Liu S Q, Fung Y C
Department of AMES-Bioengineering, University of California, San Diego, La Jolla 92093-0412.
Biorheology. 1992 Sep-Dec;29(5-6):443-57. doi: 10.3233/bir-1992-295-605.
Rheological properties of blood vessels are expected to change in disease process if the structure of the vessel wall changes. This is illustrated in diabetes, which can be induced in rat by a single injection of Streptozocin. One of the rheological properties of the blood vessel is the stress-strain relationship. The nonlinear stress-strain relationship of arteries is best expressed as derivations of a strain-energy function. In this paper, the stress-strain relations are measured and the coefficients in the strain energy function of arteries are determined for diabetic and control rats. The meaning of these coefficients are explained. The influence of diabetes on the elastic property of the arteries is expressed by the changes of these coefficients. A point of departure of the present paper from all other blood vessel papers published so far is that all strains used here are referred to the zero-stress state of the arteries, whereas all other papers refer strains to the no-load state. The existence of a large difference between the zero-stress state and no-load state of arteries is one of our recent findings. We have explained that the use of zero-stress state as a basis of strain measurements reveals that the in vivo circumferential stress distribution is quite uniform in the vessel wall at the homeostatic condition. It also makes the strain energy function much more accurate than those in which the residual stress is ignored. Using these new results, the stress and strain distribution in normal and diabetic arteries are presented.
如果血管壁结构发生变化,预计血管的流变学特性会在疾病过程中发生改变。这在糖尿病中得到了体现,糖尿病可通过单次注射链脲佐菌素在大鼠中诱发。血管的流变学特性之一是应力 - 应变关系。动脉的非线性应力 - 应变关系最好表示为应变能函数的导数。在本文中,测量了糖尿病大鼠和对照大鼠的应力 - 应变关系,并确定了动脉应变能函数中的系数。解释了这些系数的含义。糖尿病对动脉弹性特性的影响通过这些系数的变化来体现。本文与迄今为止发表的所有其他血管相关论文的一个不同之处在于,这里使用的所有应变均相对于动脉的零应力状态,而所有其他论文将应变相对于无负载状态。动脉的零应力状态和无负载状态之间存在很大差异是我们最近的发现之一。我们已经解释过,以零应力状态作为应变测量的基础表明,在稳态条件下,血管壁内的体内周向应力分布相当均匀。这也使得应变能函数比那些忽略残余应力的函数更加精确。利用这些新结果,给出了正常动脉和糖尿病动脉中的应力和应变分布。