Modeling the Delivery of Drugs from a Water-Soluble Gel
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Author/Creator ORCID
Date
2018-01-01
Type of Work
Department
Mathematics and Statistics
Program
Mathematics, Applied
Citation of Original Publication
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Distribution Rights granted to UMBC by the author.
Access limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan thorugh a local library, pending author/copyright holder's permission.
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
Access limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan thorugh a local library, pending author/copyright holder's permission.
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
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Abstract
The rate at which a drug is released into the bloodstream can be controlled by synthesizing the drug inside of a water-soluble gel. The gel slows the rate of release, which is determined by the diffusivity of the drug and the thickness of the gel. This paper describes a mathematical model for release based on diffusivity and thickness data collected from a flattened gel. The one-dimensional diffusion equation is used to model the release of the drug, and numerical methods are used to approximate this release. In this research, splines are used to approximate the thickness and diffusivity data, and a joint optimization problem is later devised to validate the model.