Institute of Biophysics, Faculty of Medicine, University of Belgrade, Belgrade, Serbia.
Med Biol Eng Comput. 2010 Sep;48(9):887-94. doi: 10.1007/s11517-010-0643-9. Epub 2010 Jun 16.
We studied nonlinear dynamics underlying spontaneous rhythmical contractions of isolated rat portal vein. The signals were acquired at four different temperatures important in isolated blood vessels preparations: 4, 22, 37 and 40 degrees C. To characterize the system's nonlinearity, we calculated the largest Lyapunov exponent, sample entropy and scaling exponents. Evidence for nonlinearity was provided by analysis of surrogate data generated from the phase-randomized Fourier transform of the original sequences. Positive values of the largest Lyapunov exponent were obtained for the time series recorded under applied conditions, indicating that the system preserves its chaotic deterministic nature even far from the physiological temperature range. Scaling exponents revealed three distinctive regions with different correlation properties. The calculated measures that characterize the time series obtained at 4 degrees C were significantly different from those derived from data obtained at higher temperatures. System's dynamics becomes more complex or less predictable as temperature approaches physiological value. The computation of the largest Lyapunov exponent, sample entropy and correlation measures gave an insight into the complex dynamics of the isolated blood vessels rhythmicity. We identified different modes of rhythmical contractions of isolated rat portal vein which could improve understanding of possible control mechanisms in vivo.
我们研究了分离大鼠门静脉自发节律性收缩的非线性动力学。在四个对离体血管标本很重要的不同温度下采集信号:4°C、22°C、37°C 和 40°C。为了描述系统的非线性,我们计算了最大李雅普诺夫指数、样本熵和标度指数。通过对原始序列的相位随机化傅里叶变换生成的替代数据的分析,提供了非线性的证据。在施加条件下记录的时间序列的最大李雅普诺夫指数为正,表明即使远离生理温度范围,系统也保持其混沌确定性性质。标度指数揭示了具有不同相关特性的三个不同区域。在 4°C 下获得的时间序列的计算指标与在较高温度下获得的数据明显不同。随着温度接近生理值,系统的动力学变得更加复杂或更难以预测。最大李雅普诺夫指数、样本熵和相关度量的计算为孤立血管节律性的复杂动力学提供了深入了解。我们确定了分离大鼠门静脉节律性收缩的不同模式,这可能有助于理解体内可能的控制机制。