A mathematical model describing delivery of therapeutic agents from polymeric coatings into coronary arteries after stenting procedures is developed. A metabolic term denoting a drug consumption and a volume-averaged filtration velocity of the plasma over an arterial cross section are included. Also, an infinite mass transfer coefficient at the adventitial boundary surface is considered and a non-uniform initial concentration in the coating is assumed. Such a model can be used to study the effect of different coating parameters and configurations on the drug release. Transformation and separation-of-variables method lead to a 1D Sturm-Liouville problem with discontinuous coefficients and an exact analytical solution for local concentrations is found. Drug concentration profiles are given and the influence on the physico-chemical parameters is discussed.
Modelling of mass convection-diffusion in stent-based drug delivery
DE MONTE, FILIPPO
2007-01-01
Abstract
A mathematical model describing delivery of therapeutic agents from polymeric coatings into coronary arteries after stenting procedures is developed. A metabolic term denoting a drug consumption and a volume-averaged filtration velocity of the plasma over an arterial cross section are included. Also, an infinite mass transfer coefficient at the adventitial boundary surface is considered and a non-uniform initial concentration in the coating is assumed. Such a model can be used to study the effect of different coating parameters and configurations on the drug release. Transformation and separation-of-variables method lead to a 1D Sturm-Liouville problem with discontinuous coefficients and an exact analytical solution for local concentrations is found. Drug concentration profiles are given and the influence on the physico-chemical parameters is discussed.Pubblicazioni consigliate
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