progesterone. The analyte response is linear across 80-120% of the target progesterone concentration.
Accuracy A method is said to be accurate if it gives the correct numerical answer for the analyte. The method should be able to determine whether the material in question conforms to its specification (for example, it should be able to supply the exact amount of substance present). However, the exact amount present is unknown, which is why a test method is used to estimate the accuracy. Furthermore, it is rare that the results of several replicate tests all give the same answer, so the mean or average value is taken as the estimate of the accurate answer. Some analysts adopt a more practical attitude to accuracy, which is expressed in terms of error. The absolute error is the difference between the observed and the expected concentrations of the analyte. Percentage accuracy can be defined in terms of the percentage difference between the expected and the observed concentrations (Equation 1).
Percentage accuracy tends to be lower at the lower end of the calibration curve. The term accuracy is usually applied to quantitative methods but it may also be applied to methods such as limit tests. Accuracy is usually determined by measuring a known amount of standard material under a variety of conditions but preferably in the formulation, bulk material or intermediate product to ensure that other components do not interfere with the analytical method. For assay methods, spiked samples are prepared in triplicate at three levels across a range of 50-150% of the target concentration. The per cent recovery should then be calculated. The accuracy criterion for an assay method is that the mean recovery will be 100±2% at each concentration across the range of 80-120% of the target concentration. To document accuracy, ICH guidelines regarding methodology recommend collecting data from a minimum of nine determinations across a minimum of three concentration levels covering the specified range (for example, three concentrations, three replicates each).
In the present study, the accuracy of the method was evaluated by recovery assay, adding known amounts of progesterone reference standard to a known amount of gel formulation, to obtain three different levels (50, 100 and 150%) of addition. The samples were analysed, and mean recovery and %RSDs calculated. The data presented in Table IV show that the recovery of progesterone in spiked samples met the evaluation criterion for accuracy (100±2.0% across 80–120% of target concentrations).
Specificity Developing a separation method for HPLC involves demonstrating specificity, which is the ability of the method to accurately measure the analyte response in the presence of all potential sample components. The response of the analyte in test mixtures containing the analyte and all potential sample components (placebo formulation, synthesis intermediates, excipients, degradation products and process impurities) is compared with the response of a solution containing only the analyte. Other potential sample components are generated by exposing the analyte to stress conditions sufficient to degrade it to 80–90% purity. For bulk pharmaceuticals, stress conditions such as heat (50–60 ºC), light (600 FC of UV), acid (0.1 M HCl), base (0.1 M NaOH) and oxidant (3% H2O2) are typical. For formulated products, heat, light and humidity (70-80% RH) are often used. The resulting mixtures are then analysed, and the analyte peak is evaluated for peak purity and resolution from the nearest eluting peak.
Once acceptable resolution is obtained for the analyte and potential sample components, the chromatographic parameters, such as column type, mobile phase composition, flow rate and detection mode, are considered set. An example of specificity criterion for an assay method is that the analyte peak will have baseline chromatographic resolution of at least 2.0 from all other sample components. In this study, a weight of sample placebo equivalent to the amount present in a sample solution preparation was injected to demonstrate the absence of interference with progesterone elution (Figure 4).
Precision Precision means that all measurements of an analyte should be very close together. All quantitative results should be of high precision - there should be no more than a ±2% variation in the assay system. A useful criterion is the relative standard deviation (RSD) or coefficient of variation (CV), which is an indication of the imprecision of the system (Equation 2).
According to the ICH,2 precision should be performed at two different levels - repeatability and intermediate precision. Repeatability is an indication of how easy it is for an operator in a laboratory to obtain the same result for the same batch of material using the same method at different times using the same equipment and reagents. It should be determined from a minimum of nine determinations covering the specified range of the procedure (for example, three levels, three repetitions each) or from a minimum of six determinations at 100% of the test or target concentration.
Intermediate precision results from variations such as different days, analysts and equipment. In determining intermediate precision, experimental design should be employed so that the effects (if any) of the individual variables can be monitored. Precision criteria for an assay method are that the instrument precision and the intra-assay precision (RSD) will be ≤2%.
In this study, the precision of the method (repeatability) was investigated by performing six determinations of the same batch of product. The resulting data are provided in Table V, which show that the repeatability precision obtained by one operator in one laboratory was 0.28% RSD for progesterone peak area and, therefore, meets the evaluation criterion.
