实验性神经起步点的不规则节律中的非稳定周期轨道

在大鼠坐骨神经结扎模型中,记录到放电节律以周期加方式相互转化,在确认了周期二与周期三之间的不规则节律具有混性质后,借助峰峰间期序列的回归映象方法,使用了一种测度增强算法,确认了此混沌放电中的非稳定周期轨道结构,提示出非稳定周期轨道在神经不规则放电节律的动力学之中起着重要作用。     

哇巴因作用下窦房结放电节律的非线性特征

运用近似熵及非稳定周期轨道方法,观察哇巴因(ouabain)对大鼠窦房结放电节律的影响,研究窦房结放电节律的非线性动力学特征。 结果显示:应用5 μmol/L ouabain 引起窦房结放电先出现不规则节律后,放电频率增加又转化为规则放电节律,窦房结放电间期由(394±16)ms缩短到(295±13)ms;随后放电节律再次转为不规则,最后窦房结放电间期又转为不规则。窦房结放电间期的近似熵值也随ouabain引起放电节律的不规则程度而增大;应用30μmol/L ouabain时有周期2、3及严重不规则节律的出现,并在严重不规则节律中检测到不稳定周期1、2及3轨道;用40 μmol/L ouabain后则可引起窦性停搏。结果表明ouabain可使窦房结放电序列出现多种节律,其中不规则放电节律含有确定性机制。     

人心脏低维动力学模型的混沌控制

两个相互作用振子的非线性动力学行为由特定的一维双参量圆周映射概括。这一模型已经被成功地用于描述人心脏某些反常节律。本文将相加性开环加闭环（ＯＰＣＬ）控制机制引入人心脏低维动力学模型,设计了一种有效的、抗噪声干扰的控制技术,可以通过变更迫动项实现任意期望的周期轨道的稳定控制。计算机模拟实验证实：运用这种方法能够将相空间中任意的初始状态引导到预先规定的目标动力学状态。     

人心脏低维动力学模型的计算机模拟

心脏窦房结与异位心室搏动非线性相互作用,导致调制并行收缩反常节律。本文从新的低维动力学心脏模型（双参量圆周映射）出发,研究由周期性到不规则、混沌动力学过渡的性质。模型的数值实验揭示出在双参量空间不同区域中,某些特征性步入混沌的道路和总体标度关系。一个明显特征是,在双参量空间宽广范围内观察到无穷层次的嵌套结构,即嵌在混沌带中的周期递加序列。而且,出现周期性的位置或者周期窗口的宽度,均存在普适的标度关系。另一方面,在参量空间一部分,包含相互交叠的不同周期性稳定轨道,有极复杂图象。本文结果显示,运用数值方法计算李雅普诺夫指数谱,可以基本上确定人心脏圆周映射的二维分岔结构和标度性质。     

心肌细胞团搏动整数倍节律的非线性动力学机制

利用心肌细胞耦合模型研究心肌整数倍节律的动力学机理。确定性模型仿真揭示了心肌细胞团同步搏动加周期分岔的节律变化规律;随机模型仿真发现在加周期分岔序列中分岔点附近会出现整数倍节律,其中,0-1整数倍节律产生于从静息到周期1的Hopf分岔点附近,1-2整数倍节律产生于周期1和周期2极限环间的加周期分岔点附近;对系统相空间轨道的分析进一步揭示出整数倍节律是由系统运动在相邻的两个轨道之间随机跃迁形成的。上述分析结果不仅阐明了心肌整数倍节律的机理,并且揭示了各种整数倍节律与加周期分岔序列中相邻节律的内在联系,为重新认识心律变化的规律开辟了新的途径。     

心肌细胞自发性搏动节律的分岔和混沌现象

心脏的节律是复杂的、非线性的;其节律复杂性的起源是多层次的。实验观察了心肌细胞自发性搏动节律的模式,以及改变细胞间耦合强度时节律的转化规律。表明在以正常灌流液灌流状态下,心肌细胞表现为多种不同的节律模式,可以是周期的,也可以是非周期的。当细胞间耦合强度下降时,心肌细胞节律发生转化,并经倍周期分岔进入混沌节律。实验结果有助于更好地理解心脏节律复杂性的起源。     

