Results Vibrating Spatula Preliminary results with the vibrating spatula were encouraging, as slopes of mass
accumulated vs time curves were significantly different for the initial excipients
studied (Figure 3).
However, as bulk flow properties became more similar, a
comparison of slope values was inadequate to differentiate flow profiles, so an
enhanced data collection system capable of acquiring data at 150 millisecond
intervals was utilized. This higher resolution introduced irregularities in the
mass accumulated vs time plots including multiple regions of linearity (Figure 4).
Efforts to standardize choice of linear regions and use
of correlation coefficients of data points along the chosen linear portion of
the mass accumulated vs time plots still failed to provide a discriminating
method of analysis as all values > 0.999 (data not shown). Hickey and
Concessio have demonstrated that it is possible to describe and characterize
these flow irregularities from a vibrating spatula using fractal dimensions.5 Although this method
could be used to quantify the uniformity of flow, it was not pursued further as
it would involve a time-consuming and tedious analysis not suitable for a simple
bench-top test. Reproducibility of Individual Flow Tests Measurements on 5 sets of Supertab, Avicel PH102, and
Ceolus samples were recorded in order to study the reproducibility of the 3 flow
tests. The estimated standard deviation of the experimental error associated
with percent compressibility was 0.53 SD, 0.62 SD for critical orifice, and 1.1
SD for angle of repose measurements This suggests that percent compressibility
and critical orifice tests are somewhat more reproducible than angle of repose. Composite Index On completion of the individual flow tests, a weighted
composite index was generated to designate a single score for each material. As
the relative contribution of each individual test to the "true" composite score
was unknown, a decision was made to assign an arbitrary value of one third to
each of the 3 methods and test the performance of the model against materials
with "known" flow properties. Therefore, this empirical composite index was
devised to yield a score of 100 for an optimum result for each of the 3 flow
methods and each test result was transformed to a value between 0 and 33 1/3.
These transformed values are summed to yield the composite flowability index.
The raw data transformations are as follows: Critical Orifice: Point Value = -1 1/9 * result + 37 7/9 % Compressibility: Point Value = -2/3 * % compressibility result + 36 2/3 Angle of Repose: Point Value = -2/3 * angle of repose result + 50 The blends and excipients were subdivided into 3 basic flow categories based on their respective composite flowability index scores. Tables 5, 6, and 7 show good, average, and poor flow materials, respectively.
1SuperTab®- Lactose Monohydrate USP, Spray Dried.2Spress® - Pre-gelatinized Corn Starch NF.3Proprietary formulation blend containing actives GR109714X, GR63367X, 1592U89.
1Proprietary formulation blend containing actives GR109714X, GR63367X, 1592U89.
1Proprietary formulation blend containing actives GR109714X, GR63367X, 1592U89.2Ceolus – Microcrystalline Cellulose, NF, KG-801. Formulation Blends Materials that exhibited good flow characteristics
(Table 4) provide a representative example of the full scope of individual and
composite method performances. A comparison of 2 tablet formulations that differ
only in the level of glidant would predict that the formulation with higher
glidant quantities would demonstrate better flow properties. Cmpd F-Blend 11
(0.3%-Table 4) does perform better than Cmpd F- Blend 9 when measured by
critical orifice (13 vs 18), angle of repose (35° vs 41°), but the percent compressibility results (22.3 vs
23.8) are comparable. The composite index results for these compounds show a
much greater resolution (71.8 vs 61.2). Considerable differences in flow
properties would be anticipated with a 5-fold difference in glidant levels with
Cmpd F- Blend 12 (0.5%) and Cmpd F- Blend 10 (0.1%) and these are confirmed by
critical orifice (13 vs20) and % compressibility (19.9 vs 23.7) methods.
However, the angle of repose (39 vs 42) may be too close given the larger random
variability associated with results based on this method. The composite index results do reflect the considerable
difference in flow properties (70.7 vs 58.4). This pattern is repeated with
another comparison of materials with a 5-fold glidant level difference: Cmpd
F-Blend 8 (0.5%) and Cmpd F-Blend 6 (0.1%). Here, the percent compressibility
(20.5 vs 23.4) and angle of repose (34 vs 40) results show some difference but
the critical orifice results are identical (15.5). The best resolution is
offered by the composite index (70. 9 vs 64.9). Lactose Another ranking type comparison was made with different forms of lactose used in
pharmaceutical formulations. Spray dried (SuperTab® FMC Corp,
2000 Market St, Philadelphia, PA. 19103), modified spray dried
(Fast-Flow® Form 316, Fast-Flo-Foremost McKesson Foods Group,
Crocker Plaza, One Post St. San Francisco, CA 94101), and anhydrous lactose were tested
with expectations that flow properties would decrease in that order, respectively. The
reasoning was that the SuperTab® material showed a higher
distribution of larger particles and a narrower distribution than the
Fast-Flow® material. Also, material manufacturers had conducted
tabletting studies with these materials and the SuperTab®
material demonstrated superior flow properties as measured by tablet weight coefficient
of variations. Finally, both sphere-shaped spray-dried materials would flow better than
the anhydrous lactose. Critical orifice and angle of repose measurements predicted flow
as expected (Table 3) but percent compressibility results (17.7 vs 9.2 vs 27) suggest that
the Fast-Flow® material flows better than the
SuperTab® lactose. This is not surprising.
