Abbreviations
3D:
three-dimensional
AFM:
atomic force microscopy
ANOVA:
analysis of variance
AS/S ratio:
antisolvent-to-solvent ratio
AUC:
area under the curve
CCD:
central composite design
CV:
coefficient of variation
DLS:
dynamic light scattering
FTIR:
Fourier transform infrared spectroscopy
HPMC:
hydroxypropyl methylcellulose
PDI:
polydispersity index
RSM:
response surface methodology
SEM:
scanning electron microscopy
Introduction
Piper nigrum L. (Piperaceae), which is generally known as black pepper, is extensively used in
household spices and has paramount importance in the field of alternative medicine
[1]. Piperine is the major alkaloid of P. nigrum and possesses diverse pharmacological activities [2] such as antihypertensive [3], antioxidant [4], hypolipidemic [5], antiasthmatic [6], hepatoprotective [7], and antimicrobial [8] properties. It is not only a bioavailability enhancer but also a potent reactive
oxygen species quencher and it can inhibit lipid peroxidation [9], [10], [11]. Being a bioavailability enhancer, piperine serves as a drug receptor and potentiates
the drug via conformational interactions by making target cells more receptive [2].
Although piperine acts as a bioavailability enhancer, its water solubility is negligible
[12]. Its poor water solubility results in its limited bioavailability in biological
systems and necessitates the use of a higher dose of drugs to obtain the anticipated
pharmacological response. Therefore, it is imperative to improve the solubility of
piperine to obtain its maximum therapeutic efficacy in the biological system. Among
the various approaches, nanosuspension formulation is the method of choice that enhances
the delivery of sparingly water-soluble drugs [13], [14].
Nanoformulated herbal drugs possess efficient biopharmaceutical properties and desirable
target characteristics [15]. These nano-sized phytotherapeutic agents offer better pharmaceutical benefits over
traditional herbal preparations, including enhanced solubility, improved bioavailability,
reduced medicinal doses, and better residence time of drugs in biological systems
[16]. The enhanced bioavailability due to the smaller size and greater surface area [17] consequently reduces the treatment dose [18]. Nanosuspensions can also improve the pharmacokinetics of pharmaceutics [19].
To obtain an effective and pharmaceutically stable nanosuspension with the required
particle size and desired morphology, it is imperative to optimize formulation parameters.
The optimization of each parameter is time-consuming and expensive and does not determine
the effect of individual parameters on various responses [20]. Moreover, large numbers of trials are required in factorial design, which eventually
does not provide the required information (interactive effect), making the situation
more complex [21]. To overcome these problems, optimization studies can be effectively conducted using
RSM [22].
The present research was conducted to enhance the oral bioavailability of P. nigrum plant extract by formulating its nanosuspension. Different process parameters were
optimized using RSM to obtain a homogenous nanosuspension with a minimum particle
size. The optimized nanosuspension was characterized by spectroscopic techniques and
evaluated by in vitro dissolution testing and in vivo pharmacokinetic studies.
Results and Discussion
Nanosuspensions were prepared by the antisolvent precipitation method using an HPMC
stabilizer. The formulation parameters considered were the amount of plant extract
(A), concentration of stabilizer (B), and AS/S ratio (C). These parameters were optimized
using the CCD of RSM to obtain a homogenous nanosuspension with a minimum particle
size (z-average; nm) and standard PDI value. The statistical experimental design suggested
that the quadratic model was the most suitable model, with the smallest p values and
largest Fisher values (F values), to explain the relationship between independent
variables (amount of plant extract, concentration of stabilizer, and AS/S ratio) and
response variables [particle size (R1) and PDI (R2)]. After selecting the model, regression
equations (Equations 1 and 2) for the response variables were established. The positive
sign before the coefficients suggests a synergistic effect of independent variables
on particle size and PDI reduction, whereas the negative sign represents an antagonistic
effect.
