A theoretical model for tissue growth in confined geometries
A theoretical model for tissue growth in confined geometries
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DOI：
10.1016/j.jmps.2010.04.008
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发表时间：
2010-08-01
影响因子：
5.3
通讯作者：
Fratzl, P.
中科院分区：
文献类型：
--
作者：
Dunlop, J. W. C.;Fischer, F. D.;Fratzl, P.
已知细胞响应于生物化学和机械刺激而增殖并产生细胞外基质。在组织工程和再生医学的背景下，需要考虑这些现象的本构模型来定量描述组织生长的过程。在本文中，我们重新审视了由Ambrosi和Guana（2007）和Ambrosi和Guillou（2007）提供的理论框架。我们展示了如何获得体积增长率项（在大应变和小应变设置中），这与热力学定律是一致的，然后将该模型应用于圆形孔内组织生长的简单几何形状。该模型，尽管它的简单，是与实验测量的组织生长和突出的贡献组织生长过程中产生的机械应力的增长率本身。(C)2010爱思唯尔有限公司版权所有。
It is known that cells proliferate and produce extracellular matrix in response to biochemical and mechanical stimuli. Constitutive models considering these phenomena are needed to quantitatively describe the process of tissue growth in the context of tissue engineering and regenerative medicine. In this paper we re-examine the theoretical framework provided by Ambrosi and Guana (2007) and Ambrosi and Guillou (2007). We show how a volumetric growth rate term can be obtained (both in a large and small strain setting), which is consistent with the laws of thermodynamics and then apply the model to a simple geometry of tissue growth within a circular pore. The model, despite its simplicity, is comparable with experimental measurements of tissue growth and highlights the contribution of the mechanical stresses produced during tissue growth on the growth rate itself. (C) 2010 Elsevier Ltd. All rights reserved.