Complexity and characteristic frequency studies in ECG signals of mice based on multiple scale factors

Existing methods of physiological signal analysis based on nonlinear dynamic theories only examine the complexity difference of the signals under a single sampling frequency. We developed a technique to measure the multifractal characteristic parameter intimately associated with physiological activities through a frequency scale factor. This parameter is highly sensitive to physiological and pathological status. Mice received various drugs to imitate different physiological and pathological conditions, and the distributions of mass exponent spectrum curvature with scale factors from the electrocardiogram (ECG) signals of healthy and drug injected mice were determined. Next, we determined the characteristic frequency scope in which the signal was of the highest complexity and most sensitive to impaired cardiac function, and examined the relationships between heart rate, heartbeat dynamic complexity, and sensitive frequency scope of the ECG signal. We found that all animals exhibited a scale factor range in which the absolute magnitudes of ECG mass exponent spectrum curvature achieve the maximum, and this range (or frequency scope) is not changed with calculated data points or maximal coarse-grained scale factor. Further, the heart rate of mice was not necessarily associated with the nonlinear complexity of cardiac dynamics, but closely related to the most sensitive ECG frequency scope determined by characterization of this complex dynamic features for certain heartbeat conditions. Finally, we found that the health status of the hearts of mice was directly related to the heartbeat dynamic complexity, both of which were positively correlated within the scale factor around the extremum region of the multifractal parameter. With increasing heart rate, the sensitive frequency scope increased to a relatively high location. In conclusion, these data provide important theoretical and practical data for the early diagnosis of cardiac disorders.     

Chaotic Signatures of Heart Rate Variability and Its Power Spectrum in Health,Aging and Heart Failure

A paradox regarding the classic power spectral analysis of heart rate variability (HRV) is whether the characteristic high- (HF) and low-frequency (LF) spectral peaks represent stochastic or chaotic phenomena. Resolution of this fundamental issue is key to unraveling the mechanisms of HRV, which is critical to its proper use as a noninvasive marker for cardiac mortality risk assessment and stratification in congestive heart failure (CHF) and other cardiac dysfunctions. However, conventional techniques of nonlinear time series analysis generally lack sufficient sensitivity, specificity and robustness to discriminate chaos from random noise, much less quantify the chaos level. Here, we apply a ‘litmus test’ for heartbeat chaos based on a novel noise titration assay which affords a robust, specific, time-resolved and quantitative measure of the relative chaos level. Noise titration of running short-segment Holter tachograms from healthy subjects revealed circadian-dependent (or sleep/wake-dependent) heartbeat chaos that was linked to the HF component (respiratory sinus arrhythmia). The relative ‘HF chaos’ levels were similar in young and elderly subjects despite proportional age-related decreases in HF and LF power. In contrast, the near-regular heartbeat in CHF patients was primarily nonchaotic except punctuated by undetected ectopic beats and other abnormal beats, causing transient chaos. Such profound circadian-, age- and CHF-dependent changes in the chaotic and spectral characteristics of HRV were accompanied by little changes in approximate entropy, a measure of signal irregularity. The salient chaotic signatures of HRV in these subject groups reveal distinct autonomic, cardiac, respiratory and circadian/sleep-wake mechanisms that distinguish health and aging from CHF.     

Noninvasive technique for measurement of heartbeat regularity in zebrafish (Danio rerio) embryos

Background  

Zebrafish (Danio rerio), due to its optical accessibility and similarity to human, has emerged as model organism for cardiac research. Although various methods have been developed to assess cardiac functions in zebrafish embryos, there lacks a method to assess heartbeat regularity in blood vessels. Heartbeat regularity is an important parameter for cardiac function and is associated with cardiotoxicity in human being. Using stereomicroscope and digital video camera, we have developed a simple, noninvasive method to measure the heart rate and heartbeat regularity in peripheral blood vessels. Anesthetized embryos were mounted laterally in agarose on a slide and the caudal blood circulation of zebrafish embryo was video-recorded under stereomicroscope and the data was analyzed by custom-made software. The heart rate was determined by digital motion analysis and power spectral analysis through extraction of frequency characteristics of the cardiac rhythm. The heartbeat regularity, defined as the rhythmicity index, was determined by short-time Fourier Transform analysis.     

