Abstract:
: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 parameters. 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.
journal_name
Biomech Model Mechanobioljournal_title
Biomechanics and modeling in mechanobiologyauthors
Machyshyn IM,Bovendeerd PH,van de Ven AA,Rongen PM,van de Vosse FNdoi
10.1007/s10237-010-0204-zsubject
Has Abstractpub_date
2010-12-01 00:00:00pages
671-87issue
6eissn
1617-7959issn
1617-7940journal_volume
9pub_type
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