The intermediate precision was demonstrated by two analysts, using two HPLC systems and who evaluated the relative per cent purity data across the two HPLC systems at three concentration levels (50%, 100%, 150%) that covered the assay method range (0.025–0.15 mg/mL). The mean and RSD across the systems and analysts were calculated from the individual relative per cent purity mean values at 50%, 100% and 150% of the test concentration. The data are presented in Table VI, and show ≤2.0% RSD, therefore, meeting the evaluation criterion. Limits of detection and quantitation The limit of detection (LOD) is defined as the lowest concentration of an analyte in a sample that can be detected, not quantified. It is expressed as a concentration at a specified signal:noise ratio,2 usually 3:1. The limit of quantitation (LOQ) is defined as the lowest concentration of an analyte in a sample that can be determined with acceptable precision and accuracy under the stated operational conditions of the method. The ICH has recommended a signal:noise ratio 10:1. LOD and LOQ may also be calculated based on the standard deviation of the response (SD) and the slope of the calibration curve(s) at levels approximating the LOD according to the formulae: LOD53.3(SD/S) and LOQ510(SD/S).
The standard deviation of the response can be determined based on the standard deviation of the blank, on the residual standard deviation of the regression line, or the standard deviation of y-intercepts of regression lines. The method used to determine LOD and LOQ should be documented and supported, and an appropriate number of samples should be analysed at the limit to validate the level. In this study, the LOD was determined to be 10 ng/mL with a signal:noise ratio of 2.9. The LOQ was 20 ng/mL with a signal:noise ratio of 10.2. The RSD for six injections of the LOQ solution was ≤2%.
Analytical solution stability Validation of sample and standard solution preparation may be divided into sections, each of which can be validated. These include extraction; recovery efficiency; dilution process when appropriate; and addition of internal standards when appropriate. Although extraction processes do not actually affect the measuring stage they are of critical importance to the analytical test method as a whole. The extraction process must be able to recover the analyte from the product; it must not lose (for example, by oxidation or hydrolysis) any of the analyte in subsequent stages, and must produce extraction replicates with high precision. For example, during analysis of an ester prodrug the extraction process involves the use of strongly alkaline or acid solutions, it may cause some of the prodrug to be hydrolysed and, therefore, give false results.
Reference substances should be prepared so that they do not lose any of their potency. Thus it is necessary to validate that the method will give reliable reference solutions that have not been deactivated by weighing so little that an error is produced; adsorption onto containers; decomposition by light; and decomposition by the solvent. If the reference is to be made up from a stock solution then it must be validated that the stock solution does not degrade during storage. Reagent preparation should be validated to ensure that the method is reliable and will not give rise to incorrect solutions, concentrations and pH values.
Samples and standards should be tested during a period of at least 24 h (depending on intended use), and component quantitation should be determined by comparison with freshly prepared standards. For the assay method, the sample solutions, standard solutions and HPLC mobile phase should be stable for 24 h under defined storage conditions. Acceptable stability is ≤2% change in standard or sample response, relative to freshly prepared standards. The mobile phase is considered to have acceptable stability if aged mobile phase produces equivalent chromatography (capacity factors, resolution or tailing factor) and the assay results are within 2% of the value obtained with fresh mobile phase.
In the present study, the stabilities of progesterone sample and standard solutions were investigated. Test solutions of progesterone were prepared and chromatographed initially and after 24 h. The stability of progesterone and the mobile phase were calculated by comparing area response and area per cent of two standards with time. Standard and sample solutions stored in a capped volumetric flask on a lab bench under normal lighting conditions for 24 h were shown to be stable with no significant change in progesterone concentration during this period (Table VII).
Robustness Robustness measures the capacity of an analytical method to remain unaffected by small but deliberate variations in method parameters. It also provides some indication of the reliability of an analytical method during normal usage. Parameters that should be investigated are per cent organic content in the mobile phase or gradient ramp; pH of the mobile phase; buffer concentration; temperature; and injection volume. These parameters may be evaluated one factor at a time or simultaneously as part of a factorial experiment. The chromatography obtained for a sample containing representative impurities when using modified parameter(s) should be compared with the chromatography obtained using the target parameters.
Conclusion Method development involves a series of sample steps; based on what is known about the sample, a column and detector are chosen; the sample is dissolved, extracted, purified and filtered as required; an eluent survey (isocratic or gradient) is run; the type of final separation (isocratic or gradient) is determined from the survey; preliminary conditions are determined for the final separation; retention efficiency and selectivity are optimized as required for the purpose of the separation (quantitative, qualitative or preparation); the method is validated using ICH guidelines. The validated method and data can then be documented.
References 1. International Conference on Harmonization, "Q2A: Text on Validation of Analytical Procedures," Federal Register 60(40), 11260–11262 (1995).