哺乳类动物生物周期节律对动脉粥样硬化的调控机制

生物周期节律(circadian rhythms)是指机体内生命活动随时间节律性变化的规律。相关研究证实哺乳动物心血管系统的功能活动存在昼夜周期节律变化,而生物周期节律紊乱也参与动脉粥样硬化(atherosclerosis,AS)的发生、发展。哺乳动物心血管系统中生物周期节律紊乱会破坏血管壁细胞生理功能,改变血流状态,诱发血管炎症反应,影响内皮源性一氧化氮(nitric oxide,NO)的合成与释放等,从而促进斑块的形成和发展,诱发斑块的不稳定,对AS的发生、发展具有重要的作用。现总结近年来生物节律与AS的研究进展,探讨哺乳动物心血管系统生物周期节律的表现形式以及节律紊乱对AS的调控机制,以期为AS的防治提供新的思路。     

大鼠视上核神经元自发放电节律的确定性机制

利用非线性动力学的方法 ,在多种生物数据中找到了确定性机制。大鼠下丘脑视上核(supraopticnucleus,SON)神经元自发产生不规则的放电。为了研究这些不规则放电是否含有确定性机制 ,用电流钳对大鼠SON神经元进行全细胞纪录,取动作电位峰峰间期序列(interspikeinterval,ISI)作为研究对象。采用一种新的检测时间序列非稳定周期轨道的方法分析ISI序列 ,发现ISI含有非稳定周期轨道族 ,即周期1 ,周期2 ,和周期3存在。结果表明 ,SON神经元的自发放电序列存在确定性的动力学机制。     

周期节律与肿瘤关系的分子机理

周期节律是由内在时钟系统介导的多重生物过程的周期循环.周期节律系统是由位于大脑的视神经交叉上核的中央时钟系统和位于外周的几乎存在于所有细胞的外周时钟系统组成的.中央时钟与外周时钟都能够对生物体的生理过程进行调控,如激素的分泌、能量代谢、细胞增殖、DNA损伤修复等.而周期节律基因的表达失调,对其下游靶基因包括细胞周期相关基因的表达,以及细胞抗凋亡能力等产生重要的影响.而这一结果会导致细胞增殖加速及基因组不稳定,并可能促进肿瘤的发生.许多实验证据表明,肿瘤是一种节律相关的生理失调,在许多肿瘤中都发现周期节律遭到破坏,如乳腺癌、前列腺癌、子宫内膜癌等.本文将从周期节律对细胞周期进程及对细胞DNA损伤修复的影响来讨论分子水平上细胞的周期节律与肿瘤发生发展的关系.     

神经起步点自发放电节律及节律转化的分岔规律

在神经起步点的实验中观察到了复杂多样的神经放电([Ca^2 ]o)节律模式,如周期簇放电、周期峰放电、混沌簇放电、混沌峰放电以及随机放电节律等。随着细胞外钙离子浓度的降低,神经放电节律从周期l簇放电,经过复杂的分岔过程(包括经倍周期分岔到混沌簇放电、混沌簇放电经激变到混沌峰放电、以及混沌峰放电经逆倍周期分岔到周期峰放电)转化为周期l峰放电。在神经放电理论模型——Chay模型中,调节与实验相关的参数(Ca^2 平衡电位),可以获得与实验相似的神经放电节律和节律转换规律。这表明复杂的神经放电节律之间存在着一定的分岔规律,它们是理解神经元信息编码的基础。     

Coexistence of two types on a single resource in discrete time

Armstrong and McGehee (1980) have shown that two species modeled in continuous time can coexist on a single resource provided that one species oscillates autonomously. This paper demonstrates the parallel result in discrete time. I consider a deterministic model of two asexual types in a single patch competing for a single resource, and show that such systems generically produce oscillatory coexistence or bistability if one of the types displays periodic or chaotic behavior in isolation. The conditions for coexistence or bistability are derived in terms of the convexity of the functions describing fitness as a function of resource availability. I also analyze whether or not a stable type, a type with a stable equilibrium population size when considered in isolation, can invade a periodic orbit of an unstable type, and show that the same convexity condition distinguishes these two cases. The widely considered exponential or Ricker model for population dynamics lies on the boundary between the two cases and is highly degenerate in this context.     

