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Article
Development and Characterization of New Miconazole-Based
Microemulsions for Buccal Delivery by Implementing a Full
Factorial Design Modeling
Marina-Theodora Talianu 1 , Cristina-Elena Dinu-Pîrvu 1,2 , Mihaela Violeta Ghica 1,2, * , Valentina Anuţa 1,2 ,
Răzvan Mihai Prisada 1 and Lăcrămioara Popa 1,2
1 Department of Physical and Colloidal Chemistry, Faculty of Pharmacy, “Carol Davila” University of Medicine
and Pharmacy, 6 Traian Vuia Str., 020956 Bucharest, Romania;
marina-theodora.talianu@drd.umfcd.ro (M.-T.T.); cristina.dinu@umfcd.ro (C.-E.D.-P.);
valentina.anuta@umfcd.ro (V.A.); razvan.prisada@umfcd.ro (R.M.P.); lacramioara.popa@umfcd.ro (L.P.)
2 Innovative Therapeutic Structures R&D Center (InnoTher), “Carol Davila” University of Medicine and
Pharmacy, 6 Traian Vuia Str., 020956 Bucharest, Romania
* Correspondence: mihaela.ghica@umfcd.ro; Tel.: +40-74-448-6250
Abstract: This research aimed to develop miconazole-based microemulsions using oleic acid as a
natural lipophilic phase and a stabilizer mixture comprising Tween 20 and PEG 400 to solubilize
miconazole as an antifungal agent known for its activity in oral candidiasis and to improve its
bioavailability. The formulation and preparation process was combined with a mathematical ap-
proach using a 23 -full factorial plan. Fluid and gel-like microemulsions were obtained and analyzed
considering pH, conductivity, and refractive index, followed by extensive analyses focused on droplet
size, zeta potential, rheological behavior, and goniometry. In vitro release tests were performed to
assess their biopharmaceutical characteristics. Independent variables coded X1 -Oleic acid (%, w/w),
X2 -Tween 20 (%, w/w), and X3 -PEG 400 (%, w/w) were analyzed in relationship with three main
Citation: Talianu, M.-T.; Dinu-Pîrvu, outputs like mean droplet size, work of adhesion, and diffusion coefficient by combining statistical
C.-E.; Ghica, M.V.; Anuţa, V.; Prisada, tools with response surface methodology. The microemulsion containing miconazole base–2%, oleic
R.M.; Popa, L. Development and acid–5%, Tween 20–40%, PEG 400–20%, and water–33% exhibited a mean droplet size of 119.6 nm,
Characterization of New a work of adhesion of 71.98 mN/m, a diffusion coefficient of 2.11·10−5 cm2 /s, and together with
Miconazole-Based Microemulsions for remarked attributes of two gel-like systems formulated with higher oil concentrations, modeled the
Buccal Delivery by Implementing a
final optimization step of microemulsions as potential systems for buccal delivery.
Full Factorial Design Modeling.
Pharmaceutics 2024, 16, 271.
Keywords: miconazole base; solubilization; UV-spectroscopy; phase diagrams; stabilizers;
https://doi.org/10.3390/
microemulsions; in vitro drug release; factorial design; critical quality attributes
pharmaceutics16020271
Over time, it was proven a safe handle and incorporation of active pharmaceutical
ingredients (API) for the treatment of oral candidiasis in various buccal dosage forms like
suspensions [15], medical mouthwashes [16,17], gels and in situ forming gels [18,19], var-
nishes and troches [20], mucoadhesive tablets [21], and versatile hydrogels and polymeric
films [22–24]. Furthermore, novel nanotherapeutic systems proposed progress in increasing
API bioavailability and therapeutic efficacy [25]. Vesicular systems [26], nanoparticles [27],
and micro-/nanoemulsified systems [28–30] are remarked as the main advances meant to
improve the solubility and retention of the antifungals in oral mucosa [6].
Miconazole, an azole-based model drug with clinical efficacy in the treatment of
oral candidiasis, acts by inhibition of 14-α-demethylase (CYP51) implied in the ergosterol
biosynthesis and alter the integrity of the fungi cell membrane [31]. Additional positive
effects repurpose miconazole as an anti-inflammatory agent in skin disorders [32] and a
promising cytotoxic via molecular antitumor pathways in particular forms of cancer [33,34].
Miconazole, belonging to the BCS II class, underwent extensive research to improve sol-
ubility and sustain an efficient release, thereby enhancing therapeutic efficacy [35,36]. To
this debate, Table 1 briefly presents a concise overview of the development of miconazole-
based systems designed to improve mucoadhesion and achieve a controlled release. In
the most recent findings, polymeric materials can provide excellent support for nanosized-
based system inclusion, as seen in the case of nanogels [37,38] and hydrogels loaded with
nanoemulsifyable systems [39].
Hosny K. M. et al. defined complex polymeric structures for delivering miconazole
with the aid of nanoemulsions, which can be generated in situ after inclusion in a polymeric
base [39]. Nanoemulsions are nanocolloids known to provide good solubilization ability
for APIs but they are characterized as thermodynamically unstable systems, with drop
diameters ranging up to 500 nm [40,41]. The use of small amounts of surfactants (<10%)
interferes with the stabilization process and affects the systems’ thermodynamic properties.
High-energy methods and a meticulous selection of the cosolvents are required to obtain
stable formulations with low droplet size [42].
Microemulsions are versatile nanocolloidal carriers able to sustain drug solubilization
and release at the level of buccal mucosa, as it was reported for several natural and
synthetic antifungal agents like clove oil in the form of spray-able liquid formulations [28],
clotrimazole [43], and itraconazole [30], designed as mucoadhesive structures.
The formation of thermodynamically stable and isotropic systems with droplets with
small diameters up to 100–200 nm by the use of optimized levels of surfactants and
cosurfactants is considered affordable in designing new platforms for buccal delivery as it
was demonstrated for actives from different pharmacological groups like carvedilol [44],
prednisolone [45], or triamcinolone acetonide [46]. The common achievements followed in
designing microemulsions for buccal delivery are based on improved solubilization and
drug release by delivering the medicine in a nano-sized form.
Recent studies revealed new insights into designing polymer-free microemulsions
at particular concentration domains of oil, surfactant, cosurfactant, and water [47]. The
concept was well researched for itraconazole being included in self-microemulsifying
systems made of polyoxyl 35-castor oils, a mixture of triglycerides, and water. The gel-like
microemulsions assured a sustained release of the drug in 360 min [48]. The formation of
gel-like structures was observed by building phase diagrams and explained by the oil–oil
droplet interactions. Moreover, the ability of surfactants to create lamellar structures was
linked to the powerful hydration effects established between hydrophilic chains, observed
in the case of some microemulsions with monolaurin [49] and gel-like microemulsions
for topical delivery of vitamins C and E [47].To understand how the formulation factors
impact the critical quality attributes of the microemulsions, a full factorial design can be
used to initially screen and process the main effects but also the interactions between
input factors [50–53], creating a promising approach in combining concepts in colloid
formulation with mathematical analysis to characterize new architectures with improved
therapeutic action.
Pharmaceutics 2024, 16, 271 3 of 38
Table 1. Timeline evolution in developing essential miconazole-based formulations designed for buccal application in oral candidiasis.
1 Patches had more accurate dosing than the gel form, and the
SCMC, Chitosan, 2 PVA, 3 HEC, 4 HPMC ± 5
2003 Mucoadhesive buccal patches 2% formulation based on PVA 10% and PVP 5% had the best 6 MIC [55]
PVP (0–5%)
release.
Buccal mucoadhesive films
HPMC increased adhesion and improved the mechanical
2017 based on polyelectrolyte 2% Chitosan combined with pectin or HPMC [56]
properties of the chitosan-based films. Improved drug release.
complexes
Buccal mucoadhesive films Chitosan + Carbopol, Arabic gum, gelatin, or
Chitosan increases antifungal activity of miconazole. Gelatin and
2017 based on polyelectrolyte 2% alginate; 7 PEG 400 (30%) used as solubilizer [57]
Carbopol were appropriate polymers to form chitosan films.
complexes and plasticizer
Phospholipon 90 H, Polysorbate 80, beeswax, Nanogels with SLN improved the antifungal activity of MIC
2017 Mucoadhesive lipid nanogels 0.25–1% [37]
Polycarbophil, sorbitol compared to commercial gel.
Composite The combination of chitosan-gelatin protects MIC and determines
2018 200 mg Chitosan, gelatin and HPMC [35]
microparticle-based discs a controlled release. Therapeutic activity can be better improved.
λ-carrageenan (λ-c) was suitable combined with chitosan. The
Chitosan and three types of carrageenan (κ, λ, ι),
2018 Buccal films 8% orientation of sulfate groups in λ-c influenced the interactions with [23]
and PEG 400 as a solubilizer and plasticizer
chitosan, but also those with mucin and salivary medium.
To the best of our knowledge, no literature reports are available to consider the for-
mulation of microemulsions with miconazole for buccal applications. Thus, the objectives
of the study relied on the development of miconazole-based microemulsions using two
levels, three factors full factorial design. The analyses performed in this study focused on
increasing miconazole solubility using microemulsions. The systems were preliminarily
characterized by considering the analysis of pH, conductivity, and refractive index. In a
further stage, the study of droplet size distribution, zeta potential, rheological behavior,
superficial properties, and drug kinetic release aimed to explain the internal behavior
of microemulsions and their biopharmaceutical performance as potential drug delivery
systems. To succeed in the mathematical modeling, three critical quality attributes (CQA,
as defined in the Quality by Design QbD approach) (drop diameter, work of adhesion,
and diffusion coefficient) were studied by applying response surface methodology. The
mathematical analysis was valuable in optimizing a model system that can be tailored in
further studies as a biocompatible topical system with mucoadhesive properties.
