A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth
- 462 Downloads
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
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
- 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