A Thick Walled Fluid–Solid Growth Model of Abdominal Aortic Aneurysm Evolution: Application to a Patient Specific Geometry

Abstract

We propose a novel thickwalled fluid–solidgrowth (FSG) computational framework for modeling vascular disease evolution. The arterial wall is modeled as a thickwalled nonlinearly elastic cylindrical tube consisting of two layers corresponding to the mediaintima and adventitia, where each layer is treated as a fiberreinforced material with the fibers corresponding to the collagenous component. Blood is modeled as a Newtonian fluid with constant density and viscosity; no slip and noflux conditions are applied at the arterial wall. Disease progression is simulated by growth and remodeling (G&R) of the load bearing constituents of the wall. Adaptions of the natural reference configurations and mass densities of constituents are driven by deviations of mechanical stimuli from homeostatic levels. We apply the novel framework to model abdominal aortic aneurysm (AAA) evolution. Elastin degradation is initially prescribed to create a perturbation to the geometry which results in a local decrease in wall shear stress (WSS). Subsequent degradation of elastin is driven by low WSS and an aneurysm evolves as the elastin degrades and the collagen adapts. The influence of transmural G&R of constituents on the aneurysm development is analyzed. We observe that elastin and collagen strains evolve to be transmurally heterogeneous and this may facilitate the development of tortuosity. This multiphysics framework provides the basis for exploring the influence of transmural metabolic activity on the progression of vascular disease.