M5 mesoscopic and macroscopic models for mesenchymal motion
M5 mesoscopic and macroscopic models for mesenchymal motion
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M5 间充质运动细观和宏观模型
DOI：
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发表时间：
2006
影响因子：
1.9
通讯作者：
T. Hillen
中科院分区：
文献类型：
--
作者：
T. Hillen
本文建立了纤维网络中细胞间质运动的介观（基于个体）和宏观（基于群体）模型。间充质运动是一种通过纤维网络形成的组织在三维空间中发生的细胞运动形式，例如通过胶原网络侵袭肿瘤转移。细胞的运动是由网络的方向性引导的，此外，网络被蛋白酶降解。本文的主要成果是推导出网状组织中间质运动的介观和宏观模型。介观模型基于相关随机游走的输运方程，宏观模型具有漂移-扩散方程的形式，其中平均漂移速度由组织的平均取向给出，扩散张量由组织取向的方差-协方差矩阵给出。输运方程以及漂移扩散极限耦合到一个微分方程，该微分方程明确地描述了组织变化，其中我们区分了有向和无向组织的情况。因此，漂移速度和扩散张量是随时间变化的。我们讨论了与现有模型的关系和可能的应用。
In this paper mesoscopic (individual based) and macroscopic (population based) models for mesenchymal motion of cells in fibre networks are developed. Mesenchymal motion is a form of cellular movement that occurs in three-dimensions through tissues formed from fibre networks, for example the invasion of tumor metastases through collagen networks. The movement of cells is guided by the directionality of the network and in addition, the network is degraded by proteases. The main results of this paper are derivations of mesoscopic and macroscopic models for mesenchymal motion in a timely varying network tissue. The mesoscopic model is based on a transport equation for correlated random walk and the macroscopic model has the form of a drift-diffusion equation where the mean drift velocity is given by the mean orientation of the tissue and the diffusion tensor is given by the variance-covariance matrix of the tissue orientations. The transport equation as well as the drift-diffusion limit are coupled to a differential equation that describes the tissue changes explicitly, where we distinguish the cases of directed and undirected tissues. As a result the drift velocity and the diffusion tensor are timely varying. We discuss relations to existing models and possible applications.
DOI：
10.1115/1.2796072
发表时间：
1997-05-01
影响因子：
1.7
作者：
Barocas, VH;Tranquillo, RT
通讯作者：
Tranquillo, RT