Autor(es):
Barbeiro, S. 
; Ferreira, J. A.
Data: 2007
Identificador Persistente: http://hdl.handle.net/10316/8978
Origem: Estudo Geral - Universidade de Coimbra
Detalhes do Documento
Integro-differential models for percutaneous drug absorption
Descrição
In this paper we propose new mathematical models for percutaneous absorption of a drug. The new models are established by introducing, in the classical Fick's law, a memory term being the advection–diffusion equations of the classical models replaced by integro-differential equations. The well-posedness of the models is studied with Dirichlet, Neumann and natural boundary conditions. Methods for the computation of numerical solutions are proposed. Stability and convergence of the introduced methods are studied. Finally, numerical simulations illustrating the behaviour of the model are included. http://www.informaworld.com/10.1080/00207160701210091
In this paper we propose new mathematical models for percutaneous absorption of a drug. The new models are established by introducing, in the classical Fick's law, a memory term being the advection–diffusion equations of the classical models replaced by integro-differential equations. The well-posedness of the models is studied with Dirichlet, Neumann and natural boundary conditions. Methods for the computation of numerical solutions are proposed. Stability and convergence of the introduced methods are studied. Finally, numerical simulations illustrating the behaviour of the model are included. http://www.informaworld.com/10.1080/00207160701210091
Tipo de Documento
Artigo
Idioma Inglês
Idioma Inglês
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