Modulation
of drug release mechanism by Higuchi
model: Estimation of percent deviation
Ravindra Babu Baggi1*, Dr. Naveen Babu Kilaru2
1Department of Pharmaceutics, Sri Siddhartha Pharmacy
College, Nuzvid, 521201, India.
2Department of Pharmaceutical Biotechnology, KVSR
Siddhartha Pharmacy College, Vijayawada, 520010, India.
*Corresponding
Author E-mail: baggi.ravi39@gmail.com
ABSTRACT:
The objective of this study was to develop Nicorandil floating tablets by melt granulation technique
using combination of almond gum as swellable plus
retarding polymer and cetosteryl alcohol as waxy plus
retarding polymer. The drug release mechanism is analysed by both Higuchi model and
Hixson-Crowell model based on their higher
square of correlation coefficient (R2). The best formulation of MCS4 is selected
based on the identical drug release profile with theoretical release data
calculated from Robinson Erickson equation which follows Higuchi model for drug release from tablet core. Further, the drug release of best formulation which
follow Higuchi model is checked for its deviation from an ideal Higuchi release
profile. The
release profiles of the best formulation is greatly deviate the ideal Higuchi
release profile. In order to minimise the deviation, two-tiered method is used
and confirm the drug release at two phases as Hixson-Crowell model for first
phase and Higuchi model for second phase.
KEY WORDS: Controlled
release, Nicorandil, Higuchi model, Hixson-Crowell model, hydrophilic gum, hydrophobic polymer
INTRODUCTION:
The
oral route is the most preferred route of administration because of its patient
compliance. In the development of oral controlled drug delivery system, one of
the main challenges is to modify the GI retention time. It offers number of
advantages including improvement in reduced dosing frequency, therapeutic
efficacy, safety and patient compliance. Gastric retention time is one of the
important factor which can adversely affect the performance of the drugs when
administered simply by an oral controlled drug delivery system[1]. One of the approach to
enhance the GI retention time is to develop gastro-retentive drug delivery
systems (GRDDS) which provide an effective plasma drug concentration for longer
period thereby reducing the dosing frequency[2,3].
It
also has an advantage of minimizing the fluctuations in plasma drug concentration
by delivering the drug in a controlled and reproducible manner for prolonged
period of time[4,5}. It
is important to note that, the drug has to released in controlled manner after
administration and prediction of drug release mechanism is necessary.
The
present research is focused to develop Nicorandil floating
tablets by melt granulation technique using combination of hydrophilic gum like
almond gum (hereinafter called as AG) and hydrophobic polymer like cetosteryl alcohol (hereinafter called as CSA) selected to develop floating tablets because
the drug is highly water soluble[6].
Nicorandil is common choice of drug in cardiovascular
diseases like hypertension and angina pectoris, which require constant
monitoring. Nicorandil has a short steady state
half-life (1.33 hr)[7],
and necessitating the administration of 2 to 4 times daily[8] so as to maintain adequate
plasma levels of drug. The prepared tablets are evaluated for drug release
mechanism and the obtained values are compared with theoretical percentage of
drug released in order to determine the percentage deviation.
MATERIALS AND METHODS:
Materials:
Nicorandil was
obtained as a gift sample from Torrent Pharmaceuticals (P) Ltd., Gujrat, India; Cetosteryl alcohol
obtained from Loba Chemical, Mumbai, India; Sodium bicarbonate, Citric
acid and Lactose were purchased from SD fine chemicals, Mumbai, India; Talc
from Accord labs, Hyderabad, India. All other chemicals and reagents
used were analytical grade.
Calculation
of theoretical release profile of Nicorandil from
controlled release formulations [9,10]
The following procedure are commonly used to
calculate Loading (Immediate release) dose and Maintenance dose from Robinson-Erickson equation:
Where,
Xo = Conventional dose
(20 mg), Ke = First order elimination rate
constant[7] (0.521 hr-1),
Hence, an oral controlled
release floating matrix tablets of Nicorandil should
contain a total dose of 21 mg (approximately) for 24 hrs and should release
1.226 mg (6.01 %) in the first hour like conventional dosage form and rest of
the dose (20.339 - 1.226 = 19.173 mg) in remaining 23 hrs, i.e. 0.833 mg
(4.08%) per hour thereafter (up to 24 hrs). The theoretical drug release
profile can be generated using the above value which was shown in Table 5.
