Simulation analysis of excitation conduction in the heart: Propagation of excitation in different tissues

The normal excitation and conduction in the heart are maintained by the coordination between the dynamics of ionic conductance of each cell and the electrical coupling between cells. To examine functional roles of these two factors, we proposed a spatially-discrete model of conduction of excitation in which the individual cells were assumed isopotential. This approximation was reasoned by comparing the apparent space constant with the measured junctional resistance between myocardial cells. We used the four reconstruction models previously reported for five kinds of myocardial cells. Coupling coefficients between adjacent cells were determined quantitatively from the apparent space constants. We first investigated to what extent the pacemaker activity of the sinoatrial node depends on the number and the coupling coefficient of its cells, by using a one-dimensional model system composed of the sinoatrial node cells and the atrial cells. Extensive computer simulation revealed the following two conditions for the pacemaker activity of the sinoatrial node. The number of the sinoatrial node cells and their coupling coefficients must be large enough to provide the atrium with the sufficient electric current flow. The number of the sinoatrial node cells must be large so that the period of the compound system is close to the intrinsic period of the sinoatrial node cell. In this simulation the same sinoatrial node cells produced action potentials of different shapes depending on where they were located in the sinoatrial node. Therefore it seems premature to classify the myocardial cells only from their waveforms obtained by electrical recordings in the compound tissue. Second, we investigated the very slow conduction in the atrioventricular node compared to, for example, the ventricle. This was assumed to be due to the inherent property of the membrane dynamics of the atrioventricular node cell, or to the small value of the coupling coefficient (weak intercellular coupling), or to the electrical load imposed on the atrioventricular node by the Purkinje fibers, because the relatively small atrioventricular node must provide the Purkinje fibers with sufficient electric current flow. Relative contributions of these three factors to the slow conduction were evaluated using the model system composed of only the atrioventricular cells or that composed of the atrioventricular and Purkinje cells. We found that the weak coupling has the strongest effect. In the model system composed of the atrioventricular cells, the propagation failure was not observed even for very small values of the coupling coefficient.(ABSTRACT TRUNCATED AT 400 WORDS)     

Is sodium current present in human sinoatrial node cells?

Pacemaker activity of the sinoatrial node has been studied extensively in various animal species, but is virtually unexplored in man. As such, it is unknown whether the fast sodium current (I_Na) plays a role in the pacemaker activity of the human sinoatrial node. Recently, we had the unique opportunity to perform patch-clamp experiments on single pacemaker cells isolated from a human sinoatrial node. In 2 out of the 3 cells measured, we observed large inward currents with characteristics of I_Na. Although we were unable to analyze the current in detail, our findings provide strong evidence that I_Na is present in human sinoatrial node pacemaker cells, and that this I_Na is functionally available at potentials negative to -60 mV.     

Beating irregularity of single pacemaker cells isolated from the rabbit sinoatrial node.

Single pacemaker heart cells discharge irregularly. Data on fluctuations in interbeat interval of single pacemaker cells isolated from the rabbit sinoatrial node are presented. The coefficient of variation of the interbeat interval is quite small, approximately 2%, even though the coefficient of variation of diastolic depolarization rate is approximately 15%. It has been hypothesized that random fluctuations in interbeat interval arise from the stochastic behavior of the membrane ionic channels. To test this hypothesis, we constructed a single channel model of a single pacemaker cell isolated from the rabbit sinoatrial node, i.e., a model into which the stochastic open-close kinetics of the individual membrane ionic channels are incorporated. Single channel conductances as well as single channel open and closed lifetimes are based on experimental data from whole cell and single channel experiments that have been published in the past decade. Fluctuations in action potential parameters of the model cell are compared with those observed experimentally. It is concluded that fluctuations in interbeat interval of single sinoatrial node pacemaker cells indeed are due to the stochastic open-close kinetics of the membrane ionic channels.     

