Shaza Affas*, Amir Alhaj Sakur
Analytical and Food Chemistry Department, Faculty of Pharmacy, University of Aleppo, Syria
*Corresponding Author E-mail: shazaaffas@gmail.com, profsakur@gmail.com
ABSTRACT:
KEYWORDS: simultaneous estimation, spectrophotometric, Vierordt’s method, Sildenafil, serotonin reuptake inhibitors.
1. INTRODUCTION:
This work discusses a simple, rapid, and reliable spectrophotometric method for the simultaneous determination of SIL+DLX and SIL+FLX. The Simultaneous equation or Vierordt’s method was not reported for these new combinations. This method is typically applied to determine drug combinations that contain two drugs or more than two drugs in combined dosage form. The procedures involved in this method are few compared to other UV methods. The developed method was fully validated and applied successfully for the simultaneous estimation of mentioned mixtures. The obtained results were compared with results obtained by reference method by applying static tests, which demonstrate that there is no sufficient difference between mentioned results.
2. MATERIALS AND METHODS:
2.1. Apparatus:
Uv-visible spectrophotometer (JASCO, model V650, Japan) with 1.00 cm quartz cells.
Pure samples of the three investigated drugs (Purity: 99.3–99.7%): Sildenafil citrate, Duloxetine hydrochloride and Fluoxetine hydrochloride (Fig.1). Reference standards were kindly obtained from Syrian Pharmaceutical Factories. (Shifa, Ibn al-Haytham, AL-Balsam).
Analytical grade methanol used as a solvent was purchased from Panreac, (E.U).
2.3. Preparation of standard solutions:
The standard stock solutions of SIL, DLX and FLX were prepared by dissolving 25 mg of each drug in 25 ml of methanol and final volume was adjusted with methanol to get solutions containing 1µg/ml, series of standard solutions were prepared to have concentration ranges mentioned in table 1. The absorbance of solutions was measured at λmax of each drug, individually. The calibration curves were plotted. All the drugs obeyed linearity in the concentration range under study. All solutions are stable for a period of 7 days when stored at (4°C).
Figure 1: Chemical structures of the studied drugs.
3. THEORETICAL BACKGROUND:
3.1 Simultaneous equation method:
This method of analysis was based on the absorption of both drugs in the binary mixture at the wavelength maximum of each other. The absorptivity values A (1%, 1cm) were determined for both drugs at the selected wavelengths [9].
If a sample contains two absorbing drugs (x and y) each of them absorbs at the λ max of the other one, both drugs may be possible to determine by the technique of simultaneous equation (Vierordt’s method) if certain criteria apply.
The concentration of both drugs in the mixture can be calculated by using following equations:
· The absorptivities of x at λ 1 and λ 2, ax1 and ax2 respectively
· The absorptivities of y at λ 1 and λ 2, ay1 and ay2 respectively
· The absorbance of the diluted samples at λ 1 and λ 2, A1 and A2 respectively.
Let Cx and Cy be the concentration of x and y respectively in the diluted samples.
Two equations are constructed depending on the fact: at λ 1, the absorbance of the mixture is the sum of the individual absorbance of x and y [10].
A1= ax1 b Cx + ay1 b cy eq. (1)
A2= ax2 b Cx + ay2 b cy eq. (2)
For measurements in 1 cm cells, b =1cm. Rearrange Eq. (2)
A2-ax1 Cx
C_y=--------------- eq. (3)
ay2
Substituting for Cy in eq. (1) and rearranging gives:
A2 ay1 – A1 a y2
C_X=------------------------------
ax2 ay1 – ax1 ay2 eq. (4)
A1 ax2 – A2 ax1
C_Y=----------------------
ax2 ay1 – ax1 ay2 eq. (5)
For the selection of analytical wavelengths, standard solutions of each drug were prepared separately by appropriate dilutions of standard stock solutions with methanol and scanned in in the UV range 200 – 400 nm to determine λ max of each drug. The overlay spectra of both drugs in each combination were recorded, from overlain spectra; wavelengths were selected for analysis of both drugs using simultaneous equation method. The λmax were found to be 292 nm, 288 nm and 227 nm for SIL, DLX, FLX, respectively.
In this work, the Simultaneous equation method was applied to determine mixture of SIL+DLX, but the determination of SIL+FLX was differentas it explained latter.
Figure 2:The overlay spectra of both drugs in each mixture.
3.2. Determination of SIL+FLX:
The method to determine the concentration of SIL+ FLX in their mixture is deferent because FLX has no absorbance at λ max of Sildenafil, so we can find the concentration of SIL directly, that Absorbance of sil = Absorbance of the mixture at 292. Whereas we can calculate the concentrations of FLX and SIL from equations:
A1 = ax1Csil eq. (6)
A2 = ax2Csil + ay2Cflx eq. (7)
A1: the absorbance of mixture at 292 nm, A2: the absorbance of mixture at 227 nm, ax1: the absorpitivity of sil at 292, ax2: the absorpitivity of sil at 227, ay2: the absorpitivity of FLX at 227.
