Different Spectrophotometric Methods Manipulating Ratio Spectra Applied for the Analysis of Aclidinium in Duaklir ® Genuair ® Inhalation Powder

Two simple, accurate, and selective spectrophotometric methods were developed to determine aclidinium in the presence of formoterol as interferent compound in Duaklir Genuair inhalation powder. )e methods under study are ratio derivative and ratio subtraction spectrophotometric methods. )ese methods are based on different mathematical processing of the obtained ratio spectra. )e methods are linear over the concentration range of 5–50 μg/mL for aclidinium and validated according to the ICH guidelines. )e accuracy and precision are found to be within the acceptable limits and assessed by applying the standard addition technique. )e specificity of the proposed methods was tested using laboratory-prepared mixtures. Furthermore, the methods were statistically compared to the reported RP-HPLC method, and good results were obtained.


Introduction
Duaklir Genuair is a recently approved two-component inhalation mixture of aclidinium and formoterol used to relieve symptoms in adult patients with chronic obstructive pulmonary disease [1].Aclidinium (Figure 1(a)) acts through its binding to M3 receptors located on the bronchial smooth muscle and the vascular endothelium in the lung thus resulting in bronchodilation [2, 3].Formoterol (Figure 1(b)) exhibits its bronchodilator activity through its long and selective sympathomimetic action on the bronchial smooth muscles [4].
e literature survey revealed that several methods were developed for the determination of formoterol either alone [5][6][7][8] or in many other combinations [9][10][11][12][13], and only one liquid chromatographic method was developed for the assay of aclidinium and formoterol in their combined dosage form [14].
Time saving, cost effectiveness, and the ability for resolving overlap of binary and multicomponents without pretreatment of the sample are well-characterized advantages of using different spectrophotometric techniques in pharmaceutical analysis over other techniques such as HPLC and electrochemical techniques [15][16][17].Hence, the aim of the present work is to develop two accurate and precise spectrophotometric methods manipulating ratio spectra, namely, ratio derivative [18] and ratio subtraction [19,20].
e methods were applied for the determination of aclidinium in the presence of formoterol as the interferent compound in Duaklir Genuair and in their laboratoryprepared mixtures.

Instruments.
Shimadzu dual beam UV-visible spectrophotometer (Kyoto, Japan) model UV-1800 PC connected to a compatible IBM and an HP 1020 laser jet printer.
e bundled software, UV-Probe personal spectroscopy software version 2.43 (Shimadzu), was used.

Software.
e bundled software, UV-Probe personal spectroscopy software version 2.43 (Shimadzu), was used.Ratio derivative and ratio subtraction methods were implemented in Matlab 8.2.0.701 (R2013b) using our own written scripts.e t-test, F-test, and one-way ANOVA were performed using Microsoft Excel.

Standard Solutions.
Stock standard solutions of aclidinium bromide and formoterol fumarate dihydrate (100 µg/mL) were prepared by dissolving 10 mg of each drug in 75 mL methanol, and the volume was completed to 100 mL with the same solvent.
2.5.Procedure 2.5.1.General Procedures.In a series of 10 mL volumetric flasks, aliquots of aclidinium (100 μg/mL) equivalent to 50-500 μg were transferred and diluted to volume with methanol.e absorption spectra (from 200 to 400 nm) of these solutions were recorded using methanol as a blank and then divided by the spectrum of formoterol solution (8 µg/mL).
(i) Ratio derivative method: e first derivative corresponding to each ratio spectrum was recorded, using Δλ � 8 nm and scaling factor � 5. e amplitude values were measured at 229 nm.(ii) Ratio subtraction method: e amplitude values at 290 nm in the ratio spectra were subtracted from each ratio spectrum, followed by multiplication of the obtained spectra by the divisor (8 µg/mL formoterol).e amplitude values were measured at 238 nm.

Application to Laboratory-Prepared Mixtures.
Aliquots of aclidinium bromide and formoterol fumarate dihydrate were mixed in different ratios.e absorption spectra of the prepared mixtures were recorded, and the concentrations of aclidinium bromide were calculated using the procedure described under the mentioned methods.

Application to Pharmaceutical Preparation.
A quantity equivalent to 10 mg of aclidinium bromide was accurately weighed and transferred, then the volume was made up to 75 mL with methanol.e solution was shaken vigorously for 15 min, then sonicated for 30 min and completed to 100 mL with the same solvent to obtain a solution labeled to contain 100 μg/mL of aclidinium bromide.e solution was filtered.Further dilutions with the same solvent were performed to obtain working solutions to be assessed by referring to the procedure described under the mentioned methods.

Results and Discussion
Aclidinium bromide and formoterol fumarate dihydrate are the active ingredients of Duaklir Genuair inhalation powder.
e zero-order absorption spectra of these two drugs show severe overlap as shown in Figure 2, which creates difficulty in their analysis.It is noteworthy to mention that several methods were devoted for the analysis of formoterol either alone or in many other combinations.Moreover, the authors believe that the application of sample enrichment technique to determine formoterol as a minor component will produce false-positive results, and it will be difficult to determine formoterol in the pharmaceutical dosage form accurately. ) and (10 µg/mL) formoterol fumarate dehydrate (--------).

