Anomalous diffusion of drug release from a slab matrix: fractional diffusion models

Area of Science:

• Pharmacokinetics and Mathematical Modeling
• Drug Delivery Systems
• Applied Mathematics

Background:

• Drug release from non-degradable and degradable matrices is crucial for effective therapy.
• Anomalous diffusion phenomena can significantly impact drug release kinetics.
• Modeling drug release when initial drug loading exceeds solubility presents unique challenges.

Purpose of the Study:

• To develop mathematical models for drug release from slab matrices.
• To incorporate anomalous diffusion using fractional calculus into drug release modeling.
• To obtain exact and approximate solutions for these complex release scenarios.

Main Methods:

• Development of mathematical models for drug release from slab matrices.
• Application of fractional calculus to describe anomalous diffusion processes.
• Utilization of integral transform, similarity solution, and perturbation methods for obtaining solutions.

Main Results:

• Mathematical models were formulated for drug release from both non-degradable and degradable matrices.
• Fractional diffusion equations were employed to accurately represent anomalous diffusion.
• Exact and approximate solutions were successfully obtained for the proposed models.

Conclusions:

• The developed models effectively describe drug release kinetics, particularly under conditions of high initial drug loading.
• Fractional calculus provides a robust framework for modeling anomalous diffusion in drug release.
• The obtained solutions offer valuable insights for designing and optimizing drug delivery systems.