2.4. Preparation of the O/W Miconazole-Based Microemulsions Using a 23 Full Factorial Plan
The microemulsions with miconazole were obtained under formulation data process-
ing using Design Expert statistical software, version 13. The chosen model to acquire
potential microemulsions was a two-level, three-factor full factorial design augmented with
two lack of fit points. Firstly, miconazole was accurately weighed at the analytical balance
and solubilized in a calculated amount of oleic acid. The lipophilic mixture was placed on
a thermostated stirrer (DLAB MS-H380Pro, DLAB Scientific, Beijing, China) for 10 min to
attain a clear oily phase. Tween 20 was further weighed, mixed with the lipophilic phase,
and subjected to stirring for another 10 min. PEG 400 was weighed and added in the next
step to obtain a homogeneous and clear composition. A water titration method with dis-
tilled water was applied, and ten microemulsions with various aspects were obtained and
placed in equilibration at room temperature. Various structures of microemulsions resulted,
from fluid-type to gel-like microemulsions. The fluid microemulsions were prepared using
magnetic stirring. For the last case, the homogenization of the samples was assured by
trituration during the water titration procedure.
The compositions attributed to the microemulsions designed through mathematical
modeling were coded as ME 1-ME 10 and are presented in Table 2. Final compositions of
20 g (%, w/w) were generated based on the presence of three formulation factors noted X1 ,
X2 , and X3 .
Table 2. Composition of the microemulsions obtained using an augmented 23 full factorial plan.
Figure 1 presents the main steps involved in the preparation process of the fluid and
gel-like microemulsions.
Pharmaceutics 2024, 16, x FOR PEER REVIEW 6 of 4
Pharmaceutics 2024, 16, 271 Figure 1 presents the main steps involved in the preparation process of 6the
of 38fluid and
gel-like microemulsions.
Figure1.1.Essential
Figure steps
Essential followed
steps in theinpreparation
followed process process
the preparation of the microemulsions with miconazole,
of the microemulsions with micona
zole, consisting
consisting in 1—
in 1— drug drug solubilization
solubilization in the 2—addition
in the oil phase, oil phase, 2—addition of the3—lipophilic
of the stabilizers, stabilizers, 3—lipo
philic mixture
mixture solubilization
solubilization with thephase
with the stabilizer stabilizer
underphase understirring,
continuous continuous stirring, 4—application
4—application of water o
water titration
titration under resulting
under stirring stirring resulting
in two typesin two types of5systems:
of systems: (a)—fluid5 microemulsions,
(a)—fluid microemulsions,
and 5 (b) and 5
(b) —gel-like
—gel-like microemulsions,
microemulsions, previously
previously trituratedtriturated to uniformize
to uniformize their consistency.
their consistency.
To better explain the drop dynamics at the level of a surface, the Young–Dupré equation
was further followed to calculate the work of adhesion (Wa ) and work of cohesion (Wc ) [63].
In a deeper understanding, the spreadability coefficient (Ws ) was linked to the parameters
mentioned above, according to the Harkins theory of spreading [67]. The equations used in
the analysis for the last three parameters are shown below (Equations (4)–(6)):
Wc = 2γLG , (5)
S = γLG (cos θ − 1), (6)
where Wa represents the work of adhesion calculated using the Dupré equation; Wc —the
work of cohesion; S—the work of spreading or spreading coefficient, which derives from
Harkins’ theory of spreading; γLG —the superficial tension to L/G interface; and θ—the
contact angle determined previously by applying the contact angle model.
q2 π
Dm = (7)
4 C20 t
where Dm represents the diffusion coefficient of MCZ in the release medium, q—the
amount of MCZ released on the surface unit, C0 —the initial MCZ concentration in the
microemulsion, and t—the release time.
2.14. Data Analysis and Screening of the Miconazole Microemulsions Using 23 Full
Factorial Design
The screening process of the microemulsions was designed using a regular two-level
full factorial design with two levels of variation and three factors (23 ). The model was
generated using Design-Expert software, version 13 (Stat-Ease, Inc. Minneapolis, MN,
USA) [62] and was projected as a 23 factorial plan with eight experiments, augmented with
a supplementary block of experiments, specifically two lack-of-fit points. In this sense, three
independent variables were selected to design microemulsions at two levels of variation,
coded as low (−1) and high (+1): X1 : Oleic acid (%), X2 : Tween 20 (%), X3 : PEG 400 (%).
The augmentation proposed the introduction of intermediary lack of fit points. Thus, the
Pharmaceutics 2024, 16, 271 9 of 38
Table 3. Solubility values for eight excipients obtained through the spectrophotometric technique.
Among the potential two oils selected, the highest solubility was obtained for oleic
acid (110 ± 5 mg/mL). The stabilizer component with good solubilization properties
was composed of Tween 20 (236 ± 11 mg/mL) and PEG 400 (209 ± 13 mg/mL), which
contributed to the formation of microemulsions.
The use of oleic acid in pharmaceutical systems is not limited just to its role as a
lipophilic phase [73]. Oleic acid is an unsaturated fatty acid known to increase drug local-
ization into tissues, being a potent penetration and permeation enhancer for even big and
small molecules, in combination with various molecules like PEG 200, PEG 400, or poloxam-
ers [74]. In the study of Yang T-L. et al., oleic acid was used to obtain self-microemulsifying
systems with clotrimazole. Oleic acid synergistically enhanced the antifungal activity
of clotrimazole through particular mechanisms acting against filamentation and biofilm
formation [75].
From the group of surfactants, Tween 20 exhibited the highest solubilization ability
for miconazole. PEG 400 was selected as a suitable cosurfactant generally recognized as
a solubilizer, humectant, and plasticizer in various pharmaceutical formulations. Several
contributions proposed the inclusion of PEG 400 in some model nanocolloidal systems
for drug solubilization. PEG 400 1–2.5% was included in the form of gel-based nanoemul-
sions containing 6-gingerol 10%, oleic acid 1–5%, Tween 20 4–10%, and water 82.5–94%,
for wound treatment [76]. PEG 400 6.5–10% was selected in formulations designed for
intranasal delivery to increase the rate of survival in glioblastoma treatment [77], while
concentrations of 15–21% were selected for designing microemulsions for the oral delivery
of carvedilol as suitable solubilizer that acts synergistically with peppermint oil 10% and
Pharmaceutics 2024, 16, 271 10 of 38
Tween 80 15–21% [78]. Amounts of 6–9% PEG 400 were tested for antifungal buccal sprays,
emphasizing the importance of the stabilizers for microemulsion development [28].
Table 5. Experimental matrix equivalent to a 23 + 2 full factorial model for microemulsion design.
Pharmaceutics2024,
2024,16,
16,271
x FOR PEER REVIEW X1 X2 X3 11
Pharmaceutics 11 of 40
of 38
Std. Block Run Oleic Acid Tween 20 PEG 400
(%) (%) (%)
1 1 1 −1 −1 −1
3 1 2 −1 +1 −1
5 1 3 −1 −1 +1
7 1 4 −1 +1 −1
2 1 5 +1 −1 −1
4 1 6 +1 +1 −1
6 1 7 +1 −1 +1
8 1 8 +1 +1 +1
9 2 9 0.625 0 −1
10 2 10 0.875 −1 0
One day after preparation, microemulsions were visually inspected. The aspect,
color, and odor were dependent upon composition. The concentration of Tween 20 influ-
enced the aspect, determining the clarity or the opalescent appearance, as can be seen in
Figure 3. The systems were predominantly opalescent in the selected lower concentration
of Tween 20 30%. An increase of 10% of Tween 20 modified their clarity. ME 2, ME 4, ME
8, and ME 10 were the clearest systems formulated with a concentration of 40% Tween 20,
but also 30% in the case of ME 10. On the other side, an increase in concentration for PEG
400 from 10% to 20% improved the aspect, obtaining clear microemulsions only in the
presence of Tween 20 40%. Variation of the oil phase from 5% up to 10% influenced the
internal structure of the samples, resulting in four systems with gel-like appearance,
namely ME 5–ME 8. In the case of the systems from Block 2, ME 9 had a similar composi-
tion
Figurewith
Figure the fluid group
2.2.Pseudo-ternary
Pseudo-ternary ofdiagrams
phase
phase MES, while
diagrams for forME 10
coarse
coarse was representative
dispersions
dispersions of aa stabilizer
containing
containing lackmixture
a stabilizer of fitmixture
point
based
derived
based on from
(a) the
Tween gel-like
20/PEG group.
400 in aThe replication
ratio of 1:1, (b) (for
Tween the last
20/PEG two
400MES)
in a was
ratio
on (a) Tween 20/PEG 400 in a ratio of 1:1, (b) Tween 20/PEG 400 in a ratio of 2:1, (c) Tween 20/PEG automatically
of 2:1, (c) Tween
20/PEG
obtained,
400 400resulting
in a ratio in
ofa3:1,
ratio of(d)
in
and 3:1,where
and (d)
viscous where as
systems 1 represents
1 represents ME 7. ME
the area ofthe
1, area
ME of3, microemulsions
and ME
microemulsions 9 were
(in green (in
thegreen
color) only
and color)
sys-
2is the
and
tems 2is the area of nanoemulsions (in yellow color)
area ofthat encountered
nanoemulsions (ininstability
yellow color).phenomena during the study.
The full matrix describing the factorial model is presented in Table 5. It is composed
of the main block specific for 23 experiments and the second block with the augmented
points.
Table 5. Experimental matrix equivalent to a 23 + 2 full factorial model for microemulsion design.
