Multigenerational interstitial growth of biological tissues.

Multigenerational interstitial growth of biological tissues.
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DOI:
10.1007/s10237-010-0205-y
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发表时间:
2010-12
影响因子:
3.5
通讯作者:
Ricken, Tim
Ricken, Tim
中科院分区:
工程技术2区
文献类型:
--
作者:
Ateshian, Gerard A.;Ricken, Tim

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这项研究制定了一个理论,为多代间质生长的生物组织,每一代有一个独特的参考配置确定在其沉积的时间。在该模型中,生长组织的固体基质由多个混合的多孔可渗透体组成,每个多孔可渗透体代表一代,所有这些多孔可渗透体都被约束为在当前配置中一起移动。每一代的参考配置都与主参考配置(通常是第一代的配置)有一对一的映射。这种映射是基于关于其沉积时的世代应力状态的本构假设而假定的。例如,即使下层组织处于加载构型,也可以假设新沉积的生成物处于无应力状态。由于生长或降解,每一代的质量含量可能随时间变化,从而改变组织的材料特性。这个框架的有限元实现是用来提供几个说明性的例子,包括细胞分裂,然后由矩阵营业额间质生长。
This study formulates a theory for multigenerational interstitial growth of biological tissues whereby each generation has a distinct reference configuration determined at the time of its deposition. In this model, the solid matrix of a growing tissue consists of a multiplicity of intermingled porous permeable bodies, each of which represents a generation, all of which are constrained to move together in the current configuration. Each generation’s reference configuration has a one-to-one mapping with the master reference configuration, which is typically that of the first generation. This mapping is postulated based on a constitutive assumption with regard to that generations’ state of stress at the time of its deposition. For example, the newly deposited generation may be assumed to be in a stress-free state, even though the underlying tissue is in a loaded configuration. The mass content of each generation may vary over time as a result of growth or degradation, thereby altering the material properties of the tissue. A finite element implementation of this framework is used to provide several illustrative examples, including interstitial growth by cell division followed by matrix turnover.
DOI: 10.1007/s10237-006-0070-x
发表时间: 2007-11-01
影响因子: 3.5
作者:
Ateshian, Gerard A.
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