P. nigrum (Size; nm)
(R1) = + 365.42 + 37.40A − 1.97B + 31.97C − 74.77AB − 99.50AC + 9.05BC + 0.92A2 + 66.74B2 + 1.70C2
(Equation 1)
P. nigrum (PDI)
(R2) = + 0.42 − 0.012A − 0.047B + 0.060C − 0.16AB + 0.049AC − 0.071BC − 4.633E-003A2 + 0.15B2 − 0.080C2
(Equation 2)
ANOVA was used to evaluate the linear, quadratic, and interactive effects of independent
variables on R1 and R2. The probability (p = 0.008 and p < 0.0001) and F (9.42 and
48.82) values for R1 and R2, respectively, reflected the significance of the quadratic
model for the optimal production of nanosuspensions with the desired properties ([Tables 1] and [2]). P values were used as a tool to check the significance of the model terms. A p
value of < 0.0500 indicated that the model terms were significant. The smaller the
p value, the more significant the corresponding coefficient was. The variables A and
C and the interactions AB, AC, and B2 had a significant effect on the nanosizing of P. nigrum, and the parameters B, C, AB, AC, BC, B2, and C2 had a significant effect on reducing PDI; the remaining parameters showed no effect
or an inverse relationship on particle size and PDI reduction ([Tables 1] and [2]).
Table 1 ANOVA for response surface quadratic model for the particle size of P. nigrum nanosuspensions.
Source of variance
|
Sum of square
|
df
|
Mean square
|
F value
|
P value Prob > F
|
Remarks
|
R2 = Coefficient of determination, Pred R2 = predicted R2, Adj R2 = adjusted R2, Adeq precision = adequate precision, CV = coefficient of variation
|
Model
|
2.23E+05
|
9
|
24 740.20
|
9.42
|
0.0008
|
Significant
|
A-Plant extract
|
19 100.72
|
1
|
19 100.72
|
7.28
|
0.0224
|
|
B-Stabilizer concentration
|
53.04
|
1
|
53.04
|
0.02
|
0.8898
|
|
C-Antisolvent/solvent ratio
|
13 956.52
|
1
|
13 956.52
|
5.32
|
0.0438
|
|
AB
|
44 727.41
|
1
|
44 727.41
|
17.04
|
0.0021
|
|
AC
|
79 209.96
|
1
|
79 209.96
|
30.17
|
0.0003
|
|
BC
|
654.86
|
1
|
654.86
|
0.25
|
0.6283
|
|
A2
|
12.24
|
1
|
12.24
|
4.66E-03
|
0.9469
|
|
B2
|
64 199.45
|
1
|
64 199.45
|
24.45
|
0.0006
|
|
C2
|
41.53
|
1
|
41.53
|
0.016
|
0.9024
|
|
Residual
|
26 252.41
|
10
|
2625.24
|
|
|
|
Lack of fit
|
8403.54
|
5
|
1680.71
|
0.47
|
0.7860
|
Nonsignificant
|
Pure error
|
17 848.87
|
5
|
3569.77
|
|
|
|
Cor total
|
2.49E+05
|
19
|
|
|
|
|
R2
|
0.8945
|
Adj R2
|
0.7996
|
Pred R2
|
0.6395
|
CV (%)
|
12.41
|
Adeq precision
|
11.685
|
Table 2 ANOVA for response surface quadratic model for PDI of P. nigrum nanosuspensions.
Source of variance
|
Sum of square
|
df
|
Mean square
|
F value
|
P value Prob > F
|
Remarks
|
R2 = Coefficient of determination, Pred R2 = Predicted R2, Adj R2 = Adjusted R2, Adeq precision = Adequate precision, CV = Coefficient of variation
|
Model
|
0.82
|
9
|
0.091
|
48.82
|
< 0.0001
|
Significant
|
A-Plant extract
|
1.93E-03
|
1
|
1.93E-03
|
1.04
|
0.3323
|
|
B-Stabilizer concentration
|
0.03
|
1
|
0.030
|
16.34
|
0.0024
|
|
C-Antisolvent/solvent ratio
|
0.05
|
1
|
0.050
|
26.80
|
0.0004
|
|
AB
|
0.21
|
1
|
0.210
|
115.17
|
< 0.0001
|
|
AC
|
0.019
|
1
|
0.019
|
10.28
|
0.0094
|
|
BC
|
0.04
|
1
|
0.040
|
21.76
|
0.0009
|
|
A2
|
3.09E-04
|
1
|
3.09E-04
|
0.17
|
0.692
|
|
B2
|
0.33
|
1
|
0.330
|
176.53
|
< 0.0001
|
|
C2
|
0.092
|
1
|
0.092
|
49.52
|
< 0.0001
|
|
Residual
|
0.019
|
10
|
1.86E-03
|
|
|
|
Lack of fit
|
0.011
|
5
|
2.21E-03
|
1.47
|
0.3416
|
Nonsignificant
|
Pure error
|
7.53E-03
|
5
|
1.51E-03
|
|
|
|
Cor total
|
0.84
|
19
|
|
|
|
|
R2
|
0.9777
|
Adj R2
|
0.9577
|
Pred R2
|
0.8762
|
CV (%)
|
9.26
|
Adeq precision
|
27.348
|
The nonsignificant lack of fit F value of R1 (0.47) and R2 (1.47) demonstrated good
predictability of the model. The quality of fit for the quadratic model was further
evaluated using the coefficient of determination (R2). R2 for particle size (0.8945) and PDI (0.9777) indicated 89.45 and 97.77% variability
in both responses. The model was stronger and predicted a better response as R2 was closer to 1.000. In previous studies, a regression model with R2 > 0.9000 has been considered to have a very high correlation [23]. The CV was calculated to be 12.41 and 9.26% for R1 and R2, respectively, and was
found to be satisfactory ([Tables 1] and [2]).