X1 X2 X3
Std. Block Run Oleic Acid Tween 20 PEG 400
(%) (%) (%)
1 1 1 −1 −1 −1
3 1 2 −1 +1 −1
5 1 3 −1 −1 +1
7 1 4 −1 +1 −1
2 1 5 +1 −1 −1
4 1 6 +1 +1 −1
6 1 7 +1 −1 +1
8 1 8 +1 +1 +1
9 2 9 0.625 0 −1
10 2 10 0.875 −1 0
One day after preparation, microemulsions were visually inspected. The aspect, color,
and odor were dependent upon composition. The concentration of Tween 20 influenced
the aspect, determining the clarity or the opalescent appearance, as can be seen in Figure 3.
The systems were predominantly opalescent in the selected lower concentration of Tween
20 30%. An increase of 10% of Tween 20 modified their clarity. ME 2, ME 4, ME 8, and
ME 10 were the clearest systems formulated with a concentration of 40% Tween 20, but
also 30% in the case of ME 10. On the other side, an increase in concentration for PEG 400
from 10% to 20% improved the aspect, obtaining clear microemulsions only in the presence
of Tween 20 40%. Variation of the oil phase from 5% up to 10% influenced the internal
structure of the samples, resulting in four systems with gel-like appearance, namely ME
5–ME 8. In the case of the systems from Block 2, ME 9 had a similar composition with the
fluid group of MES, while ME 10 was representative of a lack of fit point derived from the
gel-like group. The replication (for the last two MES) was automatically obtained, resulting
in viscous systems as ME 7. ME 1, ME 3, and ME 9 were the only systems that encountered
instability phenomena during the study.
3.4. pH Determination
Over the pH analysis, it was observed that the values varied between 5.15 ± 0.02 and
5.80 ± 0.02, being influenced by composition. It can be stated that both the stabilizers and
the presence of oleic acid modulated pH variation. Tween 20 and PEG 400 were implied in
pH increasing, while the acidic group grafted in the structure of oleic acid determined a
decrease in pH, which can be seen in some pairs like ME 1 and ME 5, ME 2 and ME 6, and
ME 3 and ME 7. The maximum pH values were obtained for ME 4 and ME 8, characterized
by a maximum content of the stabilizers. The normal salivary pH varies between 6.2 and
7.6 [83], while in the pathological state, the pH of the oral cavity changes and tends to be
lowered (favorable for bacterial and fungi development) [84]. The pH of ME 4 and ME 8
were closer to 6 and may positively interfere with promoting an antifungal effect in the
affected oral mucosa. The results of pH obtained in triplicate for each microemulsion are
presented in Table 6.
Pharmaceutics 2024, 16, 271 13 of 38
Figure
Figure 4.
4.Plots
Plotsofofshear
shearstress
stress(Pa)
(Pa)asasa afunction
functionofofshear
shearrate
rate(s(s−
−1) following specific
1 ) following specificrheological
rheologicalmod-
els: linear
models: profiles
linear for for
profiles MEME 2–ME
2–ME 4 systems
4 systemsdescribed
described by theNewton’s
by the Newton’smodel,model,andand
MEME 9 described
9 described
by
by Bingham model—case(a);
Bingham model—case (a);flow
flowcurves
curves fitted
fitted byby
thethe Ostwald–de
Ostwald–de WaeleWaele model
model for1ME
for ME and1ME
and8 ME
8systems,
systems, and Herschel–Bulkley model specific for ME 5–ME 7 and ME 10 gel-like
and Herschel–Bulkley model specific for ME 5–ME 7 and ME 10 gel-like systems—cases (b,c).
systems—cases
(b,c).
Table 7. Rheological descriptors describing flow behavior for the microemulsions tested at
At the increase in the oil phase from 5% to 10%, the microemulsions were character-
37 ± 0.5 ◦ C.
ized by various gel-like structures with shear-thinning behavior. In the case of ME 5, the
maximum
Code
consistency
Viscosity index was 30.89
(Pa·s)/Consistency IndexPa·s, obtained
1n 2 R at the minimum level of Tween 20
Rheological Model
and PEG 400, which signifies (Pa·sn ) the establishment of strong interactions between compo-
nents.
ME 1The Herschel–Bulkley 1.001 model assumed 0.49 in this0.9974
case a flowOstwald–de
profile starting
Waele from τ0 of
ME 2 0.346 1.0 0.9993
19.60 Pa. A similar behavior was seen for ME 10, where τ0 was equal to 28.17 Pa. When Newton
ME 3 0.192 1.0 0.9998 Newton
Tween
ME 4
20 increased to 40%, 0.304
the consistency coefficient
1.0
decreased atNewton
0.9997
21.81 Pa·sn for ME 6,
andMEit5continued to diminish 30.89 by 2.6 folds in the0.22 case 0.9956
of ME 7. MEHerschel–Bulkley
8 had a lower consistency
coefficient
ME 6 of 2.213 Pa·sn21.81at the maximum concentrations
0.22 0.9654 of Tween 20 andWaele
Ostwald–de PEG 400, these
ME 7
excipients being implied 8.390 0.50 0.9973
in fluidifying the microemulsions. Ostwald–de Waele
Considering the rheograms
ME 8 2.213 0.45 0.9993 Ostwald–de Waele
presented in Figure 4—cases (b) and (c), as the amount of the stabilizer increased, a tran-
ME 9 0.285 1.0 0.9994 Bingham
sition
ME from the Herschel–Bulkley model to the Ostwald–de Waele flow type was assessed.
20.85 0.30 0.9986 Herschel–Bulkley
10The rheological behavior in microemulsions is viewed in the literature in perfect har-
mony with the
1 n represents theflow
internal transitions,
index and which
2 R represents dependcoefficient.
the correlation on the water and oil content, triggering
significant changes in viscosity [91]. Secondly, the nature of the surfactants and cosurfac-
tants On modulates
the otherthe viscosity,
side, as was seenflow
the non-Newtonian in abehavior
previouswas report centered
specific for theon the effect of
microemul-
glycols
sions forinwhich
the microemulsion
viscosity variedformation [88].rate
with the shear It was stated that
at constant viscosity can
temperature. ME 9befollowed
influenced
by
an the
idealdrug solubilization
plastic flow described in by
thethe
oilBingham
phase. At lowerThe
model. oillinearity
concentrations, drug
is kept, but the molecules
regres-
sion straight line was designed with a start point from an initial
can be solubilized nearest the interface area, determining a lack of droplet yield stress (τ 0 ) of 3.207 Pa,
interactions
as presented
and reduced in Figure 4—case
availability (a). Bingham
to create model hydrogen
intermolecular was described bondsin [89].
a previous study by
Djekic,
WhenL. etthe
al. oil
forphase
some model microemulsions
is increased at 10%, thewithdrugibuprofen
molecules atare
particular composition
solubilized in a deeper
core, determining the creation of organized networks that modify the rheological proper-
ties of the systems. Suggestive findings describe the rheological properties of liquid
Pharmaceutics 2024, 16, 271 15 of 38
composition.
Figure 5. Distribution profiles obtained in the DLS study and represented as intensity (a.u.) as a
Figure 5. Distribution profiles obtained in the DLS study and represented as intensity (a.u.) as a
functionofofdiameter
diameter(nm)
(nm)for
forME
ME1,1,ME
ME3,3,ME
ME5,5,and
andME
ME7,7,evaluated 24±±0.5
evaluatedatat24 ◦ C.
0.5°C.
function
Figure 5. Distribution profiles obtained in the DLS study and represented as intensity (a.u.) as a
Pharmaceutics 2024, 16, 271 Figure 5.ofDistribution profiles obtained
function diameter (nm) for ME 1, ME 3,inME
the5,DLS
and study
ME 7, and represented
evaluated at 24 ± as
0.5intensity
°C. (a.u.) as38
17 of a
function of diameter (nm) for ME 1, ME 3, ME 5, and ME 7, evaluated at 24 ± 0.5 °C.
Figure
Figure 6.
6. Distribution
Distributionprofiles
profilesobtained
obtainedin inthe
theDLS
DLS study
study and
and represented
represented asas intensity
intensity (a.u.)
(a.u.) as
as aa
Figure 6.ofDistribution
function profilesME
obtained in the6,DLS study and represented as intensity (a.u.) as a
function ofdiameter
diameter (nm)
(nm) for
for ME 2,
2, ME
ME 4,
4, ME
ME 6, and
and ME
ME 8,
8, evaluated
evaluated at
at 24
24 ±±0.5
0.5°C.
◦ C.
function of diameter (nm) for ME 2, ME 4, ME 6, and ME 8, evaluated at 24 ± 0.5 °C.
Figure 7. Distribution profiles obtained in the DLS study and represented as intensity (a.u.) as a
Figure 7. Distribution profiles obtained in the DLS study and represented as intensity (a.u.) as a
function7.ofDistribution
Figure diameter (nm) for ME
profiles 9 and ME
obtained 10, evaluated
in the 24 ± 0.5 ◦ C.
atand
DLS studyat
function of diameter (nm) for ME 9 and ME 10, evaluated 24 ±represented
0.5 °C. as intensity (a.u.) as a
function of diameter (nm) for ME 9 and ME 10, evaluated at 24 ± 0.5 °C.
From a statistical point of view, it was observed that oleic acid and PEG 400 were
significant afactors
From statistical point
implied in of view,size
droplet it was observed
variation. thatsame
At the oleictime,
acid the
andsurfactant
PEG 400 hadwerea
From factors
significant a statistical point
implied in of view,size
droplet it was observed
variation. At that
the oleictime,
same acidtheand PEG 400had
surfactant were a
behavior less pronounced and partially understood (p < 0.05). By associating the Zaverage
significant
behavior factors
less implied
pronounced in
anddroplet size
partially variation.
understood At(p the
< same
0.05). time,
By the surfactant
associating the Zhad a
results with the microemulsion compositions, particular dynamics were observed in droplet average
behavior
results withless pronounced andcompositions,
partially understood (p dynamics
< 0.05). Bywere associating the Z average
behavior as the microemulsion
a function of the three particular
main formulation factors. As such, at observed
a constantinlevel
drop- of
results
let with
behavior the microemulsion compositions, particular dynamics were observed in drop-
oleic acid ofas a function
5%, of the threecan
some observations main beformulation
made in thefactors.