NO is involved in MCh-induced accentuated antagonism via type II PDE in the canine blood-perfused SA node

The possible role of type II (cGMP-stimulated cAMP hydrolysis) phosphodiesterase (PDE) in the accentuated antagonism of muscarinic effects on heart rate during beta-stimulation via endogenous nitric oxide (NO) was evaluated. The canine isolated sinoatrial node preparation was cross circulated with arterial blood of a support dog. The sinoatrial rate of the preparation was 96 +/- 5 beats/min (n = 16) at control. Methacholine (MCh; 0.01-1 microg) injected into the right coronary artery in a bolus fashion caused dose-dependent decreases in sinoatrial rate. Under an intra-arterial infusion of isoproterenol (1 microM), resulting in approximately 50% increase in sinoatrial rate, MCh-induced decreases were markedly augmented from -18 +/- 3% to -44 +/- 4% at 0.3 mg of MCh. When N(G)-nitro-L-arginine methyl ester (100 microM) or N(G)-monomethyl-L-arginine (100 microM) were continuously infused, the augmented MCh-induced decreases in sinoatrial rate were significantly suppressed (-29 +/- 3% or -25 +/- 3%, respectively, P < 0.01). Pretreatment with either 3-isobutyl-1-methylxanthine (IBMX; 20 microM), a non-selective PDE inhibitor, or amrinone (20 microM), a selective type III (cGMP inhibited cAMP hydrolysis) PDE inhibitor, doubled the isoproterenol-induced increase in the sinoatrial rate. However, the augmented MCh-induced decreases in sinoatrial rate were significantly depressed by IBMX (from -23 +/- 5% to -14 +/- 1%, P < 0.01) but not by amrinone (to -20 +/- 3%). These results suggest that MCh-induced accentuated antagonism in the sinoatrial node pacemaker activity can be modulated by endogenous NO via an activation of the type II cyclic GMP-stimulated cAMP PDE.     

Investigation of the synchronization of the sinoatrial node upon stimulation from atria

The excitation of the sinoatrial node from frog heart atria has been experimentally investigated. Potentials were measured by means of microelectrodes introduced in pacemaker cells of the sinoatrial node. It has been found that atria can modulate the rhythm of the sinoatrial node due to electric and electromechanical actions, among which the electromechanical action is more important. Specific transient processes accompanying the establishment of the stationary rhythm have been studied. A mathematical model of the transient processes of achieving the rhythm of the sinoatrial node is proposed on the basis of Diophantine methods. The calculations performed using the mathematical model satisfactorily agree with the experimental results. The stabilizing role of atria in forming the rhythm of the sinoatrial node is revealed.     

Morphological study of the innervation pattern of the rabbit sinoatrial node

The pattern of nerves, ganglia, and fine nerve processes in the adult rabbit sinoatrial node, identified by microelectrode recording, was defined by staining histochemically for cholinesterase followed by silver impregnation. A generalized repeatable pattern of innervation was recognized, including 1) a large ganglionic complex inferior to the sinoatrial node; 2) two or three moderately large nerves traversing the sinoatrial node parallel to the crista terminalis; 3) nerves entering the region from the atrial septum, the superior vena cava, and the inferior vena cava; and 4) a fine network of nerve processes, particularly extensive in the morphologically dense small-cell part of the sinoatrial node. When the site of initial depolarization in the node was located and marked by a broken-off electrode tip, it was found, after cholinesterase staining, to be characterized by a cluster of cells enclosed in a nest or basket of fine nerves. Similar nested cell clusters were observed elsewhere in the sinoatrial node in this same preparation and in other hearts. A complex interweaving of atrial muscle fibers was observed medial and inferomedial to the sinoatrial node, which may form the anatomical basis for the lack of conduction through this region. The morphological pattern of nerves, ganglia, and myocardial cells described in this study emphasizes the complexity of innervation of the sinoatrial node, including its intrinsic neural elements. Cholinesterase/silver staining can be useful in the definition and comparison of electrophysiologically identified sites within the sinoatrial node.     

Rhythmogenesis in the sinoatrial unit of the heart

The most significant experimental data about the formation of a uniform rhythm of the sinoatrial unit of the heart for both the intact sinoatrial unit of the heart and cardiomyocytes in cellular structures are presented. The basic mathematical models for studying the processes of synchronization in the sinoatrial unit of the heart are described, including equations of Noble, Bonhoffer, and van der Pol and modified axiomatic models. The basic results obtained using the mathematical models are presented. The major reasons influencing the formation of a uniform rhythm were revealed: the form of a potential pacemaker in the phase of slow diastolic depolarization, its porosity, the force of connection between pacemaker and electric capacity of pacemakers. A study of rhythmogenisis on the basis of the modified axiomatic model was carrud out. The method allows one to calculate the uniform rhythm of the sinoatrial unit of the heart in view of the mutual influence of pacemaker cells, including the force of connection, electric capacity of cells, their possible clusterization. It was shown that generally the uniform rhythm of the sinoatrial unit of the heart is formed on an intermediate level of all pacemaker cells.     