2
Journal of Spectroscopy Hence, the main theme of this work is to determine aclidinium bromide in the presence of formoterol fumarate dihydrate as the interferent using two methods manipulate ratio spectra, namely, ratio derivative and ratio subtraction.e ratio spectra were obtained by dividing aclidinium spectra by a definite concentration of formoterol.Different concentrations of the divisor were tried (6, 8, and 10 μg/mL), and the divisor concentration (8 μg/mL) was found to be the best choice regarding signal-to-noise ratio, repeatability, sensitivity, and average recovery percent when used for the prediction of aclidinium by the proposed methods is shown in Figure 3.
In the ratio derivative method, the amplitudes of the first derivative of the ratio spectra at 229 nm were proportional to the concentrations of aclidinium without interference from formoterol (divisor) is shown in Figure 4.
In the ratio subtraction method, the laboratory-prepared mixtures were divided by the spectrum of formoterol to get the ratio spectra is shown in Figure 5, then subtraction of the absorbance values in plateau region at 290 nm (the constant) is shown in Figure 6, followed by multiplication of the obtained spectra by the spectrum of the divisor is shown in Figure 7. e peak amplitude at 238 nm in the final spectra is proportional to the concentrations of aclidinium without interference from formoterol.

Method Validation.
Validation of the proposed methods was done according to the ICH guidelines [21].e linearity of all the methods was determined over the concentration range of 5-50 μg/mL for aclidinium bromide.e limit of detection (LOD) and the limit of quantitation (LOQ) were calculated according to the ICH guidelines.e lower values of the LODs and LOQs indicate the sensitivity of the developed methods.Figure 7: e zero-order absorption spectra of aclidinium (5-40 µg/mL) obtained by the proposed ratio subtraction method for the analysis of laboratory-prepared with formoterol (5-10 µg/mL) after multiplication by the divisor.e accuracy of the methods was determined by calculating the mean percent recovery of three determination of three different concentration of pure aclidinium bromide (20, 30, and 40 μg/mL).Good percent recoveries were obtained as indicated in Table 1.e precision of the developed methods was checked by measuring percent relative standard deviation (% RSD) of three concentrations for aclidinium bromide (20, 30, and 40 μg/mL) repeated three times in the same day (repeatability) and in three days (intermediate precision).
e obtained values of % RSD were <2%, confirming the high precision of the developed method.e summary of validation and regression parameters for the method is shown in Table 1.
e specificity of the developed methods was determined by analysis of laboratory-prepared mixtures of both aclidinium bromide and formoterol fumarate dihydrate, where good recoveries of aclidinium bromide were obtained confirming the specificity of the developed methods as shown in Table 2.Moreover, the standard addition technique was applied, where pure aclidinium bromide was added to already analyzed pharmaceutical preparation.Good recoveries of the pure standard drug were obtained confirming that the proposed methods could be adopted for the determination of aclidinium bromide without any possible interference from formoterol fumarate dihydrate, excipients, or additives.e obtained results are shown in Table 3.

Application of the Developed Method.
e developed methods were applied for the assay of aclidinium bromide in its commercial pharmaceutical formulation (Duaklir Genuair inhalation powder).
e obtained results of the developed methods compared with the reported HPLC method [14] are shown in Table 4.
e calculated t and   F values are less than the tabulated ones indicating that there are no significant differences between the two methods and the reported method.
Another statistical comparison of the obtained results by the proposed methods and the reported method was performed for the determination of aclidinium bromide in its pharmaceutical product using one-way ANOVA test is shown in Table 5. e results obtained by applying these methods show no significant differences between all of them.

Conclusion
Two spectrophotometric methods manipulating ratio spectra were applied for the selective determination of aclidinium bromide in the presence of formoterol fumarate dihydrate as the interferent without prior separation or pretreatment.e proposed methods are simple, sensitive, accurate, and precise manipulating ratio spectra.It does not need any sophisticated apparatus and could be easily applied in quality control laboratories.Moreover, the proposed method does not require multiple steps or complicated handling associated with chromatographic methods.ere is no derivatization step in the ratio subtraction method which enhance the signal-to-noise ratio.However, special software such as Matlab is needed for doing the data analysis of this method.e developed methods have been statistically compared to the reported HPLC method by analyzing their mean and variance using different methods.e results indicate that no significance difference was found regarding the developed spectrophotometric methods and the reported HPLC method.

Table 3 :
Recovery study of aclidinium by adopting standard addition technique via the proposed ratio derivative and ratio subtraction methods.
a Average of five determinations by the ratio derivative method; b average of five determinations by the ratio subtraction method.

Table 1 :
Regression and validation of data for determination of aclidinium by the proposed ratio derivative and ratio subtraction methods.a is the response of each method; x b is the concentration of aclidinium in μg/mL in each method; c values for 3 determinations of 3 different concentrations. y

Table 2 :
Determination of aclidinium in mixtures with formoterol by the proposed ratio derivative and ratio subtraction methods.

Table 5 :
One-way ANOVA testing for the different proposed methods used for the determination of aclidinium bromide in Duaklir Genuair inhalation powder.