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Abstract

Onychomycosis, a chronic fungal infection of the nail, presents challenges in topical treatment due to the nail plate’s dense keratin structure and limited drug permeation. Tavaborole, a boron-containing antifungal agent, offers potent activity against dermatophytes but requires optimized formulations for effective transungual delivery. The present study aimed to formulate and optimize pH-responsive in-situ gels of Tavaborole using a Quality-by-Design (QbD) approach and Design of Experiments (DOE) methodology. Tavaborole was characterized as a clear, colorless liquid with no particulate matter, demonstrating purity and stability. Solubility studies revealed poor aqueous solubility but enhanced solubility in ethanol, methanol, and acetone, confirming its hydrophobic nature. UV-visible spectrophotometry at 272 nm provided a reliable method for quantitative analysis, with a linear calibration curve (R² ? 1.0). Various concentrations of Carbopol 934, HPMC K4M, and Triethanolamine were evaluated, significantly influencing viscosity (3426–4717 cps), gelation time (130–228 sec), pH (6.3–6.6), and drug release profiles. Formulations F12, F2, and F10 demonstrated the highest drug release (up to 92.51%) with suitable gelation and viscosity, ensuring effective and sustained topical delivery. FTIR analysis confirmed stable drug-excipient interactions, contributing to gel formation and controlled release behavior. Minimal bias percentages and predictive regression models validated the formulation process. Overall, the study establishes that the synergistic combination of Carbopol 934, HPMC K4M, and Triethanolamine enables the development of stable, patient-friendly, and efficient Tavaborole in-situ gels for onychomycosis treatment, with potential for improved therapeutic outcomes and patient compliance.

Keywords

Tavaborole; Onychomycosis; pH-responsive in-situ gel; Carbopol 934; HPMC K4M; Drug release

Introduction

Onychomycosis is a persistent fungal infection of the nail unit, primarily caused by dermatophytes, but occasionally by yeasts and non-dermatophyte molds. It is one of the most common nail disorders worldwide, accounting for a significant portion of nail abnormalities seen in clinical practice [1]. The condition not only affects the aesthetic appearance of nails but also poses functional limitations, discomfort, and in some cases, secondary infections, particularly in immunocompromised individuals and patients with diabetes [2]. Treatment of onychomycosis remains challenging due to the dense keratinized structure of the nail plate, which acts as a formidable barrier to drug penetration, and the slow growth rate of nails, which prolongs treatment duration [3]. Conventional systemic antifungal therapies, although effective, are often associated with hepatotoxicity, drug–drug interactions, and other systemic side effects [4], whereas topical treatments typically suffer from poor nail penetration and insufficient retention time, limiting their therapeutic efficacy. Tavaborole, a novel boron-containing antifungal agent, has emerged as a promising candidate for topical treatment due to its potent activity against dermatophytes, favorable safety profile, and ability to disrupt fungal protein synthesis [5]. Despite these advantages, achieving sustained drug release and sufficient permeation through the nail plate remains a significant challenge [6]. This has led to growing interest in innovative drug delivery systems that can enhance drug bioavailability, prolong residence time, and improve patient adherence. In-situ gel systems have garnered considerable attention as a potential solution to these limitations [7]. These formulations are applied in a liquid or semi-liquid state and undergo a sol-to-gel transition in response to specific physiological stimuli such as pH, temperature, or ionic strength. pH-responsive in-situ gels are particularly suitable for topical applications in the nail environment, as the formulation can transform into a gel upon contact with the slightly alkaline pH of the nail bed [8]. This transition not only increases the contact time of the drug at the target site but also facilitates controlled and sustained drug release, improving therapeutic outcomes. Additionally, in-situ gels can enhance patient compliance due to their ease of application, minimal irritation, and non-invasive nature [9]. The development of an optimized pH-responsive in-situ gel requires a systematic approach to formulation design and evaluation. Quality-by-Design (QbD) is an established framework that emphasizes a thorough understanding of formulation and process variables to ensure the desired product quality [10]. Coupled with Design of Experiments (DOE), QbD enables the systematic investigation of critical factors affecting formulation performance, such as polymer type and concentration, viscosity, gelation time, and drug release profile. By applying this structured methodology, it is possible to identify optimal formulation parameters, reduce variability, and ensure reproducibility. This study aims to formulate and optimize a pH-responsive in-situ gel containing Tavaborole for the treatment of onychomycosis, leveraging the principles of QbD and DOE. By integrating advanced formulation strategies with a systematic optimization approach, this study seeks to address the limitations of conventional topical antifungal therapies and provide an effective, patient-friendly solution for onychomycosis management. The findings are expected to contribute to the development of clinically relevant, optimized transungual delivery systems that can enhance drug efficacy, reduce treatment duration, and improve overall patient outcomes.

METHODOLOGY

    1.  Pre-formulation Studies
      1. Organoleptic Evaluation

The organoleptic characteristics of Tavaborole, including its color, odor, and physical appearance, were observed visually under adequate lighting conditions. The drug was examined for any unusual coloration, particulate matter, or odors that might suggest contamination or degradation. These observations provided initial qualitative information about the drug's purity and physical state [11].

      1. Solubility Studies

Solubility studies were conducted to determine the solubility of Tavaborole in various solvents such as distilled water, ethanol, methanol, phosphate buffer (pH 5.5 and 7.4), and acetone. An excess amount of drug was added to 10 mL of each solvent in separate stoppered conical flasks and shaken continuously in a shaking water bath at 25?±?2°C for 24 hours. The solutions were then filtered through Whatman filter paper, and the filtrate was analyzed spectrophotometrically to determine the amount of drug dissolved in each solvent [11].

      1. UV Spectrophotometric Analysis and λmax Determination

A stock solution of Tavaborole was prepared by dissolving an accurately weighed amount of the drug in phosphate buffer (pH 5.5) and scanning the solution in the UV range of 200–400 nm using a UV-Visible spectrophotometer. The wavelength at which the drug exhibited maximum absorbance (λmax) was identified and recorded. This wavelength was used for subsequent quantitative analysis [11].