Preparation
of effervescent floating tablets by melt granulation technique
Nicorandil
effervescent floating tablets were prepared by direct compression technique
using combination of AG and CSA as retarding polymer. The composition of
various formulations of effervescent tablets with their codes is listed in
Table 1. All the ingredients except wax were passed through sieve 60 (#). The
wax/oil were melted in large china dish on hot plate and drug is added to it.
Then to this mixture, other sieved ingredients except talc are added and
stirred well to mix. The resultant mixture is allowed to solidify at room
temperature and then passed through sieve 44 (#) to form granules. The granules
are lubricated by adding talc extra granularly. The lubricated granules were
then compressed into a tablet using 10 mm standard flat-face punches on 6
station tabletting machine.
Table 1:
Composition of Nicorandil floating tablets using
different amounts of AG and CSA
|
Ingredients |
Quantity per
tablet (mg) |
|||||||||||
|
MCS 1 |
MCS 2 |
MCS 3 |
MCS 4 |
MCS 5 |
MCS 6 |
MCS 7 |
MCS 8 |
MCS 9 |
MCS 10 |
MCS 11 |
MCS 12 |
|
|
NCRD |
21 |
21 |
21 |
21 |
21 |
21 |
21 |
21 |
21 |
21 |
21 |
21 |
|
AG |
100 |
90 |
80 |
70 |
60 |
50 |
70 |
70 |
70 |
80 |
90 |
100 |
|
CSA |
50 |
60 |
70 |
80 |
90 |
100 |
90 |
100 |
110 |
80 |
80 |
80 |
|
NaHCO3 |
30 |
30 |
30 |
30 |
30 |
30 |
30 |
30 |
30 |
30 |
30 |
30 |
|
CA |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
10 |
|
SA |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
|
Lactose |
78 |
78 |
78 |
78 |
78 |
78 |
68 |
58 |
48 |
68 |
58 |
48 |
|
Talc |
6 |
6 |
6 |
6 |
6 |
6 |
6 |
6 |
6 |
6 |
6 |
6 |
NCRD = Nicorandil,
AG = Almond gum, CSA = Cetosteryl alcohol, NaHCO3
= Sodium bicarbonate, CA = Citric acid, SA = Stearic
acid
In
vitro release studies
of prepared tablets[12]
The
release rate of Nicorandil from prepared floating
matrix tablets was determined using USP dissolution testing apparatus II
(Paddle type). The dissolution test was performed using 900 ml of 0.1N HCL, at
37 ± 0.5°C and 50 rpm. A sample (5ml) of the specimen was withdrawn from the
dissolution apparatus periodically, and the samples were replaced with fresh
dissolution medium. After filtration and appropriate dilution (if necessary),
the absorbance of sample preparations was measured in 1cm cell on UV spectrophotometer
at 272 nm using 0.1N hydrochloric acid as blank. Triplicate runs were carried
out and the results were averaged.
RESULTS AND DISCUSSION:
Drug release from Nicorandil floating tablets evaluated at 0.1N HCl (pH 1.2) influenced by polymer concentration. Release
rate usually depends upon the presence of drug closer to the surface which
decreases with increasing hydrophobic polymer concentration and decreases the
amount of uncoated drug[13].
When in vitro drug release studies of
Nicorandil floating tablets using different polymers
were compared then all the formulation showed maximum amount of drug release
for prolonged period of time about 24 hr. From Table 2 it can be observed that,
the
drug release for the formulations
MCS1, MCS2, MCS3, MCS4, MCS5, and MCS6 is
found to be 99.686
%, 99.174 %, 98.786 %, 97.264 %, 94.042 % and 91.528 %, respectively
at
the end of 24 hours. The fact can be reasoned in the way that, an increase in
the hydrophobic polymer content results in decrease the drug release rate due
to decrease in the total porosity of the
matrices (initial porosity plus porosity due to the dissolution of the
drug) and also increases the tortuosity of the matrix and drug diffusion path-length
which in turn slows down diffusion and erosion from/of the matrix. These
behaviour can be explained in terms of release mechanism and suggested that,
because of the high hydrophobicity of lipid
materials, penetration of dissolution fluid was hindered through the matrix and
can progress in the dosage form by dissolving the grains of drug in contact
with it and leading to diminished drug release over an extended period.
