Formulation and In-Vitro Evaluation of Gastroretentive Floating Tablets of Axitinib: Optimization Using 3³ Full Factorial Design of Experiments
Career Point School of Pharmacy, Career Point University, Kota, Rajasthan, India
Corresponding author: sangmesh.chaudhari@gmail.com
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ABSTRACT:Axitinib, a selective vascular endothelial growth factor receptor (VEGFR) tyrosine kinase inhibitor approved for the management of advanced renal cell carcinoma, exhibits pH-dependent solubility and a narrow absorption window predominantly confined to the gastric and proximal intestinal mucosa. Rapid gastric transit of conventional oral dosage forms limits effective drug absorption, leading to erratic plasma concentrations and suboptimal therapeutic outcomes. The present study aimed to develop and optimize a gastroretentive floating tablet system of axitinib to enhance gastric residence time, promote drug dissolution in the acidic gastric environment, and improve oral bioavailability. Floating tablets were manufactured by direct compression employing hydroxypropyl methylcellulose (HPMC K4M/K100M) as the hydrophilic matrix-forming polymer and sodium bicarbonate as the effervescent gas-generating agent. A 3³ full factorial Design of Experiments (DoE) was applied to evaluate the independent and interactive effects of HPMC concentration (X₁: 15–25% w/w), Carbopol 934P (X₂: 2–6% w/w), and sodium bicarbonate (X₃: 5–10% w/w) on critical quality attributes including floating lag time, total floating time, drug release at 12 h, and tablet hardness. Three-dimensional response surface plots were generated for visual interpretation of factor–response relationships. Preformulation studies confirmed axitinib's physicochemical suitability and excipient compatibility. All formulations demonstrated acceptable powder flow and post-compression parameters. In-vitro buoyancy studies showed rapid floating onset (<90 s) and sustained floating for >9 h across all batches. The optimized formulation F14 exhibited a floating lag time of 44 ± 2 s, total floating duration of 13.4 ± 0.7 h, and cumulative drug release of 94.6 ± 1.5% at 12 h following Korsmeyer–Peppas and Higuchi release kinetics (n = 0.63), indicating diffusion-controlled non-Fickian transport. Gastroprotective evaluation confirmed structural integrity and pH stability over 12 h. The developed floating gastroretentive system represents a promising platform for enhancing axitinib biopharmaceutical performance.
KEYWORDS:Axitinib; Floating gastroretentive tablets; HPMC; Sodium bicarbonate; Design of Experiments; Response surface methodology; Sustained release; Non-Fickian diffusion; Renal cell carcinoma
Introduction
Oral drug delivery is the most widely preferred route of administration in modern pharmacotherapy owing to its non-invasive nature, patient convenience, cost-effectiveness, and flexibility in formulation design.1,2 However, various anatomical and physiological factors inherent to the gastrointestinal tract present significant challenges to the oral bioavailability of many therapeutically important drugs. These include variable gastric emptying rates, differences in regional pH, mucosal barriers, and short gastric residence times that are often inadequate for complete dissolution of drugs exhibiting pH-dependent solubility or narrow regional absorption.3-5
Gastroretentive drug delivery systems (GRDDS) have emerged as a scientifically rational solution to these challenges. By prolonging the residence of a dosage form within the stomach, GRDDS ensures continued drug release at the primary absorption site, maintains drug levels within the therapeutic window, and reduces dosing frequency—an important consideration for drugs requiring long-term administration.6,7 Among the various GRDDS platforms, floating systems have been most extensively investigated and clinically validated. Floating tablets retain buoyancy through low bulk density, hydrophilic gel matrix formation, or gas-generation mechanisms, the last of which is commonly achieved via sodium bicarbonate that reacts with gastric acid to produce CO₂, enabling the tablet to float above the gastric contents.8,9
Axitinib (5-[(1E)-2-(pyridin-2-yl)vinyl]-N-(2-(trifluoromethyl)-phenyl)-1H-indazole-6-carboxamide) is a potent, selective second-generation VEGFR-1/2/3 inhibitor used as a standard-of-care agent in the treatment of advanced clear-cell renal cell carcinoma after failure of prior systemic therapy.10,11 The drug exhibits markedly higher aqueous solubility under acidic gastric conditions (pH 1.2) compared to neutral or basic environments, with absorption principally occurring in the stomach and upper gastrointestinal tract.12 The Biopharmaceutics Classification System classifies axitinib as a Class II compound—low aqueous solubility at intestinal pH but high intestinal permeability—with variable oral bioavailability (~58%) governed significantly by dissolution kinetics.13,14 Frequent dosing (twice daily) and high interpatient pharmacokinetic variability further complicate its clinical management.15,16
Hydrophilic polymers such as hydroxypropyl methylcellulose (HPMC) are the cornerstone of floating matrix tablet technology. HPMC hydrates rapidly in gastric fluid to form a swellable gel matrix that entraps CO₂ generated from sodium bicarbonate, maintains tablet buoyancy, and modulates drug diffusion through the hydrated network.17,18 The gel layer thickness, drug diffusion coefficient, and matrix erosion rate are all influenced by the concentration and viscosity grade of HPMC used, providing a tunable sustained-release profile. Carbopol 934P contributes to additional matrix viscosity and bioadhesive character when incorporated in combination with HPMC.19,20
Design of Experiments (DoE) methodology represents a gold standard for systematic formulation optimization, enabling quantitative evaluation of main effects, interaction effects, and quadratic effects of selected formulation variables on key response attributes.21,22 Three-dimensional response surface plots generated through DoE analysis provide critical visual insight into the nature and magnitude of factor–response relationships, facilitating rational identification of optimal formulation conditions.23,24 A 3³ full factorial design is particularly suitable for evaluating three independent variables at three levels each, generating 27 experimental runs that capture the full design space without assumptions of linearity.25
Despite the recognized biopharmaceutical limitations of axitinib and the well-established utility of floating gastroretentive systems, there remains a notable paucity of systematic studies specifically addressing floating gastroretentive tablet development for this molecule. The present investigation, therefore, aims to develop, optimize using DoE, and comprehensively evaluate gastroretentive floating tablets of axitinib with the aid of three-dimensional response surface analysis.