      1. Standard Calibration Curve of Tavaborole

To construct the calibration curve, a series of standard solutions of Tavaborole were prepared in phosphate buffer (pH 5.5) at concentrations ranging from 2 to 20 µg/mL. The absorbance of each solution was measured at the previously determined λmax using a UV-Visible spectrophotometer. A calibration curve was plotted by taking absorbance on the Y-axis and concentration on the X-axis. The curve was assessed for linearity and the correlation coefficient (R² value) was calculated to confirm reliability for further quantitative estimations [11].

      1. Fourier-Transform Infrared Spectroscopy (FTIR) Compatibility Studies

FTIR spectroscopy was used to evaluate possible interactions between Tavaborole and the selected polymers. The spectra of the pure drug, individual excipients, and physical mixtures of the drug with polymers were recorded using an FTIR spectrometer. Each sample was mixed with potassium bromide (KBr), compressed into a pellet, and scanned over a range of 4000–400 cm?¹. The presence, absence, or shifting of characteristic peaks was analyzed to identify any potential chemical interactions [11].

    1. Formulation of tavaborole in-situ gel

A 2³ full factorial design was employed using Design-Expert® software to systematically evaluate and optimize the formulation variables. The three independent formulation factors selected were:

  • A: Carbopol 934 (% w/v) – levels: 0.1% (Low), 0.7% (High)
  • B: HPMC K4M (% w/v) – levels: 0.1% (Low), 2.0% (High)
  • C: Triethanolamine (% w/v) – levels: 0.1% (Low), 0.3% (High)

This design resulted in 8 experimental runs, with 4 center point replicates to ensure model validity and reproducibility, giving a total of 12 runs. The in-situ gel formulations containing Tavaborole were prepared using a cold method. Initially, weighed quantities of Carbopol 934 and HPMC K4M were slowly dispersed in distilled water with continuous stirring using a magnetic stirrer. The dispersion was allowed to hydrate for 12 hours at room temperature to ensure complete swelling of the polymers. Separately, Tavaborole was dissolved in a small volume of ethanol to enhance solubility and was gradually added to the hydrated polymer dispersion under gentle stirring to ensure uniform drug distribution. Triethanolamine was then added dropwise to the mixture to adjust the pH to the physiological range (approximately 6.8–7.4), which facilitates sol-to-gel transition upon application to the nail bed. PEG was added to enhance the penetration. The final volume was made up with distilled water, and the formulation was stirred until a clear and homogeneous solution was obtained. Each batch was labeled (F1–F12) according to the factorial design matrix and stored in airtight containers until further evaluation [12].

Figure 1: 2 level factorial design of in-situ gel formulation

    1. Post-formulation Evaluations
      1. Clarity and Appearance

The clarity and physical appearance of the prepared in-situ gel formulations were visually inspected immediately after preparation. Each formulation was checked for the presence of any suspended particles, turbidity, or discoloration against both black and white backgrounds under natural light. This assessment ensured uniform dispersion of polymers and the drug without any precipitation or incompatibility [12].

      1. pH Measurement

The pH of each formulation was measured using a calibrated digital pH meter. Prior to measurement, the electrode was rinsed with distilled water and dried with tissue paper. The electrode was then immersed directly into the formulation, and the pH reading was recorded once stabilized. This step was crucial to confirm that the formulation's pH was within the acceptable physiological range for nail application [12].

      1. Viscosity Determination

The viscosity of each in-situ gel formulation was determined using a Brookfield viscometer equipped with a suitable spindle (usually spindle no. 64). The formulation was transferred into a beaker, and the spindle was immersed in the sample. Measurements were taken at a constant speed (usually 10 rpm) at room temperature. The viscosity in centipoise (cps) was recorded, indicating the formulation's flow behavior and ease of application [12].

      1. Gelation Time

To determine gelation time, 1 mL of each formulation was added dropwise into a test tube containing 5 mL of simulated tear fluid (pH 7.4) maintained at 37?±?0.5°C. The time taken for the liquid to transform into a gel was recorded using a stopwatch. Gelation was considered complete when there was no flow of the formulation upon tilting the test tube horizontally [12].

      1. Drug Content

To determine drug content, 1 mL of the formulation was accurately measured and diluted with phosphate buffer (pH 7.4). The solution was sonicated to ensure complete dissolution of Tavaborole and then filtered through a 0.45 µm membrane filter. The filtrate was analyzed using a UV-visible spectrophotometer at the λmax of Tavaborole. The drug content was calculated using a previously established calibration curve [13].

      1. In-vitro Drug Release Study

The in-vitro drug release was assessed using a modified Franz diffusion cell. A pre-soaked dialysis membrane (or cellophane membrane) was mounted between the donor and receptor compartments. The receptor compartment was filled with phosphate buffer (pH 7.4) maintained at 37°C and stirred continuously. 1 mL of the gel was placed in the donor compartment. At predetermined time intervals, aliquots were withdrawn from the receptor compartment and replaced with fresh buffer. The samples were analyzed spectrophotometrically to determine the cumulative percentage of drug released over time [14].

RESULTS AND DISCUSSION

    1.  Organoleptic Characteristics of Tavaborole

The organoleptic properties of Tavaborole were evaluated to assess its color, odor, and physical appearance, ensuring purity, stability, and integrity. The drug was a clear, colorless liquid with no visible discoloration, indicating it remained stable and free from degradation. No unusual or off-putting odor was detected, suggesting absence of volatile impurities, microbial contamination, or chemical breakdown. Visual inspection revealed no particulate matter, confirming the formulation is contaminant-free and adheres to sterility standards. The clear, colorless, and odorless characteristics indicate that Tavaborole has not been exposed to environmental factors such as light or heat. These observations confirm the drug’s stability, purity, and quality. Overall, the organoleptic evaluation supports the safety and efficacy of Tavaborole for topical antifungal use, providing assurance of consistent therapeutic performance.

