A mechanical model for the formation of vascular networks in vitro
A mechanical model for the formation of vascular networks in vitro
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DOI：
10.1007/bf00046533
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发表时间：
1996-11-01
影响因子：
1.3
通讯作者：
Murray, JD
中科院分区：
文献类型：
--
作者：
Manoussaki, D;Lubkin, SR;Murray, JD
当在凝胶化基底膜基质上培养时，内皮细胞会施加张力，使基质变形，同时聚集成簇。细胞最终形成连接细胞聚集体的索状结构的网络。在这个网络中，几乎所有的基质都被拉到细胞索和细胞簇下面。这种现象已被提出作为一个可能的模型，平面血管系统的生长和发育在体外。我们的假设是，基质重组和细胞网络的形式作为一个结果的牵引力施加的细胞上的矩阵和后者的弹性。我们构建并分析了一个数学模型的基础上，这一假设，并检查必要的条件，形成的模式。我们表明细胞迁移是没有必要的图案形成和各向同性，应变刺激牵引是足以形成所观察到的图案。
Endothelial cells, when cultured on gelled basement membrane matrix exert forces of tension through which they deform the matrix and at the same time they aggregate into clusters. The cells eventually form a network of cord-like structures connecting cell aggregates. In this network, almost all of the matrix has been pulled underneath the cell cords and cell clusters. This phenomenon has been proposed as a possible model for the growth and development of planar vascular systems in vitro. Our hypothesis is that the matrix is reorganized and the cellular networks form as a result of traction forces exerted by the cells on the matrix and the latter's elasticity. We construct and analyze a mathematical model based on this hypothesis and examine conditions necessary for the formation of the pattern. We show cell migration is not necessary for pattern formation and that isotropic, strains-stimulated traction is sufficient to form the observed patterns.