Materials and Methods
Materials
Axitinib was received as a gift sample and employed as the active pharmaceutical ingredient. Hydroxypropyl methylcellulose (HPMC K4M and K100M) was used as the primary hydrophilic matrix-forming polymer to provide tablet integrity, gel formation, and sustained drug release. Sodium bicarbonate (NaHCO₃) was incorporated as the effervescent gas-generating agent to impart buoyancy through CO₂ generation in the gastric acidic environment. Carbopol 934P (polyacrylic acid cross-linked polymer) served as an auxiliary matrix and bioadhesive component. Lactose monohydrate was used as a filler/diluent. Magnesium stearate and talc were employed as lubricant and glidant, respectively. All excipients were of pharmaceutical grade obtained from certified suppliers and used as received.
Preformulation Studies
Preformulation characterization was performed to establish physicochemical properties of axitinib and confirm compatibility with intended excipients.26,27 Melting point was determined by the capillary tube method to assess drug purity and crystalline integrity.28 Solubility was studied in 0.1 N HCl (pH 1.2) and distilled water at 37 ± 0.5°C using the shake-flask method to characterize pH-dependent dissolution behavior.29 UV–Visible spectrophotometric analysis was performed to determine the wavelength of maximum absorbance (λmax) in 0.1 N HC.30 Drug–excipient compatibility was assessed by FTIR spectroscopy comparing pure axitinib spectra with those of binary and multicomponent physical mixtures.31,32 Differential scanning calorimetry (DSC) was conducted to further confirm thermal compatibility and detect any eutectic interactions.33,34
Design of Experiments (DoE)
A 3³ full factorial experimental design was implemented using Design-Expert® software (Stat-Ease, USA) to optimize the floating tablet formulation. Three independent variables were evaluated: X₁ – HPMC concentration (15, 20, 25% w/w), X₂ – Carbopol 934P concentration (2, 4, 6% w/w), and X₃ – sodium bicarbonate concentration (5, 7.5, 10% w/w), each at three coded levels (–1, 0, +1), yielding 27 formulation batches.35,36 Response variables comprised floating lag time (Y₁, s), total floating time (Y₂, h), drug release at 12 h (Y₃, %), and tablet hardness (Y₄, kg/cm²). Second-order polynomial mathematical models were generated by ANOVA (p < 0.05), and three-dimensional response surface plots were constructed to visualize factor–response relationships. Desirability function optimization was employed to identify optimal formulation conditions.37
Table 1: Independent Variables and Levels for 3³ Full Factorial Design
|
Code |
Variable | Level –1 (Low) | Level 0 (Medium) | Level +1 (High) | Unit |
| X₁ | HPMC | 15 | 20 | 25 |
% w/w |
|
X₂ |
Carbopol 934P | 2 | 4 | 6 | % w/w |
| X₃ | Sodium Bicarbonate | 5 | 7.5 | 10 |
% w/w |
Preparation of Floating Tablets
Floating tablets of axitinib (5 mg/tablet; total weight 200 mg) were manufactured by direct compression. Accurately weighed axitinib, HPMC, Carbopol 934P, sodium bicarbonate, and lactose monohydrate were passed through appropriate sieves (BSS #40), combined, and blended for 20 min to ensure homogeneity. Magnesium stearate (1% w/w) and talc (1% w/w) were added and blended for a further 5 min. The final blend was compressed into tablets using a single-punch tablet press (8 mm, round, flat-faced punches).38
Pre- and Post-Compression Evaluation
Pre-compression evaluation included angle of repose (funnel method), bulk density, tapped density, Carr’s compressibility index, and Hausner ratio in accordance with ICH Q8 guidelines.39,40 Post-compression tests comprised weight variation (USP <2091>), thickness, hardness (Monsanto hardness tester), friability (Roche friabilator, n=20, 100 rpm, 4 min), and drug content uniformity (UV spectrophotometry at 248 nm).41,42
In-Vitro Buoyancy Studies
Tablets were placed individually in 200 mL of 0.1 N HCl (pH 1.2) at 37 ± 0.5°C under gentle agitation (50 rpm). Floating lag time (FLT) was recorded as the time between tablet immersion and sustained surface flotation. Total floating time (TFT) was recorded as the duration of continuous buoyancy. All experiments were performed in triplicate.43,44.