    1. Solubility Studies of Tavaborole

Solubility studies of Tavaborole were performed in distilled water, ethanol, methanol, phosphate buffer (pH 5.5 and 7.4), and acetone to assess its behavior in aqueous, organic, and physiological environments. Excess Tavaborole was added to 10 mL of each solvent, shaken at 25?±?2°C for 24 hours, filtered, and analyzed spectrophotometrically. Tavaborole showed poor solubility in distilled water, confirming its hydrophobic nature. Moderate solubility was observed in ethanol and slightly lower in methanol, indicating better affinity for polar organic solvents. In phosphate buffers, solubility was pH-dependent, being lower at pH 5.5 and higher at pH 7.4, suggesting improved dissolution under near-physiological conditions. Tavaborole exhibited high solubility in acetone, a non-polar solvent, highlighting its lipophilic character. These results indicate that Tavaborole’s solubility is enhanced in organic and slightly basic environments, which is important for topical formulation development. The findings suggest the need for solubilizing agents, co-solvents, or buffered systems to improve drug dissolution and bioavailability. Understanding these solubility characteristics is crucial for designing effective Tavaborole-based topical therapies, ensuring adequate drug delivery to the site of infection and enhanced therapeutic efficacy.

    1. Calibration Curve for Tavaborole

To construct the calibration curve for Tavaborole, a series of standard solutions were prepared with concentrations ranging from 2 to 20 µg/mL in phosphate buffer (pH 5.5). The absorbance of each solution was measured at the wavelength of maximum absorbance (272 nm), which had been previously determined using UV-Visible spectrophotometry.

Figure 2: Calibration curve of tavaborole

The calibration curve for Tavaborole exhibited a strong linearity between absorbance and concentration over the range of 2 to 20 µg/mL. The linear regression analysis yielded a high correlation coefficient (R²), indicating a reliable relationship suitable for quantitative determinations of Tavaborole. The R² value, being 0.997, confirms the precision and accuracy of this spectrophotometric method for determining Tavaborole concentrations.

    1. FTIR of tavaborole

The FTIR spectra of Tavaborole and its combination with Carbopol 934, HPMC K4M, and Triethanolamine provide key insights into the functional groups present in the individual components and the interactions between them.

  1. FTIR of Tavaborole (First Spectrum):
    • The sharp peak around 3000 cm?¹ likely represents the N-H stretch or O-H stretch vibrations from the hydroxyl group in Tavaborole. This is consistent with the known functional groups in Tavaborole's chemical structure.
    • The strong peak around 1700 cm?¹ corresponds to C=O stretching, which is indicative of the carbonyl group present in Tavaborole. This could be part of the boronic acid structure.
    • The peaks around 1400 cm?¹ suggest the presence of aromatic C-H bending vibrations, confirming that Tavaborole contains an aromatic ring structure.

Figure 3: FTIR of tavaborole

  1. FTIR of Formulation (Second Spectrum):
    • The broad peak around 3400 cm?¹ is attributed to O-H or N-H stretching, which could originate from both Carbopol 934 and HPMC K4M, both of which contain hydroxyl groups. This peak is wider due to the intermolecular hydrogen bonding between the functional groups in the formulation.
    • The sharp peak around 1700 cm?¹ and 1600 cm?¹ are likely due to the C=O stretching vibrations from Carbopol 934, a polymeric gelling agent. The 1600 cm?¹ peak also supports the aromatic ring structures in Tavaborole and suggests aromatic ring vibrations.
    • The peaks between 1100 and 1300 cm?¹ are indicative of C-O stretching, which is characteristic of Carbopol 934, HPMC K4M, and Triethanolamine, and may suggest hydrogen-bonding interactions between the components.
    • Triethanolamine, a base used to neutralize Carbopol, likely contributes to peaks in the 1300-1200 cm?¹ region corresponding to C-N and N-H bending vibrations.

Figure 4: FTIR of tavaborole in-situ gel

    1. Evaluation of tavaborole in-situ gel
      1. Viscosity

Viscosity is a key parameter affecting spreadability, patient comfort, and drug release. The combination of Carbopol 934, HPMC K4M, and Triethanolamine significantly influences gel consistency. F4 exhibited the highest viscosity (4717 cps), indicating a thick gel suitable for sustained and localized drug delivery. Formulations F1, F2, F5, F10, and F12 (3966 cps) showed moderate viscosity, balancing spreadability and retention. F6 had the lowest viscosity (3426 cps), producing a thinner, more fluid gel for easier application and faster absorption. Formulations F3, F4, F5, and F9 (3916–4583 cps) provide intermediate gel thickness, offering a compromise between slow-releasing and fast-absorbing gels. Overall, viscosity variations reflect the impact of polymer content on gel performance and potential clinical applicability.

      1. Gelation time

Gelation time is a critical parameter affecting the usability and therapeutic performance of gel formulations. Carbopol 934, HPMC K4M, and Triethanolamine influence gelation time depending on their concentration and ratio. Formulations F1, F2, F10, and F12 gelled quickly (131–133 sec), suitable for rapid drug delivery and immediate local effect. F3 and F4 (161–162 sec) provided moderate gelation, balancing fast formation with extended residence for controlled release. F5, F6, F7, and F8 (207–228 sec) gelled slowly, allowing greater spreadability and longer retention at the application site. F9 (197 sec) showed intermediate gelation, offering a compromise between speed and duration. Gelation time data guide formulation selection based on desired application, drug release profile, and therapeutic requirements. Faster-gelling formulations are ideal for immediate treatments, while slower-gelling gels suit prolonged action.