ME 1–ME As such, at a constant level
4 group:
letoleic
of behavior ofas 5%,
a function of the three main formulation factors. As such, at a constant level
• Anacid increase ofsome
Tweenobservations can be
20 content from made
30% in the
to 40% ME 1–ME
determined
of oleic acid of 5%, some observations can be made in the ME 1–ME 4 group:
a4 decrease
group: in Ds from
152.89 nm to 128.90 nm in the case of the ME 1–ME 2 pair and from 188.33 nm to
119.60 nm in the case of the ME 3–ME4 pair; an additive effect of PEG 400 was observed
in the ME 2–ME 4 pair where Ds decreased from 128.90 nm to 119.60 nm.
• At the minimum concentration of Tween 20 of 30%, the increase of PEG 400 determined
an increase in droplet size, as can be observed in the case of the ME 1–ME 3 pair, acting
oppositely as it was proposed in the mathematical modeling of the Ds response.
In the second group, the presence of oleic acid in the maximum concentration involved
an increase in droplet diameter, with a high impact on the broadening of the distribution
domain:
• An increase of Tween 20 from 30% to 40% determined an increase of Ds from 161.34 nm
to 202.29 nm in the case of ME 5–ME 6 pair, but also from 225.13 nm to 250.20 nm for
ME 7–ME 8 pair.
• When Tween 20 is maintained as constant, PEG 400 variation from 10% to 20% pro-
moted growth in droplet size, and it can be very well emphasized in the case of the
ME 5–ME 7 pair and ME 6–ME 8 pair, where the maximum droplet size of 250.20 nm
was attributed for ME 8.
Pharmaceutics 2024, 16, 271 18 of 38
needle tip was analyzed considering the pressure difference at the liquid/air interface, the
radii of curvature, and the surface tension opposing the gravitational force. Thus, the mean
values of ST varied between 17.97 ± 0.62–25.80 ± 0.03 mN/m. A slight reduction in γLG
was observed in the group of viscous ME 5–ME 8 microemulsions, and the minimum value
was obtained for ME 10.
1 4.96 ± 0.09 26.44 ± 0.21 5.04 ± 0.003 34.78 ± 0.525 52.14 ± 0.560 56.07 ± 0.72 69.56 ± 1.05 −13.49 ± 0.52
2 4.83 ± 0.04 25.49 ± 0.08 4.72 ± 0.003 40.85 ± 0.434 57.75 ± 0.596 62.91 ± 0.24 81.69 ± 0.86 −18.78 ± 0.77
3 4.73 ± 0.05 25.80 ± 0.03 4.85 ± 0.008 44.53 ± 1.058 48.00 ± 0.557 74.77 ± 2.23 89.05 ± 2.11 −44.52 ± 0.48
4 4.66 ± 0.03 25.38 ± 0.02 4.24 ± 0.004 35.99 ± 0.634 48.49 ± 0.438 60.56 ± 1.80 71.98 ± 1.26 −11.41 ± 1.21
5 3.51 ± 0.44 21.18 ± 0.60 3.62 ± 0.008 10.11 ± 0.095 51.10 ± 0.413 16.44 ± 0.14 20.22 ± 0.19 −3.78 ± 0.09
6 4.29 ± 0.59 23.06 ± 0.89 3.96 ± 0.003 8.05 ± 0.023 42.37 ± 0.012 13.99 ± 0.04 16.09 ± 0.04 −2.10 ± 0.007
7 3.63 ± 0.10 20.90 ± 0.49 4.25 ± 0.002 6.75 ± 0.050 47.75 ± 0.106 11.28 ± 0.08 13.50 ± 0.09 −2.21 ± 0.01
8 3.54 ± 0.23 19.08 ±0.69 4.10 ± 0.003 5.92 ± 0.036 37.03 ± 0.156 10.65 ±0.05 11.84 ± 0.07 −1.19 ± 0.02
9 5.42 ± 0.24 25.98 ± 0.49 5.27 ± 0.022 26.48 ± 1.790 53.72 ± 0.309 42.23 ± 2.96 52.95 ± 3.57 −10.72 ± 0.63
10 3.50 ± 0.32 17.97 ± 0.62 2.39 ± 0.001 5.65 ± 0.014 41.87 ± 0.057 9.84 ± 0.02 11.29 ± 0.03 −1.44 ± 0.01
In contrast, by applying the sessile drop method, the mean values for γLG depended on
composition. In this case, γLG is specific for drops displayed on a solid surface, with ST val-
ues placed between 5.65 ± 0.014–44.53 ± 1.058 mN/m, which assumed different behaviors
in matters of adhesion and spreading. The highest values between 26.48–44.53 mN/m were
obtained for microemulsions described by high contact angles of 48.00–57.75◦ (ME 1–ME 4,
and ME 9) where the superficial tension opposed to an increased wetting of the surface. A
high work of adhesion was calculated in this case and varied between 42.23–74.77 mN/m.
The work of cohesion attained maximum values of 52.95–89.05 mN/m, signifying strong
interactions between microemulsion molecules. The phenomenon was also defined by high
negative values of the spreading coefficient varying between −10.72 and – 44.52 mN/m.
Secondly, it was well observed that low values of γLG were obtained in the case of
gel-like ME 5–ME 8 and ME 10 microemulsions, with a significant variation between 5.65 ±
0.014–10.11 ± 0.095 mN/m. A substantial decrease in ST was strongly correlated to the high
oil content selected in the preparation process, which may highly impact the wettability
and spreading of the formulation at the surface of administration. In this group, the contact
angle values varied between 37.03–51.10◦ , with a wettability behavior influenced by the oil
phase and also through the fluidizer effect of PEG 400 that increased the hydrophilicity of
the samples. Accordingly, the work of adhesion quantified in values of 9.84–16.44 mN/m
sustained a low adhesive effect but also a decrease in cohesion forces from 20.22 mN/m to
11.29 mN/m, and an increase in the spreadability with low negative values, closer to zero,
from −3.78 mN/m to −1.19 mN/m, as it can be viewed in Table 9.
Table 9. Kinetic descriptors specific for the miconazole release from microemulsions following the
Higuchi model.
ME 1 2 3 4 5 6 7 8 9 10 Gel (R)
D·10−5 (cm2 /s) 2.569 2.22 1.85 2.11 0.252 0.516 0.265 1.00 1.27 0.343 0.0162
R 0.9904 0.9842 0.9630 0.9812 0.9858 0.9910 0.9959 0.9861 0.9935 0.9961 0.9758
D represents the diffusion coefficient and R represents the correlation coefficient.
In the study of Wang W. et al., microemulsions formulated with fatty acid methyl esters
were explored with attention to superficial properties. The dynamic contact angle was
useful to appreciate the spreading phenomenon of diluted microemulsions at the surface
level. Moreover, it was stated that the superficial tension of the dispersion decreased when
16.44 mN/m sustained a low adhesive effect but also a decrease in cohesion forces from
20.22 mN/m to 11.29 mN/m, and an increase in the spreadability with low negative values,
closer to zero, from −3.78 mN/m to −1.19 mN/m, as it can be viewed in Table 9.
In the study of Wang W. et al., microemulsions formulated with fatty acid methyl
Pharmaceutics 2024, 16, 271 esters were explored with attention to superficial properties. The dynamic contact angle 20 of 38
was useful to appreciate the spreading phenomenon of diluted microemulsions at the sur-
face level. Moreover, it was stated that the superficial tension of the dispersion decreased
when the microemulsions
the microemulsions werewere tested
tested as concentrated
as concentrated systems
systems [104],
[104], andand
thisthis
may may explain
explain the
the
behavior of the gel-like microemulsions. A decrease in surface tension is explained by by
behavior of the gel-like microemulsions. A decrease in surface tension is explained the
the activity
activity of surfactant
of surfactant andand cosurfactant
cosurfactant in in promoting
promoting negative
negative free
free energy
energy atatthethe oil/wa-
oil/water
ter interface
interface [105,106].
[105,106].
ItItcan
canbebeappreciated
appreciatedthatthatthe
themicroemulsion
microemulsionsamples
samplesexperienced
experiencedpartial
partialwetting,
wetting,
having
havingθθvalues
valuesunder
under90°,
90◦ ,and
andthe
themost
mosthydrophilic
hydrophilicmicroemulsion
microemulsionwas wasME ME88formulated
formulated
with
witholeic
oleicacid
acid10%,
10%,Tween
Tween20 2040%,
40%,andandPEG
PEG40040020%.
20%.TheThevariation
variationfor foreach
eachparameter
parameter
analyzed
analyzed through the sessile drop method can be observed in Figure 8 comparatively.The
through the sessile drop method can be observed in Figure 8 comparatively. The
ordinate
ordinateaxisaxisisisnoted
notedwith
with”y”“y”labeling
labelingbybyturning
turningthe
theexperimental
experimentalvaluesvaluesof ofsuperficial
superficial
tension,
tension,contact
contact angle, work
work of ofadhesion,
adhesion,workworkofof cohesion,
cohesion, andand work
work of spreading.
of spreading. TheThebest
best spreading
spreading waswas observed
observed for gel-like
for the the gel-like microemulsions
microemulsions formulated
formulated withwith the maxi-
the maximum
mum concentration
concentration of oleic
of oleic acid. acid.
