Optimization of Extracellular Vesicle Release for Targeted Drug Delivery.

Area of Science:

• Biomedical Engineering
• Nanotechnology
• Oncology

Background:

• Targeted drug delivery offers a promising strategy for treating aggressive diseases like glioblastoma multiforme.
• Extracellular vesicles are emerging as effective carriers for targeted therapeutic agents.
• Optimizing drug release kinetics is crucial for maximizing treatment efficacy and minimizing side effects.

Purpose of the Study:

• To develop and validate an analytical solution for optimizing controlled drug release from extracellular vesicles.
• To apply this solution to reduce glioblastoma treatment duration and/or drug dosage.
• To formulate and solve the drug dosage optimization as a bilevel optimization problem.

Main Methods:

• Derivation and numerical verification of an end-to-end system analytical solution.
• Application of the analytical solution for treatment time and drug dosage reduction.
• Formulation of drug dosage reduction as a bilevel optimization problem, proving its quasiconvex/quasiconcave property.
• Utilizing a combination of bisection and golden-section search methods to solve the optimization problem.

Main Results:

• The derived analytical solution accurately models the drug release system.
• Optimization strategies significantly reduced the required treatment time and/or drug dosage.
• The bilevel optimization approach proved effective in minimizing drug quantities.
• Numerical results show substantial improvements over steady-state solutions.

Conclusions:

• The developed analytical solution provides an effective tool for optimizing drug delivery systems using extracellular vesicles.
• This optimization can lead to more efficient and less toxic glioblastoma therapies.
• The findings highlight the potential of advanced mathematical modeling in enhancing targeted drug delivery systems.