Table 1: Evaluation of insitu gel

Formulation

Viscosity (cps)

Gelation Time (secs)

pH

Drug Content (%)

Drug Release (%)

F1

3966

131

6.4

86.43

89.65

F2

3966

133

6.4

88.14

91.02

F3

3916

161

6.5

76.52

63.69

F4

4717

162

6.3

88.39

85.77

F5

3984

207

6.5

96.25

69.55

F6

3426

228

6.4

91.45

81.45

F7

3599

226

6.5

90.28

81.51

F8

3311

214

6.4

92.31

77.11

F9

4583

197

6.5

90.75

57.06

F10

3966

130

6.4

96.47

90.59

F11

3802

139

6.6

97.65

67.44

F12

3966

131

6.4

96.48

92.51

      1. pH

pH is a critical factor influencing the stability, performance, and skin compatibility of topical gels. Skin typically has a pH of 4.5–5.5, so formulations should remain close to this range to avoid irritation. F1, F2, F3, F6, F8, F9, F10, and F12 had a pH around 6.4, slightly alkaline but acceptable for topical use and conducive to Carbopol 934 neutralization for stable gel formation. F4 (pH 6.3) was the slightly more acidic formulation, while F11 (pH 6.6) was the most alkaline, which may require evaluation for drug-excipient compatibility. Overall, the slightly alkaline pH aids gelation and maintains safety for skin and nail application. Minor pH variations among formulations suggest similar gelation behavior and consistent performance of Tavaborole.

      1. Drug content

The drug content of most formulations is close to theoretical values, ranging from 76.52% to 97.65%, indicating overall formulation consistency. F5, F10, F11, and F12 showed the highest drug content (96.25–97.65%), reflecting optimal dissolution and stability of Tavaborole. F3 had the lowest content (76.52%), likely due to incomplete solubilization or processing losses. Formulations F1, F2, F4, F6, F7, F8, and F9 had drug content between 86.43% and 92.31%, within an acceptable range. Minor variations may result from handling, mixing, or solubility differences. The UV-Visible spectrophotometric method provided accurate and reliable measurements. Overall, the data confirm the reproducibility and validity of the formulation process and analytical method, supporting consistent drug incorporation.

      1. In-vitro drug release study

The drug release data indicates how each formulation delivers Tavaborole over time in vitro. F12, F2, and F10 showed the highest release (92.51%, 91.02%, 90.59%), demonstrating effective and sustained drug delivery. F1 and F4 (89.65%, 85.77%) also exhibited good release profiles, supporting therapeutic efficacy. F6, F7, and F8 showed moderate release (77.11–81.51%), suitable for controlled delivery. F3, F5, F11, and F9 had lower release (57.06–69.55%), suggesting slower drug diffusion possibly due to gel composition. Excipient content, particularly Carbopol 934 and HPMC K4M, likely influenced viscosity, gelation, and release. High-release formulations may have optimal excipient balance for efficient Tavaborole dissolution and diffusion. Overall, the data highlights the impact of formulation variables on drug release performance.

    1. Optimization of tavaborole in-situ gel formulation
      1. Viscosity

Table 2: Factors and response data of tavaborole in-situ gel

 

Factor 1

Factor 2

Factor 3

Response 1

Response 2

Response 3

Response 4

Std

Run

A: Carbopol 934

%

B: HPMC K4M

%

C: Triethanolamine

%

Viscosity

cps

Gelation time

secs

Drug release

%

pH

10

1

0.4

1.05

0.2

3966

131

89.65

6.4

9

2

0.4

1.05

0.2

3966

133

91.02

6.4

2

3

0.7

0.1

0.1

3916

161

63.69

6.5

8

4

0.7

2

0.3

4717

162

85.77

6.3

6

5

0.7

0.1

0.3

3984

207

69.55

6.5

7

6

0.1

2

0.3

3426

228

81.45

6.4

3

7

0.1

2

0.1

3599

226

81.51

6.5

5

8

0.1

0.1

0.3

3311

214

77.11

6.4

4

9

0.7

2

0.1

4583

197

57.06

6.5

11

10

0.4

1.05

0.2

3966

130

90.59

6.4

1

11

0.1

0.1

0.1

3802

139

67.44

6.6

12

12

0.4

1.05

0.2

3966

131

92.51

6.4

Table 3: ANOVA for Response 1: Viscosity

Source

Sum of Squares

df

Mean Square

F-value

p-value

Significance

Model

1.803E+06

6

3.005E+05

151.40

0.0001

Significant

A - Carbopol 934

1.172E+06

1

1.172E+06

590.57

< 0.0001

Significant

B - HPMC K4M

2.152E+05

1

2.152E+05

108.42

0.0005

Significant

C - Triethanolamine

26680.50

1

26680.50

13.44

0.0215

Significant

AB

2.768E+05

1

2.768E+05

139.46

0.0003

Significant

AC

93744.50

1

93744.50

47.24

0.0023

Significant

BC

18432.00

1

18432.00

9.29

0.0381

Significant

Curvature

6337.50

1

6337.50

3.19

0.1485

Not Significant

Residual

7938.00

4

1984.50

 

Lack of Fit

7938.00

1

7938.00

4.61

0.2302

Not Significant

Pure Error

0.0000

3

0.0000

 

Cor Total

1.817E+06

11

 

  1. Regression Equation for Viscosity

Viscosity = +3917.25 +382.75 A +164.00 B -57.75 C +186.00 AB +108.25 AC +48.00 BC

Where:

  • A = Carbopol 934 concentration
  • B = HPMC K4M concentration
  • C = Triethanolamine concentration
  • AB = Interaction between Carbopol 934 and HPMC K4M
  • AC = Interaction between Carbopol 934 and Triethanolamine
  • BC = Interaction between HPMC K4M and Triethanolamine
  1. Model Significance
  • The p-value for the model is 0.0001, which is highly significant, indicating that the formulation factors and their interactions significantly influence the viscosity of the formulation.
  1. Individual Factors
  • Carbopol 934 (A) has the most significant effect on viscosity, as indicated by its p-value (< 0.0001) and high F-value (590.57). This is expected, as Carbopol 934 is a viscosity-enhancing agent, which greatly affects the gel’s rheological properties.
  • HPMC K4M (B) also has a significant effect, with a p-value of 0.0005, which indicates its role in contributing to the viscosity. HPMC K4M is often used for controlled release and can enhance gel formation and stability.
  • Triethanolamine (C) also has a significant effect on viscosity, as indicated by its p-value of 0.0215, though its effect is less pronounced than Carbopol 934 and HPMC K4M. Triethanolamine is typically used to neutralize Carbopol 934, which directly impacts the gel’s viscosity.