Variationininsuperficial
Figure8.8.Variation
Figure superficialparameters
parametersfor
forthe
theME
ME1–10
1–10microemulsions,
microemulsions,evaluated
evaluatedfollowing
following
thesessile
sessiledrop
dropmethod 24±±0.5
methodatat24 ◦ C.
0.5°C.
the
Figure 9.
Figure 9. MCZ
MCZrelease
releaseprofiles—(a)
profiles—(a)Cumulative
Cumulativeamount released
amount (mg)
released per per
(mg) unitunit
area area
(cm2)(cm
as a2 )func-
as a
tion of time (min) for the microemulsions ME 1-ME 10, and (b) Identification of Higuchi model’s
function of time (min) for the microemulsions ME 1-ME 10, and (b)2 Identification of Higuchi model’s
linearity range for cumulative MCZ release per unit area (mg/cm ) as a function of the square root
linearity range for cumulative MCZ release per unit area (mg/cm2 ) as a function of the square root
of time.
of time.
Kinetic descriptors specific for MCZ release from the ME 1–ME 10 microemulsions
Kinetic descriptors specific for MCZ release from the ME 1–ME 10 microemulsions
and the referencegel
and the reference gelwere
weredescribed
describedasas diffusion
diffusion coefficients
coefficients and and correlation
correlation coefficients
coefficients (R)
(R) that well fitted the Higuchi model. The results are presented in Table
that well fitted the Higuchi model. The results are presented in Table 9, in relationship with 9, in relationship
withindividual
the the individual profiles
profiles of in miconazole
of in vitro vitro miconazole
release release from microemulsions
from microemulsions after ap-
after applying
plying
the the Higuchi
Higuchi model.model. Generally,
Generally, the kinetic
the kinetic modelmodel was used
was used to describe
to describe and and validate
validate the
the kinetic release of various drugs from designed and studied microemulsions
kinetic release of various drugs from designed and studied microemulsions with ibupro- with ibu-
profen
fen [89],[89], quercetin
quercetin [52],
[52], oleanolic
oleanolic acid
acid [107],ororfrom
[107], frommore
morecomplex
complexsystems
systems containing
containing
microemulsions for delivery of clotrimazole from nanofibers [108], polymer-based gels,
microemulsions for delivery of clotrimazole from nanofibers [108], polymer-based gels,
microemulsion-based gels,
microemulsion-based gels,ororliposomal
liposomalgels gelswith
withcroconazole
croconazole [109]. In this
[109]. study,
In this the the
study, cu-
mulative amount
cumulative amount of of
MCZ MCZ released
releasedperper
unit area
unit (mg/cm
area (mg/cm
2 ) was
2 graphically
) was presented
graphically as a
presented
function
as of the
a function ofsquare root root
the square of time, and and
of time, the linear profiles
the linear validating
profiles the model
validating werewere
the model pro-
jected (Figure
projected 9—case
(Figure 9—caseb). b).
The diffusion coefficients varied between 0.0162·10−5 cm2 /s (in the case of the ref-
erence gel) and 2.56·10−5 cm2 /s in the case of ME 1, which exhibited the highest release
along with ME 2 and ME 4. From the group of the gel-like formulations, ME 8 had the
maximum diffusion coefficient value of 1.00 cm2 /s.
The structural complexity of the microemulsions governs the drug release, being
composition-dependent. Thereby, the release was superior from all the microemulsions
compared to the gel system. The observation is closely related to some reports where
the reference was a miconazole suspension tested using dialysis membranes [71,72] or
a cream-based formulation with miconazole analyzed through permeation studies [110].
Several factors affecting drug diffusion are related to the solubility of miconazole in the
aqueous and the lipophilic phase, the stabilizer effect of Tween 20 and PEG 400, and
particular dynamics occurring in the formation of fluid and viscous microemulsion [47].
Thereby, droplet size and viscosity are the main physical parameters with a direct impact
on the drug release. A high level of the aqueous phase and the nanometer scale of the
dispersed droplets sustain a faster diffusion, as previously described for microemulsions
with clotrimazole [111]. Reduced droplet diameters between 119.60–188.33 nm, specific
for the ME 1–ME 4 fluid systems, were correlated to higher values of diffusion coefficients,
while in the case of ME 5–ME 8 gel-like systems, elevated sizes up to 250.20 nm slowed
down the MCZ release. It was observed that an increase in drug diffusion is linked to a
partition of the API in the two solubilizers—the oil phase and the surfactant/cosurfactant
mixture, determining the API to reside at the oil/water interface, accelerating diffusion [98].
As the oil concentration increases, the API becomes encapsulated in oily cores, implied in
Pharmaceutics 2024, 16, 271 22 of 38
strong interactions that reinforce the internal structure and increase the viscosity, promoting
a controlled drug release [49].
3.12. Statistical Analysis for the Miconazole Microemulsions Using 23 Full Factorial Design
The last step of the study comprised the application of a Quality by Design (QbD)
approach to assess microemulsions with adequate critical quality attributes. Beginning
with the projection of the 23 + 2 factorial model with 10 experimental runs generated in
Design Expert, the three formulation factors noted X1 : Oleic acid (%), X2 : Tween 20 (%), and
X3 : PEG 400 (%) were analyzed as independent variables that may influence the variation of
three main responses namely Y1 : mean droplet size—Ds (nm), Y2 : work of adhesion—Wa
(mN/m), and Y3 : diffusion coefficient—D (cm2 /min).
Response surface regression was based on a statistical interpretation of responses using
multiple linear regression combined with response surface methodology [112,113]. Using
ANOVA analysis, it was interpreted the statistical significance of independent factors and
possible interactions that may occur by analyzing the p-value for each model, together with
the lack of fit value, R2 , and adjusted R2 , by assuming p < 0.05 as desired for the significance
of the statistical model, and p > 0.05 for the lack-of-fit. Moreover, a critical interpretation
using contour plots, surface response plots, and interaction plots was proposed to visualize
formulation factors’ influence on responses [63,112,114].
The experimental design is of outstanding relevance to assess the complexity of the
microemulsions and find out a desired system that must accomplish a sum of criteria
relying on their pharmaceutical applicability for buccal application: a reduced droplet size,
an adequate work of adhesion, and a high diffusion coefficient that assumes a high release
rate of miconazole to support a sustained action on oral lesions. In this sense, a predictive
optimization was implemented to find solutions with the best desirability coefficients.
Table 10 presents the independent and dependent variables analyzed using the design
of the experiment for the ten systems generated through the full factorial plan. The
experimental values of the three responses are accompanied by predicted values proposed
over the statistical analysis.
Table 10. Independent variables presented in a relationship with the critical quality attributes
with actual and predicted responses obtained from response regression study for the analyzed
microemulsions.
the nanometric
nanometric sizesize of the
of the microemulsion
microemulsion droplets,
droplets, it itcan
canbebeestimated
estimatedaa high
high surface area
influenced
influenced by dynamics in the molecular arrangements of surfactant and cosurfactant at
oil/waterinterface
the oil/water interfacethatthatpromotes
promotesaahighly
highlyreduced
reduced interfacial
interfacial tension
tension and
and an
an increased
increased
contact at
contact at the
thelevel
levelofofthe
thebuccal
buccalmucosa
mucosa[115].
[115].
In In
this this sense,
sense, a statistical
a statistical interpretation
interpretation for
for the
the meanmean
Ds ofDstheof projected
the projected microemulsions
microemulsions was was proposed
proposed to find
to find howhow formulation
formulation var-
variables
iables influence
influence thethe hydrodynamic
hydrodynamic diameter.The
diameter. Themathematical
mathematicalinterpretation
interpretationof of the
the Y1
initially created using the Half-Normal
response was initially Half-Normal plot plot of the standardized effect effect and
the Pareto
Pareto chart
chartthat
thatwell-defined
well-definedthe
thesignificance
significanceof ofeach term
each for for
term the the
statistical model
statistical [52],
model
beingbeing
[52], presented in Figure
presented 10—cases
in Figure (a) and
10—cases (a)(b).
and (b).
Figure
Figure 10.
10. Initiative
Initiativestep
stepininmathematical
mathematicalmodeling
modelingofof
Y1Yresponse using
1 response thethe
using Half-Normal
Half-NormalPlotPlot
of the
of
standardized effect—case (a), and Pareto Chart ranking the significant terms as a function
the standardized effect—case (a), and Pareto Chart ranking the significant terms as a function of of thethe
t-
value and Bonferroni limit—case
t-value and Bonferroni limit—case (b). (b).
According
According to tothe
theresponse
responsesurface
surface regression
regression analysis,
analysis, Ds was
Ds was significantly
significantly influ-
influenced
enced
by oleic acid (%)—X1 factor, PEG 400 (%)—X3 factor, and the X1 X2 interaction, with p <with
by oleic acid (%)—X 1 factor, PEG 400 (%)—X 3 factor, and the X 1 X2 interaction, 0.05.
pThe
< 0.05. The projected
projected model was model was significant,
significant, withofa 0.0150
with a p-value p-value of an
and 0.0150 andofan21.29.
