American Institute of Mathematical Sciences

Advanced
2009, 6(3): 493-508. doi: 10.3934/mbe.2009.6.493

Novel design of drug delivery in stented arteries: A numerical comparative study

Mario Grassi 1, , Giuseppe Pontrelli 2, , Luciano Teresi 3, , Gabriele Grassi 4, , Lorenzo Comel 5, , Alessio Ferluga 5, and  Luigi Galasso 5,

1. 

Dept. of Chemical Engineering, University of Trieste, Italy
2. 

Istituto per le Applicazioni del Calcolo, CNR, Roma, Italy
3. 

Dept. of Structures, University of Roma Tre, Roma, Italy
4. 

Dept. of Life Science, University of Trieste, Italy
5. 

Dept. of Material Engineering, University of Trieste, Italy, Italy, Italy

Received  February 2008 Revised  February 2009 Published  June 2009

Implantation of drug eluting stents following percutaneous transluminal angioplasty has revealed a well established technique for treating occlusions caused by the atherosclerotic plaque. However, due to the risk of vascular re-occlusion, other alternative therapeutic strategies of drug delivery are currently being investigated. Polymeric endoluminal pave stenting is an emerging technology for preventing blood erosion and for optimizing drug release. The classical and novel methodologies are compared through a mathematical model able to predict the evolution of the drug concentration in a cross-section of the wall. Though limited to an idealized configuration, the present model is shown to catch most of the relevant aspects of the drug dynamics in a delivery system. Results of numerical simulations shows that a bi-layer gel paved stenting guarantees a uniform drug elution and a prolonged perfusion of the tissues, and remains a promising and effective technique in drug delivery.
Keywords: mathematical modelling, finite elements., numerical methods, arterial stenting, drug delivery.
Mathematics Subject Classification: Primary: 92B05, 62P10; Secondary: 74S0.
Citation: Mario Grassi, Giuseppe Pontrelli, Luciano Teresi, Gabriele Grassi, Lorenzo Comel, Alessio Ferluga, Luigi Galasso. Novel design of drug delivery in stented arteries: A numerical comparative study. Mathematical Biosciences & Engineering, 2009, 6 (3) : 493-508. doi: 10.3934/mbe.2009.6.493
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