Heart rate recovery and heart rate complexity following resistance exercise training and detraining in young men

The purpose of this study was to examine heart rate recovery (HRR) and linear/nonlinear heart rate variability (HRV) before and after resistance training. Fourteen young men (25.0 +/- 1.1 yr of age) completed a crossover design consisting of a 4-wk time-control period, 6 wk of resistance training (3 days/wk), and 4 wk of detraining. Linear HRV was spectrally decomposed using an autoregressive approach. Nonlinear dynamics of heart rate complexity included sample entropy (SampEn) and Lempel-Ziv entropy (LZEn). HRR was calculated from a graded maximal exercise test as maximal heart rate attained during the test minus heart rate at 1 min after exercise (HRR). There was no change in SampEn, LZEn, or HRR after the time-control portion of the study (P > 0.05). SampEn (P < 0.05), LZEn (P < 0.05), and HRR (P < 0.05) increased after resistance training and returned to pretraining values after detraining. There was no change in spectral measures of HRV at any time point (P > 0.05). These findings suggest that resistance exercise training increases heart rate complexity and HRR after exercise but has no effect on spectral measures of HRV in young healthy men. These autonomic changes regress shortly after cessation of training.     

Respiratory influences on non-linear dynamics of heart rate variability in humans

 The goal of our study was to determine whether evidence for chaos in heart rate variability (HRV) can be observed when the respiratory input to the autonomic controller of heart rate is forced by the deterministic pattern associated with periodic breathing. We simultaneously recorded, in supine healthy volunteers, RR intervals and breathing volumes for 20 to 30 min (1024 data point series) during three protocols: rest (control), fixed breathing (15 breath/min) and voluntary periodic breathing (3 breaths with 2 s inspiration and 2 s expiration followed by an 8 s breath hold). On both the RR interval and breathing volume series we applied the non-linear prediction method (Sugihara and May algorithm) to the original time series and to distribution-conserved isospectral surrogate data. Our results showed that, in contrast to the control test, during both fixed and voluntary periodic breathing the variability of breathing volumes was clearly deterministic non-chaotic. During all the three protocols, the RR-interval series’ non-linear predictability was consistent with one of a chaotic series. However, at rest, no clear difference was observed between the RR-interval series and their surrogates, which means that no clear chaos was observed. During fixed breathing a difference appeared, and this difference seemed clearer during voluntary periodic breathing. We concluded that HRV dynamics were chaotic when respiration was forced with a deterministic non-chaotic pattern and that normal spontaneous respiratory influences might mask the normally chaotic pattern in HRV. Received: 7 August 1995 / Accepted in revised form: 20 March 1997     

Campodimele Study: Blood Pressure and Heart Rate Pattern in Clinically Healthy Elderly Subjects

Noninvasive ambulatory blood pressure (BP) monitoring is a developing method in clinical practice. Its interpretation needs reference standards stratified by age and gender. This study addresses ambulatory BP monitoring in elderly people with the purpose of quantifying the discrete and periodic variability of BP pattern over a 24-h period. The ABPM was performed in 92 clinically healthy subjects (45 men and 47 women) ranging in age from 76 to 102 years. The results refer to the time-qualified mean values with their dispersion, to the circadian rhythm with its parameters, and to the daily baric impact (BI) with its variability. The conclusion is drawn that BP preserves its nychtohemeral variability and circadian rhythmicity despite old age. The daily BP mean level and BI in older people in good health are comparable with those of young subjects, suggesting that humans surviving into old age are characterized by a eugenic control of their pressure regimen.     

