Modeling Growth in Biological Materials
Modeling Growth in Biological Materials
复制标题
DOI：
10.1137/080731785
复制
发表时间：
2012-01-01
期刊：
影响因子：
10.2
通讯作者：
Chapman, S. Jonathan
中科院分区：
文献类型：
--
作者：
Jones, Gareth Wyn;Chapman, S. Jonathan
生长组织的生物力学建模最近已成为一个非常感兴趣的领域。特别是，生长模式和机械应力之间的相互作用非常重要，可能应用于动脉力学，胚胎形态发生，肿瘤发展和骨重塑。这篇综述的目的是给出一个理论的概述，已经用来模拟这些现象，分类根据组织是否被认为是一个连续的对象或细胞的集合。在讨论的连续介质模型中，变形梯度分解方法允许从不相容生长场发展成残余应力场。基于细胞的模型进一步细分为元胞自动机、中心动力学和顶点动力学模型。其中后两者被考虑得更详细，特别是关于它们对细胞-细胞相互作用和细胞分裂的处理。这篇综述最后评估了这两种根本不同的组织生长方法之间的调和前景，并确定了进一步研究的可能途径。
The biomechanical modeling of growing tissues has recently become an area of intense interest. In particular, the interplay between growth patterns and mechanical stress is of great importance, with possible applications to arterial mechanics, embryo morphogenesis, tumor development, and bone remodeling. This review aims to give an overview of the theories that have been used to model these phenomena, categorized according to whether the tissue is considered as a continuum object or a collection of cells. Among the continuum models discussed is the deformation gradient decomposition method, which allows a residual stress field to develop from an incompatible growth field. The cell-based models are further subdivided into cellular automata, center-dynamics, and vertex-dynamics models. Of these the second two are considered in more detail, especially with regard to their treatment of cell-cell interactions and cell division. The review concludes by assessing the prospects for reconciliation between these two fundamentally different approaches to tissue growth, and by identifying possible avenues for further research.