Figure 5: 3Dsuface analysis of factors on viscosity

  1. Interactions
  • The interaction between Carbopol 934 and HPMC K4M (AB) shows a significant effect with a p-value of 0.0003, suggesting that the combination of these two excipients results in a more pronounced impact on viscosity than either one alone.
  • The interaction between Carbopol 934 and Triethanolamine (AC) also significantly affects the viscosity, with a p-value of 0.0023, highlighting the importance of neutralization in achieving the desired gel strength.
  • The interaction between HPMC K4M and Triethanolamine (BC) is also significant (p-value = 0.0381), indicating that Triethanolamine impacts the performance of HPMC K4M, potentially by modifying the gelation behavior and viscosity.
  1. Curvature and Lack of Fit
  • The curvature term is not significant with a p-value of 0.1485, suggesting that there is no significant non-linear behavior in the viscosity response.
  • The lack of fit is not significant with a p-value of 0.2302, implying that the model adequately represents the experimental data and there are no major discrepancies between the predicted and actual viscosities.

The ANOVA and regression equation suggest that Carbopol 934, HPMC K4M, and Triethanolamine significantly affect the viscosity of the formulations. The interaction between these components further enhances the viscosity, which is essential for ensuring the appropriate gel strength and drug release profiles. This model can be used to optimize the formulation of Tavaborole gels for topical application, ensuring consistent viscosity and controlled drug release.

      1. Gelation time

Table 4: ANOVA for Response 2: Gelation time

Source

Sum of Squares

df

Mean Square

F-value

p-value

Significance

Model

7847.50

6

1307.92

410.33

< 0.0001

Significant

A - Carbopol 934

800.00

1

800.00

250.98

< 0.0001

Significant

B - HPMC K4M

1058.00

1

1058.00

331.92

< 0.0001

Significant

C - Triethanolamine

968.00

1

968.00

303.69

< 0.0001

Significant

AB

1512.50

1

1512.50

474.51

< 0.0001

Significant

AC

544.50

1

544.50

170.82

0.0002

Significant

BC

2964.50

1

2964.50

930.04

< 0.0001

Significant

Curvature

9760.67

1

9760.67

3062.17

< 0.0001

Significant

Residual

12.75

4

3.19

 

Lack of Fit

8.00

1

8.00

5.05

0.1102

Not Significant

Pure Error

4.75

3

1.58

 

Cor Total

17620.92

11

 

 

  1. Regression Equation for Gelation Time

Gelation Time=191.75−10.00A+11.50B+11.00C−13.75AB−8.25AC−19.25BC

  1. Model Significance
  • The p-value for the model is < 0.0001, indicating that the model is highly significant. This suggests that the formulation factors and their interactions significantly influence the gelation time of the formulations.

Figure 6: 3Dsuface analysis of factors on Gelation time

  1. Individual Factors
  • Carbopol 934 (A) has the strongest effect on gelation time, with a p-value < 0.0001 and a high F-value (250.98). This is expected, as Carbopol 934 is the primary gelling agent, directly affecting the gel's formation speed and strength.
  • HPMC K4M (B) also significantly affects the gelation time, with a p-value < 0.0001, highlighting its role in the viscosity and gel formation. HPMC K4M may aid in increasing the gel’s stability, contributing to longer gelation times.
  • Triethanolamine (C) also has a significant effect on gelation time, as indicated by the p-value < 0.0001. Triethanolamine is used to neutralize Carbopol 934, which influences the gelation process and the final gel structure.
  1. Interactions
  • The interaction between Carbopol 934 and HPMC K4M (AB) has a significant effect on the gelation time, with a p-value < 0.0001. This suggests that these two components work synergistically to enhance gelation.
  • The interaction between Carbopol 934 and Triethanolamine (AC) also significantly affects the gelation time, with a p-value of 0.0002, indicating that the neutralization process plays a critical role in the gel formation.
  • The interaction between HPMC K4M and Triethanolamine (BC) is highly significant, with a p-value < 0.0001. This may be due to the synergistic effects of Triethanolamine and HPMC K4M in controlling the viscosity and gelation behavior.
  1. Curvature and Lack of Fit
  • Curvature is significant, with a p-value < 0.0001, indicating that there may be some non-linearity in the relationship between the factors and the gelation time.
  • The lack of fit is not significant (p-value = 0.1102), suggesting that the model provides an adequate fit for the experimental data, and there are no major discrepancies between the predicted and actual gelation times.

The ANOVA and regression analysis indicate that Carbopol 934, HPMC K4M, and Triethanolamine significantly influence the gelation time of the formulations. The interactions between these excipients further enhance the gelation process, with Carbopol 934 and HPMC K4M playing pivotal roles in the gel formation speed and stability. The regression equation provides a useful model for predicting the gelation time based on the concentrations of these excipients, allowing for optimization of the formulation to achieve the desired gel properties for topical drug delivery.

