Optimization of Extracellular Vesicle Release for Targeted Drug Delivery
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Abstract:
Targeted drug delivery is a promising approach for many serious diseases, such as glioblastoma multiforme, one of the most common and devastating brain tumor. In this context, this work addresses the optimization of the controlled release of drugs which are carried by extracellular vesicles. Towards this goal, we derive and numerically verify an analytical solution for the end-to-end system model. We then apply the analytical solution either to reduce the disease treatment time or to reduce the amount of required drugs. The latter is formulated as a bilevel optimization problem, whose quasiconvex/quasiconcave property is proved here. For solving the optimization problem, we propose and utilize a combination of bisection method and golden-section search. The numerical results demonstrate that the optimization can significantly reduce the treatment time and/or the required drugs carried by extracellular vesicles for a therapy compared to the steady state solution.
Insights
This study optimizes drug release from extracellular vesicles for glioblastoma treatment. The new analytical solution significantly reduces treatment time and drug dosage, improving targeted therapy effectiveness.
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.