F value F value of
There
21.29.
is onlyThere is only
a 1.50% a 1.50%
chance that anchance thatthis
F value an large
F value this occur
could large could
due tooccur
noise.dueThetopolynomial
noise. The
polynomial
equation that equation that
fitted the Y1 fitted the Yis1 presented
response response isherein
presented herein(5)):
(Equation (Equation (5)):
Y1 =Y163.92
1 = 163.92 + 29.95 X1 + 16.02 X3 + 20.45 X1X2 + 11.30 X1X3 − 7.58 X2X3
+ 29.95 X1 + 16.02 X3 + 20.45 X1 X2 + 11.30 X1 X3 − 7.58 X2 X3 (8)
(8)
The experimental assessments through DLS revealed that the mean Ds values varied
The 119.60
between experimental
nm andassessments
250.20 nm, through DLS revealed
being influenced that
by the oilthe meanPEG
phase, Ds values varied
400, and the
between 119.60 nm and 250.20 nm, being influenced by the oil phase, PEG
interaction between oleic acid and Tween 20. It can be observed that the X1 term had 400, and thea
strong positive effect in terms of increasing Ds. The same observation was valid for the Xa3
interaction between oleic acid and Tween 20. It can be observed that the X 1 term had
strongdescribed
term positive effect
by a in terms coefficient
positive of increasing
in Ds.
the The
samesame observation
manner the X1Xwas valid for the
2 interaction has
X3 term described by a positive coefficient in the same manner the X X interaction has
shown. The R22 obtained for the model was 0.9726, while the adjusted1 R222 by reference to
shown. The R obtained for the model was 0.9726, while the adjusted R by reference to
degrees of freedom was 0.9269. Table 11 exposes the terms analyzed in the ANOVA test
degrees of freedom was 0.9269. Table 11 exposes the terms analyzed in the ANOVA test as
as a function of F and p-values at a confidence level of 95%.
a function of F and p-values at a confidence level of 95%.
Similar assessments were obtained in a full factorial design to develop nanostruc-
Similar assessments were obtained in a full factorial design to develop nanostructured
tured lipid carriers with salicylic acid. The multiple linear regression was defined by sig-
lipid carriers with salicylic acid. The multiple linear regression was defined by significant
nificant factors (surfactant concentration and the ratio of the lipidic phase) implied in par-
factors (surfactant concentration and the ratio of the lipidic phase) implied in particle size
ticle size variation in an opposite manner [116].
variation in an opposite manner [116].
Response variation as a function of independent variables was graphically described
by designing contour plots of response. The representations are shown in Figure 11—cases
(a) and (b).
X2X3 459.35 1 459.35 3.37 0.1637
Residual 408.77 3 136.26
Cor Total 17,427.29 9
Pharmaceutics 2024, 16, 271 24 of 38
Response variation as a function of independent variables was graphically described
by designing contour plots of response. The representations are shown in Figure 11—cases
(a) and (b).
Table 11. Analysis of Variance results for Y1 response.
The two contour plots represented below showed how droplet size diameter changed
withSource
the increaseSumin oleic acid from 5%
of Squares df to 10% as Square
Mean a function of the Tween 20
F-Value variation
p-Value
(Figure 11—case (a)). The interaction of Tween 20 with oleic acid can be observed only in
Block 2511.59 1 2511.59
low concentrations
Model of the oil phase, where
14,506.93 5 droplet size varies between
2901.39 21.29 120–1600.0150
nm. Over
160 nm, oleic
X1 -Oleic acid acid has a dominant effect
7585.15 1 on particle size, and the
7585.15 contour lines
55.67 tend to
0.0050
become
X3 -PEGparallel
400 with2171.31
the axis of the X21term. 2171.31 25.94 0.0282
X1 X2droplet size3390.09
The 1
is differently represented 3390.09
in Figure 11—case 24.88
(b), where at0.0155
low con-
X1 X3 of oleic acid
centrations 1035.22
and PEG 400,1 Ds is concentrated
1035.22 under 7.60 0.0704
140 nm, and it tends to
X2 X3 459.35 1 459.35 3.37 0.1637
increase with the increase
Residual 408.77
in their concentration.
3
Even PEG 400 promotes a fluidizing ef-
136.26
fectCor
with increasing
Total concentration,
17,427.29 and9 it is implied in droplets growing at the maximum
oil concentration.
Figure 11.
Figure 11. Contour plots for
Contour plots for mean
mean droplet
droplet size
size response
response (Y
(Y11)) as a function
as a function of
of (a)
(a) X
X11:: Oleic
Oleic acid
acid (%),
(%),
X2: Tween 20 (%), and (b) X1: Oleic acid (%), X3: PEG 400 (%).
X2 : Tween 20 (%), and (b) X1 : Oleic acid (%), X3 : PEG 400 (%).
These
The twoeffects canplots
contour be better visualized
represented below using surface
showed howplots for size
droplet the mean droplet
diameter size
changed
response represented as a function of the X and X terms by variating PEG
with the increase in oleic acid from 5% to 10% as a function of the Tween 20 variation
1 2 400 concentra-
tion, as shown
(Figure 11—casein (a)).
FigureThe12.interaction
From caseof (a)Tween
to (c), it
20can beoleic
with observed thatbe
acid can variation in droplet
observed only in
size concentrations
low tends to exceedof a high
the oillimit withwhere
phase, the increase
dropletin PEG
size 400 (%).
varies between 120–160 nm. Over
160 nm, oleic acid has a dominant effect on particle size, and the contour lines tend to
become parallel with the axis of the X2 term.
The droplet size is differently represented in Figure 11—case (b), where at low con-
centrations of oleic acid and PEG 400, Ds is concentrated under 140 nm, and it tends to
increase with the increase in their concentration. Even PEG 400 promotes a fluidizing effect
with increasing concentration, and it is implied in droplets growing at the maximum oil
concentration.
These effects can be better visualized using surface plots for the mean droplet size
response represented as a function of the X1 and X2 terms by variating PEG 400 concentra-
tion, as shown in Figure 12. From case (a) to (c), it can be observed that variation in droplet
size tends to exceed a high limit with the increase in PEG 400 (%).
Pharmaceutics 2024, 16, x FOR PEER REVIEW 26 of 40
Pharmaceutics 2024, 16, x FOR PEER REVIEW 26 of 40
Pharmaceutics 2024, 16, 271 25 of 38
Figure 12. Surface plots for mean droplet size response (Y1) as a function of X1: Oleic acid, X2: Tween
Figure 12. Surface plots for mean droplet size response (Y1 ) as a function of X1 : Oleic acid, X2 : Tween
20, by fixing
Figure PEG 400
12. Surface concentration
plots from 10%—case
for mean droplet (a),(Y
size response to 15%—case (b),ofup to 20%—case (c).
20, by fixing PEG 400 concentration from 10%—case (a), to1)15%—case
as a function
(b), upX1to
: Oleic acid, X(c).
20%—case 2: Tween
20, by fixing PEG 400 concentration from 10%—case (a), to 15%—case (b), up to 20%—case (c).
The
The results
results werewere accompanied
accompanied by interaction plots
by interaction plots for
for the
the X X1XX2 term of the equation
1 2 term of the equation
and are
The presented
results in
were Figure 13.
accompanied The interactions
by interaction
and are presented in Figure 13. The interactions were graphically were
plots graphically
for the X 1X2described
term of theusing
described the
equation
using the
same principle.
and are
same presented
principle. According to
in Figure
According case
to 13. (a),
caseThe when PEG
(a),interactions
when PEG were 400 (noted as
graphically
400 (noted C) is fixed
as C) isdescribed at 10%, two
usingtwo
fixed at 10%, the
situations
situations can
can be
same principle. visualized.
be According
visualized. toWithcase
With the variation
(a),
the when PEG
variation of
of oleic
400acid
oleic from
(noted
acid from as5%C) to
5% is 10%,
to fixedthe
10%, X
X22 factor
at 10%,
the two
factor
(at
(at 30%)
30%) did
situationsdid not
can beaffect
not affect dropletWith
visualized.
droplet sizethe
size variation,
variation
variation, being constantly
of oleic
being acid from
constantly settled
5% toaround
settled 10%, the
around 150
150X2nm. If
factor
nm. If
Tween
Tween 20
(at 30%) isisfixed
20did not at
fixed at40%,
affect the
theresponse
droplet
40%, takes
takesascending
size variation,
response values
being constantly
ascending values from anan
settled
from inferior
around level
inferior 150 up up
nm.
level toIf
approximately
Tween
to 20 is fixed
approximately 200200
nm.
at The
40%,
nm. slope
the
The represented
response
slope in this
in case
takes ascending
represented with
case awith
values
this red aline
from anred crosses
inferior the black
level
line crosses up to
the
line,
black defining
approximately an
line, defining intersection
200 nm. where the
The slope represented
an intersection output remains
in this case
where the output the same
withthe
remains a redeven
lineeven
same if Tween
crosses 20 has
the black
if Tween 20
minimum
line,minimum
has definingor maximum
anmaximum
or levels.
intersection where the output remains the same even if Tween 20 has
levels.
minimum or maximum levels.
Figure
Figure 13.13. Interaction
Interactionplotsplots for
for XX11XX2 2term,
term,considering
consideringthree
threecases:
cases:(a)
(a)XX
1X1 2Xinteraction
2 interaction when
when X3Xis3
fixed at 10%;
isFigure
fixed at (b) (b)
13.10%; X1XX2 1interaction
Interaction Xplots
2 for when
interaction
X 1 X 2 X
when3 is X
term, fixed
is at 15%;
fixed
considering
3 at (c)
15%;X1X
three 2 interaction
(c) X
cases:X when
interaction
(a)
1 2 X1X 2 X 3 is fixed
when
interaction X
when
3
at
is 20%.
fixed
X3 is
fixed
at 20%.at 10%; (b) X1X2 interaction when X3 is fixed at 15%; (c) X1X2 interaction when X3 is fixed at 20%.
The reversal style of the interaction is also maintained in case (b), where the actual
factorThe
The reversal
X3 (noted
reversal style
with C)of
style was
of the interaction
thefixed at 15%.is
interaction also
also maintained
isConsequently,
maintained in
in case
it can (b),
(b), where
be seen
case that
whereat the
the actual
mini-
actual
factor
mum XX33(noted
(notedwith
factorconcentration withofC) was
the
C) wasX1fixed
and
fixed at 15%.