The SuperTab® lactose manufacturer has engineered the material
such that the interaction of amorphous lactose
covering the surface of each lactose crystal acts as a binder increasing the bond strength
between crystal surfaces during compaction, resulting in higher percent compressability
results. Again, the ranking suggested by the composite index (93.3 vs 88.8 vs 47.8) was
consistent with theory. Microcrystalline Cellulose The major difference between the 3 microcrystalline
cellulose excipients (Avicel® PH101, PH102, and PH200) was
the mean particle size (Table 2). A comparison of microcrystalline cellulose materials’
nominal mean particle sizes (see Table 2) would suggest that the rank order of flow
properties would be Avicel PH200>Avicel PH 102>Avicel PH 101. Although all methods
predict flow as expected with critical orifice and percent compressibility test results
demonstrating good resolution, the relative difference in angle of repose
results (34° vs 36° vs
38°) is not as discriminating as one might predict
based on the large differences in the mean particle sizes of the materials. Principal Components Analysis As mentioned earlier, the weighting scheme for the
generation of the empirical composite flow index was chosen arbitrarily. The
validity of this composite index was assessed by comparison to an index provided
by principal components analysis. The first
Principal Components scores (PC) based on different measures were used as
indexes of flowability. x1 = critical orifice diameter x2 = % compressibility x3 = angle of repose Since different flow characteristics are measured on
different scales (in different units), the data values for each flow property
were transformed to have a mean of 0 and a standard deviation of 1. The first
principal component accounted for 72.8% of the variation in the data.
The coefficient of the critical orifice index term is
higher than the coefficient of the other terms, (ie, the critical orifice term
contributes most to the principal component scores). Avalanching Methods A comparison of avalanching flow determination results
and principal components showed very little agreement in the ranking of flow
materials. Twenty of the compounds were ranked according to flowability based on
average time between avalanches and principal component scores with 1 the best
and 20 the worst (Table 8).
1 Formulation blend containing actives GR109714X, GR63367X, 1592U89.2Avalanche method determinant used here is time between avalanches. The avalanching method ranked the microcrystalline
cellulose materials different from all of the other methods, including the
composite index. Perhaps the most significant difference was the poor flow
ranking the method assigned to Super Tab ®, which
all other methods ranked as one of the best
flow materials tested. A comparison of the avalanching method results and
principal components results shows no correlation (Figure 5, R2 = 0.342).
These results would confirm visual observations made
during test runs. As the powder drum rotated, the powder bed would often shift
or cascade en mass as it climbed the drum outer wall. This event was not a true
avalanche but would have been interpreted as such by the instrument. Crowder et al have evaluated the avalanching method of
flow characterization and suggest that the data may best be analyzed by a
different approach than the time between avalanches.10 These investigators propose
that the variability in the size of powder avalanches represents a more
discriminating method of determining flow properties of similar materials and
the avalanche size standard deviation provides a quantitatve measure of the
uniformity of flow. The 41 powders tested have been sorted by flow
properties (best to worst) as judged by principal component scores (Tables 5, 6,
7). Although the order suggested by composite index score reveals some minor
differences, the two methods show good agreement. This observation is confirmed
by a statistical comparison of the two indexes, which reveals an excellent
correlation (Figure 6; R2 = 0.993).
Principal component scores were also compared with
individual method results to determine if any single test might predict flow
properties better than others. A comparison of percent compressibility (Figure 7; R2 = 0.617) and angle of repose (Figure 8; R2 = 0.679) to principal component scores show a poor correlation.
Alternatively, critical orifice results (Figure 9; R2 = 0.887) demonstrate a
higher correlation and may indicate that this method may be the best single flow
indicator of the individual tests studied.
Principal component analysis also corroborates the
higher critical orifice coefficient term in the principal component score
equation (Equation 2). These findings would confirm that the empirical composite
flow index, composed of test methods with equal weights, provides a better
prediction of flow properties than any single test alone. Further, the weighting
assigned to test methods by the principal components analysis may represent an
even more accurate composite index and a reasonable approach to the
quantification of powder flow. In general, for most of the methods, results for the 41
powders tested were consistent with formulator experience. However, each of the
individual tests failed at some point to measure and rank the flow properties of
the powders in accordance with theory or cited vendor references. Also, some of
the methods could not detect small differences in flow between similar
materials. This can be partially explained by variations in the mechanics of
performing the flow tests or the interpretation of results. For example, the
angle of repose can vary depending on the method used to form the cone and
nature of the base of powder. Distortions in the peak of the cone are affected
by the impact of the powder added. Also, the base of the powder can affect the
angle of repose by altering the cone formation. Although the compressibility
index measurement is rather straightforward, several factors can influence final
results, including the diameter of the cylinder used, mass of material tested,
and rotation of the sample during the tap test. Flow through an orifice is also
dependent on several variables in the test methodology. Type of container
material, diameter and height of powder bed, as well as the diameter and shape
of the orifice are important considerations that may affect test results. Amidon
et al have recommended procedures for the measurement of flow properties with
these methods 11. The failure of individual tests to fully and accurately
characterize powder flow is not unexpected as each method challenges separate
components of flow. Carr proposed that the angle of repose was a valid
characterization of flow because it provided an indirect measurement of the
shape, size, porosity, cohesion, fluidity, surface area, and bulk properties of
the material. He suggested that percent compressibility indicated the uniformity
in size and shape, deformability, surface area, cohesion, and moisture content
of the test materials.1 The critical orifice diameter is a direct measure of powder cohesion and
arch strength.12 Clearly, powder flow is a complex phenomenon, which cannot be fully
characterized by any single test methodology. 
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