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庞加莱图的几何形状可区分自主神经系统的两个分支——一种假说。

Geometry of the Poincaré plot can segregate the two arms of autonomic nervous system - A hypothesis.

作者信息

Roy Soma, Goswami Damodar Prasad, Sengupta Arnab

机构信息

Dept. of Physiology, Rampurhat Govt. Medical College & Hospital Birbhum, 731224 WB, India.

Dept. of Mathematics, Netaji Subhash Engineering College, Panchpota, Garia, Kolkata 700152, West Bengal, India.

出版信息

Med Hypotheses. 2020 May;138:109574. doi: 10.1016/j.mehy.2020.109574. Epub 2020 Jan 20.

DOI:10.1016/j.mehy.2020.109574
PMID:32014816
Abstract

Autonomic Nervous System (ANS) operates to achieve the optimum physiological functioning and maintains homeostasis in a tonic and continuous manner. Evaluation of ANS profile is crucial in assessing autonomic dysfunction. Conventional ANS evaluation procedures fail to capture minute dynamic alterations of ANS activities. The ANS output pattern is appropriately reflected in the fine alteration of the resting heart rate (HR). HR is a non-stationary variable, results from the dynamic interplay between the multiple physiologic mechanisms. The control of cardiac rate or the chronotropic regulation of heart is considered as a coupled network of oscillators, each representing a specific facet of the cardiovascular reflex. The slower vasomotor oscillation via sympathetic system is combined with rapid respiratory oscillation by parasympathetic system to modulate the intrinsic oscillation pattern of the SA Node. Heart Rate Variability (HRV) is used to understand the autonomic influence on cardiovascular system in health and disease. Fourier decomposition of HRV offers us mainly two different frequency components. High frequency (HF) variation indicates parasympathetic variability due to respiration and Low frequency (LF) mainly implicates tonic sympathetic influence, due to slower vasomotor modulation of heart rate. However, different studies show conflicting results and direct recording of sympathetic nerve activity also failed to correlate with LF power in either healthy subjects or in patients with increased cardiac sympathetic drive. A scatter-plot where each R-R interval is plotted against the preceding R-R interval forms a distributed elliptic point cloud in two dimensional plane. The phase space realization of this plot with dimension two and delay one is referred to as Poincaré plot analysis, an emerging quantitative-visual technique where the shape of the plot is categorized into different functional classes. The plot provides summary as well as detailed beat-to-beat information of the heart. This plot can be extended to three dimensions and with multi-lag, offering more insight and information. A mathematical expression was developed by an interventional study by Toichi et al., using pharmacological blockers during different physiological variables that calculated the lengths of transverse and longitudinal axes of the Poincaré plot to derive two quantitative expressions of sympathetic and vagal influence on HRV: 'cardiac sympathetic index' (CSI)) and 'cardiac vagal index' (CVI). In the present study, we emulate Poincaré plot patterns seen in normal range of sympatho-vagal balances and also in Diabetes Mellitus (DM), known to cause autonomic dysfunction. The emerging pattern of R-R interval time series would provide valuable insight into the altered temporal dynamics and also extract crucial features embedded within. DM is a major public health crisis globally and particularly in Indian population. We hypothesize that, CSI and CVI will effectively segregate the two arms of ANS and can be utilized as an effective evaluation tool to explore the disease status in patients of Diabetes Mellitus. We also propose that, the dynamics of fluctuations in physiological rhythms that exhibit long-term correlation and memory, can also be explored and expressed quantitatively by incorporating various degrees of 'lag' in these recurrence plots.

摘要

自主神经系统(ANS)以持续且稳定的方式运作,以实现最佳生理功能并维持体内平衡。评估ANS特征对于评估自主神经功能障碍至关重要。传统的ANS评估程序无法捕捉到ANS活动的微小动态变化。ANS的输出模式恰当地反映在静息心率(HR)的细微变化中。HR是一个非平稳变量,由多种生理机制之间的动态相互作用产生。心率控制或心脏的变时性调节被认为是一个振荡器耦合网络,每个振荡器代表心血管反射的一个特定方面。通过交感神经系统的较慢血管运动振荡与通过副交感神经系统的快速呼吸振荡相结合,以调节窦房结的固有振荡模式。心率变异性(HRV)用于了解自主神经系统在健康和疾病状态下对心血管系统的影响。HRV的傅里叶分解主要为我们提供两个不同的频率成分。高频(HF)变化表明由于呼吸引起的副交感神经变异性,低频(LF)主要暗示由于心率的较慢血管运动调节而产生的交感神经张力性影响。然而,不同的研究显示出相互矛盾的结果,并且在健康受试者或心脏交感神经驱动增加的患者中,交感神经活动的直接记录也未能与LF功率相关。将每个R-R间期与前一个R-R间期绘制而成的散点图在二维平面上形成一个分布的椭圆点云。该图的二维且延迟为一的相空间实现被称为庞加莱图分析,这是一种新兴的定量可视化技术,其中图的形状被分类为不同的功能类别。该图提供了心脏的总体以及详细的逐搏信息。该图可以扩展到三维并具有多延迟,从而提供更多的见解和信息。Toichi等人通过一项干预性研究开发了一个数学表达式,该研究在不同生理变量期间使用药理学阻滞剂来计算庞加莱图的横轴和纵轴长度,以得出交感神经和迷走神经对HRV影响的两个定量表达式:“心脏交感神经指数”(CSI)和“心脏迷走神经指数”(CVI)。在本研究中,我们模拟了在交感-迷走神经平衡正常范围以及已知会导致自主神经功能障碍的糖尿病(DM)中所见到的庞加莱图模式。R-R间期时间序列的新兴模式将为改变的时间动态提供有价值的见解,并提取其中嵌入的关键特征。DM是全球尤其是印度人群面临的重大公共卫生危机。我们假设,CSI和CVI将有效地分离ANS的两个分支,并可作为一种有效的评估工具来探索糖尿病患者的疾病状态。我们还提出,通过在这些递归图中纳入不同程度的“延迟”,也可以探索并定量表达表现出长期相关性和记忆的生理节律波动的动态变化。

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