ADAPTIVE REGULATION OF WALL SHEAR-STRESS OPTIMIZING VASCULAR TREE FUNCTION

ADAPTIVE REGULATION OF WALL SHEAR-STRESS OPTIMIZING VASCULAR TREE FUNCTION
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DOI:
10.1016/s0092-8240(84)80038-5
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发表时间:
1984-01-01
影响因子:
3.5
通讯作者:
TOGAWA, T
TOGAWA, T
中科院分区:
数学4区
文献类型:
--
作者:
KAMIYA, A;BUKHARI, R;TOGAWA, T

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已知哺乳动物动脉树的分支结构接近最小功模型的最优管道系统的分支结构,其特征在于恒定壁剪切速率的分支系统。产生这种构造的生理机制被认为是基于由壁剪切应力(剪切速率×剪切速率)引起的动脉口径的局部响应。血液粘度),从而保持该应力恒定,这是先前在分流到颈外静脉的犬颈总动脉处观察到的。根据现有数据估计的动脉系统各部分的应力水平在. ±.平均值的50%(15 dyn/cm 2),与模型预测值一致。对该模型代价函数的理论分析表明,由于血液粘度的异常变化而引起的动脉树中切变率水平的可疑变化可能导致最小切变率和最大切变率之间的3 ~ 4倍差异,这将导致总能量代价增加< 10%。对壁剪切应力的局部自适应响应是有效优化动脉树设计的机制。
Branching structure of the mammalian arterial tree is known to be close to that of an optimal conduit system of the minimum work model characterized as the branch system of constant wall shear rate. The physiological mechanism producing such construction was considered to be based on the local response of arterial caliber induced by the wall shear stress (shear rate .times. blood viscosity), thereby maintaining this stress constant, which was previously observed at the canine common carotid artery shunted to the external jugular vein. Stress levels at various parts of the arterial system estimated from available data fell within .+-. 50% of the mean (15 dyn/cm2), whcih was consistent with the value predicted from the model. Theoretical analyses on the cost function of the model indicated that the suspected variation of shear rate levels in the arterial tree due to the anomalous changes in blood viscosity, which might bring about 3- to 4-fold differences between the minimum and maximum shear rates, would cause < 10% increase in the total energy cost. A local adaptive response to wall shear stress is the mechanism which effectively optimizes the design of the arterial tree.