Snake modulates constriction in response to prey's heartbeat

Many species of snakes use constriction-the act of applying pressure via loops of their trunk-to subdue and kill their prey. Constriction is costly and snakes must therefore constrict their prey just long enough to ensure death. However, it remains unknown how snakes determine when their prey is dead. Here, we demonstrate that boas (Boa constrictor) have the remarkable ability to detect a heartbeat in their prey and, based on this signal, modify the pressure and duration of constriction accordingly. We monitored pressure generated by snakes as they struck and constricted warm cadaveric rats instrumented with a simulated heart. Snakes responded to the beating heart by constricting longer and with greater total pressure than when constricting rats with no heartbeat. When the heart was stopped midway through the constriction, snakes abandoned constriction shortly after the heartbeat ceased. Furthermore, snakes naive to live prey also responded to the simulated heart, suggesting that this behaviour is at least partly innate. These results are an example of how snakes integrate physiological cues from their prey to modulate a complex and ancient behavioural pattern.     

Heartbeat patterns during the postembryonic development of Drosophila melanogaster

Pulsations of the dorsal vessel were recorded in vivo during the whole postembryonic development of D. melanogaster, by means of a newly invented, pulse-light opto-cardiographic method. The young larvae of the 1st and 2nd instars submerged in the feeding medium exhibited extremely high rates of heartbeat, 7Hz at room temperature. These values are among the highest rates of heartbeat ever recorded in the animal kingdom. The fully grown larvae of the 3rd instar showed approximately half of the maximum heartbeat rate (3.5-4Hz), which became stabilized after pupariation to 2.5-2.7Hz.The larval heartbeat was always uni-directional, in the forward-oriented or anterograde direction and it was almost continuous. The slowly disintegrating, old larval heart used to beat at the constant frequency of 2.5-2.7Hz until complete cessation of all cardiac functions in 1-day-old puparium. In spite of the persisting constant heartbeat frequency, the transformation process of the larval heart was associated with successively decreasing amplitude of the systolic contractions and with the prolongation of the resting periods. The newly formed heart of the pupal-adult structure exhibited a qualitatively new pattern of heartbeat activity, which was manifested by periodic reversal of the heartbeat with the faster anterograde and slower retrograde phases. The frequencies of both of these reciprocal cardiac pulsations gradually increased during the advanced pharate adult period, reaching the values of 4-5Hz at the time of adult eclosion. Adult males and females also exhibited a perfect pattern of heartbeat reversal, with still very high rates of the anterograde heartbeat, in the range of 5-6Hz. In addition to the cardiac functions, we have recorded several kinds of extracardiac pulsations, which often interfered severely with the recordings of the heartbeat. There were strong, irregular extracardiac pulsations of a neurogenic nature (somatic muscles, oral armature) and relatively slow extracardiac pulsations of a myogenic nature (intestinal peristaltics, 0.2-0.3Hz). The extracardiac and cardiac pulsations were independent, their functions were not correlated. A possibility of creating new challenges in combination of molecular biology with the functional physiology of the heart have been discussed.     

Joint dynamic imaging of morphogenesis and function in the developing heart

In the developing heart, time-lapse imaging is particularly challenging. Changes in heart morphology due to tissue growth or long-term reorganization are difficult to follow because they are much subtler than the rapid shape changes induced by the heartbeat. Therefore, imaging heart development usually requires slowing or stopping the heart. This, however, leads to information loss about the unperturbed heart shape and the dynamics of heart function. To overcome this limitation, we have developed a non-invasive heart imaging technique to jointly document heart function (at fixed stages of development) as well as its morphogenesis (at any fixed phase in the heartbeat) that does not require stopping or slowing the heart. We review the challenges for imaging heart development and our methodology, which is based on computationally combining and analyzing multiple high-speed image sequences acquired throughout the course of development. We present results obtained in the developing zebrafish heart. Image analysis of the acquired data yielded blood flow velocity maps and made it possible to follow the relative movement of individual cells over several hours.     

Joint dynamic imaging of morphogenesis and function in the developing heart

In the developing heart, time-lapse imaging is particularly challenging. Changes in heart morphology due to tissue growth or long-term reorganization are difficult to follow because they are much subtler than the rapid shape changes induced by the heartbeat. Therefore, imaging heart development usually requires slowing or stopping the heart. This, however, leads to information loss about the unperturbed heart shape and the dynamics of heart function. To overcome this limitation, we have developed a non-invasive heart imaging technique to jointly document heart function (at fixed stages of development) as well as its morphogenesis (at any fixed phase in the heartbeat) that does not require stopping or slowing the heart. We review the challenges for imaging heart development and our methodology, which is based on computationally combining and analyzing multiple high-speed image sequences acquired throughout the course of development. We present results obtained in the developing zebrafish heart. Image analysis of the acquired data yielded blood flow velocity maps and made it possible to follow the relative movement of individual cells over several hours.Key words: cardiac imaging, zebrafish, fluorescence imaging, heart development, registration, fast imaging     