Campodimele Study: Blood Pressure and Heart Rate Pattern in Clinically Healthy Elderly Subjects

Noninvasive ambulatory blood pressure (BP) monitoring is a developing method in clinical practice. Its interpretation needs reference standards stratified by age and gender. This study addresses ambulatory BP monitoring in elderly people with the purpose of quantifying the discrete and periodic variability of BP pattern over a 24-h period. The ABPM was performed in 92 clinically healthy subjects (45 men and 47 women) ranging in age from 76 to 102 years. The results refer to the time-qualified mean values with their dispersion, to the circadian rhythm with its parameters, and to the daily baric impact (BI) with its variability. The conclusion is drawn that BP preserves its nychtohemeral variability and circadian rhythmicity despite old age. The daily BP mean level and BI in older people in good health are comparable with those of young subjects, suggesting that humans surviving into old age are characterized by a eugenic control of their pressure regimen.     

Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation

Summary Nagumo's nerve conduction equation has a one-parameter family of spatially periodic travelling wave solutions. First, we prove the existence of these solutions by using a topological method. (There are some exceptional cases in which this method cannot be applied in showing the existence.) A periodic travelling wave solution corresponds to a closed orbit of a third-order dynamical system. The Poincaré index of the closed orbit is determined as a direct consequence of the proof of the existence. Second, we prove that the periodic travelling wave solution is unstable if the Poincaré index of the corresponding closed orbit is + 1. By using this result, together with the result of the author's previous paper, it is concluded that the slow periodic travelling wave solutions are always unstable. Third, we consider the stability of the fast periodic travelling wave solutions. We denote by L(c) the spatial period of the travelling wave solution with the propagation speed c. It is shown that the fast solution is unstable if its period is close to L_min, the minimum of L(c).     

Correlations Between the Manifestations of Autonomic Regulation Related to the Orthostatic Test and Physical Loading

In 30- to 45-year-old healthy men (workers of the coal mines), we studied using correlation analysis the interrelations between the manifestations of autonomic regulation of the heart rhythm related to the active orthostatic test (AOT) and the state of systemic circulation in the physical loading test (PhLT). It has been concluded that the pattern of correlations is determined by the direction of autonomic regulatory drives within a transitional period of the AOT. In the group of tested persons with clear domination of ergotropic reactions, the variation range and power of a slow wave component of the heart rhythm in the standing posture strictly correlated with the cardial stroke, peripheral resistance, vascular tone, myocardial tension, and aerobic productivity. In persons with relatively balanced ergotropic and trophotropic effects, the AOT transitional period was characterized by correlations of nearly all indices of autonomic regulation of the heart rhythm with the indices of central hemodynamics of the PhLT.     

A novel bursting mechanism of type a neurons in injured dorsal root ganglia

Using intracellular recording in vivo, the bursting behaviors were investigated in the neurons of chronically compressed dorsal root ganglia of the adult rat. In most cases, the first spike of a burst emerged from amplitude-increasing damped subthreshold membrane potential oscillation (SMPO) and the discharge terminated by an amplitude-decreasing damped SMPO. The rhythms of these bursting behaviors are all irregular. Since some researchers found that the stochastic dynamics can also produce similar bursting pattern, the deterministic dynamics of interevent interval (IEI) series obtained from raw membrane potential recording was detected by extraction of the hierarchy of unstable periodic orbits (UPOs) in the windowed IEI series. The results showed a number of statistically significant UPOs of order-one, order-two, and order-three. These orbits form a complex but predictable lattice of regions in which the dynamics of the bursting occurrence is deterministic. Based on a complete classification scheme, the investigated bursting can be depicted by the elliptic bursting dynamics. The significance of the finding that a neuron in the injured dorsal root ganglion has such dynamics is also discussed.