The influence of all independent variables on the various responses of the nanosuspension
formulation of P. nigrum was evaluated using 3D response surface plots. In each plot, the combined effect
of two variables was simultaneously examined, whereas a third factor was kept at its
central point. Response surface plots showing the interactive effect of all independent
variables on the particle size and PDI of P. nigrum nanosuspensions are presented in [Figs. 1] and [2]. These plots show that all three formulation parameters have a significant impact
on particle size and PDI reduction of P. nigrum nanosuspensions. However, the impact of the amount of plant extract is more prominent.
Minimum particle size and PDI are observed when the amount of plant extract is less.
The classical crystallization theory explains the impact of drug concentration (plant
extract in the present case) on particle size. According to this theory, during nanoformulation,
the precipitation of nanoparticles involves a series of steps including nucleation,
molecular growth, and growth by coagulation and condensation, followed by agglomeration.
Furthermore, the rate of each step governs the final particle size and particle size
distribution. Supersaturation is the crucial driving force of this process and determines
not only the nucleation rate but also the diffusion-controlled growth rate. The nucleation
and growth of particles occur simultaneously, and both compete for supersaturation
[24]. At a higher drug concentration, due to higher supersaturation, the rapid diffusion-controlled
growth and agglomeration rates were more dominant than the nucleation rate that gave
rise to larger particles [25], [26].
Fig. 1 3D response surface graphs for the particle size of P. nigrum nanosuspensions. (A) Amount of plant and concentration of stabilizer, (B) concentration of stabilizer and AS/S ratio, and (C) amount of plant and AS/S ratio.
Fig. 2 3D response surface graphs for PDI of P. nigrum nanosuspensions. (A) Amount of plant and concentration of stabilizer, (B) concentration of stabilizer and AS/S ratio, and (C) amount of plant and AS/S ratio.
A gradual increase in particle size was also observed by increasing the concentration
of HPMC. This may be due to the fact that an excessive amount of polymer increases
particle size by increasing the size of the outer polymer surface and inhibits diffusion
between the solvent and antisolvent during precipitation. Moreover, an increase in
osmotic pressure by increasing polymer concentration results in an enhanced attraction
among colloidal particles, thus leading to a larger particle size [27]. Furthermore, an increase in particle size and PDI by increasing the concentration
of the stabilizer may result from Ostwald ripening [28]. In another study, the particle size of resveratrol nanosuspension was increased
by increasing the amount of the drug and concentration of the stabilizer [26].
Desirability and overlay plots created using Design Expert Software (version 7.1,
Stat-Ease, Inc.) to attain the optimum values of independent variables (A, B, and
C) for the formulation of P. nigrum nanosuspension with a minimum particle size and PDI are shown in [Fig. 3]. These plots further confirm the validity of the selected quadratic model of CCD
of RSM in optimization studies. Particle size (172.5 nm), PDI (0.241), and zeta potential
(− 16.6 mV) confirmed the stability of the formulated nanosuspension ([Fig. 4 A, B]).
Fig. 3 (A) Desirability and (B) overlay plot for particle size and PDI values of P. nigrum nanosuspensions.
Fig. 4 (A) Zeta size, PDI, and (B) zeta potential value of optimized P. nigrum nanosuspension.