A morphology alignment method for resampled heartbeat signals

A morphology alignment method for digital heartbeat signals of a person is proposed. In this method, a heartbeat is delineated into stable and flexible segments which are resampled at two different rates and then concatenated again. A resampling rate is decided based on the analysis of spatial error introduced by the interpolation method. Baseline shift of the resampled heartbeat is removed by amplitude normalization. The alignment of resampled heartbeat by this piecewise-uniform resampling method is then compared with those by uniform and non-uniform resampling methods. Four different morphological features are extracted from resampled heartbeats by each of three methods. Improvement of alignment is evaluated by to two metrics known as morphology alignment score and correlation coefficient. The method is tested on ECG signals obtained from two publicly available databases having different sampling frequencies. Statistical analyses suggest that the piecewise-uniform resampling method improves the alignment of morphology significantly. Computational time for the alignment is linear to the number of samples in a heartbeat and hence the method should be efficient enough for different practical applications using morphological features for automatic classification and decision making.     

Onset of heartbeat revealed by successive structural changes in the developing single embryonic heart of the waterstrider (Gerris paludum insularis)

Videofilm images of the heartbeat in the living embryos of the waterstrider, Gerris paludum insularis, were analyzed to demonstrate successive changes in the width of the contractile heart at the different developmental stages. This information is graphically represented and termed structural cardiogram. Onset of the embryonic heartbeat characterized by anteriorly spreading peristaltic movement of the heart wall occurs at about 55% HL (percent heart length) as early as at about 81 h after katatrepsis (K+81 h embryo). This peristaltic wave occurs almost always following swinging movement of abdominal tip observed exclusively at this stage. Similar peristaltic wave of the heart wall may also be observed at later stages, exclusively in the anterior two-fifth of the heart. Conduction velocity of the peristaltic wave estimated from structural cardiogram of K+81 h embryo was approximately 0.57 mm/s; it was approximately 1.33 mm/s in the K+102 h embryos. In the posterior three-fifth of the heart, however, rhythmic movement was not peristaltic. Development of heartbeat generator in the specific region of the heart was discussed in relation to the onset of embryonic heartbeat.     

Spontaneous and repetitive cardiac slowdown in the freely moving spiny lobster, Panulirus japonicus

The fluctuation of heartbeat interval was investigated to assess cardio-regulatory nervous function in freely moving spiny lobsters. This was performed by time series analysis of the heartbeat interval recorded from restrained animals, freely moving animals, and isolated hearts. The heart rate of freely moving animals exhibited on/off switching: i.e., an elevated and maintained rate was repetitively interrupted by periods of decreased rate. Each period was initiated by a sudden decrease in rate and was terminated by an exponential return to normal activity. In order to explain this characteristic change in heart rate, we have constructed a neurotransmitter release-reuptake model for such bi-stable activity of cardio-regulatory nerves. The model was successful in reproducing the characteristic observed fluctuation. In freely moving animals, the brain seems to regulate the heart through the inhibitory nerve in an "on/off" manner. In the hearts of restrained animals and isolated hearts, the heart rate exhibited white-noise like fluctuation. This implies that stress impairs the normal bi-stable regulatory mode.     

Observations of cardiac beating behaviors of wild‐type and mutant Drosophilae with optical coherence tomography

Time‐resolved optical coherence tomography (OCT) scanning images of wild‐type and mutant fruit flies (Drosophila melanogaster), illustrating the heartbeat patterns for evaluating their cardiac functions, are demonstrated. Based on the heartbeat patterns, the beat rate and the relative phase between the first two heart segments can be evaluated. The OCT scanning results of mutant flies with impaired proteasome function in cardiac muscles show irregular heartbeat patterns and systematically decreased average beat rates, when compared with the regular patterns of ～4.97 beats/s in average beat rate of the wild‐type. In both wild‐type and proteasome mutant flies, the beatings at different locations in the same heart segment are essentially synchronized. However, between different heart segments, although the beating in the second segment shows a lag in phase behind that of the first segment in a wild‐type, in a proteasome mutant, the beating in the second segment becomes significantly leading that of the first segment. Besides the comparison between the wild‐type and proteasomal mutant flies, the influences of using different methods for immobilizing flies during OCT scanning on the heart functions are demonstrated. (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Inhibition of ion channels and heart beat in Drosophila by selective COX-2 inhibitor SC-791

