Nonlinear diffusion in arterial tissues: a free boundary problem

• Published in: Acta mechanica Vol. 229; no. 10; pp. 4215 - 4228
• Main Authors: Burini, Diletta, De Lillo, Silvana, Fioriti, Gioia
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.10.2018; Springer; Springer Nature B.V
• Subjects: Analysis; Care and treatment; Classical and Continuum Physics; Control; Coronary heart disease; Diffusion; Dynamical Systems; Engineering; Engineering Thermodynamics; Free boundaries; Heat and Mass Transfer; Integral equations; Mathematical models; Nonlinear equations; Original Paper; Solid Mechanics; Stents; Surgical implants; Theoretical and Applied Mechanics; Vibration

A free boundary problem on a finite interval is formulated and solved for a nonlinear diffusion–convection equation. The model is suitable to describe drug diffusion in arterial tissues after the drug is released by an arterial stent. The problem is reduced to a system of nonlinear integral equation...