Preferred fiber orientations in healthy arteries and veins understood from netting analysis

摘要: In this paper we analyze the reinforcement of blood vessels by collagen fibers using concept netting analysis from composite theory. To end, interpret preferred fiber as solution to a weighted optimization problem having two competing targets, minimal pulse pressure and material usage, under constraint mechanical stability against buckling in physiologically reasonable range pressures. We demonstrate that for large arteries is helical with oriented diagonally small veins an orthogonal consisting axial circumferential fibers. Both findings agree well experimental data reported others, which suggests existence underlying principle establishment maintenance vascular orientations normal conditions.