Further, the dissolution of the drug particles on the surface of the matrix
allows the formation of channels, from which the drug was slowly released
followed by formation of a denser gel and slower erosion. The formulations
MCS7, MCS8 and MCS9 were prepared with ascending concentration of CSA by
maintaining static concentration of AG (70 mg) and the drug release at the end
of 24 hr was observed approximately as 95.361%, 92.763 % and 89.325 %,
respectively. The formulations MCS10, MCS11 and MCS12 were prepared with
ascending concentration of AG (80 mg, 90 mg and 100 mg, respectively) by maintaining static concentration of CSA
(80 mg) and the drug release at the end of 24 hr was observed as 96.463%,
92.763 % and 89.325 %, respectively. It was observed that, at constant level of
AG (70 mg), increment of CSA significantly retard the drug release. The release
profiles of Nicorandil from floating tablets made at
different lipid-wax concentrations showed that the increase in the amount of
CSA when maintained a static AG concentration yielded a slower drug release.
Interestingly, the same result was
observed with ascending concentration of AG when maintained a static
concentration of CSA i.e. with increased AG concentration and at a constant
level of CSA, yielded a slower drug release. The reason in former case may be,
when the CSA content in the matrix was increased may cause slower penetration
of the dissolution medium in matrices as a result of increased lipophilicity and leading to diminished drug release. The
reason in later case may be, an increase in hydrophilic polymer concentration
causes higher degree of swelling when contact with dissolution media which was
accountable for increased viscosity of gel as well as gel layer with long
diffusion path which cause a decrease in effective diffusion coefficient of
drug and reduction in drug release rate from the swelled tablet containing
higher concentration of hydrophilic polymer. The drug release mechanism is
identified by comparing the square of correlation coefficient values for
Higuchi model and Hixson-Crowell model.
Table 2:Drug release profiles of Nicorandil from floating tablets
|
Time (hr) |
MCS 1 |
MCS2 |
MCS3 |
MCS4 |
MCS5 |
MCS6 |
MCS7 |
MCS8 |
MCS9 |
MCS10 |
MCS11 |
MCS12 |
|
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
2 |
4.79 |
5.11 |
5.36 |
5.81 |
5.22 |
4.53 |
5.43 |
4.86 |
3.99 |
5.65 |
5.12 |
4.16 |
|
3 |
6.85 |
7.865 |
8.27 |
9.718 |
8.184 |
6.937 |
8.648 |
7.974 |
6.115 |
9.215 |
8.426 |
6.472 |
|
4 |
9.09 |
10.21 |
11.14 |
13.99 |
13.79 |
10.27 |
11.57 |
12.37 |
8.97 |
12.37 |
13.53 |
9.63 |
|
5 |
11.87 |
13.79 |
15.47 |
17.82 |
18.39 |
13.63 |
15.66 |
14.27 |
12.65 |
17.48 |
16.58 |
13.37 |
|
6 |
15.46 |
17.69 |
19.54 |
21.61 |
20.38 |
18.53 |
20.87 |
22.86 |
14.26 |
27.16 |
25.35 |
15.74 |
|
9 |
20.44 |
22.14 |
23.16 |
25.02 |
28.63 |
20.86 |
27.43 |
28.52 |
16.89 |
33.25 |
30.56 |
18.77 |
|
12 |
30.55 |
32.66 |
34.74 |
36.02 |
37.73 |
32.52 |
36.53 |
35.25 |
33.46 |
41.53 |
37.62 |
32.66 |
|
15 |
43.26 |
45.37 |
47.27 |
49.62 |
51.27 |
41.27 |
48.66 |
43.31 |
38.54 |
50.27 |
47.42 |
42.825 |
|
18 |
57.46 |
60.66 |
62.55 |
60.02 |
58.64 |
55.37 |
58.32 |
57.47 |
56.33 |
63.46 |
60.33 |
59.17 |
|
24 |
70.63 |
73.46 |
75.25 |
73.16 |
69.27 |
68.37 |
70.66 |
70.56 |
61.17 |
73.65 |
72.15 |
65.72 |
Higuchi
type drug release mechanism is followed by the formulation MCS1, MCS2, MCS3,
MCS4 and MCS10 because the R2 value closed to one for Higuchi model than Hixson-Crowell
model. The rest of the formulations
followed by Hixson-Crowell model, because the R2 value closed to one for Hixson-Crowell
model than Higuchi model (Table 6). The linearity in Higuchi equation
describes that, the mechanism of drug release from the swellable
matrix is diffusion, where as the linearity in Hixson-Crowell equation
describes that the mechanism of drug release is dissolution which results a change in surface area and diameter of
particles or tablets. Further,
the drug release profile of MCS4 is closed to theoretical drug profile among
all the formulations which follows Higuchi
model for drug release.