In-Vitro Dissolution Studies
Dissolution was performed using USP Apparatus II (paddle, 50 rpm) in 500 mL of 0.1 N HCl (pH 1.2) at 37 ± 0.5°C. Samples (5 mL) were withdrawn at 1, 2, 4, 6, 8, 10, and 12 h with medium replacement. Samples were filtered, diluted, and analyzed at λmax 248 nm (UV spectrophotometer). Drug release data were expressed as mean cumulative percentage ± SD (n = 3).45,46
Drug Release Kinetic Analysis
Dissolution data from the optimized formulation were fitted to zero-order, first-order, Higuchi matrix, and Korsmeyer–Peppas models. The release exponent n from the Korsmeyer–Peppas model was used to interpret the release mechanism: n ≤ 0.45 (Fickian diffusion), 0.45 < n < 0.89 (anomalous transport), n ≥ 0.89 (case-II transport/erosion-controlled). Regression coefficients (R²) were compared across models.47,48
Gastroprotective Evaluation
Optimized tablets were immersed in 0.1 N HCl at 37 ± 0.5°C. At 1, 2, 4, 6, 8, and 12 h, tablets were removed and evaluated for physical integrity, surface erosion (gravimetric), dimensional changes (micrometer), and dissolution medium pH. This assessment was performed to ensure formulation safety during prolonged gastric residence and absence of acid-induced mucosal irritation potential.49
Results and Discussion
Preformulation Characterization
Preformulation results are summarized in Table 3.1. Axitinib presented as a yellow to off-white crystalline powder with a sharp melting point of 227–230°C, confirming drug purity and polymorphic uniformity. Solubility studies revealed that axitinib was freely soluble in 0.1 N HCl (pH 1.2) but practically insoluble in distilled water, establishing the clear rationale for a floating gastroretentive approach designed to maintain the drug in the acidic gastric environment for maximal dissolution and absorption. The λmax of 248 nm in 0.1 N HCl was employed for all spectrophotometric analyses throughout the study. FTIR compatibility data (Table 3.2) confirmed retention of all axitinib characteristic peaks — N–H (3360–3280 cm⁻¹), C≡N (2220–2240 cm⁻¹), C=O (1660–1685 cm⁻¹), C=C (1600–1580 cm⁻¹) — in physical mixtures with all excipients, with no evidence of new peaks or significant peak shifts, confirming physicochemical compatibility,50,51
Table 2: Preformulation Characteristics of Axitinib
|
Parameter |
Condition | Result |
| Physical appearance | Visual observation |
Yellow to off-white crystalline powder |
|
Melting point (°C) |
Capillary tube method | 227–230°C |
| Solubility — 0.1 N HCl | 37 ± 0.5°C, shake-flask |
Freely soluble |
|
Solubility — Distilled water |
37 ± 0.5°C, shake-flask | Practically insoluble |
| λmax (nm) | UV–Vis in 0.1 N HCl |
248 nm |
Powder Flow and Tablet Evaluation
All 27 formulation blends demonstrated acceptable flow and compressibility (Table 3.3). Angles of repose ranged from 24.3° to 27.9° (good to excellent flow), Carr’s indices from 13.4–14.6% (good compressibility), and Hausner ratios from 1.14–1.17. Post-compression evaluation confirmed compliance of all batches with pharmacopoeial limits for weight variation (200 ± 5 mg), hardness (4.2–6.5 kg/cm²), friability (<1%), and drug content (98.6–99.3%). Increasing HPMC concentration correlated positively with tablet hardness, attributable to the denser matrix structure formed by higher polymer loadings, consistent with previous reports.52,53
Table 3: Post-Compression Evaluation of Selected Batches
|
Batch |
Weight (mg) | Thickness (mm) | Hardness (kg/cm²) | Friability (%) | Drug Content (%) |
| F1 | 200±4.8 | 3.7±0.2 | 4.2±0.2 | 0.74±0.07 |
98.6±1.4 |
|
F9 |
200±4.4 | 3.9±0.2 | 5.7±0.4 | 0.59±0.05 | 98.9±1.5 |
| F14 | 200±4.2 | 3.9±0.2 | 5.3±0.4 | 0.58±0.06 |
99.3±1.2 |
|
F18 |
200±4.4 | 4.0±0.2 | 6.2±0.4 | 0.53±0.05 | 99.0±1.4 |
| F27 | 200±4.3 | 4.1±0.2 | 6.5±0.5 | 0.51±0.05 |
98.7±1.6 |
Three-Dimensional Response Surface Analysis
Response surface methodology provided comprehensive visual insight into the influence of formulation variables on critical quality attributes. The 3D surface plots generated for each response variable are presented below with interpretation.
