Long-term adaptation of soft tissues is realized through growth and remodeling (G&R). Mathematical models are powerful tools in testing hypotheses on G&R and
supporting the design and interpretation of experiments. Most theoretical G&R studies
concentrate on description of either growth or remodeling. Our model combines concepts
of remodeling of collagen recruitment stretch and orientation suggested by other authors
with a novel model of general 3D growth. We translate a growth-induced volume change
into a change in shape due to the interaction of the growing tissue with its environment.
Our G&R model is implemented in a finite element package in 3D, but applied to two
rotationally symmetric cases, i.e. the adaptation towards the homeostatic state of the
human aorta and the development of a fusiform aneurysm. Starting from a guessed non-homeostatic state the model is able to reproduce a homeostatic state of an artery with
realistic parameters. We investigate the sensitivity of this state to settings of initial pa-
rameters. In addition, we simulate G&R of a fusiform aneurysm, initiated by a localized
degradation of the matrix of the healthy artery. The aneurysm stabilizes in size soon after
the degradation stops.