Remodeling and growth of living tissue: a multiphase theory
Remodeling and growth of living tissue: a multiphase theory
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活组织的重塑和生长：多相理论
DOI：
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
J. Bluhm
中科院分区：
文献类型：
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作者：
T. Ricken;J. Bluhm
连续三相模型（即，基于多孔介质理论（TPM）提出了一种用于描述各向同性和横观各向同性生物组织中生长和重塑现象的唯象方法。在这项研究中，特别注意的是支付在应力应变和/或营养素驱动的营养相到固相的相变过程中的质量交换的描述。为了定义热力学上一致的本构关系，混合物的熵不等式类似于科尔曼和诺尔（Arch Ration Mech Anal 13：167-178，1963）进行评估。因此，独立的过程变量的选择是出于这样一个事实，即由此产生的现象学描述导出耦合过程的物理可解释性和全面的描述。在此基础上，提出了应力、质量供给和渗透率的本构关系。所得到的方程组被实现成一个混合有限元方案。因此，我们得到了一个耦合计算的概念，以确定固体运动，内部压力以及固体，流体和营养物的体积分数。
A continuum triphase model (i.e., a solid filled with fluid containing nutrients) based on the theory of porous media (TPM) is proposed for the phenomenological description of growth and remodeling phenomena in isotropic and transversely isotropic biological tissues. In this study, particular attention is paid on the description of the mass exchange during the stress–strain- and/or nutrient-driven phase transition of the nutrient phase to the solid phase. In order to define thermodynamically consistent constitutive relations, the entropy inequality of the mixture is evaluated in analogy to Coleman and Noll (Arch Ration Mech Anal 13:167–178, 1963). Thereby, the choose of independent process variables is motivated by the fact that the resulting phenomenological description derives both a physical interpretability and a comprehensive description of the coupled processes. Based on the developed thermodynamical restrictions constitutive relations for stress, mass supply and permeability are proposed. The resulting system of equation is implemented into a mixed finite element scheme. Thus, we obtain a coupled calculation concept to determine the solid motion, inner pressure as well as the solid, fluid and nutrient volume fractions.
影响因子：
2.4
作者：
RICE, JC;COWIN, SC;BOWMAN, JA
通讯作者：
BOWMAN, JA