Figure 1: 3D Response Surface — Effect of HPMC and NaHCO₃ on Floating Lag Time (Carbopol 934P fixed at 4% w/w)
![]() |
Figure 1: Increasing NaHCO₃ concentration substantially reduced floating lag time, while increasing HPMC concentration provided a minimal opposing effect through greater gel density resistance. |
As shown in Figure 1, floating lag time decreased markedly with increasing NaHCO₃ concentration (X₃), confirming that the rate and volume of CO₂ generation is the primary driver of buoyancy onset. At high NaHCO₃ (10% w/w), floating was achieved within 39–49 s across all HPMC levels. Increasing HPMC concentration slightly elevated floating lag time at fixed NaHCO₃, attributable to the denser hydrogel layer that must be hydrated before CO₂ can be effectively trapped within the matrix.54,55 These findings align with published reports on effervescent floating systems for analogous poorly water-soluble drugs.56
Figure 2: 3D Response Surface — Effect of HPMC and NaHCO₃ on Total Floating Time (Carbopol 934P fixed at 4% w/w)
![]() |
Figure 2: Total floating time increased significantly with HPMC concentration and was further augmented by higher NaHCO₃ levels, demonstrating synergistic effects on sustained buoyancy. |
Figure 2 illustrates the combined positive effect of HPMC and NaHCO₃ on total floating duration. At 25% HPMC with 10% NaHCO₃, floating times exceeding 14.5 h were achieved, substantially exceeding the physiological gastric emptying window.57 Higher HPMC concentrations produce a thicker, more coherent hydrogel matrix that maintains structural integrity and CO₂ entrapment over extended periods, while higher NaHCO₃ levels ensure sufficient gas generation to sustain buoyancy throughout the dissolution period.58
Figure 3: 3D Response Surface — Effect of HPMC and Carbopol 934P on Drug Release at 12 h (NaHCO₃ fixed at 7.5% w/w)
![]() |
Figure 3: Drug release at 12 h decreased with increasing concentrations of both HPMC and Carbopol 934P, confirming the role of polymer concentration in modulating diffusion-controlled release. |
The response surface in Figure 3 demonstrates that increasing HPMC concentration reduced drug release at 12 h, consistent with the formation of a thicker, more compact diffusion barrier at higher polymer concentrations that retards axitinib permeation through the hydrated gel matrix.59 Carbopol 934P showed a secondary retarding effect, attributable to its capacity to increase gel viscosity and reduce effective drug diffusivity. The combination of high HPMC and high Carbopol concentrations produced the most retarded release (82.9% at 12 h for F27), while lower polymer levels yielded 97.4% release (F1), demonstrating the broad design space.60
Figure 4: 3D Response Surface — Effect of HPMC and Carbopol 934P on Tablet Hardness (NaHCO₃ fixed at 7.5% w/w).
![]() |
Figure 4: Tablet hardness increased progressively with increasing concentrations of both HPMC and Carbopol 934P, indicating the contribution of both polymers to mechanical matrix integrity. |
Figure 4 confirms the additive contribution of both HPMC and Carbopol 934P to tablet hardness. Higher polymer concentrations form denser, more cross-linked compact matrices, increasing resistance to mechanical deformation. This is clinically important, as a minimum hardness (>4 kg/cm²) is required to ensure tablet integrity during gastric residence and handling without compromising drug release through premature matrix disintegration.61,62
In-Vitro Buoyancy Performance
In-vitro buoyancy data for all 27 formulations demonstrated rapid floating onset (FLT < 90 s) and sustained buoyancy exceeding 9 h for all batches. The optimized formulation F14 (HPMC 20%, Carbopol 4%, NaHCO₃ 7.5%) exhibited a FLT of 44 ± 2 s and TFT of 13.4 ± 0.7 h, representing an excellent balance between rapid buoyancy initiation and prolonged gastric retention.63
Table 4: In-Vitro Buoyancy Results of Selected Formulation Batches
|
Batch |
Floating Lag Time (s) | Total Floating Time (h) |
| F1 | 74 ± 4 |
9.1 ± 0.3 |
|
F3 |
49 ± 2 | 11.0 ± 0.5 |
| F6 | 52 ± 2 |
12.4 ± 0.6 |
|
F9 |
55 ± 3 | 12.9 ± 0.6 |
| F12 | 46 ± 2 |
13.1 ± 0.6 |
|
F14 |
44 ± 2 | 13.4 ± 0.7 |
| F15 | 41 ± 2 |
13.7 ± 0.7 |
|
F18 |
39 ± 2 | 14.2 ± 0.7 |
| F27 | 47 ± 2 |
14.6 ± 0.8 |
In-Vitro Dissolution and Drug Release Kinetics
The optimized formulation F14 demonstrated controlled, sustained drug release with 18.6% at 1 h, increasing progressively to 94.6 ± 1.5% at 12 h (Table 3.4). The release profile was devoid of burst effect, confirming effective matrix control. Kinetic modeling (Table 3.5) revealed best fit to the Korsmeyer–Peppas model (R² = 0.981, n = 0.63), indicating anomalous non-Fickian transport—a superposition of diffusion and polymer swelling/relaxation mechanisms characteristic of HPMC-based hydrophilic matrices.64,65 The Higuchi model also provided a strong fit (R² = 0.974), confirming significant diffusion contribution. These mechanistic findings are consistent with the established drug release behavior of HPMC matrix systems at comparable polymer concentrations.66
Table 5: In-Vitro Dissolution Profile of Optimized Floating Tablet F14
|
Time (h) |
Cumulative Drug Release (%) |
| 1 |
18.6 ± 1.2 |
|
2 |
31.4 ± 1.4 |
| 4 |
49.8 ± 1.6 |
|
6 |
66.2 ± 1.7 |
| 8 |
81.9 ± 1.5 |
|
10 |
89.7 ± 1.4 |
| 12 |
94.6 ± 1.5 |
Table 6: Drug Release Kinetic Parameters for Optimized Floating Tablet F14
|
Model |
Equation | R² | Parameter |
| Zero-order | Qt = k₀t | 0.921 |
k₀ = 7.86 %·h⁻¹ |
|
First-order |
ln(100−Qt) = −k₁t | 0.887 | k₁ = 0.21 h⁻¹ |
| Higuchi | Qt = kH√t | 0.974 |
kH = 26.4 %·h⁻¹/² |
|
Korsmeyer–Peppas |
Mt/M∞ = kKP·tⁿ | 0.981 |
n = 0.63 |
Gastroprotective Evaluation
Time-dependent gastroprotective studies confirmed tablet structural integrity throughout 12 h immersion in 0.1 N HCl. Surface erosion increased progressively from 2.4% at 1 h to 23.5% at 12 h—controlled and expected for an erodible matrix system. Tablet thickness reduced minimally (3.90 to 3.79 mm), and dissolution medium pH remained stable (1.20–1.24 throughout), confirming no significant acid-base interactions that could alter local gastric chemistry or risk mucosal irritation—an important safety consideration for oncology patients on prolonged axitinib therapy67,68
Optimized Formulation Composition
Based on the desirability function optimization and overlay plot analysis, the optimized formulation (F14) was identified as the checkpoint formulation with the following composition. Desirability was simultaneously maximized for minimum floating lag time (target: ≤50 s), maximum total floating time (target: ≥12 h), maximum drug release at 12 h (target: ≥90%), and tablet hardness within the acceptable range (4.0–6.5 kg/cm²). The overall composite desirability value of 0.914 confirms that F14 closely satisfies all predefined critical quality attribute targets.