AFM of P. nigrum nanosuspension was conducted for illustrating the particle distribution. Thus, the
overall particle distribution was observed to be uniform; however, the nanoparticles
were observed to be submerged in the polymer layer at some places. The observed mean
particle height of the P. nigrum nanosuspension was 55.78 nm ([Fig. 5]). The particle size observed by AFM was smaller (50.78 nm) than that (172.9 nm)
obtained by DLS. Fritzen-Garcia et al. [29] stated that the particle size of a nanosuspension measured by AFM was smaller than
that measured by DLS. This is due to the presence of a solvent in measurements taken
by DLS, which causes nanoparticle swelling [30].
Fig. 5 AFM image of P. nigrum nanosuspension.
SEM of the P. nigrum nanosuspension at two different resolutions demonstrated an average particle size
of < 1 µm ([Fig. 6]), which indicated no aggregation of particles. HPMC provided better stability to
the nanosuspension, even after lyophilization. The particles were discrete and uniform
and had a spherical- and rod-like shape with a smooth surface, which is a quality
characteristic of HPMC [31], [32].
Fig. 6 SEM images of P. nigrum nanosuspension at (A) 1000 × magnification (10 µm bar size) (B) 10 000× magnification (1 µm bar size).
Compared to the coarse plant extract, FTIR analysis of P. nigrum revealed a slight shift or disappearance of some peaks in the spectrum of the nanosuspension
(Fig. 1S, Supporting information). However, the peak characteristics of the functional group
region (3500 – 1900 cm−1) showed smaller variations than peaks in the fingerprint region (1600 – 450 cm−1). In the nanosuspension, peaks in the region of 3200 – 3550 cm−1, which were characteristics of an –OH bond, became more intense with a slight decrease
in wavenumber. This may be due to H-bonding [33]. The other peaks varied to a very small extent from 2936.77 cm−1 and 2855.42 cm−1 in the plant extract to 2917.63 cm−1 and 2850.21 cm−1 in the nanosuspension. These peaks (2936.77 cm−1 and 2855.42 cm−1) illustrated the presence of symmetric and asymmetric –CH and –CH2 stretching. The peak at 1632.15 cm−1 represented –CO-N stretching, and a sharp peak at 927.91 cm−1 was characteristic of –CO stretching. A more prominent peak at 1444.42 cm−1 was representative of –CH2 bending. The peaks at wavenumbers 803.80, 846.49, and 821.20 cm−1 were for out of the plane –CH bending and two adjacent substituted hydrogen atoms
of 1,2,4-trisubstituted phenyl, respectively. All these peaks confirmed the presence
of piperine as the major constituent in the coarse extract of P. nigrum. The fingerprint region (1600 – 450 cm−1) of the spectrum of the nanosuspension showed greater resemblance with the spectrum
of the stabilizer than with the spectrum of the coarse plant extract. This may be
due to some physical interactions between the plant extract, stabilizer, and antisolvent
[34] during nanoformulation. The present outcomes, which were similar to those obtained
in a previous study [35], indicated that the plant extract in pure form or in nanosuspension form has the
same structural features in terms of functional groups.
Results of the dissolution profile of the P. nigrum coarse extract and nanosuspension are presented in [Fig. 7]. A greater concentration of piperine in the dissolution medium was observed for
the nanosuspension (73.66%) after 120 min than in the coarse extract (14.37%). This
indicated a 3.65-fold increase in the dissolution behavior of the nanosuspension.
The dramatically enhanced dissolution rate of the nanosuspension may result from the
increased effective surface area [36] and decreased particle size [31] in accordance with Noyes Whitneyʼs equation [37]. Comparable results were found by Kakran et al. [38], who fabricated nanoparticles of silymarin, hesperetin, and glibenclamide by the
evaporative precipitation of the nanosuspension and concluded that the dissolution
rate increased by reducing the particle size and increasing the surface area available
for dissolution.
Fig. 7 In vitro dissolution profile of P. nigrum nanosuspension and coarse extract. Results are expressed as the mean ± SD (n = 3).
