Date of Award

Spring 2022

Access Type

Dissertation - Open Access

Degree Name

Doctor of Philosophy in Mechanical Engineering


Mechanical Engineering

Committee Chair

Eduardo Divo

First Committee Member

Eduardo Divo

Second Committee Member

Vladimir V. Golubev

Third Committee Member

Sandra K.S. Boetcher

Fourth Committee Member

Birce Dikici

Fifth Committee Member

Dr. Alain Kassab


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.

Khoury_PhDDissertation_Signature Page.pdf (247 kB)
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)