Griffith T M, Edwards D H
Department of Diagnostic Radiology, University of Wales College of Medicine, Heath Park, Cardiff, United Kingdom.
Am J Physiol. 1994 May;266(5 Pt 2):H1786-800. doi: 10.1152/ajpheart.1994.266.5.H1786.
It is now widely recognized that nonlinear oscillatory systems can exhibit simple periodicity, characteristic repetitive patterns of odd and even integral periodicity and specific pathways for the transition to irregular, so-called "chaotic," dynamics. In the present study we have identified such behavior in the highly irregular rhythmic vasomotor activity induced by histamine in isolated rabbit ear resistance arteries, thus suggesting a deterministic rather than random etiology. In this experimental model nonlinearity arises at the level of the vascular smooth muscle cell, since oscillatory behavior was not abolished by endothelial denudation. To quantify the complexity of the responses induced by histamine, we applied the analysis of Grassberger and Proccacia (Physica D 9: 189-208, 1983) to calculate a scaling parameter known as fractal dimension, which estimates the minimum number of control variables participating in the genesis of an irregular time-varying signal. The findings suggest the involvement of at least three such variables, because its average numerical value was generally found to be between 2 and 3. Neither the absolute concentration of histamine employed nor pharmacological manipulation (i.e., stimulation/inhibition) of endothelium-derived relaxing factor (EDRF) activity significantly affected the fractal dimension of the pressure fluctuations, although both influenced their superficial form. Histamine and EDRF consequently do not determine the fundamental interactions responsible for generating the chaotic nature of the responses and may be regarded as permissive and modulatory influences, respectively. The well-known unpredictability of nonlinear systems to perturbation may explain why EDRF can either suppress or enhance rhythmic vasomotor activity in different artery types.
现在人们普遍认识到,非线性振荡系统可以表现出简单的周期性、奇数和偶数整数周期性的特征重复模式以及向不规则的、所谓“混沌”动力学转变的特定途径。在本研究中,我们在离体兔耳阻力动脉中由组胺诱导的高度不规则的节律性血管运动活动中发现了这种行为,从而提示其病因是确定性的而非随机性的。在这个实验模型中,非线性出现在血管平滑肌细胞水平,因为振荡行为不会因内皮剥脱而消除。为了量化组胺诱导的反应的复杂性,我们应用了格拉斯伯格和普罗卡恰(《物理D》9:189 - 208,1983)的分析方法来计算一个称为分形维数的标度参数,该参数估计参与不规则时变信号产生的控制变量的最小数量。研究结果表明至少有三个这样的变量参与其中,因为其平均数值通常在2到3之间。所使用的组胺的绝对浓度以及对内皮源性舒张因子(EDRF)活性的药理学操作(即刺激/抑制)均未显著影响压力波动的分形维数,尽管两者都影响其表面形式。因此,组胺和EDRF并不决定产生反应混沌性质的基本相互作用,它们可能分别被视为允许性和调节性影响。非线性系统对扰动的众所周知的不可预测性可能解释了为什么EDRF在不同类型的动脉中既可以抑制也可以增强节律性血管运动活动。