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Engineering Diffusion-Controlled Drug Delivery Systems to Achieve a Desired Drug Release Profile: Mathematical
Daniele Peri1, Elliot J Carr2, Giuseppe Pontrelli1
1Istituto per le Applicazioni del Calcolo, CNR, Rome, Italy.
Designing diffusion-controlled drug delivery systems is challenging. This study presents a mathematical framework to precisely control drug release profiles, enabling tailored therapeutic behaviors for localized treatment.
Area of Science:
- Biomaterials Science
- Pharmaceutical Engineering
- Computational Modeling
Background:
- Drug delivery devices offer localized treatment with reduced systemic side effects.
- Designing diffusion-controlled systems for predictable drug release profiles is a significant challenge due to time-varying release rates.
Purpose of the Study:
- To develop a mathematical framework for the rational design of diffusion-controlled drug delivery systems.
- To enable the achievement of desired therapeutic drug release profiles.
Main Methods:
- A continuum-scale mathematical model was developed for diffusion-controlled drug release from spherical microcapsules.
- Functionally graded polymers with spatially varying diffusivity and non-uniform initial drug distribution were modeled.
- An inverse optimization procedure using a hybrid imperialist competitive algorithm was employed to identify design variables.
Main Results:
- Achieving a constant (zero-order) drug release rate is possible by optimizing initial drug distribution and diffusivity.
- More complex, general release profiles necessitate the simultaneous optimization of spatially varying diffusivity and initial drug loading.
Conclusions:
- The proposed framework successfully integrates mathematical modeling and optimization for rational drug delivery system design.
- This approach enables the creation of diffusion-controlled systems capable of producing tailored therapeutic release behaviors.
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