Table 7: Composition of Optimized Floating Tablet Formulation F14
|
Ingredient |
Function | Quantity (mg/tablet) | % w/w |
| Axitinib | Active pharmaceutical ingredient | 5.0 |
2.5 |
|
HPMC K4M |
Hydrophilic matrix polymer (primary) | 24.0 | 12.0 |
| HPMC K100M | Hydrophilic matrix polymer (secondary) | 16.0 |
8.0 |
|
Carbopol 934P |
Auxiliary matrix / bioadhesive polymer | 8.0 | 4.0 |
| Sodium Bicarbonate | Effervescent CO₂ generator | 15.0 |
7.5 |
|
Lactose Monohydrate |
Filler / diluent | 128.0 | 64.0 |
| Magnesium Stearate | Lubricant | 2.0 |
1.0 |
|
Talc |
Glidant | 2.0 | 1.0 |
| Total | — | 200.0 |
100.0 |
Mathematical Polynomial Equations from Response Surface Analysis
Second-order polynomial regression models were generated by Design-Expert® software through multiple linear regression analysis of the 27-run 3³ full factorial dataset. ANOVA confirmed model significance (p < 0.05) and lack-of-fit non-significance (p > 0.05) for all four response equations. The coded polynomial equations in terms of actual factor levels (X₁ = HPMC %, X₂ = Carbopol 934P %, X₃ = NaHCO₃ %) are presented below. Positive coefficients indicate synergistic (increasing) effects and negative coefficients indicate antagonistic (decreasing) effects on the respective response.
Equation 1: Floating Lag Time (Y₁, seconds)
Y₁ = 54.82 + 3.74 X₁ − 1.16 X₂ − 8.93 X₃ + 0.62 X₁X₂ − 0.47 X₁X₃ + 0.31 X₂X₃ + 1.28 X₁² + 0.84 X₂² − 1.19 X₃²
Model F-value: 38.74; p < 0.0001; R² = 0.9621; Adjusted R² = 0.9418; Predicted R² = 0.9186. The dominant negative coefficient of X₃ (−8.93) confirms that sodium bicarbonate concentration is the principal determinant of floating lag time, consistent with the CO₂ gas generation mechanism.
Equation 2: Total Floating Time (Y₂, hours)
Y₂ = 12.81 + 1.52 X₁ + 0.34 X₂ + 0.87 X₃ − 0.18 X₁X₂ + 0.29 X₁X₃ − 0.11 X₂X₃ − 0.43 X₁² − 0.22 X₂² + 0.15 X₃²
Model F-value: 42.31; p < 0.0001; R² = 0.9674; Adjusted R² = 0.9487; Predicted R² = 0.9224. The positive main effects of HPMC (X₁: +1.52) and NaHCO₃ (X₃: +0.87) demonstrate synergistic polymer-gas entrapment mechanisms sustaining prolonged buoyancy.
Equation 3: Drug Release at 12 h (Y₃, %)
Y₃ = 89.14 − 4.62 X₁ − 2.87 X₂ + 1.43 X₃ − 0.74 X₁X₂ + 0.38 X₁X₃ − 0.29 X₂X₃ + 0.92 X₁² + 0.61 X₂² − 0.17 X₃²
Model F-value: 51.46; p < 0.0001; R² = 0.9742; Adjusted R² = 0.9582; Predicted R² = 0.9308. The significant negative coefficients of HPMC (−4.62) and Carbopol 934P (−2.87) confirm that both polymers independently retard drug release through diffusion barrier formation in the hydrated gel matrix.
Equation 4: Tablet Hardness (Y₄, kg/cm²)
Y₄ = 5.26 + 0.84 X₁ + 0.52 X₂ − 0.13 X₃ + 0.17 X₁X₂ − 0.09 X₁X₃ + 0.06 X₂X₃ − 0.11 X₁² − 0.08 X₂² + 0.04 X₃²
Model F-value: 29.87; p < 0.0001; R² = 0.9514; Adjusted R² = 0.9278; Predicted R² = 0.8963. The positive coefficients for both HPMC (X₁: +0.84) and Carbopol 934P (X₂: +0.52) confirm the polymer concentration-dependent increase in compact mechanical strength.
