Vankan W J, Huyghe J M, van Donkelaar C C, Drost M R, Janssen J D, Huson A
Department of Mechanical Engineering, Eindhoven University of Technology, Netherlands.
J Biomech. 1998 May;31(5):401-9. doi: 10.1016/s0021-9290(98)00014-1.
A finite element (FE) model of blood perfused biological tissue has been developed. Blood perfusion is described by fluid flow through a series of 5 intercommunicating vascular compartments that are embedded in the tissue. Each compartment is characterized by a blood flow permeability tensor, blood volume fraction and vessel compliance. Local non-linear relationships between intra-extra vascular pressure difference and blood volume fraction, and between blood volume fraction and the permeability tensor, are included in the FE model. To test the implementation of these non-linear relations, FE results of blood perfusion in a piece of tissue that is subject to increased intramuscular pressure, are compared to results that are calculated with a lumped parameter (LP) model of blood perfusion. FE simulation of blood flow through a contracting rat calf muscle is performed. The FE model used in this simulation contains a transversely isotropic, non-linearly elastic description of deforming muscle tissue, in which local contraction stress is prescribed as a function of time. FE results of muscle tension, total arterial inflow and total venous outflow of the muscle during contraction, correspond to experimental results of an isometrically and tetanically contracting rat calf muscle.
已开发出一种血液灌注生物组织的有限元（FE）模型。血液灌注通过流经嵌入组织中的一系列5个相互连通的血管腔室的流体流动来描述。每个腔室的特征在于血流渗透张量、血容量分数和血管顺应性。有限元模型中包含血管内外压力差与血容量分数之间以及血容量分数与渗透张量之间的局部非线性关系。为了测试这些非线性关系的实现情况，将一块受到肌肉内压力增加影响的组织中血液灌注的有限元结果与用血液灌注集总参数（LP）模型计算的结果进行比较。进行了通过收缩大鼠小腿肌肉的血流的有限元模拟。该模拟中使用的有限元模型包含对变形肌肉组织的横向各向同性、非线性弹性描述，其中局部收缩应力规定为时间的函数。收缩过程中肌肉的张力、总动脉流入量和总静脉流出量的有限元结果与等长强直收缩大鼠小腿肌肉的实验结果相对应。