C. Ext = coarse extract, Nano = nanosuspension.
In in vivo trials, the concentration-time graph in pharmacokinetic studies showed a higher concentration
of piperine in the plasma samples of rats treated with the P. nigrum nanosuspension than in those of rats treated with the coarse suspension at all studied
time intervals ([Fig. 8]). The maximum concentration (Cmax) of piperine was achieved after 1 h (Tmax) of oral administration of the P. nigrum nanosuspension; this maximum concentration was 1.73-fold higher than that of the
coarse suspension. After Tmax, the concentration of piperine started decreasing, indicating drug clearance from
the biological system. However, the drug clearance rate was slower for the nanosuspension
than for the coarse suspension, demonstrating its sustained release and greater residence
time in the biological system. Tian et al. [39] found a prolonged residence time of the nanosuspension. The greater mean AUC (AUC0 – 24 h) for the nanosuspension than for the coarse suspension ([Table 3]) represents a 2.7-fold increase in the bioavailability of the P. nigrum nanosuspension compared to its coarse suspension. Significant improvement in the
Cmax and AUC of the nanosuspension indicated better in vivo exposure of the nanosuspension through particle size reduction [40], which can be explained by the improved saturation solubility of the nanoparticles,
as they are absorbed without the initial time-consuming step [36]. Furthermore, nanosuspension preparation for oral administration results in effective
therapeutic concentrations in the blood because solubility and absorption problems
in the gastrointestinal tract can be managed by extensively reducing the particle
size of the nanosuspension [41], [42].
Fig. 8 Concentration of piperine (µg/mL) in plasma samples of rats after oral administration
of P. nigrum coarse suspension and nanosuspension. Results are expressed as the mean ± SD (n = 3).
C. sus = coarse suspension, Nano = nanosuspension.
Table 3 Pharmacokinetic parameters after oral administration of P. nigrum nanosuspension and coarse suspension to experimental rats.
Parameters
|
Nanosuspension
|
Coarse suspension
|
Results are expressed as the mean ± SD (n = 3). Cmax = maximum concentration, Tmax = time to reach maximum concentration, AUC = area under the curve
|
Cmax (µg/mL)
|
2.86 ± 0.24
|
1.65 ± 0.37
|
Tmax (h)
|
1.0 ± 0.00
|
1.0 ± 0.00
|
AUC0 – 24 h (µgh/mL)
|
8.85 ± 1.21
|
3.28 ± 0.86
|
To the best of our knowledge, the formulation and pharmacokinetic evaluation of the
nanosuspension of the P. nigrum plant extract have been conducted for the first time. In summary, nanosuspensions
possess smaller particle sizes, higher surface areas, faster dissolution rates, less
drug doses, lesser side effects, and enhanced bioavailability [43]. The results showed a distinctive comparison of the pharmacokinetics and dissolution
properties between the nanosuspension and the coarse suspension of P. nigrum.
Materials and Methods
Plant collection and extract preparation
P. nigrum L. (fruit) was purchased from the local market of Faisalabad and identified by a
plant taxonomist (Dr. Mansoor Hameed) at the Department of Botany, University of Agriculture,
Faisalabad (UAF). A voucher specimen (228 – 2 – 2016) was deposited at the herbarium
of the Department of Botany, UAF. The plant material was grounded to a fine powder
after washing and drying. Fat/oil contents were removed with n-hexane (1 : 10 w/v) using a Soxhlet extractor. To obtain crude piperine, defatted
plant material (30 g) was extracted with ethanol (300 mL) for approximately 6 – 8 h
and the filtered extract was concentrated in a rotary evaporator (Buchi) and stored
in a refrigerator for further use.
Formulation and optimization of nanosuspension
Nanoprecipitation (bottom-up approach) was used for the formulation of the nanosuspensions
[44], with some modifications. The plant extract was completely dissolved in ethanol,
and the organic phase was slowly injected (1 mL/min) with a syringe connected to a
thin Teflon tube into an aqueous phase containing the stabilizer (HPMC) with continuous
stirring at 6000 rpm for 6 h at room temperature. The requisite formulation parameters,
i.e., amount of plant extract, concentration of stabilizer, and AS/S ratio, were optimized
using the CCD of RSM. A standard stratagem of preliminary trials was used to determine
the best possible conditions for the formulation of nanosuspensions. The CCD of RSM
propounded 20 different conditions to perform the experiment for the optimal production
of nanosuspensions by varying the amount of plant extract from 0.13 to 0.5%, the concentration
of the stabilizer from 0.25 to 2%, and the AS/S ratio from 10 to 20 (Table 1S, Supporting information). The average particle size (z-average; nm) and PDI of the
formulated nanosuspensions were selected as the response variables. The optimized
nanosuspension (nanosuspension with a minimum particle size and appropriate PDI) was
lyophilized at − 60 °C for 72 h. The freeze-dried sample was ground to a fine powder
and used for solid-state characterization.