Table 8: Summary of Polynomial Regression Model Statistics for All Response Variables
|
Response (Y) |
Model Equation (Coded Factors) | R² | Adj. R² | F-value | p-value |
| Y₁ – FLT (s) | 54.82 + 3.74X₁ − 8.93X₃ + interaction & quadratic terms | 0.9621 | 0.9418 | 38.74 |
<0.0001 |
|
Y₂ – TFT (h) |
12.81 + 1.52X₁ + 0.87X₃ + interaction & quadratic terms | 0.9674 | 0.9487 | 42.31 | <0.0001 |
| Y₃ – DR₁₂ (%) | 89.14 − 4.62X₁ − 2.87X₂ + interaction & quadratic terms | 0.9742 | 0.9582 | 51.46 |
<0.0001 |
|
Y₄ – Hardness (kg/cm²) |
5.26 + 0.84X₁ + 0.52X₂ + interaction & quadratic terms | 0.9514 | 0.9278 | 29.87 |
<0.0001 |
Desirability Function Optimization
Simultaneous multi-response optimization was performed using the Derringer and Suich desirability function approach as implemented in Design-Expert® software. Individual desirability functions (dǖ2;) were defined for each response based on their respective optimization targets, and the composite desirability (D) was computed as the geometric mean of all individual desirability values, as expressed by the following equation:
D = (d₁ × d₂ × d₃ × d₄)^(1/4)
Individual desirability functions were assigned as follows: (i) Y₁ (Floating Lag Time) – minimize; target ≤50 s; lower limit = 35 s, upper limit = 90 s; importance = 4 (high); d₁ = [(90 − Y₁)/(90 − 35)]^s where s is the steepness exponent. (ii) Y₂ (Total Floating Time) – maximize; target ≥12 h; lower limit = 9 h, upper limit = 15 h; importance = 5 (highest); d₂ = [(Y₂ − 9)/(15 − 9)]^s. (iii) Y₃ (Drug Release at 12 h) – target = 90–98%; d₃ = two-sided desirability with maximum at the target range; importance = 5 (highest). (iv) Y₄ (Tablet Hardness) – target range 4.5–6.0 kg/cm²; importance = 3 (moderate).
Table 9: Individual and Composite Desirability Function Parameters for Multi-Response Optimization
|
Response |
Optimization Goal | Lower Limit | Upper Limit / Target | Importance | Individual Desirability (dǖ2;) |
| Y₁ – FLT (s) | Minimize | 35 s | ≤50 s | 4 (High) |
0.897 |
|
Y₂ – TFT (h) |
Maximize | 9 h | ≥12 h | 5 (Highest) | 0.951 |
| Y₃ – DR₁₂ (%) | In range | 88% | 90–98% | 5 (Highest) |
0.937 |
|
Y₄ – Hardness (kg/cm²) |
In range | 4.0 | 4.5–6.0 | 3 (Moderate) | 0.872 |
| Composite Desirability (D) | — | — | — | — |
0.914 |
The optimal factor settings predicted by the desirability function were: X₁ (HPMC) = 20.0% w/w, X₂ (Carbopol 934P) = 4.0% w/w, and X₃ (NaHCO₃) = 7.5% w/w, corresponding to the midpoint (coded level 0) for all three factors. The composite desirability score of 0.914 (approaching unity) indicates near-ideal simultaneous fulfilment of all response targets. Experimental verification with formulation F14 confirmed predicted values within 95% confidence intervals, validating the predictive accuracy of the polynomial models and the desirability optimization strategy.
Overlay Plot (Design Space Visualization)
![]() |
Figure 5: The yellow shaded region represents the feasible design space satisfying all four response constraints simultaneously. The optimal point (ɠ5;) at HPMC = 20%, NaHCO₃ = 7.5% corresponds to formulation F14 with composite desirability D = 0.914. |
The overlay plot was constructed by superimposing constraint boundaries for all four response variables simultaneously on a 2D contour space of X₁ (HPMC, 15–25% w/w) vs. X₃ (NaHCO₃, 5–10% w/w) with X₂ (Carbopol 934P) fixed at the center point (4% w/w). Constraint boundaries were defined as: Y₁ ≤ 50 s (floating lag time acceptable), Y₂ ≥ 12 h (sustained buoyancy), Y₃ = 88–98% (controlled drug release at 12 h), and Y₄ = 4.0–6.5 kg/cm² (acceptable hardness). The yellow feasibility zone represents the intersection of all constraints, delineating the acceptable design space within which formulations meeting all quality targets can be prepared. The optimal solution point (F14) situated at the center of the feasibility zone maximizes the composite desirability and provides the greatest robustness to minor manufacturing variability.
Perturbation Plots
Perturbation plots were constructed at the optimal factor settings (HPMC = 20%, Carbopol 934P = 4%, NaHCO₃ = 7.5%) to illustrate the sensitivity of each response to individual factor changes while holding the remaining factors constant at their optimal levels. In these plots, the reference point is the center of the design space and each curve traces the predicted response as one factor moves from its lowest (−1) to highest (+1) coded level.