2. International Conference on Harmonization, "Q2B: Validation of Analytical Procedures: Methodology; Availability," Federal Register 62(96), 27463–27467 (1997).
3. FDA, "Analytical Procedures and Methods Validation: Chemistry, Manufacturing and Controls Documentation; Availability," Federal Register (Notices) 65(169), 52776–52777 (2000).
4. www.fda.gov/cder/guidance/cmc3.pdf
5. USP 25–NF 20, Validation of Compendial Methods Section (1225) (United States Pharmacopeal Convention, Rockville, Maryland, USA, 2002) p 2256.
6. G.A. Shabir, "Validation of HPLC Chromatography Methods for Pharmaceutical Analysis. Understanding the Differences and Similarities Between Validation Requirements of FDA, the US Pharmacopeia and the ICH," J. Chromatogr. A. 987(1-2), 57-66 (2003).
7. C.E. Wood, "Medicare Program; Changes to the Hospital Outpatient Prospective," Med. J. Aust. 165, 510–514 (1996).
8. A. Prentice, "Medical Management of Menorrhagia," Br. Med. J. 319, 1343–1345 (1999).
9. D.T. Baired and A.F. Glasier, "Hormonal Contraception," New Engl. J. Med. 328, 1543–1549 (1993).
10. P.E. Belchetz, "Hormonal Treatment of Postmenopausal Women," New Engl. J. Med. 330, 1062–1071(1994).
- step 1 - selection of the HPLC method and initial system
- step 2 - selection of initial conditions
- step 3 - selectivity optimization
- step 4 - system optimization
- step 5 - method validation.
- keep it simple
- try the most common columns and stationary phases first
- thoroughly investigate binary mobile phases before going on to ternary
- think of the factors that are likely to be significant in achieving the desired resolution.
Mobile phase composition, for example, is the most powerful way of optimizing selectivity whereas temperature has a minor effect and would only achieve small selectivity changes. pH will only significantly affect the retention of weak acids and bases. A flow diagram of an HPLC system is illustrated in Figure 1.
Types of chromatography. Reverse phase is the choice for the majority of samples, but if acidic or basic analytes are present then reverse phase ion suppression (for weak acids or bases) or reverse phase ion pairing (for strong acids or bases) should be used. The stationary phase should be C18 bonded. For low/medium polarity analytes, normal phase HPLC is a potential candidate, particularly if the separation of isomers is required. Cyano-bonded phases are easier to work with than plain silica for normal phase separations. For inorganic anion/cation analysis, ion exchange chromatography is best. Size exclusion chromatography would normally be considered for analysing high molecular weight compounds (.2000).
Column dimensions. For most samples (unless they are very complex), short columns (10–15 cm) are recommended to reduce method development time. Such columns afford shorter retention and equilibration times. A flow rate of 1-1.5 mL/min should be used initially. Packing particle size should be 3 or 5 μm.
Detectors. Consideration must be given to the following:
- Do the analytes have chromophores to enable UV detection?
- Is more selective/sensitive detection required (Table I)?
- What detection limits are necessary?
- Will the sample require chemical derivatization to enhance detectability and/or improve the chromatography?
Fluorescence or electrochemical detectors should be used for trace analysis. For preparative HPLC, refractive index is preferred because it can handle high concentrations without overloading the detector.
UV wavelength. For the greatest sensitivity λmax should be used, which detects all sample components that contain chromophores. UV wavelengths below 200 nm should be avoided because detector noise increases in this region. Higher wavelengths give greater selectivity.
Fluorescence wavelength. The excitation wavelength locates the excitation maximum; that is, the wavelength that gives the maximum emission intensity. The excitation is set to the maximum value then the emission is scanned to locate the emission intensity. Selection of the initial system could, therefore, be based on assessment of the nature of sample and analytes together with literature data, experience, expert system software and empirical approaches.
Gradient HPLC. With samples containing a large number of analytes (.20–30) or with a wide range of analyte retentivities, gradient elution will be necessary to avoid excessive retention.
Determination of initial conditions. The recommended method involves performing two gradient runs differing only in the run time. A binary system based on either acetonitrile/water (or aqueous buffer) or methanol/water (or aqueous buffer) should be used.
Selectivity optimization in gradient HPLC. Initially, gradient conditions should be optimized using a binary system based on either acetonitrile/water (or aqueous buffer) or methanol/water (or aqueous buffer). If there is a serious lack of selectivity, a different organic modifier should be considered.