Horseradish peroxidase localization of sympathetic postganglionic and parasympathetic preganglionic neurons innervating the monkey heart

The localization of the sympathetic postganglionic and parasympathetic preganglionic neurons innervating the monkey heart were investigated through retrograde axonal transport with horseradish peroxidase (HRP). HRP (4 mg or 30 mg) was injected into the subepicardial and myocardial layers in four different cardiac regions. The animals were euthanized 84-96 hours later and fixed by paraformaldehyde perfusion via the left ventricle. The brain stem and the paravertebral sympathetic ganglia from the superior cervical, middle cervical, and stellate ganglia down to the T9 ganglia were removed and processed for HRP identification. Following injection of HRP into the apex of the heart, the sinoatrial nodal region, or the right ventricle, HRP-labeled sympathetic neurons were found exclusively in the right superior cervical ganglion (64.8%) or in the left superior cervical ganglion (35%). Fewer labeled cells were found in the right stellate ganglia. After HRP injection into the left ventricle, labeled sympathetic cells were found chiefly in the left superior cervical ganglion (51%) or in the right superior cervical ganglion (38.6%); a few labeled cells were seen in the stellate ganglion bilaterally and in the left middle cervical ganglion. Also, in response to administration of HRP into the anterior part of the apex, anterior middle part of the right ventricle, posterior upper part of the left ventricle, or sinoatrial nodal region, HRP-labeled parasympathetic neurons were found in the nucleus ambiguus on both the right (74.8%) and left (25.2%) sides. No HRP-labeled cells were found in the dorsal motor nucleus of the vagus on either side.     

Rhythmogenesis in the heart sinoatrial node

The most significant experimental data on the formation of the common rhythm of the heart sinoatrial node are presented for both the intact heart sinoatrial node and cardiomyocytes in cell structures. The basic mathematical models for studying the synchronization processes in the sinoatrial node, including the Noble equation, Bonhoffer-van der Pol model, and modified axiomatic models, are described. The basic results obtained with the mathematical models are presented. The most important causes affecting the formation of the common rhythm—the pacemaker potential shape in the slow diastolic depolarization phase, its porosity, the coupling force between pacemakers, and the electrical power of pacemakers—are revealed. Rhythmogenesis is studied using the modified axiomatic model. The method allows the calculation of the common rhythm of the sinoatrial node, with allowance for the mutual effect of the pacemaker cells, including the coupling force, electric power of cells, and possibility of the cells clustering. It has been shown that the common rhythm of the sinoatrial node is generally formed at the intermediate level of the rhythms of all pacemaker cells.     

Selected contribution: axial stretch increases spontaneous pacemaker activity in rabbit isolated sinoatrial node cells.

Isolated, spontaneously beating rabbit sinoatrial node cells were subjected to longitudinal stretch, using carbon fibers attached to both ends of the cell. Their electrical behavior was studied simultaneously in current-clamp or voltage-clamp mode using the perforated patch configuration. Moderate stretch ( approximately 7%) caused an increase in spontaneous beating rate (by approximately 5%) and a reduction in maximum diastolic and systolic potentials (by approximately 2.5%), as seen in multicellular preparations. Mathematical modeling of the stretch intervention showed the experimental results to be compatible with stretch activation of cation nonselective ion channels, similar to those found in other cardiac cell populations. Voltage-clamp experiments validated the presence of a stretch-induced current component with a reversal potential near -11 mV. These data confirm, for the first time, that the positive chronotropic response of the heart to stretch is, at least in part, encoded on the level of individual sinoatrial node pacemaker cells; all reported data are in agreement with a major contribution of stretch-activated cation nonselective channels to this response.     

