A new approach to the determination of cardiac potential distributions: application to the analysis of electrode configurations

This paper presents a mathematical model and new solution technique for studying the electric potential in a slab of cardiac tissue. The model is based on the bidomain representation of cardiac tissue and also allows for the effects of fibre rotation between the epicardium and the endocardium. A detailed solution method, based on Fourier Series and a simple one-dimensional finite difference scheme, for the governing equations for electric potential in the tissue and the blood, is also presented. This method has the advantage that the potential can be calculated only at points where it is required, such as the measuring electrodes. The model is then used to study various electrode configurations which have been proposed to determine cardiac tissue conductivity parameters. Three electrode configurations are analysed in terms of electrode spacing, placement position and the effect of including fibre rotation: the usual surface four-electrode configuration; a single vertical analogue of this and a two probe configuration, which has the current electrodes on one probe and the measuring electrodes on the other, a fixed distance away. It is found that including fibre rotation has no effect on the potentials measured in the first two cases; however, in the two probe case, non-zero fibre rotation causes a significant drop in the voltage measured. This leads to the conclusion that it is necessary to include the effects of fibre rotation in any model which involves the use of multiple plunge electrodes.     

Regulation of cation channels in cardiac and smooth muscle cells by intracellular magnesium

Magnesium regulates various ion channels in many tissues, including those of the cardiovascular system. General mechanisms by which intracellular Mg(2+) (Mg(i)(2+)) regulates channels are presented. These involve either a direct interaction with the channel, or an indirect modification of channel function via other proteins, such as enzymes or G proteins, or via membrane surface charges and phospholipids. To provide an insight into the role of Mg(i)(2+) in the cardiovascular system, effects of Mg(i)(2+) on major channels in cardiac and smooth muscle cells and the underlying mechanisms are then reviewed. Although Mg(i)(2+) concentrations are known to be stable, conditions under which they may change exist, such as following stimulation of beta-adrenergic receptors and of insulin receptors, or during pathophysiological conditions such as ischemia, heart failure or hypertension. Modifications of cardiovascular electrical or mechanical function, possibly resulting in arrhythmias or hypertension, may result from such changes of Mg(i)(2+) and their effects on cation channels.     

Physiological and pathological modulation of ryanodine receptor function in cardiac muscle

Calcium release from the sarcoplasmic reticulum (SR) in cardiac muscle occurs through a specialised release channel, the ryanodine receptor, RyR, via the process of Ca-induced Ca release (CICR). The open probability of the RyR is increased by elevation of cytoplasmic Ca concentration ([Ca(2+)](i)). However, in addition to Ca, other modulators affect the RyR open probability. Agents which increase the RyR opening during systole produce a transient increase of systolic [Ca(2+)](i) followed by a return to the initial level due to a compensating decrease of SR Ca content. Increasing RyR opening during diastole decreases SR Ca content and thereby decreases systolic [Ca(2+)](i). We therefore conclude that potentiation of RyR opening will, if anything, decrease systolic [Ca(2+)](i). The effects of specific examples of modulators of the RyR, such as phosphorylation, metabolic changes, heart failure and polyunsaturated fatty acids, are discussed.     

Catecholamine-induced phosphorylation of cardiac muscle proteins

The catecholamine-induced phosphorylation of cardiac muscle protein was investigated using a rat ventricular muscle slice preparation. Slices 0.5 mm thick and weighing 40–50 mg were incubated for 40 min in oxygenated bathing medium containing ³²P to partially label intracellular ATP. Subsequent addition of 10^?5 M isoproterenol for 10 min resulted in a 44–63% (based on protein) or a 63–70% (based on inorganic phosphate) increase in ³²P incorporation into 100 000 × g particulate and 100 000 × g supernatant (soluble) fractions without an increase into homogenates, 1000 and 29 000 × g particulate fractions prepared from the slices. The catecholamines also produced a 93% increase in ³²P incorporation ans a 27% increase in inorganic phosphate in trichloroacetic acid-insoluble protein that was obtained from ventricular slice homogenates. A significant increase in the incorporation of ³²P occurred in the 100 000 × g particulate and supernatant fractions and the acid-insoluble protein within 2 and 1 min, respectively. While the β-adrenergic blocking agent propanolol had no effect by itself on ³²P incorporation, it prevented the isoproterenol-induced incorporation of ³²P into the 100 000 × g particulate and supernatant fractions and the acid-insoluble protein. Removal of isoproterenol from the bathing medium eliminated the differences in ³²P incorporation, indicating that the effects of the catecholamine were reversible. Norepinephrine and ipinephrine at 10^?5 M caused phosphorylation effects similar to that of isoproterenol. When the slices were bathed under anoxic conditions isoproterenol failed to enhance the incorporation of ³²P into proteins of the 100 000 ×g particulate and supernatant fractions or acid-insoluble protein. SDS gel eloectrophoresis of ventricular slice homogenates revealed that isoproterenol enhanced the ³²P incorporation into several myocardial proteins having molecular weights of 155, 94 (glycogen phosphorylase), 79, 68–77, and 54–59 · 10³ and decreased the incorporation into a 30 · 10³ dalton protein(s). These results are consistent with the notion that catecholamines may increase the phosphorylation of myocardial proteins in the intact myocardium which in turn may play a role in catecholamine-induced glycogenolysis and augmentation of contractility.     