Step 4 - system parameter optimization. This is used to find the desired balance between resolution and analysis time after satisfactory selectivity has been achieved. The parameters involved include column dimensions, column-packing particle size and flow rate. These parameters may be changed without affecting capacity factors or selectivity.
Method development and validation can be simultaneous, but they are two different processes, both downstream of method selection. Analytical methods used in quality control should ensure an acceptable degree of confidence that results of the analyses of raw materials, excipients, intermediates, bulk products or finished products are viable. Before a test procedure is validated, the criteria to be used must be determined.
Analytical methods should be used within good manufacturing practice (GMP) and good laboratory practice (GLP) environments, and must be developed using the protocols set out in the International Conference on Harmonization (ICH) guidelines (Q2A and Q2B).1,2 The US Food and Drug Administration (FDA)3,4 and US Pharmacopoeia (USP)5 both refer to ICH guidelines. The most widely applied validation characteristics are accuracy, precision (repeatability and intermediate precision), specificity, detection limit, quantitation limit, linearity, range, robustness and stability of analytical solutions. Method validation must have a written and approved protocol prior to use.6
HPLC instrumentation The HPLC systems used for the validation studies consisted of Series 200 UV/Visible Detector, Series 200 LC Pump, Series 200 Autosampler and Series 200 Peltier LC Column Oven (all Perkin Elmer, Boston, Massachusetts, USA). The data were acquired via TotalChrom Workstation (Version 6.2.0) data acquisition software (Perkin Elmer), using Nelson Series 600 LINK interfaces (Perkin Elmer).
All chromatographic experiments were performed in the isocratic mode. The mobile phase was a methanol/water solution (75:25 v/v). The flow rate was 1.5 mL/min and the oven temperature was 40 ºC. The injection volume was 20 μL and the detection wavelength was set at 254 nm. The chromatographic separation was on a 25034.6 mm ID, 10 μm C18 μ-Bondapak column (Waters, Milford, Massachusetts, USA).
Percentage accuracy tends to be lower at the lower end of the calibration curve. The term accuracy is usually applied to quantitative methods but it may also be applied to methods such as limit tests. Accuracy is usually determined by measuring a known amount of standard material under a variety of conditions but preferably in the formulation, bulk material or intermediate product to ensure that other components do not interfere with the analytical method. For assay methods, spiked samples are prepared in triplicate at three levels across a range of 50-150% of the target concentration. The per cent recovery should then be calculated. The accuracy criterion for an assay method is that the mean recovery will be 100±2% at each concentration across the range of 80-120% of the target concentration. To document accuracy, ICH guidelines regarding methodology recommend collecting data from a minimum of nine determinations across a minimum of three concentration levels covering the specified range (for example, three concentrations, three replicates each).
In the present study, the accuracy of the method was evaluated by recovery assay, adding known amounts of progesterone reference standard to a known amount of gel formulation, to obtain three different levels (50, 100 and 150%) of addition. The samples were analysed, and mean recovery and %RSDs calculated. The data presented in Table IV show that the recovery of progesterone in spiked samples met the evaluation criterion for accuracy (100±2.0% across 80–120% of target concentrations).
Specificity Developing a separation method for HPLC involves demonstrating specificity, which is the ability of the method to accurately measure the analyte response in the presence of all potential sample components. The response of the analyte in test mixtures containing the analyte and all potential sample components (placebo formulation, synthesis intermediates, excipients, degradation products and process impurities) is compared with the response of a solution containing only the analyte. Other potential sample components are generated by exposing the analyte to stress conditions sufficient to degrade it to 80–90% purity. For bulk pharmaceuticals, stress conditions such as heat (50–60 ºC), light (600 FC of UV), acid (0.1 M HCl), base (0.1 M NaOH) and oxidant (3% H2O2) are typical. For formulated products, heat, light and humidity (70-80% RH) are often used. The resulting mixtures are then analysed, and the analyte peak is evaluated for peak purity and resolution from the nearest eluting peak.
Once acceptable resolution is obtained for the analyte and potential sample components, the chromatographic parameters, such as column type, mobile phase composition, flow rate and detection mode, are considered set. An example of specificity criterion for an assay method is that the analyte peak will have baseline chromatographic resolution of at least 2.0 from all other sample components. In this study, a weight of sample placebo equivalent to the amount present in a sample solution preparation was injected to demonstrate the absence of interference with progesterone elution (Figure 4).
Precision Precision means that all measurements of an analyte should be very close together. All quantitative results should be of high precision - there should be no more than a ±2% variation in the assay system. A useful criterion is the relative standard deviation (RSD) or coefficient of variation (CV), which is an indication of the imprecision of the system (Equation 2).
