Biomedical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.
Biomech Model Mechanobiol. 2010 Dec;9(6):671-87. doi: 10.1007/s10237-010-0204-z. Epub 2010 Mar 19.
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.
软组织的长期适应性是通过生长和重塑（Growth and Remodeling，G&R）实现的。数学模型是检验 G&R 假设和支持实验设计与解释的有力工具。大多数理论 G&R 研究集中在描述生长或重塑上。我们的模型将其他作者提出的胶原蛋白募集拉伸和取向重塑的概念与一般 3D 生长的新模型相结合。我们将生长引起的体积变化转化为由于生长组织与其环境相互作用而导致的形状变化。我们的 G&R 模型在 3D 中实现了有限元包，但应用于两个旋转对称的情况，即人体主动脉的向稳态适应和梭形动脉瘤的发展。从猜测的非稳态开始，该模型能够用现实的参数再现动脉的稳态。我们研究了这个状态对初始参数设置的敏感性。此外，我们模拟了由健康动脉基质局部降解引发的梭形动脉瘤的 G&R。在降解停止后不久，动脉瘤的大小就稳定下来。
