Griffith T M, Edwards D H
Department of Diagnostic Radiology, University of Wales College of Medicine, Heath Park, Cardiff, United Kingdom.
Am J Physiol. 1995 Aug;269(2 Pt 2):H656-68. doi: 10.1152/ajpheart.1995.269.2.H656.
We have previously shown that irregular vasomotion induced by histamine in isolated rabbit ear resistance arteries is chaotic. Consistently, in the present study, such activity was found to respond in a highly unpredictable fashion to changes in flow under conditions of controlled-flow perfusion, although its fractal dimension, calculated by a standard correlation technique, was effectively independent of flow rate and remained < 4. As this statistic provides an estimate of the number of control variables that generate a chaotic time series, flow thus appears to modulate vasomotion without fundamentally contributing to its genesis. External modification of the dynamics was attempted by a negative feedback loop that regulated pump speed through an error signal derived from perfusion pressure. Irregular responses were converted to either periodic or steady-state behavior in approximately 60% of cases with an associated fall in fractal dimension. Conversely, unsuccessful control was often associated with an increase in fractal dimension, reflecting the additional complexity introduced by the feedback loop. Furthermore, control was more readily achieved in the presence of NG-nitro-L-arginine methyl ester, when time- and flow-dependent changes in endothelium-derived relaxing factor synthesis would not be expected to complicate the overall dynamics. The study suggests that vascular chaos may be economically "controlled" under both physiological and pathophysiological conditions.
我们之前已经表明,组胺在离体兔耳阻力动脉中诱导的不规则血管运动是混沌的。同样,在本研究中,在控制流量灌注条件下,发现这种活动对流量变化的反应高度不可预测,尽管通过标准相关技术计算的其分形维数实际上与流速无关,且仍小于4。由于该统计量提供了对产生混沌时间序列的控制变量数量的估计,因此流量似乎在调节血管运动,但对其产生没有根本性贡献。通过一个负反馈回路尝试对动力学进行外部修正,该回路通过从灌注压力导出的误差信号来调节泵速。在大约60%的情况下,不规则反应转变为周期性或稳态行为,同时分形维数下降。相反,控制不成功通常与分形维数增加相关,这反映了反馈回路引入的额外复杂性。此外,在存在NG-硝基-L-精氨酸甲酯的情况下更容易实现控制,此时内皮源性舒张因子合成中与时间和流量相关的变化预计不会使整体动力学复杂化。该研究表明,在生理和病理生理条件下,血管混沌可能在经济上得到“控制”。