Recent findings suggest that modulation of ion channels might be implicated in some of the clinical effects of coxibs, selective inhibitors of cyclooxygenase-2 (COX-2). Celecoxib and its inactive analog 2,5-dimethyl-celecoxib, but not rofecoxib, can suppress or augment ionic currents and alter functioning of neurons and myocytes. To better understand these unexpected effects, we have recently investigated the mechanism of inhibition of human K(v)2.1 channels by a highly selective COX-2 inhibitor SC-791. In this study we have further explored the SC-791 action on ion channels and heartbeat in Drosophila, which lacks cyclooxygenases and thus can serve as a convenient model to study COX-2-independent mechanisms of coxibs. Using intracellular recordings in combination with a pharmacological approach and utilizing available Drosophila mutants, we found that SC-791 inhibited voltage-activated K(+) and L-type Ca(2+) channels in larval body-wall muscles and reduced heart rate in a concentration-dependent manner. Unlike celecoxib and several other K(+) channel blockers, SC-791 did not induce arrhythmia. Instead, application of SC-791 resulted in a dramatic slowing of contractions and, at higher concentrations, in progressively weaker contractions with gradual cessation of heartbeat. Isradipine, a selective blocker of L-type Ca(2+) channels, showed a similar pattern of heart arrest, though no prolongation of contractions was observed. Ryanodine was the only channel modulating compound of those tested additionally that was capable of slowing contractions. Like SC-791, ryanodine reduced heart rate without arrhythmia. However, it could not stop heartbeat completely even at 500 μM, the highest concentration used. The magnitude of heart rate reduction, when SC-791 and ryanodine were applied together, was smaller than expected for independent mechanisms, raising the possibility that SC-791 might be interfering with excitation-contraction coupling in Drosophila heart.     

Changes in ECG and enzyme activity in rat heart after myocardial infarction: effect of TPP and MnCl2

Heart infarction is one of the main causes of death in the human population. Assurance of a sufficient level of bioenergetic processes is very important for the heart after infarction. Mn²⁺ as well as thiamine pyrophosphate (TPP) are positive effectors of the pyruvate dehydrogenase complex (PDH) and the 2-oxoglutarate dehydrogenase complex (OGDH), both of which play a very important role in the Krebs cycle. Thus, we have established the effect of MnCl₂ (10mg/kg) and TPP (20mg/kg)-4 injections every 12 h-on the activity of PDH, OGDH, lactate dehydrogenase (LDH) and malate dehydrogenase (MDH). Additionally, we perform an analysis of ECG to affirm the changes in the heart electrophysiology of healthy rats after MnCl₂ and TPP treatment. We then analyzed changes in the activity of these enzymes after experimental myocardial infarction in rats. We observed a decrease of OGDH and MDH activity in rat hearts after infarction in comparison, with sham-operated rats. Treatment of healthy rats with MnCl₂ caused an increase of OGDH activity. Moreover both MnCl₂ and TPP caused an increase of PDH activity and a decrease of MDH activity (TPP revealed a stronger effect). We found no changes in LDH activity. Electrocardiography data showed a slight shortening of the QT interval and an enhanced heartbeat rate after treatment with MnCl₂. TPP caused only elongation of the QT interval. In conclusion, application of MnCl₂ enhanced the activity of some very important enzymes in the respiration process (PDH and OGDH). This effect, connected with enhanced heartbeat and a slightly shortened ventricle relaxation, may have potential application during the key period of convalescence following heart infarction.     

Heart rate regulation processed through wavelet analysis and change detection: some case studies

Heart rate variability (HRV) is an indicator of the regulation of the heart, see Task Force (Circulation 93(5):1043-1065, 1996). This study compares the regulation of the heart in two cases of healthy subjects within real life situations: Marathon runners and shift workers. After an update on the state of the art on HRV processing, we specify our probabilistic model: We choose modeling heartbeat series by locally stationary Gaussian process (Dahlhaus in Ann Stat 25, 1997). HRV is then processed by the combination of two statistical methods: (1) Continuous wavelet transform for calculating the spectral density energy in the high frequency (HF) and low frequency (LF) bands and (2) Change point analysis to detect changes of heart regulation. Next, we plot the variations of the HF and LF energy in extreme conditions for both populations. This puts in light, that physical activities (rest, moderate sport, marathon race) can be ordered in a logical continuum. This allows to define a new index based on HF and LF energy that is log HF + log LF which appears relevant to measure HR regulation. The results obtained are pertinent but have to be completed by further studies.     