Changes in conduction within the diffuse sinoatrial node of the chicken following premature atrial stimulation

Premature atrial stimulation was used to estimate sinoatrial conduction within the diffuse sinoatrial node of the bird (chicken), and compare its conduction with that reported for mammals. While sinoatrial conduction could not be determined in the chicken because reset did not occur, the premature wavefront did have an effect on the sinoatrial node because the recovery interval following the premature stimulus became less than compensatory with shortening of the premature stimulus interval. This less than compensatory non-reset recovery interval is interpreted as a conduction dependent response in which the intrinsic wavefront leading to the first recovery atrial activation conducts out of the node faster than normal. This conduction dependent recovery interval is seen infrequently in mammals (rabbit, dog and man). The absence of reset and the presence of a less than compensatory non-reset response in the chicken suggests that while the general organization of the sinoatrial node of the chicken is similar to that in mammals, a larger transitional cell network in the chicken prevents a premature wavefront from reaching the pacemaker cells and resetting them.     

Immunocytochemical demonstration of the equilibrative nucleoside transporter rENT1 in rat sinoatrial node.

Adenosine exerts multiple receptor-mediated effects in the heart, including a negative chronotropic effect on the sinoatrial node. The aim of this study was to investigate the distribution of the equilibrative nucleoside transporter rENT1 in rat sinoatrial node and atrial muscle. Immunocytochemistry and/or immunoblotting revealed abundant expression of this protein in plasma membranes of sinoatrial node and in atrial and ventricular cells. Because rENT1-mediated transport is likely to regulate the local concentrations of adenosine in the sinoatrial node and other parts of the heart, it represents a potential pharmacological target that might be exploited to ameliorate ischemic damage during heart surgery.     

Interbeat Interval Modulation in the Sinoatrial Node as a Result of Membrane Current Stochasticity—A Theoretical and Numerical Study

A single isolated sinoatrial pacemaker cell presents intrinsic interbeat interval (IBI) variability that is believed to result from the stochastic characteristics of the opening and closing processes of membrane ion channels. To our knowledge, a novel mathematical framework was developed in this work to address the effect of current fluctuations on the IBIs of sinoatrial pacemaker cells. Using statistical modeling and employing the Fokker-Planck formalism, our mathematical analysis suggests that increased stochastic current fluctuation variance linearly increases the slope of phase-4 depolarization, hence the rate of activations. Single-cell and two-dimensional computerized numerical modeling of the sinoatrial node was conducted to validate the theoretical predictions using established ionic kinetics of the rabbit pacemaker and atrial cells. Our models also provide, to our knowledge, a novel complementary or alternative explanation to recent experimental observations showing a strong reduction in the mean IBI of Cx30 deficient mice in comparison to wild-types, not fully explicable by the effects of intercellular decoupling.     

The effects of intracellular calcium dynamics on the electrical activity of the cells of the sinoatrial node

We studied the effects of intracellular calcium dynamics on the spontaneous activity of the pacemaker cells using mathematical modeling. We compared the responses to the suppression of L-type calcium currents in several models of the electrical activity of cells of the sinoatrial node. All models showed a decrease in the maximum depolarization rate, the amplitude of action potentials, and the duration of the action potential. The model of the calcium clock showed an increase in the oscillation period by 12%. Models with the spontaneous activity, which is determined by the current activated by hyperpolarization, showed a decrease of the oscillation period by 15%. The comparison of the theoretic results with the experimental data showed that intracellular mechanisms had a different input in the spontaneous activity of pacemakers in the center and periphery of the sinoatrial node.     

A study of synchronization of the sinus unit upon stimulation from auricles

The excitation of the sinoatrial unit from heart auricles of the frog has been studied. Potentials were recorded by means of microelectrodes inserted to pacemaker of the sinoatrial unit. It has been established that auricles can impart the rhythm to the sinoatrial unit due to electric and electromechanical influence, and electromechanical influence is of greater significance. Specific transitions accompanying the establishment of the stationary rhythm have been studied. A mathematical model of transitions of the establishment of the rhythm of the sinoatrial unit, which is based on diophant methods is offered. The catculations performed by means of the mathematical model coincide well with results of experimental studies. The stabilizing role of auricles in the formation of the rhythm of the sinoatrial unit has been established.     