By rearranging the equations 6,7:
A1
CSIL= ----- eq. (8)
ax1
A2 aX1 - A1 aX2
CFLX = --------------------- eq. (9)
aY2 aX1
The absorptivity value of each drug was calculated using following formula [10]
Absorbance
Absorbitivity=-------------------------------------
Concentration (gm ⁄ 100ml)
4. RESULTS AND DISCUSSION:
4.1. Selection of solvent:
After assessing, the solubility of both drugs, that form each binary mixture, in different solvents, methanol was selected as a common solvent for developing spectral characteristics. In addition, it gives us the pest sensitivity for analysis.
4.2. Analytical parameters:
4.2.1. Mixture 1 (SIL+DLX):
Linearity of SIL and DLX: series of the slandered solutions of SIL and DLX were prepared in the ranges of concentrations (1 – 60) µg/ml and (1-40) µg/ml, respectively. The absorbance of solutions was measured at λmax of SIL and λmax of DLX. The calibration curves were constructed by plotting absorbance versus concentration and the regression equations were resulting.
The equation regression of SIL: y = 0.0203x + 0.0103 at 292 nm
The equation regression of DLX:y = 0.0259x + 0.0036 at 288 nm
The apsorpitivities of SIL and DLX were calculated at two wavelengths 292, 288 nm to construct the simultaneous equations
Whereas
A1, A2 are the absorbance of mixture solution at 292 nm, 288 nm, respectively
4.2.2. MIXTURE 4 (SIL+FLX):
Linearity of SIL and FLX: series of the slandered solutions of SIL and FLX were prepared in the ranges of concentrations (2–20) µg/ml and (1-20) µg/ml, respectively.
The absorbance of SIL solutions was measured at λmax of FLX and λmax of FLX, whereas the absorbance of FLX solutions was measured at λmax of FLX (227 nm) only, because FLX solutions do not have absorbance at λmax of SIL.
The calibration curves were constructed by plotting absorbance versus concentration and the regression equations were resulting.
The equation regression of SIL: y = 0.0233x + 0.0084 at 292 nm
The equation regression of FLX: y = 0.0411x + 0.0065 at 227 nm
The apsorpitivities of SILwere calculated at two wavelengths 292, 227 nm and the apsorpitivity of FLXwas calculated at 227 to construct the simultaneous equations:
Whereas
A1, A2 are the absorbance of mixture solution at 292 nm, 227 nm, respectively.
The results were summarized in Tables 1, A1% values were mean of five estimations.
4.3. Analytical Method Validation:
4.3.2. Linearity:
The linearity of the methods was estimated by plotting the absorbance values of six concentrations of each drug and each concentration was repeated five times. Results show that there is a good correlation between the concentration of the sample and their absorbance. (Table1).
4.3.3. Precision and Accuracy:
Repeatability: five different concentrations of each drug in the binary laboratory-prepared mixtures were evaluated five times, intraday; using the proposed methods and the RSD was calculated. Also, the among day (inter-day) precision and accuracy were tested by analyzing the same concentrations using replicate determinations repeated on five days. RSD% values were less than 2.0%, thus confirming the high precision and accuracy of the developed method for estimation of the investigated drugs in their mixture (Table 2).
Accuracy was determined also by matching measured concentrations of each drug with the real values and by statistical comparison between the results obtained by the proposed spectrophotometric methods and the reported method (HPLC method) for the drugs determination in the pharmaceutical dosage form. The values of calculated t and F tests are less than the arranged onesat 95% confidence level. (Table 4)
Table1: Analytical parameters of spectrophotometric method
|
Mixture |
|
A1% λ1 |
A1% λ2 |
Linearity µg/ml |
Correlation coefficient |
LOD µg/ml |
LOQ µg/ml |
|
1 |
SIL (292 nm) |
202.96 |
198.59 |
1-60 |
0.9996 |
0.21 |
0.71 |
|
DLX (288 nm) |
245.51 |
259.17 |
1-40 |
0.9999 |
0.86 |
0.26 |
|
|
2 |
SIL (292 nm) |
233.21 |
547.03 |
2-20 |
0.9996 |
0.25 |
0.69 |
|