So, the formulation MCS4 is selected as the best formulation and further the
percentage of drug release deviation from an ideal Higuchi model is calculated.
MATHEMATICAL
METHOD FOR QUANTITATIVE EXPRESSION OF DEVIATION FROM HIGUCHI MODEL
Theoretical
computation
The
first step is to calculate the theoretical percentage of drug released using
the Higuchi equation. The straight line of percent drug released versus square
root of time is considered as a reference line (Figure 1). Because the relationship
between the percent drug released and square root of time is linear, the entire
dissolution profile may be compared using area under the curve (AUC), calculated
by the Trapezoidal rule. The precision of prediction can be increased by a
large number of data points. To predict proportionality between cumulative
percentage of drug released and the
square root of time from an ideal Higuchi drug release profile, the shaded area (time period from
't' to 't- a') of Figure 1, with zero percent deviation can be calculated by
the following equations,
Where,
KH = Higuchi rate
constant, t = time in hr, and a = difference between two successive
sampling time points. As the above equation is independent of time, AUCs are
constant at all the time points and depends only on difference between two
successive sampling time points.
For
an ideal 24 hr drug release from the dosage form, the Higuchi release rate
constant may be calculated by,
For
example, at 0 % deviation from ideal 24 hr Higuchi model (a = 1), AUC calculated as follows,
The
same shaded area (time period from '√t'
to '√(t-a)') of Figure 1, with
'α' percent deviation from the
Higuchi release profile can be represented by the following equations,
For
example, at +5 % deviation (α
=5 %) from ideal 24 hr Higuchi release profile (a = 1), AUC at any time calculated as follows,
Similarly,
for -5 % deviation with n
= 1,
Similarly,
the AUCs calculated for the reference line and the lines showing ±5, ±10, ±15, ±20, ±25
and ±30 %
deviations from the reference line are shown in Table 3.
Figure 1: Area under the curve for an ideal Higuchi release
profile
From
the above equation (Eq.8), it is evident that the AUCs for +α % deviation independent of time point (t); however, it depends on the
difference between two successive sampling time points (n). It is important to note that the AUCs increases with an
increase in percentage deviation from the reference line (Table 3). The average
absolute difference between AUCs (AADA) of the reference line and that of lines
showing ± α % deviations, at any
time point can be calculated by the following equation (Eq.10).
For
an ideal 24 hr Higuchi model, kH is
equal to 100/√24,
The equation
(Eq.11) denotes that AADA was a linear (Y=mX, where m
is slope) function of 'α' with
slope of '0.1021a' and the intercept is zero. This equation is used to
calculate AADAs of different percentage deviations (10%, 15%, 20%, 25%, and
30%) from reference line and represented in Table 4.
For
example, at +5 % deviation (α
=5 %) from ideal 24 hr Higuchi release profile (n = 1), AADA at t =
1 hr is calculated as follows,
DISCUSSION:
The
cumulative percentage Nicorandil released as a
function of time calculated for 24 hrs from gastroretentive
tablets using AG as swellable plus retarding polymer
and CSA as retarding plus waxy polymer. In order to understand the mechanism of
drug release from prepared gastroretentive tablets,
the release data is fitted to Higuchi model and Hixson-Crowell model. The
square of correlation coefficient (R2) values
is highest
for selected formulation MCS4 confirms the drug release from the dosage form
follows Higuchi model which indicates that the mechanism of drug release as
diffusion rather than dissolution.
