Partial differential equation

Dr Sameer A Matar's picture

A Repeated-Dose Model of Percutaneous Drug ‎Absorption

Journal Title, Volume, Page: 
Applied Mathematical Modelling Volume 26, Issue 4, Pages 529–544
Year of Publication: 
2002
Authors: 
S.A. Matar
Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
Current Affiliation: 
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
K. Kubota
Department of Pharmacoepidemiology, Faculty of Medicine, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8655, Japan
F. Dey
Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
E.H. Twizell
Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
Preferred Abstract (Original): 

A mathematical model is developed for percutaneous absorption with regular applications of the drug. The linear partial differential equations (PDEs) of the model are solved using a finite-difference method which is second-order accurate in space and time. The solutions of these PDEs give the concentrations of the drug in the vehicle and the skin at a given time. The numerical results obtained are adapted to monitor the amount of drug released from the vehicle, the bio-availability for each application, the amount of drug in the skin at a given time, and the flux from the skin to the capillary at a given time.

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