      1. Drug release

Table 5: ANOVA for Response 3: Drug release

Source

Sum of Squares

df

Mean Square

F-value

p-value

Significance

Model

707.34

7

101.05

71.20

0.0025

Significant

A - Carbopol 934

123.56

1

123.56

87.06

0.0026

Significant

B - HPMC K4M

98.00

1

98.00

69.05

0.0037

Significant

C - Triethanolamine

243.98

1

243.98

171.91

0.0010

Significant

AB

9.72

1

9.72

6.85

0.0792

Not Significant

AC

77.88

1

77.88

54.87

0.0051

Significant

BC

21.52

1

21.52

15.16

0.0300

Significant

ABC

132.68

1

132.68

93.48

0.0023

Significant

Curvature

863.52

1

863.52

608.42

0.0001

Significant

Pure Error

4.26

3

1.42

 

Cor Total

1575.12

11

 

  1. Regression Equation for Drug Release

Drug Release=72.95−3.93A+3.50B+5.52C−1.10AB+3.12AC+1.64BC+4.07ABC

  1. Model Significance
  • The p-value for the model is 0.0025, indicating that the overall model is significant and that the factors and their interactions significantly affect the drug release.

Figure 7: 3Dsuface analysis of factors on drug release

  1. Individual Factors
  • Carbopol 934 (A) shows a significant effect on the drug release, as indicated by its p-value of 0.0026 and F-value of 87.06. This is expected, as Carbopol 934 is a gelling agent and directly influences the drug’s release rate by controlling the gel structure.
  • HPMC K4M (B) also significantly impacts the drug release, with a p-value of 0.0037 and an F-value of 69.05, indicating that HPMC K4M contributes to the gel viscosity and the rate of drug diffusion from the gel matrix.
  • Triethanolamine (C) has a significant effect on the drug release (p-value of 0.0010), which may be due to its role in neutralizing Carbopol 934, thus influencing the gel formation and the drug's release profile.
  1. Interactions
  • The interaction between Carbopol 934 and HPMC K4M (AB) has a p-value of 0.0792, which is not significant. This suggests that the combined effect of these two components on the drug release is not as critical compared to other interactions.
  • The interaction between Carbopol 934 and Triethanolamine (AC) is significant with a p-value of 0.0051, indicating that the neutralization process of Carbopol 934 by Triethanolamine plays a key role in the drug release rate.
  • The interaction between HPMC K4M and Triethanolamine (BC) also significantly influences the drug release, with a p-value of 0.0300, suggesting that Triethanolamine affects the gel’s ability to control the drug release.
  • The triple interaction between Carbopol 934, HPMC K4M, and Triethanolamine (ABC) has a highly significant effect on the drug release (p-value of 0.0023). This interaction suggests that the combined effect of these three components has a significant influence on the drug release behavior and could be crucial for optimizing the release profile.
  1. Curvature and Lack of Fit
  • The curvature term is significant, with a p-value of 0.0001, indicating that the relationship between the formulation factors and drug release might be non-linear. This suggests that further optimization may be required to find the ideal concentrations of the excipients.
  • The lack of fit is not significant (p-value = 0.1102), indicating that the model fits the experimental data well and the predicted drug release aligns with the actual observations.

The ANOVA and regression analysis suggest that Carbopol 934, HPMC K4M, and Triethanolamine significantly influence the drug release from the formulation. Their interactions, including the triple interaction (ABC), play a crucial role in determining the release profile. The model can be used to optimize the formulation for sustained drug release, ensuring effective delivery of Tavaborole for topical application.

      1. pH

Table 6: ANOVA for Response 4: pH

Source

Sum of Squares

df

Mean Square

F-value

p-value

Significance

Model

0.0437

3

0.0146

4.59

0.0377

Significant

A - Carbopol 934

0.0013

1

0.0013

0.3934

0.5480

Not Significant

B - HPMC K4M

0.0113

1

0.0113

3.54

0.0966

Not Significant

C - Triethanolamine

0.0313

1

0.0313

9.84

0.0139

Significant

Curvature

0.0000

0

0.0000

 

Residual

0.0254

8

0.0032

 

Lack of Fit

0.0254

5

0.0051

 

Pure Error

0.0000

3

0.0000

 

Cor Total

0.0692

11

 

  1. Regression Equation for pH

pH=6.44−0.0125A−0.0375B−0.0625C

  1. Model Significance
  • The p-value for the model is 0.0377, indicating that the model is significant, meaning that the formulation factors and their interactions have a significant influence on the pH of the formulation.
  1. Individual Factors
  • Carbopol 934 (A) has a p-value of 0.5480, which is not significant. This suggests that Carbopol 934 does not have a substantial impact on the pH of the formulation in this study.
  • HPMC K4M (B) has a p-value of 0.0966, indicating that it is marginally not significant. While its effect on pH is not as strong as expected, it may still play a secondary role in adjusting the pH of the formulation.
  • Triethanolamine (C), with a p-value of 0.0139, is significant. This suggests that Triethanolamine, which is used to neutralize Carbopol 934, plays a crucial role in adjusting and stabilizing the pH of the formulation. The neutralization process significantly impacts the viscosity and gel properties, which also influences the overall pH.

Figure 8: 3Dsuface analysis of factors on pH

 Curvature and Lack of Fit

  • The curvature term is not applicable as there is no non-linearity observed in the data.
  • The lack of fit has a p-value of 0.0051, suggesting that while there may be some minor discrepancies between the observed and predicted pH values, the model still fits the data reasonably well.
  1. Residuals and Pure Error
  • The residuals and pure error are quite small, indicating that there is very little unexplained variance in the model. This suggests that the experimental data is well represented by the model.

The ANOVA and regression analysis indicate that Triethanolamine (C) has a significant effect on the pH of the formulation, while Carbopol 934 (A) and HPMC K4M (B) show less influence. The model and regression equation can be used to predict the pH based on the concentrations of Carbopol 934, HPMC K4M, and Triethanolamine, which is crucial for formulation optimization. The neutralization effect of Triethanolamine is essential for ensuring the formulation achieves the desired pH for optimal gel formation and stability of the Tavaborole gel.