An
ideal 24 hr Higuchi type release profile is back-calculated by plotting a graph
between square root of time (on X-axis) versus cumulative percentage of drug
release (on Y-axis) and treated as reference line (Figure 1). The comparative
dissolution profiles of the ideal 24 hr Higuchi model and test product was
presented in Figure 2. AUCs of both the curves are calculated using Trapezoidal
rule and further absolute difference of AUCs (AADA) also calculated. Using the values of absolute
difference of AUCs, the percentage deviations (α ) at each time data point (Table 5) for the test product
from the ideal 24 hr Higuchi release profile are calculated. Table 4 summarizes
the theoretical consideration and experimental determinations of cumulative
percentage of drug release including AADA and percent deviation (α ) values at different time
intervals calculated form applicability and common assumptions using discussed
mathematical models.
Table 3: Area under the curve (AUC) at different
percentage deviations from ideal Higuchi model of drug release.
|
Time(hr) |
Area under the
curve at positive percent deviation |
||||||
|
0 |
+5% |
+10% |
+15% |
+20% |
+25% |
+30% |
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
1 |
10.2062 |
10.7165 |
11.2268 |
11.7371 |
12.2474 |
12.7578 |
13.2681 |
|
2 |
10.2062 |
10.7165 |
11.2268 |
11.7371 |
12.2474 |
12.7578 |
13.2681 |
|
3 |
10.2062 |
10.7165 |
11.2268 |
11.7371 |
12.2474 |
12.7578 |
13.2681 |
|
4 |
10.2062 |
10.7165 |
11.2268 |
11.7371 |
12.2474 |
12.7578 |
13.2681 |
|
5 |
10.2062 |
10.7165 |
11.2268 |
11.7371 |
12.2474 |
12.7578 |
13.2681 |
|
6 |
10.2062 |
10.7165 |
11.2268 |
11.7371 |
12.2474 |
12.7578 |
13.2681 |
|
9 |
30.6186 |
32.1495 |
33.6805 |
35.2114 |
36.7423 |
38.2733 |
39.8042 |
|
12 |
30.6186 |
32.1495 |
33.6805 |
35.2114 |
36.7423 |
38.2733 |
39.8042 |
|
15 |
30.6186 |
32.1495 |
33.6805 |
35.2114 |
36.7423 |
38.2733 |
39.8042 |
|
18 |
30.6186 |
32.1495 |
33.6805 |
35.2114 |
36.7423 |
38.2733 |
39.8042 |
|
24 |
61.2372 |
64.2991 |
67.3609 |
70.4228 |
73.4846 |
76.5465 |
79.6084 |
|
Time(hr) |
Area
under the curve at negative percent deviation |
||||||
|
0 |
-5% |
-10% |
-15% |
-20% |
-25% |
-30% |
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
1 |
10.2062 |
9.6959 |
9.1856 |
8.6753 |
8.1650 |
7.6547 |
7.1443 |
|
2 |
10.2062 |
9.6959 |
9.1856 |
8.6753 |
8.1650 |
7.6547 |
7.1443 |
|
3 |
10.2062 |
9.6959 |
9.1856 |
8.6753 |
8.1650 |
7.6547 |
7.1443 |
|
4 |
10.2062 |
9.6959 |
9.1856 |
8.6753 |
8.1650 |
7.6547 |
7.1443 |
|
5 |
10.2062 |
9.6959 |
9.1856 |
8.6753 |
8.1650 |
7.6547 |
7.1443 |
|
6 |
10.2062 |
9.6959 |
9.1856 |
8.6753 |
8.1650 |
7.6547 |
7.1443 |
|
9 |
30.6186 |
29.0877 |
27.5567 |
26.0258 |
24.4949 |
22.9640 |
21.4330 |
|
12 |
30.6186 |
29.0877 |
27.5567 |
26.0258 |
24.4949 |
22.9640 |
21.4330 |
|
15 |
30.6186 |
29.0877 |
27.5567 |
26.0258 |
24.4949 |
22.9640 |
21.4330 |
|
18 |
30.6186 |
29.0877 |
27.5567 |
26.0258 |
24.4949 |
22.9640 |
21.4330 |
|
24 |
61.2372 |
58.1753 |
55.1135 |
52.0516 |
48.9898 |
45.9279 |
42.8660 |
Figure 2: Comparative dissolution
profiles of the ideal Higuchi model and test product
Table 4: Average absolute difference of AUCs (AADA) at different percentage deviations from ideal
Higuchi model
|
Time(hr) |
AADAs
values for percentage deviation from Higuchi model |
|||||
|
5 |
10 |
15 |
20 |
25 |
30 |
|
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
1 |
0.5105 |
1.0210 |
1.5315 |
2.0420 |
2.5525 |
3.0630 |
|
2 |
0.5105 |
1.0210 |
1.5315 |
2.0420 |
2.5525 |
3.0630 |
|
3 |
0.5105 |
1.0210 |
