Date of Award
Spring 2022
Access Type
Dissertation - Open Access
Degree Name
Doctor of Philosophy in Mechanical Engineering
Department
Mechanical Engineering
Committee Chair
Dr. Eduardo Divo
First Committee Member
Dr. Eduardo Divo
Second Committee Member
Dr. Vladimir Golubev
Third Committee Member
Dr. Sandra Boetcher
Fourth Committee Member
Dr. Birce Dikici
Fifth Committee Member
Dr. Alain Kassab
Abstract
The meshless method is an incredibly powerful technique for solving a variety of problems with unparalleled accuracy and efficiency. The pharmacokinetic problem of transdermal drug delivery (TDDD) is one such topic and is of significant complexity. The locally collocated meshless method (LCMM) is developed in solution to this topic. First, the meshless method is formulated to model this transport phenomenon and is then validated against an analytical solution of a pharmacokinetic problem set, to demonstrate this accuracy and efficiency. The analytical solution provides a locus by which convergence behavior are evaluated, demonstrating the super convergence of the locally collocated meshless method. An inverse method leveraging the LCMM is demonstrated, providing a novel in silico technique that complements clinical research in determining pharmacokinetic parameters. The validation and inverse problem application demonstrates the potential of the meshless framework in application to developing treatments and therapies in the field of transdermal drug delivery.
Scholarly Commons Citation
Khoury, Anthony Matthew, "A Meshless Approach to Computational Pharmacokinetics" (2022). Doctoral Dissertations and Master's Theses. 657.
https://commons.erau.edu/edt/657
Signature page.I collected most signatures manually, but haven't head back from the Dean and Provost. Dr. Coyle told me that signatures can be collected through this submission process, but wanted to provide what I had available.
Khoury_GS9_Acceptance_Signed.pdf (478 kB)
Khoury_GS15_DissertationBinding.pdf (373 kB)
Included in
Biomechanical Engineering Commons, Biomechanics and Biotransport Commons, Numerical Analysis and Computation Commons, Numerical Analysis and Scientific Computing Commons, Other Pharmacy and Pharmaceutical Sciences Commons, Partial Differential Equations Commons