Characterization of the nanosuspension
The mean particle size (z-average; nm), PDI, and zeta potential of the nanosuspensions
were measured by DLS using Malvern Zetasizer (Nano ZS). AFM (Shimadzu) was used for
3D characterization of the optimized nanosuspension. Surface morphology was evaluated
by SEM (JEOL). Drug excipient interactions were evaluated by means of FTIR spectroscopy
(Perkin Elmer). FTIR spectra of the crude herbal extract, optimized nanosuspension,
and stabilizer (HPMC) were recorded.
In vitro dissolution testing
In vitro dissolution testing was conducted by adopting a modified version of the method used
by Gera et al. [37]. USP dissolution apparatus type II (pharma test de) was used for dissolution testing
of the coarse herbal extract and nanosuspension. For this purpose, an encapsulated
500-mg sample (coarse plant extract and lyophilized nanosuspension) was placed in
900 mL of the dissolution medium (0.1 M phosphate buffer at pH 7.4) at a temperature
of 37 ± 0.5 °C with a stirring rate of 50 rpm. Aliquots (5 mL) were withdrawn from
the dissolution medium at predetermined time intervals (0, 15, 30, 45, 60, 75, 90,
and 120 min), and the same volume of the prewarmed (37 °C) dissolution medium was
immediately added to the dissolution vessel to maintain sink conditions. The concentration
of the dissolved drugs (piperine equivalent) was spectrophotometrically determined
at a wavelength of 342 nm (λ
max of piperine). The concentration of piperine was evaluated from the regression equation
generated from the calibration curve of standard piperine. The results are presented
as drug dissolved (%) for the coarse plant extract and nanosuspension. All experiments
were conducted in triplicate, and results are presented as the mean ± SD (n = 3).
In vivo pharmacokinetic study
According to the International Ethical Guidelines and under the supervision of veterinary
doctors of the Clinical Medicine and Surgery Department, UAF, the animal model was
designed to conduct in vivo pharmacokinetic studies. The proposal was approved by the Synopsis Scrutiny Committee
(No. Chem-354, dated 15-02-2016) and endorsed by the Graduate Study Research Board
through letter no. GDS/15501-4 dated 09-03-2016. Prof. Dr. Ghulam Muhammad oversaw
the use of rats in this research; these rats were utilized as per the principles of
the 3Rʼs. For pharmacokinetic studies, male Wistar albino rats (250 ± 20 g) were kept
in an animal house for 1 week to acclimatize and were fed with a normal rat diet (rat
chaw and grains). Two groups of three rats were made. Before the experiment, the rats
were fasted overnight with free access to water. For comparison, the rats in the first
group were orally administered the P. nigrum nanosuspension (50 mg/kg body weight), whereas those in the second group were orally
administered the coarse suspension of P. nigrum at the same dose.
Blood samples (0.5 mL) were withdrawn by cardiac puncture in sodium heparinized tubes
at predetermined time intervals of 0.5, 1, 2, 4, 6, 12, and 24 h. Plasma was separated
after centrifugation at 170 × g for 20 min and stored at − 20 °C for further analysis. Piperine was extracted from
the plasma samples by adopting the method used by Roy et al. [45] and quantified (µg/mL) by HPLC (model LC-10A; Shimadzu) using the standard calibration
curve of piperine. A Supelco analytical HS (C-18) column having a length of 15 cm,
diameter of 4.6 mm, and thickness of 5 µm was used. The mobile phase (methanol : water,
70 : 30) flow rate was adjusted to 1 mL/min. The temperature of the column oven was
set to 30 °C, and the pressure of the delivery pump was adjusted to 4413 kilopascal.
A UV-visible detector (model SPD-10A; Shimadzu) was set at a wavelength of 340 nm.
Acquisition software (class LC-10; Shimadzu) was used for analyzing the chromatograms.
Determination of pharmacokinetic parameters
Pharmacokinetic parameters such as peak plasma concentration (Cmax) and time required to achieve peak plasma concentration (Tmax) were determined directly from the concentration-time graph. The AUC (AUC0 – 24 h) was determined by the trapezoidal method [37] using Microsoft Excel, 2007. Results are presented as the mean ± SD (n = 3).
Statistical analysis
The CCD of RSM was used for optimizing the formulation parameters. The significance
of the studied independent variables and their interactions were tested by ANOVA.
Dissolution rates and values of various pharmacokinetic parameters are expressed as
the mean ± SD (n = 3).