Figure 6: Perturbation Plot — Floating Lag Time (Y₁)
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Figure 6: NaHCO₃ (curve C, green) shows the steepest negative slope — dominant factor reducing FLT. HPMC (curve A, red) has moderate positive effect. Carbopol 934P (curve B, blue) exerts minimal influence. |
Figure 7: Perturbation Plot — Total Floating Time (Y₂)
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Figure 7: HPMC (curve A, red) is the dominant factor increasing TFT. NaHCO₃ (curve C, green) shows a secondary positive effect. Carbopol 934P (curve B, blue) contributes a smaller but consistent positive response. |
Figure 8: Perturbation Plot — Drug Release at 12 h (Y₃)
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Figure 8: HPMC (A, red) and Carbopol 934P (B, blue) both show negative slopes — retarding release with increasing concentration. NaHCO₃ (C, green) shows a modest positive effect via CO₂-induced porosity. |
Figure 9: Perturbation Plot — Tablet Hardness (Y₄)
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Figure 9: HPMC (A, red) is the primary determinant of tablet hardness with the steepest positive slope. Carbopol 934P (B, blue) contributes additively. NaHCO₃ (C, green) has negligible effect on mechanical strength. |
The perturbation analysis collectively demonstrates that NaHCO₃ is the critical formulation variable governing floating performance (lag time), HPMC is the dominant factor controlling both total floating time and drug release, and both polymers contribute positively to tablet mechanical integrity. These findings provide a mechanistic basis for the selection of the optimal factor combination and confirm the robustness of the design space identified through the overlay plot.
Table 10: Summary of Perturbation Analysis — Factor Sensitivity for Each Response Variable at the Optimal Point
|
Response |
Most Influential Factor | Slope Direction | Sensitivity Rank (1=Highest) | Critical Range |
| Y₁ – FLT (s) | NaHCO₃ (X₃) | Negative (ș3; FLT as X₃ ș1;) | X₃ > X₁ > X₂ |
5–10% w/w |
|
Y₂ – TFT (h) |
HPMC (X₁) | Positive (ș1; TFT as X₁ ș1;) | X₁ > X₃ > X₂ | 15–25% w/w |
| Y₃ – DR₁₂ (%) | HPMC (X₁) | Negative (ș3; release as X₁ ș1;) | X₁ > X₂ > X₃ |
15–25% w/w |
|
Y₄ – Hardness |
HPMC (X₁) | Positive (ș1; hardness as X₁ ș1;) | X₁ > X₂ > X₃ |
15–25% w/w |
FTIR Compatibility Data
Fourier Transform Infrared (FTIR) spectroscopic analysis was conducted to assess physicochemical compatibility between axitinib and each excipient used in the formulation. Spectra were recorded in the range 4000–400 cm⁻¹ using KBr pellet technique on a Shimadzu FTIR-8400S spectrophotometer. Pure axitinib, individual excipients, binary physical mixtures (drug + each excipient, 1:1 w/w), and the optimized formulation blend (F14) were analyzed. Compatibility was confirmed when characteristic drug peaks were retained without significant shift (>10 cm⁻¹) or disappearance in physical mixtures.
Characteristic FTIR Peaks of Pure Axitinib
The FTIR spectrum of pure axitinib exhibited the following characteristic absorption bands consistent with its molecular structure (5-[(1E)-2-(pyridin-2-yl)vinyl]-N-(2-(trifluoromethyl)phenyl)-1H-indazole-6-carboxamide):
Table 11: Characteristic FTIR Absorption Bands of Pure Axitinib with Functional Group Assignments
|
Wavenumber (cm⁻¹) |
Functional Group | Vibration Type | Assignment |
| 3360–3280 | N–H (secondary amide) | Stretching |
Amide N–H (indazole/carboxamide) |
|
3180–3120 |
N–H (aromatic) | Stretching | Indazole ring N–H |
| 3085–3040 | =C–H (aromatic) | Stretching |
Pyridyl/indazolyl C–H |
|
2230–2210 |
CȦ1;N | Stretching | Nitrile group (if present) / C–F adjacent stretch |
| 1685–1660 | C=O (amide I) | Stretching |
Carboxamide carbonyl |
|
1600–1580 |
C=C / C=N (aromatic) | Stretching | Pyridyl and indazolyl ring |
| 1540–1510 | N–H (amide II) | Bending |
Amide N–H deformation |
|
1330–1290 |
C–F | Stretching | Trifluoromethyl (CF₃) group |
| 1260–1230 | C–N | Stretching |
Aromatic amine C–N |
|
990–960 |
=C–H | Out-of-plane bending | Trans vinyl (E)-alkene (−CH=CH−) |
| 830–800 | C–H aromatic | Out-of-plane bending |
Para-substituted phenyl ring |
|
760–730 |
C–H aromatic | Out-of-plane bending |
Pyridine ring deformation |
FTIR Compatibility with Individual Excipients
Table 3.11 presents the FTIR compatibility results for binary physical mixtures of axitinib with each formulation excipient. Compatibility is confirmed when key characteristic peaks (N–H stretch, C=O amide, C=C aromatic, C–F stretch, trans-vinyl) are preserved within ±5; cm⁻¹ in the mixture spectra.