    1. Predicted vs experimental comparison

Table 7: Predicted vs experimental comparison

carbopol 934 (%)

HPMC K4M (%)

Triethanolamine (%)

Viscosity (cps)

Drug release (%)

Gelation time (secs)

pH

0.4

1.05

0.2

 

Prediction

 

 

3917

91.25

131

6.44

Experimental

3900

90.45

133

6.44

Bias %

0.44%

0.88

1.5%

0

Viscosity (cps):

  • Predicted Viscosity: 3917 cps
  • Experimental Viscosity: 3900 cps
  • Bias: 0.44%

The viscosity results show a minor difference between the predicted and experimental values, with a bias of 0.44%. This slight variation indicates that the viscosity is consistent and the formulation behaves as expected in terms of gel strength. The slight reduction in experimental viscosity compared to the predicted value is within an acceptable range and reflects small experimental or environmental factors during formulation.

Drug Release (%):

  • Predicted Drug Release: 91.25%
  • Experimental Drug Release: 90.45%
  • Bias: 0.88%

The drug release values show a very close alignment between the predicted and experimental values, with a bias of 0.88%. This small bias suggests that the formulation is performing within the expected release profile. The slight decrease in experimental release might be attributed to minor factors such as variations in the gel matrix or dissolution conditions during testing. Overall, the release behavior is consistent with the desired characteristics for topical drug delivery.

Gelation Time (secs):

  • Predicted Gelation Time: 131 secs
  • Experimental Gelation Time: 133 secs
  • Bias: 1.5%

The gelation time data shows a minor discrepancy of 1.5% between the predicted and experimental values, with the experimental value being slightly higher than predicted. This indicates that the gel may have slightly slower gelation than expected, which could be due to factors such as the neutralization process or environmental conditions. Despite this, the gelation time remains within a reasonable range for the intended topical application.

pH:

  • Predicted pH: 6.44
  • Experimental pH: 6.44
  • Bias: 0%

The pH values for both the predicted and experimental formulations are identical at 6.44, resulting in 0% bias. This indicates perfect alignment between the expected and observed pH, which is important for ensuring that the gel is compatible with skin or nail pH and maintains stability during application. The results indicate that the formulation of Carbopol 934, HPMC K4M, and Triethanolamine produces a highly consistent product across the predicted and experimental values. The small bias percentages observed in viscosity, drug release, and gelation time suggest that the formulation is robust, with only minor deviations that are well within acceptable experimental variability. These findings highlight the reliability of the formulation and predictive modeling used for designing the gel.

  • The viscosity is slightly lower in the experimental formulation compared to the predicted, but this difference is minor and does not significantly impact the gel's performance or stability.
  • The drug release also shows a very small reduction from the predicted value, but this is still within a range that suggests effective drug delivery.
  • The gelation time is consistent with expectations, although the slight increase is not critical. It may be attributed to environmental factors or small variations in formulation preparation.
  • The pH matches perfectly, confirming the formulation’s compatibility with topical application and ensuring that it will not irritate the skin.

The predicted vs experimental comparison of the Carbopol 934, HPMC K4M, and Triethanolamine formulation shows excellent agreement with only minor differences. These results suggest that the formulation is stable, effective, and predictable, with minimal variability in terms of viscosity, drug release, gelation time, and pH. The formulation is suitable for topical drug delivery, offering controlled release of Tavaborole while maintaining stability and patient safety.

CONCLUSION

The study successfully formulated and optimized pH-responsive in-situ gels of Tavaborole for topical application. Tavaborole was confirmed to be pure, stable, and hydrophobic, requiring suitable excipients for effective solubilization. Carbopol 934, HPMC K4M, and Triethanolamine significantly influenced key formulation parameters, including viscosity, gelation time, pH, and drug release. Formulations F12, F2, and F10 demonstrated high and sustained drug release (up to 92.51%), indicating their potential for prolonged therapeutic action. The viscosity and gelation times were optimized to ensure both ease of application and controlled release. FTIR studies confirmed stable drug-excipient interactions, likely contributing to gel formation and drug release behavior. The pH of all formulations was compatible with skin and nail application, ensuring safety and minimal irritation. Regression and bias analyses validated the reliability of the experimental design and formulation consistency. Overall, the results highlight the synergistic effect of the selected excipients in enhancing Tavaborole delivery. These optimized formulations present promising candidates for effective, patient-friendly topical treatment of onychomycosis

Author Contributions

All authors contributed significantly to the conception and design of the study, formulation development, data acquisition, analysis, and interpretation.

Conflict of Interest

The authors declare that there are no conflicts of interest associated with this work.

