A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth
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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.
KeywordsArtery Aneurysm Remodeling Growth Collagen
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- Finlay HM, McCullough L, Canham PB (1995) Three-dimensional collagen organization of human brain arteries at different transmural pressures. J Vasc Res 32(5): 301–312Google Scholar
- Fung YC (1993) Biomechanics: mechanical properties of living tissues. Springer, New YorkGoogle Scholar
- He CM, Roach MR (1994) The composition and mechanical properties of abdominal aortic aneurysms. J Vasc Surg 20(1): 6–13Google Scholar
- Malek A, Izumo S (1992) Physiological fluid shear stress causes downregulation of endothelin-1 mRNA in bovine aortic endothelium. Am J Physiol 263(2 Pt 1): C389–C396Google Scholar
- Rhodin JAG (1980) Architecture of the vessel wall. In: Sparks HVJr, Bohr DF, Somlyo AD, Geiger SR (eds) Handbook of physiology. The cardiovascular system, vol 2. American Physiological Society, Bethesda, pp 1–31Google Scholar
- Segal A (2007) SEPRAN programmers guide, standard problems, users manual, manual examples, manual user examples, theoretical manual. Ingenieursbureau SEPRA, Den HaagGoogle Scholar
- Uematsu M, Ohara Y, Navas JP, Nishida K, Murphy TJ, Alexander RW, Nerem RM, Harrison DG (1995) Regulation of endothelial cell nitric oxide synthase mRNA expression by shear stress. Am J Physiol 269(6 Pt 1): C1371–C1378Google Scholar
- Wolinsky H, Glagov S (1964) Structural basis for the static mechanical properties of the aortic media. Circ Res 14: 400–413Google Scholar