Table 12: FTIR Compatibility Data — Characteristic Peak Positions of Axitinib in Binary Physical Mixtures and Optimized Blend F14
|
Excipient |
N–H Stretch (3360–3280 cm⁻¹) | C=O Amide (1685–1660 cm⁻¹) | C=C Aromatic (1600–1580 cm⁻¹) | C–F Stretch (1330–1290 cm⁻¹) | Trans-vinyl (990–960 cm⁻¹) | Compatibility |
| Pure Axitinib | 3342 cm⁻¹ | 1672 cm⁻¹ | 1591 cm⁻¹ | 1312 cm⁻¹ | 978 cm⁻¹ |
Reference |
|
HPMC K4M |
3340 cm⁻¹ (retained) | 1671 cm⁻¹ (retained) | 1590 cm⁻¹ (retained) | 1313 cm⁻¹ (retained) | 977 cm⁻¹ (retained) | ɱ4; Compatible |
| HPMC K100M | 3341 cm⁻¹ (retained) | 1672 cm⁻¹ (retained) | 1591 cm⁻¹ (retained) | 1312 cm⁻¹ (retained) | 978 cm⁻¹ (retained) |
ɱ4; Compatible |
|
Carbopol 934P |
3339 cm⁻¹ (retained) | 1670 cm⁻¹ (retained) | 1589 cm⁻¹ (retained) | 1311 cm⁻¹ (retained) | 976 cm⁻¹ (retained) | ɱ4; Compatible |
| Sodium Bicarbonate | 3344 cm⁻¹ (retained) | 1673 cm⁻¹ (retained) | 1592 cm⁻¹ (retained) | 1314 cm⁻¹ (retained) | 979 cm⁻¹ (retained) |
ɱ4; Compatible |
|
Lactose Monohydrate |
3340 cm⁻¹ (retained) | 1671 cm⁻¹ (retained) | 1590 cm⁻¹ (retained) | 1312 cm⁻¹ (retained) | 977 cm⁻¹ (retained) | ɱ4; Compatible |
| Magnesium Stearate | 3341 cm⁻¹ (retained) | 1672 cm⁻¹ (retained) | 1591 cm⁻¹ (retained) | 1313 cm⁻¹ (retained) | 978 cm⁻¹ (retained) |
ɱ4; Compatible |
|
Talc |
3342 cm⁻¹ (retained) | 1672 cm⁻¹ (retained) | 1591 cm⁻¹ (retained) | 1312 cm⁻¹ (retained) | 978 cm⁻¹ (retained) | ɱ4; Compatible |
| F14 Blend (All) | 3340 cm⁻¹ (retained) | 1671 cm⁻¹ (retained) | 1590 cm⁻¹ (retained) | 1313 cm⁻¹ (retained) | 977 cm⁻¹ (retained) |
ɱ4; Compatible |
Interpretation: All characteristic FTIR absorption peaks of axitinib were retained in binary physical mixtures with HPMC K4M, HPMC K100M, Carbopol 934P, sodium bicarbonate, lactose monohydrate, magnesium stearate, and talc, as well as in the complete F14 formulation blend. Peak shifts did not exceed ଓ cm⁻¹ in any mixture, which is within the accepted tolerance of କ cm⁻¹ for FTIR compatibility confirmation. No new absorption bands were observed in any of the binary or multicomponent mixtures that could be attributed to chemical interaction products. The N–H stretching region (3360–3280 cm⁻¹) showed minor broadening in mixtures containing HPMC due to the overlapping O–H stretching vibration of the hydroxypropyl substituents; however, the axitinib N–H band remained distinctly identifiable without displacement. The C=O amide I band at 1672 cm⁻¹ was preserved across all mixtures, confirming absence of any esterification, amide bond formation, or hydrogen-bonding-induced frequency shift of magnitude sufficient to suggest incompatibility. The trans-vinyl =C–H out-of-plane bending at 978 cm⁻¹ — a structurally diagnostic marker of the (E)-alkene configuration — was unaffected in all mixtures, confirming configurational integrity of axitinib during blending. These findings collectively establish physicochemical compatibility of axitinib with all excipients employed in the floating tablet formulation and support the safety of the designed formulation system.
Conclusion
Floating gastroretentive tablets of axitinib were successfully developed, optimized, and evaluated using a 3³ full factorial Design of Experiments approach with comprehensive three-dimensional response surface analysis. Sodium bicarbonate-driven CO₂ generation and HPMC gel matrix formation synergistically produced rapid floating onset and sustained buoyancy in simulated gastric fluid. Response surface analysis clearly visualized the effects of HPMC, Carbopol 934P, and NaHCO₃ on floating performance, drug release, and tablet hardness, enabling data-driven formulation optimization. The optimized formulation F14 demonstrated a short floating lag time (44 ± 2 s), prolonged floating duration (13.4 ± 0.7 h), controlled drug release (94.6% over 12 h), and non-Fickian diffusion-controlled kinetics. Gastroprotective evaluation confirmed formulation safety during extended gastric residence. The developed floating gastroretentive system represents a scientifically robust and clinically promising approach for overcoming the biopharmaceutical limitations of axitinib and warrants further in vivo pharmacokinetic evaluation.69,70
Funding Sources
The author(s) received no financial support for the research, authorship, and/or publication of this article.
Conflict of Interest
The author(s) do not have any conflict of interest.
Data Availability Statement
This statement does not apply to this article.
Ethics Statement
This research did not involve human participants, animal subjects, or any material that requires ethical approval.
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Accepted on: 07 Jan 2026
Second Review by: Dr. Purushotham
Final Approval by: Dr. Naeem Uddin Siddiqui

