Studies on the cardiac physiology of Onychophora and Chilopoda

Cardiac physiology in Onychophora and Chilopoda has not yet been studied by electrophysiological methods. Here we present ECGs and the first intracellular recordings from dorsal vessel muscle cells in Scolopendra cingulata, Lithobius forficatus and Peripatopsis sp. In Onychophora, a myogenic automatism generates the heart function. In the Chilopoda examined, heartbeat is triggered by a neurogenic automatism that is superimposed over a basic myogenic rhythm, which occurs under experimental conditions. The neuropeptide proctolin and the head peptide have no significant effects in the species investigated. The results are discussed from the viewpoints of comparative physiology and phylogenetics.     

Estimation of Instantaneous Complex Dynamics through Lyapunov Exponents: A Study on Heartbeat Dynamics

Measures of nonlinearity and complexity, and in particular the study of Lyapunov exponents, have been increasingly used to characterize dynamical properties of a wide range of biological nonlinear systems, including cardiovascular control. In this work, we present a novel methodology able to effectively estimate the Lyapunov spectrum of a series of stochastic events in an instantaneous fashion. The paradigm relies on a novel point-process high-order nonlinear model of the event series dynamics. The long-term information is taken into account by expanding the linear, quadratic, and cubic Wiener-Volterra kernels with the orthonormal Laguerre basis functions. Applications to synthetic data such as the Hénon map and Rössler attractor, as well as two experimental heartbeat interval datasets (i.e., healthy subjects undergoing postural changes and patients with severe cardiac heart failure), focus on estimation and tracking of the Instantaneous Dominant Lyapunov Exponent (IDLE). The novel cardiovascular assessment demonstrates that our method is able to effectively and instantaneously track the nonlinear autonomic control dynamics, allowing for complexity variability estimations.     

Abdominal movements, heartbeats and gas exchange in pupae of the Colorado potato beetle, Leptinotarsa decemlineata

The rhythms of abdominal movements, heartbeats and gas exchange in the pupae of Leptiontarsa decemlineata (Say) were recorded simultaneously using an electrolytic respirometer and infrared gas analyser, both combined with contact thermography. Abdominal pulsations and heartbeat occurred periodically with little variance among individuals. The abdominal pulsations and heartbeat pauses varied individually within large limits, with the frequency of abdominal pulsations being six to seven times lower than that of the heart pulses. A proportion of the pupae (20%) showed discontinuous gas exchange with large, actively ventilated CO₂ bursts, whereas others (≈ 25%) exhibited continuous regular microcycles (flutter) with abrupt intake of air into the tracheae before discrete microbursts of carbon dioxide. The abdominal pulsations exerted only a minor influence on ventilation during the microcycles. More than 90% of the bursts of abdominal movement coincided with a series of forward directed heartbeats, but interspersed between the bouts of abdominal movement commonly two to three heartbeat pulses were observed that were not associated with abdominal movements. A period of abdominal movement associated with a heartbeat pulse was commonly initiated by one or two vigorous strokes of abdominal rotation.     

Exogenous hydrogen peroxide as a possible messenger for the stimulation effect of magnetized physiological solution on heart contractility

The dual effect of magnetized physiological solution (MPS) on snail heart muscle contractility (muscle relaxation and stimulation of heartbeat) was shown previously. The MPS-induced relaxation of the heart muscle has been explained by activation of cGMP-dependent Ca(2+) effluxes from the muscle; however, the mechanism of the stimulating effect of MPS on heartbeat remains unclear. As in the presence of paramagnetic oxygen molecules, magnetic fields could generate the exogenous reactive oxygen species such as hydrogen peroxide (H(2)O(2)), we hypothesize that H(2)O(2) may play a role as the possible messengers through which the activation effect of MPS on heartbeat is realized. To test this hypothesis, the dose-dependent effects of exogenous H(2)O(2) on heart muscle contractility and (45)Ca uptake were studied. Here we compared the obtained data with the previous results of the effects of MPS on heart muscle contractility and (45)Ca uptake. We found that exogenous H(2)O(2) and MPS have similar effects on Na(+)-K(+) pump-induced transient inhibition of muscle contractility and (45)Ca uptake. The Na(+)-K(+) pump-induced depression of H(2)O(2)-sensitivity of muscle contractility is determined by activation of Ca(2+) efflux from the cell. On the basis of these data we suggest the exogenous H(2)O(2) as a possible messenger through which the stimulation effect of MPS on heart muscle is realized.