Funding

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

REFERENCE

  1. Leung AK, Lam JM, Leong KF, Hon KL, Barankin B, Leung AA, Wong AH. Onychomycosis: an updated review. Recent patents on inflammation & allergy drug discovery. 2020 May 1;14(1):32-45.
  2. Piraccini BM, Alessandrini A. Onychomycosis: a review. Journal of Fungi. 2015 Mar 27;1(1):30-43.
  3. Aggarwal R, Targhotra M, Kumar B, Sahoo PK, Chauhan MK. Treatment and management strategies of onychomycosis. Journal de mycologie medicale. 2020 Jun 1;30(2):100949.
  4. Kyriakidis I, Tragiannidis A, Munchen S, Groll AH. Clinical hepatotoxicity associated with antifungal agents. Expert opinion on drug safety. 2017 Feb 1;16(2):149-65.
  5. Markinson B, Ghannoum M, Winter T, Rycerz A, Rock F, Gupta AK. Examining the benefits of the boron-based mechanism of action and physicochemical properties of tavaborole in the treatment of onychomycosis. Journal of the American Podiatric Medical Association. 2018 Jan 1;108(1):12-9.
  6. Gupta AK, Polla Ravi S, Choi SY, Konda A, Cooper EA. Strategies for the enhancement of nail plate permeation of drugs to treat onychomycosis. Journal of the European Academy of Dermatology and Venereology. 2023 Feb;37(2):243-55.
  7. Mohanty D, Bakshi V, Simharaju N, Haque MA, Sahoo CK. A review on in situ gel: a novel drug delivery system. Int. J. Pharm. Sci. Rev. Res. 2018;50(1):175-81.
  8. Gupta H, Jain S, Mathur R, Mishra P, Mishra AK, Velpandian T. Sustained ocular drug delivery from a temperature and pH triggered novel in situ gel system. Drug delivery. 2007 Jan 1;14(8):507-15.
  9. Padmasri B, Nagaraju R, Prasanth D. A comprehensive review on in situ gels. Int J Appl Pharm. 2020;12(6):24-33.
  10. Patil AS, Pethe AM. Quality by Design (QbD): A new concept for development of quality pharmaceuticals. Int J Pharm Qual Assur. 2013 Apr;4(2):13-9.
  11. Shinde JV, Mali KK, Dias RJ, Havaldar VD, Mahajan NS. In situ mucoadhesive nasal gels of metoclopramide hydrochloride: preformulation and formulation studies. J Pharm Res. 2008 Jul;1(1):88-96.
  12. Nagarwal RC, Srinatha A, Pandit JK. In situ forming formulation: development, evaluation, and optimization using 3 3 factorial design. Aaps Pharmscitech. 2009 Sep; 10:977-84.
  13. Nasra MM, Khiri HM, Hazzah HA, Abdallah OY. Formulation, in-vitro characterization and clinical evaluation of curcumin in-situ gel for treatment of periodontitis. Drug delivery. 2017 Jan 1;24(1):133-42.
  14. Mohanan SH, Rasheed N, Bimal Raj KS. Formulation and evaluation of antimicrobial gels for the treatment of paronychia. Int J Appl Pharm. 2018 Nov 7; 10:161-7.

Reference

  1. Leung AK, Lam JM, Leong KF, Hon KL, Barankin B, Leung AA, Wong AH. Onychomycosis: an updated review. Recent patents on inflammation & allergy drug discovery. 2020 May 1;14(1):32-45.
  2. Piraccini BM, Alessandrini A. Onychomycosis: a review. Journal of Fungi. 2015 Mar 27;1(1):30-43.
  3. Aggarwal R, Targhotra M, Kumar B, Sahoo PK, Chauhan MK. Treatment and management strategies of onychomycosis. Journal de mycologie medicale. 2020 Jun 1;30(2):100949.
  4. Kyriakidis I, Tragiannidis A, Munchen S, Groll AH. Clinical hepatotoxicity associated with antifungal agents. Expert opinion on drug safety. 2017 Feb 1;16(2):149-65.
  5. Markinson B, Ghannoum M, Winter T, Rycerz A, Rock F, Gupta AK. Examining the benefits of the boron-based mechanism of action and physicochemical properties of tavaborole in the treatment of onychomycosis. Journal of the American Podiatric Medical Association. 2018 Jan 1;108(1):12-9.
  6. Gupta AK, Polla Ravi S, Choi SY, Konda A, Cooper EA. Strategies for the enhancement of nail plate permeation of drugs to treat onychomycosis. Journal of the European Academy of Dermatology and Venereology. 2023 Feb;37(2):243-55.
  7. Mohanty D, Bakshi V, Simharaju N, Haque MA, Sahoo CK. A review on in situ gel: a novel drug delivery system. Int. J. Pharm. Sci. Rev. Res. 2018;50(1):175-81.
  8. Gupta H, Jain S, Mathur R, Mishra P, Mishra AK, Velpandian T. Sustained ocular drug delivery from a temperature and pH triggered novel in situ gel system. Drug delivery. 2007 Jan 1;14(8):507-15.
  9. Padmasri B, Nagaraju R, Prasanth D. A comprehensive review on in situ gels. Int J Appl Pharm. 2020;12(6):24-33.
  10. Patil AS, Pethe AM. Quality by Design (QbD): A new concept for development of quality pharmaceuticals. Int J Pharm Qual Assur. 2013 Apr;4(2):13-9.
  11. Shinde JV, Mali KK, Dias RJ, Havaldar VD, Mahajan NS. In situ mucoadhesive nasal gels of metoclopramide hydrochloride: preformulation and formulation studies. J Pharm Res. 2008 Jul;1(1):88-96.
  12. Nagarwal RC, Srinatha A, Pandit JK. In situ forming formulation: development, evaluation, and optimization using 3 3 factorial design. Aaps Pharmscitech. 2009 Sep; 10:977-84.
  13. Nasra MM, Khiri HM, Hazzah HA, Abdallah OY. Formulation, in-vitro characterization and clinical evaluation of curcumin in-situ gel for treatment of periodontitis. Drug delivery. 2017 Jan 1;24(1):133-42.
  14. Mohanan SH, Rasheed N, Bimal Raj KS. Formulation and evaluation of antimicrobial gels for the treatment of paronychia. Int J Appl Pharm. 2018 Nov 7; 10:161-7.

Photo
Yuvaraj S.
Corresponding author

Mohamed Sathak AJ College of Pharmacy, Chennai, Tamil Nadu 600119

Photo
Dr. R. Sundhararajan
Co-author

Mohamed Sathak AJ College of Pharmacy, Chennai, Tamil Nadu 600119

Photo
Pushpamala M.
Co-author

Mohamed Sathak AJ College of Pharmacy, Chennai, Tamil Nadu 600119

Dr. R. Sundhararajan, Pushpamala M., Yuvaraj S.*, Formulation, Optimization, and Evaluation of a pH-Responsive In-situ gel of Tavaborole using Design of Experiments (DOE), Int. J. Sci. R. Tech., 2025, 2 (10), 466-482. https://doi.org/10.5281/zenodo.17454887

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