Percolation and transit in microvascular networks.
Percolation and transit in microvascular networks.
复制标题
微血管网络中的渗透和转运。
DOI：
10.1007/978-1-4684-5188-7_11
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发表时间：
1986
影响因子：
--
通讯作者：
Werin,S
中科院分区：
文献类型：
--
作者：
Hudetz,AG;Werin,S
方法为了确定在不对称的、相互连接的网络中毛细血管密度和微血管阻力之间的理论关系，例如在大脑皮层中发现的（Duvernoy等人，1981），建立了不同拓扑结构的血管网络数学模型，计算了系统中局部压力和流量的稳态分布。为此，建立了三维准随机毛细网络模型。由于脑毛细血管通常以分叉的方式分支，因此用3的配位数构建网络。这必须是一个随机网络，因为不存在配位数小于4的三维规则晶格。从Heencke和Keyserlingk（1979）的工作中获得了选择网络拓扑结构的一些指导，他们证明了具有60度平均分支角的六边形毛细管排列
METHODSIn order to determine the theoretical relationship between capillary density and microvascular resistance in asymmetric, interconnected networks, such that found in the brain cortex (Duvernoy et al., 1981), matllematical models of vessel networks with various topologies were constructed, and the steady state distributions of local pressures and flows in the system were calculated.At first, the effect of the spatial pattern of arterioles and venules was studied. To this end, a 3-dimensional, quasi-random capillary network model was set up. Since cerebral capillaries usually branch in bifurcations, the network was constructed with a coordination number of 3. This had to be a randomized network, since no 3-dimensional regular lattice exists with a coordination number of less than 4. Some guidance for the selection of the topology of the network was obtained from the\{ork of Heencke and Keyserlingk (1979) who demonstrated hexagonal-like arrangement of capillaries with an average branching angle of 60 degrees