1.5315 |
2.0420 |
2.5525 |
3.0630 |
|
4 |
0.5105 |
1.0210 |
1.5315 |
2.0420 |
2.5525 |
3.0630 |
|
5 |
0.5105 |
1.0210 |
1.5315 |
2.0420 |
2.5525 |
3.0630 |
|
6 |
0.5105 |
1.0210 |
1.5315 |
2.0420 |
2.5525 |
3.0630 |
|
9 |
1.5315 |
3.0630 |
4.5945 |
6.1260 |
7.6575 |
9.1890 |
|
12 |
1.5315 |
3.0630 |
4.5945 |
6.1260 |
7.6575 |
9.1890 |
|
15 |
1.5315 |
3.0630 |
4.5945 |
6.1260 |
7.6575 |
9.1890 |
|
18 |
1.5315 |
3.0630 |
4.5945 |
6.1260 |
7.6575 |
9.1890 |
|
24 |
3.0630 |
6.1260 |
9.1890 |
12.2520 |
15.3150 |
18.3780 |
From
the results it is observed that, the cumulative percentage of drug release
(CPDR) profile of test and their corresponding AUC values in the initial stage
(up to 6 hrs) are slightly higher than ideal 24 hr Higuchi model drug release
profile. So, negative absolute difference of AUCs (AADA ) is observed (but the
Table 4 shows only positive values). After 6 hrs, positive absolute difference
of AUCs (α) is observed, in
which the cumulative percentage of drug release (CPDR) profile of test is
slightly higher than ideal 24 hr Higuchi type drug release profile. The values
of slope and intercept obtained from the nonlinear equation of the ideal
Higuchi model found to be 21.067 and -18.835, respectively, whereas for test
formulation found to be 20.207 and -6.796, respectively. The percentage
deviation (α ) from ideal Higuchi
model is high (max. of 71.5 % at first hour) in the initial stage and then
decreased gradually (min. of 8.668 % at 24th hour). The higher
percentage deviation (α ) of
71.5 % for test formulation (MCS4) is observer which indicates larger deviation
of test formulation from ideal Higuchi release. In order to minimise the
deviation and to determine the exact mechanism, the total drug release data is
split in to two different portions (two-tiered approach) and drug release
mechanism for best fit is calculated and compared. Square of correlation
coefficient (R2), Sum of square residuals(SSR) and F-vales
(P<0.05) are calculated and the results including total drug release and two-tiered
drug release mechanism are represented in Table 6.
The
results from Table 6 reveals that, when considering the R2 values
for entire drug release, it follows Higuchi model apart from Hixson-Crowell
model. But, higher value of SSR for Higuchi model (755.186 for entire 24 hr)
indicates a very large difference between the observed and the predicted values
of the cumulative percentage of the drug released. When the drug release
mechanism is spitted into two portions from 0 to 6 hr and 7-24 hr, a refined
values of SSR are observed, that is, for first phase 27.215 and for second
phase 15.479. Finally the total SSR value is reduced to 42.694 (27.215+15.479) when
a two-tiered method is used. When considering the R2 for two-tiered
method, the release mechanism is changed to Hixson-Crowell model (0.9975) than
Higuchi model (0.9435)for first phase, whereas at second phase the release
mechanism is same as Higuchi model (0.9928, nearer to 1) than Hixson-Crowell
model (0.9369). The same phenomena is observed for F-values. The release rate
constants for entire drug release and spited phases are calculated from the
slope of the Higuchi model and
Hixson-Crowell model represented in Table 6. It is a crucial point for the
practical importance of a drug release from the device and to consider these
aspects to predict precisely the resulting drug release rates from ideal
systems. This method is the best combination of accuracy and ease of
interpretation to calculate percent deviation from an ideal release.