X2at
terms,
15%.Consequently,
the responseitis
Consequently, can be seen
itplaced
can that that
bearound
seen at150
theatnm,
minimum
thebeing
mini-
concentration
balanced up of
to the
175 X
nm and
if theX terms,
X term the
is response
considered is placed
a around
maximum
mum concentration of the X1 and X2 terms, the response is placed around 150 nm, being
1 2 1 150
point.nm,
At being
the balanced
maximum
up toof
level 175
balanced nmto
Tween
up if20,
thekept
175 X
nm 1 term
with
if theisaXconsidered
minimum a maximum
level
1 term is considered of the point.
oil phase,
a maximum Atpoint.
the output
the maximum level of
At thediminishes
maximum
Tween
through 20,
level of 100 kept with
nm, 20,
Tween a
butkept minimum
it is drastically
with a minimumlevel of
modified the oil
at the
level phase, the
of maximum output
the oil phase, diminishes
oil level. through
the output diminishes
100 nm, but
through 100itnm,
is drastically modified modified
but it is drastically at the maximum oil level. oil level.
at the maximum
In the last case (c), when PEG 400 (noted as C) was fixed at 20%, it can be observed a
large output domain from 100 nm to approximately 200 nm with the variation of X2 term
Pharmaceutics 2024, 16, x FOR PEER REVIEW 27 of 40
Figure
Figure 14.
14. Initiative
Initiativestep
stepininmathematical
mathematicalmodeling
modelingofof
Y2Yresponse using the Half-Normal Plot of the
2 response using the Half-Normal Plot of
standardized effect—case (a), and Pareto Chart ranking the significant
the standardized effect—case (a), and Pareto Chart ranking the significant terms as as
terms a function of of
a function thethe
t-
value and Bonferroni limit—case (b).
t-value and Bonferroni limit—case (b).
The
The projected
projected model
model was
was significant,
significant, with
with aa p-value
p-value of
of 0.0002
0.0002 and
and an
an FF value
valueof
of115.37.
115.37.
The reducedpolynomial
The reduced polynomialequation
equationthat
thatfitted
fittedthe
the response
response is presented
is presented below,
below, andand
the the re-
results
sults of the ANOVA analysis are listed in Table 12. The model was validated
of the ANOVA analysis are listed in Table 12. The model was validated by a regression by a regres-
sion R2 ofR0.9914
coefficient
coefficient and an adjusted R2 ofR0.9825.
2 of 0.9914 and an adjusted 2 of 0.9825.
TableThe mathematical
12. Analysis modeling
of Variance resultsoffor
the
Y2work of adhesion was performed using the Young–
response.
Dupré equation. Thus, considering the results placed between 11.29–89.05 mN/m, it was
Source thatSum
appreciated the of Squares
oleic acid term Df Mean Square
(X1 ) negatively F-Value
affected the p-Value of
adhesion properties
Block 342.05 1 342.05
the microemulsions as a function of its concentration. The lowest values for the work of
adhesion were obtained when oleic acid was selected in a concentration over 5%.
Pharmaceutics 2024, 16, x FOR PEER REVIEW 28 of 40
Figure 15. Surface plots for work of adhesion (Y2 ) as a function of X2 : Tween 20 (%), X3 : PEG 400 (%),
Figure 15. Surface plots for work of adhesion (Y2) as a function of X2: Tween 20 (%), X3: PEG 400 (%),
by
byfixing
fixingoleic
oleicacid
acidconcentration
concentrationfrom
from5%—case
5%—case(a),(a),toto7.5%—case
7.5%—case(b),
(b),up
uptoto10%—case
10%—case(c).
(c).
Firstly, it can be mentioned the domain between 60–80 mN/m from Figure 16—case
(a), where the oleic acid term (noted with A) is fixed at 5%. There is only one case where a
slight variation in the output can be observed, but just in the specified range when the X2
term and X3 term are modified. Thus, Tween 20 (40%) determined an increase in the work
of adhesion when PEG 400 is considered 10%, or in reverse, a decrease in response when
PEG 400 is considered 20%. When the oil content is increased to 7.5%—case (b), the output
range drops down to around 40 mN/m, where the significance of the X2 and X3 factors is
lowered. The most substantial effect is seen in case (c), where the lines tend to be straight
and uncrossed alongside the X2 or X3 axis, and an output concentrated under 20 mN/m.).
Figure
Figure16.16. Interaction
Interaction plots
plots emphasizing
emphasizing the
the main
main effect
effect of
of X
X11 term: (a) X
term: (a) X22XX33interaction
interactionwhen
whenXX1 1is
isfixed
fixedatat5%;
5%;(b)
(b)XX X interaction
2X23 interaction
3 when X is fixed at 7.5%; (c) lack of X X interaction
when X1 is1fixed at 7.5%; (c) lack of X2X3 2interaction
3 when X1 is Xfixed
when 1 is
fixed at 10%.
at 10%.
Firstly,
3.12.3. it canInterpretation
Statistical be mentioned for
theDiffusion
domain between
Coefficient60–80 mN/m from Figure 16—case
of Miconazole
(a), where the oleic acid term (noted with A) is fixed at 5%. There is only one case where a
The response regression analysis for the diffusion coefficient (D) followed a particu-
lar pathway compared to the previously performed designs. Thus, a square root transfor-
mation was applied to obtain a linear regression for a relevant model that can better fit the
response. Over the first initial configuration of the model with linear regression with no
transformation, the Box–Cox plot helped in diagnosing inadequacies of the statistical
Pharmaceutics 2024, 16, 271 28 of 38
slight variation in the output can be observed, but just in the specified range when the X2
term and X3 term are modified. Thus, Tween 20 (40%) determined an increase in the work
of adhesion when PEG 400 is considered 10%, or in reverse, a decrease in response when
PEG 400 is considered 20%. When the oil content is increased to 7.5%—case (b), the output
Figure drops
range 16. Interaction
down toplots emphasizing
around 40 mN/m, the where
main effect of X1 term: (a)ofXthe
the significance 2X3 interaction
X2 and X3 when
factors X1 is
fixed at 5%;
lowered. (b) most
The X2X3 interaction
substantialwhen X1 is
effect is fixed
seen at
in7.5%;
case (c)
(c),lack of X2the
where X3 interaction
lines tendwhen
to beXstraight
1 is fixed
at 10%.
and uncrossed alongside the X2 or X3 axis, and an output concentrated under 20 mN/m).
Figure 17.
17. Initiative
Initiativestep
stepininmathematical
mathematicalmodeling
modelingofof
Y3Yresponse using the Half-Normal Plot of the
Figure 3 response using the Half-Normal Plot of
standardized effect—case (a), and Pareto Chart ranking the significant
the standardized effect—case (a), and Pareto Chart ranking the significant terms as as
terms a function of of
a function thethe
t-
value and Bonferroni limit—case (b).
t-value and Bonferroni limit—case (b).
Following the response surface regression analysis, the diffusion coefficient was sig-
nificantly influenced by oleic acid (%)—X1 factor, Tween 20 (%)—X2 factor, and their
interactions between the factors X1 X2 , X1 X3 , and X2 X3 , with a p < 0.05. The new model was
significant, with a p-value of 0.0004 and an F of 2362.10. There is a 0.04% chance that an F
value this large could occur due to noise. The regression equation (Equation (7)) obtained
through the square root transformation fitting the Y3 response is further presented, together
Pharmaceutics 2024, 16, 271 29 of 38
with the results of the ANOVA analysis listed in Table 13. The model was confirmed by
regression coefficients R2 of 0.9999 and an adjusted R2 of 0.9994.
Figure 18. Surface plots for diffusion coefficient (Y3 ) as a function of X1 : Oleic acid (%), X2 : Tween 20
Pharmaceutics 2024, 16, x FOR PEER Figure
REVIEW18. Surface plots for diffusion coefficient (Y3) as a function of X1: Oleic acid (%), X2: Tween
32 of
2040
(%) terms, by fixing PEG 400 concentration at 10%—case (a), 20%—case (b); and as a function of X2 :
(%) terms,
Tween by X
20 (%), fixing PEG 400 concentration at 10%—case (a), 20%—case (b); and as a function of X2:
3 : PEG 400 (%), by fixing oleic acid concentration at 5%—case (c), 7.5%—case (d), and
Tween 20 (%), X3: PEG 400 (%), by fixing oleic acid concentration at 5%—case (c), 7.5%—case (d),
10%—case (e).
and 10%—case (e).
Furthermore, in Figure 18—cases (c)–(e), the variation of the diffusion coefficient was
observed from a different perspective, taking into consideration the primary axis for X2
and X3 terms dynamics under the effect of progressive modification of the oil phase (%)
from 5% to 10%. The profiles preserved a similar allure as previously presented over the
statistical analysis for the Y2 response.
For final appreciations, interaction plots were represented in Figure 19—cases (a)–(c)
to emphasize the particular effects of the formulation factors with an accent on the X1X2
effect on drug diffusion when X3 was selected on the 10–20% interval. At any variation of
PEG 400, drug diffusion was delayed when oleic acid (%) increased to 10%. A favorable
dynamic was seen when PEG 400 was fixed at 20%. Tween 20 40% may interfere in drug
diffusion, obtaining intermediary values of D (cm2/s), even at higher levels of the oil phase.
Figure 19. Interaction plots emphasizing X1 X2 term when X3 term is fixed at 10%—case (a), at
15%—case (b), up to 20% specific for lack of interaction—case (c).