According to the ICH,2 precision should be performed at two different levels - repeatability and intermediate precision. Repeatability is an indication of how easy it is for an operator in a laboratory to obtain the same result for the same batch of material using the same method at different times using the same equipment and reagents. It should be determined from a minimum of nine determinations covering the specified range of the procedure (for example, three levels, three repetitions each) or from a minimum of six determinations at 100% of the test or target concentration.
Intermediate precision results from variations such as different days, analysts and equipment. In determining intermediate precision, experimental design should be employed so that the effects (if any) of the individual variables can be monitored. Precision criteria for an assay method are that the instrument precision and the intra-assay precision (RSD) will be ≤2%.
In this study, the precision of the method (repeatability) was investigated by performing six determinations of the same batch of product. The resulting data are provided in Table V, which show that the repeatability precision obtained by one operator in one laboratory was 0.28% RSD for progesterone peak area and, therefore, meets the evaluation criterion.
The standard deviation of the response can be determined based on the standard deviation of the blank, on the residual standard deviation of the regression line, or the standard deviation of y-intercepts of regression lines. The method used to determine LOD and LOQ should be documented and supported, and an appropriate number of samples should be analysed at the limit to validate the level. In this study, the LOD was determined to be 10 ng/mL with a signal:noise ratio of 2.9. The LOQ was 20 ng/mL with a signal:noise ratio of 10.2. The RSD for six injections of the LOQ solution was ≤2%.
Analytical solution stability Validation of sample and standard solution preparation may be divided into sections, each of which can be validated. These include extraction; recovery efficiency; dilution process when appropriate; and addition of internal standards when appropriate. Although extraction processes do not actually affect the measuring stage they are of critical importance to the analytical test method as a whole. The extraction process must be able to recover the analyte from the product; it must not lose (for example, by oxidation or hydrolysis) any of the analyte in subsequent stages, and must produce extraction replicates with high precision. For example, during analysis of an ester prodrug the extraction process involves the use of strongly alkaline or acid solutions, it may cause some of the prodrug to be hydrolysed and, therefore, give false results.
Reference substances should be prepared so that they do not lose any of their potency. Thus it is necessary to validate that the method will give reliable reference solutions that have not been deactivated by weighing so little that an error is produced; adsorption onto containers; decomposition by light; and decomposition by the solvent. If the reference is to be made up from a stock solution then it must be validated that the stock solution does not degrade during storage. Reagent preparation should be validated to ensure that the method is reliable and will not give rise to incorrect solutions, concentrations and pH values.
Samples and standards should be tested during a period of at least 24 h (depending on intended use), and component quantitation should be determined by comparison with freshly prepared standards. For the assay method, the sample solutions, standard solutions and HPLC mobile phase should be stable for 24 h under defined storage conditions. Acceptable stability is ≤2% change in standard or sample response, relative to freshly prepared standards. The mobile phase is considered to have acceptable stability if aged mobile phase produces equivalent chromatography (capacity factors, resolution or tailing factor) and the assay results are within 2% of the value obtained with fresh mobile phase.
In the present study, the stabilities of progesterone sample and standard solutions were investigated. Test solutions of progesterone were prepared and chromatographed initially and after 24 h. The stability of progesterone and the mobile phase were calculated by comparing area response and area per cent of two standards with time. Standard and sample solutions stored in a capped volumetric flask on a lab bench under normal lighting conditions for 24 h were shown to be stable with no significant change in progesterone concentration during this period (Table VII).
Robustness Robustness measures the capacity of an analytical method to remain unaffected by small but deliberate variations in method parameters. It also provides some indication of the reliability of an analytical method during normal usage. Parameters that should be investigated are per cent organic content in the mobile phase or gradient ramp; pH of the mobile phase; buffer concentration; temperature; and injection volume. These parameters may be evaluated one factor at a time or simultaneously as part of a factorial experiment. The chromatography obtained for a sample containing representative impurities when using modified parameter(s) should be compared with the chromatography obtained using the target parameters.
Conclusion Method development involves a series of sample steps; based on what is known about the sample, a column and detector are chosen; the sample is dissolved, extracted, purified and filtered as required; an eluent survey (isocratic or gradient) is run; the type of final separation (isocratic or gradient) is determined from the survey; preliminary conditions are determined for the final separation; retention efficiency and selectivity are optimized as required for the purpose of the separation (quantitative, qualitative or preparation); the method is validated using ICH guidelines. The validated method and data can then be documented.
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