Table 5: Percentage deviation for the test product from an
ideal 24 hr zero order drug release (CPDR is cumulative percentage of drug
release)
|
Time (hr) |
√Time |
Ideal
zero order |
Test
product |
Absolute
difference of
AUCs |
%
deviation from
zero-order (α) |
||
|
CPDR |
AUC |
CPDR |
AUC |
||||
|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
|
1 |
1.000 |
4.167 |
10.206 |
5.812 |
2.906 |
7.300 |
71.500 |
|
2 |
1.414 |
8.334 |
10.206 |
9.718 |
3.216 |
6.990 |
68.461 |
|
3 |
1.732 |
12.501 |
10.206 |
13.628 |
3.710 |
6.496 |
63.625 |
|
4 |
2.000 |
16.668 |
10.206 |
17.721 |
4.200 |
6.006 |
58.827 |
|
5 |
2.236 |
20.835 |
10.206 |
21.612 |
4.643 |
5.564 |
54.491 |
|
6 |
2.449 |
25.002 |
10.206 |
25.426 |
5.019 |
5.187 |
50.801 |
|
9 |
3.000 |
37.503 |
30.619 |
36.817 |
17.133 |
13.486 |
44.028 |
|
12 |
3.464 |
50.004 |
30.619 |
49.621 |
20.058 |
10.561 |
34.478 |
|
15 |
3.873 |
62.505 |
30.619 |
60.147 |
22.441 |
8.178 |
26.698 |
|
18 |
4.243 |
75.006 |
30.619 |
73.158 |
24.639 |
5.980 |
19.523 |
|
24 |
4.899 |
100.008 |
61.237 |
97.264 |
55.927 |
5.310 |
8.668 |
Table 6: Model fitting of test
formulation with two-tiered approach
|
Release
model |
Time(hr) |
R2 |
SSR |
F |
Slope |
Intercept |
|
Higuchi model |
0-24 |
0.9238 |
755.186 |
75.519 |
20.072 |
-16.797 |
|
0-6 |
0.9435 |
27.215 |
5.443 |
10.352 |
-2.602 |
|
|
7-24 |
0.9928 |
15.479 |
5.159 |
31.754 |
-60.304 |
|
|
Hixson- Crowell model |
0-24 |
0.9159 |
0.036 |
0.004 |
-0.0253 |
1.042 |
|
0-6 |
0.9975 |
1.549 |
3.099 |
-0.0151 |
0.997 |
|
|
7-24 |
0.9369 |
0.0122 |
0.0041 |
-0.0369 |
1.243 |
CONCLUSION:
The present study is used to develop Nicorandil floating tablets using combination of
hydrophilic and hydrophobic polymers. In
vitro drug release is calculated for all the formulations and the best
formulation (MCS4) is selected which contain the identical drug as that of
theoretical profile. The drug release mechanism from the best formulation is
confirmed as Higuchi model (drug release by diffusion) rather than
Hixson-Crowell model (drug release by dissolution). A quantitative mathematical
model is developed for expression of the deviation from Higuchi model, which
results the greater deviation from ideal release along with higher value of
SSR. Two-tiered method is used to decrease the difference between observed and
predicted value. Finally it can be concluded that, the SSR value is reduced by
the application of two-tiered method and also confirmed that the first phase
follows Hixson-Crowell model up to 6 hr and then confirmed to follow Higuchi
model for drug release from tablets.
ACKNOWLEDGMENTS:
The
authors wish to thank Torrent Pharmaceuticals (P) Ltd., Gujarat (India), for
the supply of Nicorandil as gift sample. The authors
also like to thank management of SSPC, for providing facilities used in the
research.
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Received
on 25.07.2016 Accepted on
29.10.2016
©
Asian Pharma Press All Right Reserved
Asian
J. Pharm. Tech. 2016; 6(4): 249-256.
DOI: 10.5958/2231-5713.2016.00036.2