Figure 19. Interaction plots emphasizing X1X2 term when X3 term is fixed at 10%—case (a), at 15%—
caseIt(b),
canupbe
to stated
20% specific for lack
that the of interaction—case
fluid-like ME 1–ME 4(c).
microemulsions prepared with oleic
acid 5% exhibited a higher drug release with maximum diffusion coefficients (1.85·10−5 –
2.56·10It−can
5 cmbe stated
2 /s) that the fluid-like
and adequate adhesionME 1–ME 4 microemulsions
(56.07–89.05 mN/m). Takingprepared with oleic
into consideration
acid
the 5% exhibited
presence of somea higher drugphenomena
instability release withinmaximum diffusion
the case of ME 1, ME coefficients
3, and ME (1.85·10
9 (as
−5–
2.56·10out
pointed
−5 cmin/s)
2
theand adequate adhesion
organoleptic analysis), (56.07–89.05 mN/m).
stability studies Taking
will be into consideration
proposed in future studies the
presence of some instability phenomena in the case of ME 1, ME 3, and
to evidentiate the thermodynamic stability of microemulsions. In the present case, it ME 9 (as pointed
outvalued
was in the organoleptic
the contribution analysis),
of ME stability
2 and MEstudies will be
4 as model proposed
systems that in
canfuture studies
solubilize andto
evidentiate the thermodynamic stability of microemulsions. In the present
enhance miconazole release. Similarly, the two microemulsions are characterized by nano- case, it was
valued
sized the contribution
droplets under 200 nm,of ME 2 andinfluencing
directly ME 4 as model systems
the kinetic that can and
mechanism solubilize and en-
the adhesion
hance miconazole
properties. To promote release. Similarly,
a controlled the two
release andmicroemulsions are characterized
a higher MCZ liberation, the gel-likebyMEnano-
8
sized droplets under 200 nm, directly influencing the kinetic mechanism and the adhesion
properties. To promote a controlled release and a higher MCZ liberation, the gel-like ME
8 microemulsion can satisfy these conditions due to its maximum concentration of PEG
400 20% and Tween 20 40%. Even if the two stabilizers impacted the droplet size by in-
creasing it up to 250 nm, creating gel-like structures became a promising approach for
Pharmaceutics 2024, 16, 271 31 of 38
microemulsion can satisfy these conditions due to its maximum concentration of PEG 400
20% and Tween 20 40%. Even if the two stabilizers impacted the droplet size by increasing
it up to 250 nm, creating gel-like structures became a promising approach for further
research of mucoadhesive systems with tailored physico-chemical and biopharmaceutical
attributes. ME 10 has distinguished itself from the group as a gel-like microemulsion with
a superior consistency index and an average droplet size of 144.36 nm but with a reduced
drug diffusion (3.43·10−6 cm2 /s) and lower adhesion (11.29 mN/m).
Implementation of new factorial designs inspired by the need to develop new plat-
forms for drug delivery by using old molecules with improved therapeutic profiles, like
antifungals. A 23 full factorial design was proposed to optimize PLGA nanoparticles with
itraconazole by analyzing the impact of PLGA, benzyl benzoate, and the drug as formu-
lation factors influencing particle size [123]. The combination of formulation design with
mathematical modeling creates an excellent opportunity to rigorously characterize and
describe the intimate contribution of the formulation factors for pharmaceutical-relevant
attributes like droplet size, work of adhesion, and drug diffusion.
Table 14. Setting parameters according to the findings of the factorial design to implement predictive
optimization.
Trial 1 Trial 2
No. Variables
Goal Limits Goal Limits
1 Oleic acid 7% 5.0–10% in range 5–10%
2 Tween 20 maximize 30–40% in range 30–40%
3 PEG 400 in range 10–20% in range 10–20%
4 R1 (nm) minimize 119.6–250 nm minimize 119.6–250 nm
5 R2 (mN/m) 60 mN/m 11.29–89.05 mN/m 60 mN/m 11.29–89.05 mN/m
6 R3 (cm2 /s) in range 10−5 –2.56·10−5 cm2 /s in range 10−5 –2.56·10−5 cm2 /s
In the first case, for a microemulsion containing oleic acid 6.99%, Tween 20 40%, and
PEG 400 10%, the predicted responses proposed a mean droplet size of 147.53 nm, a work
of adhesion of 49.90 mN/m, and a drug diffusion coefficient of 1.19·10−5 cm2 /s, with a
good desirability of 0.8870.
The second solution obtained over the analysis described a potential microemulsion in
which miconazole can be solubilized using oleic acid 5.55%, with droplets stabilized using
Tween 20 40% and PEG 400 20%. The system is characterized by predictive responses that
Table 14. Setting parameters according to the findings of the factorial design to implement predic-
tive optimization.
Trial 1 Trial 2
Pharmaceutics 2024, 16, 271 No. Variables 32 of 38
Goal Limits Goal Limits
1 Oleic acid 7% 5.0–10% in range 5–10%
2 Tween 20 maximize 30–40% in range 30–40%
assume a mean droplet size of 124.26 nm, a work of adhesion of 60 mN/m, and a maximum
3 PEG
diffusion 400 in of
coefficient range
1.719·10−5 cm10–20%
2 /s, with the bestin range
desirability 10–20%
coefficient of 0.9820.
4 The R1predictive
(nm) minimize 119.6–250 nm minimize 119.6–250
optimization results offered a promising perspective on developing nm
5 R2 (mN/m)platforms
nanostructured 60 mN/mfor drug
11.29–89.05
deliverymN/m 60further
that can be mN/m designed 11.29–89.05 mN/m
to promote anti-
6 Ractivity
fungal 3 (cm2/s) in range
in oral 10−5 – 2.56·10−5 cm2/s
candidiasis. in range 10−5 – 2.56·10−5 cm2/s
Figure 20. Predictive optimization to depict two optimized solutions for microemulsions with
Figure 20. Predictive optimization to depict two optimized solutions for microemulsions with ade-
adequate
quate critical
critical attributes.
attributes.
4. Conclusions
In the first case, for a microemulsion containing oleic acid 6.99%, Tween 20 40%, and
The10%,
PEG 400 present
the study revealed
predicted an open
responses pathway
proposed for the
a mean development
droplet process
size of 147.53 nm, aofwork
new
microemulsions for local therapy in oral candidiasis. In this context, miconazole base
of adhesion of 49.90 mN/m, and a drug diffusion coefficient of 1.19·10 cm /s, with a good
−5 2
was the antifungal model drug studied to improve its solubility and bioavailability using
desirability of 0.8870.
nano-sized microemulsions composed of oleic acid 5–10%, Tween 20 30–40%, and PEG
The second solution obtained over the analysis described a potential microemulsion
400 10–20%. The formulation study was combined with a 23 full factorial design with
in which miconazole can be solubilized using oleic acid 5.55%, with droplets stabilized
two lack of fit points. Designed as fluid and gel-like systems, the microemulsions were
using Tween 20 40% and PEG 400 20%. The system is characterized by predictive re-
characterized from physical and biopharmaceutical perspectives and further researched for
sponses that assume a mean droplet size of 124.26 nm, a work of adhesion of 60 mN/m,
pharmaceutical applications in buccal delivery.
The characterization process was accompanied by statistical analysis, succeeded by
response surface methodology to optimize microemulsions with adequate critical quality
attributes.
The connections found between physical and biopharmaceutical attributes conceived
a promising algorithm to optimize microemulsions that can exhibit a reduced droplet size,
a moderate adhesion up to 60 mN/m, and superior diffusion, being inspired by three
systems resulting from the factorial plan.
A microemulsion containing oleic acid 6.99%, Tween 20 40%, and PEG 400 10%, with
predicted responses quantified as mean droplet size of 147.53 nm, a work of adhesion of
49.90 mN/m, and a drug diffusion coefficient of 1.19·10−5 cm2 /s was a first solution of the
predictive optimization for a model microemulsion.
The second solution obtained over the analysis described a potential fluid microemul-
sion in which miconazole can be solubilized using oleic acid 5.55%, with droplets stabilized
using Tween 20 40% and PEG 400 20%. The system was characterized by predictive re-
sponses that assume a mean droplet size of 124.26 nm, a work of adhesion of 60 mN/m,
and a maximum diffusion coefficient of 1.719·10−5 cm2 /s. The last solution resembled
the model microemulsion described in the research, but in this case, a slight increase in
Pharmaceutics 2024, 16, 271 33 of 38
the oil content can modulate the response parameters to the desired constraints, result-
ing in promising performant systems that may impose their quality attributes in buccal
drug delivery.
Author Contributions: Conceptualization, M.-T.T., L.P. and M.V.G.; methodology, M.-T.T., L.P.,
M.V.G., C.-E.D.-P. and V.A.; software, M.-T.T., L.P. and M.V.G.; validation, M.-T.T., L.P. and M.V.G.;
formal analysis, M.-T.T., L.P., M.V.G. and R.M.P.; investigation, M.-T.T., L.P., M.V.G. and V.A.; re-
sources, L.P., M.V.G., V.A. and C.-E.D.-P.; data curation, M.-T.T., M.V.G. and L.P.; writing—M.-T.T.;
writing—review and editing, M.-T.T., M.V.G. and L.P.; visualization, L.P., M.V.G., V.A., C.-E.D.-P. and
R.M.P.; supervision, L.P. and M.V.G.; project administration, C.-E.D.-P.; funding acquisition, C.-E.D.-P.
All authors have read and agreed to the published version of the manuscript.
Funding: The materials for the development of the experimental studies were supported by the
“Carol Davila” University of Medicine and Pharmacy Bucharest through Contract No. CNFIS-FDI-
2023-F-0708.
Institutional Review Board Statement: Not applicable.
Data Availability Statement: The data presented in this study are available in the article.
Acknowledgments: The authors acknowledge the financial support offered by the “Carol Davila”
University of Medicine and Pharmacy Bucharest through Contract No. CNFIS-FDI-2023-F-0708.
Conflicts of Interest: The authors declare no conflicts of interest. The funder had no role in the design
of the study, in the collection, analyses, or interpretation of data, in the writing of the manuscript,
and in the decision to publish the results.
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