FLX (227 nm) |
- |
410.82 |
1- 20 |
0.9992 |
0.23 |
0.75 |
Table 2: Evaluation of precision and accuracy of the proposed methods for Determination of binary laboratory-prepared mixtures of the studied drugs:
|
|
Taken µg/ml |
INTERDAY |
INTRADAY |
|||||||
|
Recovery* |
RSD (%) |
Recovery* |
RSD (%) |
Recovery* |
RSD (%) |
Recovery* |
RSD (%) |
|||
|
Mixture 1 |
SIL |
DLX |
SIL |
DLX |
SIL |
DLX |
||||
|
1 |
1 |
101.33 |
1.68 |
101.20 |
1.98 |
102.00 |
1.18 |
101.00 |
1.98 |
|
|
10 |
3 |
99.93 |
1.42 |
99.47 |
1.68 |
100.80 |
0.32 |
102.00 |
0.88 |
|
|
20 |
6 |
99.80 |
0.93 |
101.33 |
1.53 |
99.40 |
0.75 |
101.17 |
1.27 |
|
|
30 |
9 |
100.34 |
1.67 |
98.20 |
1.85 |
101.40 |
0.67 |
101.20 |
1.80 |
|
|
5 |
5 |
101.20 |
1.52 |
101.00 |
1.52 |
100.30 |
1.50 |
100.80 |
0.99 |
|
|
10 |
10 |
100.94 |
1.60 |
100.45 |
0.85 |
101.15 |
0.44 |
100.55 |
0.30 |
|
|
20 |
20 |
101.33 |
1.68 |
101.20 |
1.98 |
102.00 |
1.18 |
101.00 |
1.98 |
|
|
Mixture 2 |
SIL |
FLX |
SIL |
FLX |
SIL |
FLX |
||||
|
2 |
1 |
101.60 |
1.28 |
101.90 |
1.88 |
101.50 |
0.99 |
102.00 |
0.98 |
|
|
10 |
4 |
100.30 |
1.95 |
99.45 |
1.91 |
101.20 |
2.00 |
101.50 |
1.97 |
|
|
20 |
8 |
99.23 |
1.61 |
100.90 |
1.93 |
100.90 |
1.59 |
101.75 |
1.97 |
|
|
5 |
5 |
100.55 |
0.93 |
101.08 |
1.66 |
100.65 |
0.60 |
99.88 |
0.95 |
|
|
10 |
10 |
101.20 |
1.72 |
99.70 |
0.80 |
101.20 |
1.38 |
101.48 |
1.54 |
|
|
20 |
20 |
100.48 |
0.97 |
100.76 |
0.99 |
100.90 |
0.34 |
101.58 |
0.63 |
|
Table 3: Results observed by changing the wavelength ± 1 nm.
|
|
Wavelength nm |
Taken |
Recovery* |
RSD (%) |
Wavelength nm |
Taken |
Recovery* |
RSD (%) |
|
Mixture 1 |
SIL |
DLX |
||||||
|
291 |
10 |
99.93 |
0.86 |
288 |
3 |
99.47 |
1.34 |
|
|
20 |
99.80 |
0.28 |
6 |
101.33 |
0.82 |
|||
|
30 |
100.10 |
0.18 |
9 |
99.98 |
0.78 |
|||
|
293 |
10 |
100.80 |
0.32 |
290 |
3 |
102.33 |
1.76 |
|
|
20 |
99.40 |
0.75 |
6 |
101.17 |
1.27 |
|||
|
30 |
99.43 |
0.18 |
9 |
100.33 |
0.78 |
|||
|
Mixture 2 |
SIL |
FLX |
||||||
|
291 |
10 |
99.90 |
0.60 |
226 |
4 |
101.00 |
1.49 |
|
|
20 |
100.50 |
0.45 |
8 |
101.13 |
0.99 |
|||
|
293 |
10 |
100.90 |
1.59 |
228 |
4 |
101.75 |
1.97 |
|
|
20 |
100.65 |
0.60 |
8 |
99.88 |
0.95 |
|||
*Found is mean of five determinations.
Twenty individual tablets were weighed and pulverized. An accurately weighed amount of the powder equivalent to one tablet was transferred into 100 ml volumetric flask and dissolve in 50 ml of methanol. The content of the flask was sonicated for 10 min then diluted to the volume with methanol. A portion of this solution was centrifuged for 20 min at 5000 rpm then 150 µl of the supernatant was transferred into 10 ml volumetric flask. The absorbance of the resulting solution was measured at the selected wavelengths.
The developed new simple simultaneous equation method was applied successfully to the marketed tablet dosage form and the assay results were indicating that this method could be effectively used for the estimation of both drugs in combined dosage form.
Table4: Results obtained for the determination of the studied drugs in their co-formulated tablets by the proposed method and reported Method
|
product |
Claim (mg/tab) |
Proposed method |
Reference method [7] |
t-test |
f-test |
|||
|
R* % |
sd |
R* % |
sd |
|||||
|
MlegraDxt ** |
SIL |
100 |
99.97 |
0.16 |
99.80 |
0.23 |
1.36 |
2.07 |
|
DLX |
30 |
100.25 |
0.02 |
100.27 |
0.08 |
1.75 |
4.00 |
|
|
MlegraFxt** |
SIL |
100 |
99.43 |
0.43 |
100.06 |
0.48 |
0.14 |
1.31 |
|
FLX |
40 |
99.35 |
0.36 |
99.65 |
0.11 |
0.79 |
1.49 |
|
At 95% confidence limit the theatrical t- and F value at five degree of freedom are t=2.776 and f=6.26. *Recovery is mean of five determinations. ** Products name.
The authors declare that there is no conflict of interests regarding the publication of this paper.
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Received on 18.10.2018 Modified on 16.11.2018
Accepted on 30.11.2018 © RJPT All right reserved
Research J. Pharm. and Tech 2019; 12(2):711-716.
DOI: 10.5958/0974-360X.2019.00126.4