Anisomorphic cell division by African trypanosomes

In the bloodstream of a mammalian host, African trypanosomes are pleomorphic; the shorter, non-proliferative, stumpy forms arise from longer, proliferative, slender forms with differentiation occurring via a range of morphological intermediates. In order to investigate how the onset of morphological change is co-ordinated with exit from the cell cycle we first characterized slender form cell division. Outgrowth of the new flagellum was found to occur at a linear rate, so by using outgrowth of the new flagellum as a temporal marker of the cell cycle we were able determine the order in which single copy organelles (nucleus, kinetoplast and mitochondrion) were segregated. We also found that flagellar length was an effective marker of the slender to stumpy differentiation and were, therefore, able to study both cell division and differentiation. When these differentiating cells were compared to cells undergoing proliferative cell division, they were found to be anisomorphic – showing discernible differences not only in the length of their new flagella but also in the shape and size of the cells and their nuclei.     

A new method for isolation of leukocytes from the peripheral blood of amphibians [Bufo himalayanus, (Gunther)] and study of their surface morphology by scanning electron microscopy

Using percoll as the density gradient, a new single step method to isolate leukocytes from the peripheral blood of amphibians (B. himalayanus) has been described. Isolated leukocytes were photographed under the scanning electron microscope and an attempt has been made to characterize the leukocyte population on the basis of surface morphology. Apart from regular blood cell types, B. himalayanus have slender, elongated and slightly curved leukocyte type cells in their peripheral blood. Such slender elongated cells were absent in the blood of a related species B. stomnaticus and hence could not be categorized under the known blood cell types.     

Evaluation of Rhodamine 123 As A Probe For Monitoring Mitochondrial Function In Trypanosoma Brucei Spp.

ABSTRACT. Rhodamine 123, a membrane potential-specific dye, has been evaluated as a probe to monitor the function of the mitochondrion in long slender bloodstream and procyclic trypomastigotes of several Trypanosoma brucei spp. By epifluorescence microscopy, mitochondrial development has been followed in long slender bloodstream and procyclic organisms stained with rhodamine 123. to photograph stained long slender bloodstream forms, it was necessary to develop a method to completely immobilize viable organisms. In both parasite forms, as the cell cycle progressed, the mitochondrion developed from a thread-like structure to a highly branched organelle. A dramatic reorganization occurred preceding cytokinesis to produce two progeny thread-like structures which were partitioned into newly formed daughter cells. the organelle within the long slender trypomastigote was found to stain optimally at 0.3 μ/ml of rhodamine 123, while the procyclic form required 3.0 μ/ml. the results suggest that the plasma membrane potential is higher in the long slender parasite than in the procyclic form. the effects of inhibitors that disrupt mitochondrial function were examined in long slender and procyclic parasites, and some of these agents were shown to affect rhodamine 123 accumulation and retention. In long slender trypomastigotes the trypanosome alternative oxidase does not appear to be coupled to proton pumping, whereas in procyclic organisms the effects of inhibitors indicate that this oxidase may be coupled to a pathway that is branched preceding an antimycin A₁-sensitive site.     

Protective effects of adenosine in rabbit sinoatrial node ischemia–reperfusion model in vivo: control of arrhythmia by hyperpolarization-activated cyclic nucleotide-gated (HCN)4 channels

Disturbance of cardiac rhythm is one of the consequences of myocardial ischemia/reperfusion injury. Many researchers have prompted considerable interests in developing therapeutic approaches for its control. In present study, we want to determine whether that adenosine pre- and postconditioning have protective effects on sinoatrial node ischemia/reperfusion injury on morphology, arrhythmia score, serological markers (CK-MB and cTnT), SOD activities, MDA levels and expression of HCN4 channels in SA node cells. According to the arrhythmia score recorded, whether adenosine used in terms of ischemia or reperfusion, the total number of arrhythmia was significantly reduced, as well as the number of its episodes was also markedly decreased. We have also shown a clear correlation between HCN4 channels expression and the dysfunction of SA node cells. HCN4 immunoreactivity decreased after adenosine pre- and postconditioning, but changes were significantly smaller in the cells of the SA node compared with cells of I/R group. The content of cTnT, CK-MB and MDA in adenosine pre- and postconditioning group reduced significantly; but the level of SOD increased significantly. Histological examination and electron microscopy observations found in adenosine pre- and postconditioning group sinoatrial node injury also mitigated. These findings suggested that adenosine pre- or postconditioning were to reduce the incidence of ischemia/reperfusion arrhythmias, reduce myocardial ischemia reperfusion injury. The mechanism was to stabilize the SA node cells membrane and one possible mechanism involves modulation of HCN4 channels in pacemaker cells of the sinoatrial node.