Influence of hyperthyroidism on the superprecipitation response and Ca-sensitivity of natural actomyosin in cardiac and skeletal muscle

In cardiac natural actomyosin prepared from hyperthyroid rabbits, the time of onset of the superprecipitation response was shortened by 58% and the rate of response was increased 4-fold compared with euthyroid animals. However, Ca²⁺-sensitivity of cardiac natural actomyosin prepared from either euthyroid or hyperthyroid rabbits was not changed over the range of 10⁻⁷ to 6.6·10⁻⁵ mM free Ca²⁺ concentrations. Skeletal natural actomyosin prepared from either euthyroid or hyperthyroid rabbits showed a far higher Ca²⁺-sensitivity than cardiac natural actomyosin, but there was no difference in either time of onset or rate of superprecipitation response.     

Secophalloidin as a novel activator of skinned cardiac muscle

Secophalloidin (SPH) is known to activate skinned cardiac muscle in the absence of Ca(2+). We hypothesized that SPH-induced changes in cross-bridge properties underlie muscle activation. We found that force responsiveness to orthovanadate was drastically reduced in SPH activated muscles compared to Ca(2+)-activated contraction. Moreover, SPH caused approximately 30% increase in Ca(2+)-independent force in muscles where Ca(2+) sensitivity was totally destroyed by troponin I extraction with 10mM vanadate. Thus, SPH and Ca(2+) activation differ in both properties of the cross-bridge cycle and protein requirements for thin filament regulation. In addition, we tested the relationship between the activating effects SPH and EMD 57033, a Ca(2+) sensitizer that increases resting force in cardiac muscle. After maximal activation by either SPH or EMD 57033, the other compound was found to further increase force, indicating that SPH activates muscle via a novel mechanism.     

Cholesterol distribution and structural differentiation in the sarcoplasmic reticulum of rat cardiac muscle cells

Summary The polyene compound, filipin, was used as a probe to localize cholesterol in the membranes of the rat cardiac muscle cell, with particular reference to the sarcoplasmic reticulum (SR). Filipin binds specifically to cholesterol (and related 3--hydroxysterols) in membranes, producing distinct deformations which can be viewed by freeze-fracture and used as markers for the presence of cholesterol-rich regions in the membrane plane. In freeze-fracture replicas of filipin-treated rat myocardium, the muscle cells revealed abundant deformations in their plasma membranes, no deformations in mitochondrial membranes, and an intermediate response in the SR. These results are in agreement with the levels of cholesterol reported in isolated fractions of the different membrane types, and confirm the specificity of filipin action. Within the SR, the filipin-induced deformations were not randomly distributed but occurred more commonly in free SR at or near the Z-region of the sarcomere than in other parts of the free SR or the junctional SR. This finding is interpreted as evidence for a non-homogeneous distribution of cholesterol in cardiac muscle cell SR. The possible significance of cholesterol in relation to structural differentiation and function of the SR is discussed.     

Electron microscope study of the myofibril partial disintegration and recovery in the mitotically dividing cardiac muscle cells

Summary The ultrastructure of the myocyte at all phases of mitosis as well as of early postmitotic cells has been studied in the myocardia of 14- and 18-day rat embryos and 5- and 7-day old rats. The myofibrils remain unchanged up to the late prophase. In prometaphase the majority of Z-disks in embryo myocyte myofibrils and considerable part of these disks in myofibrils of suckling rats are drastically disintegrated.This is followed by a progressive isolation and scattering of the myofilament bundles and of the whole sarcomeres during the subsequent phases of mitosis. Thick myofilaments seem to be unchanged but thin ones become frequently poorly outlined (mainly in embryos). The sarcoplasmic reticulum, including its typically differentiated subsarcolemmal cisternae, exhibits relatively few changes during mitosis. In the early postmitotic period there is a gradual restoration of contrast-rich Z-bands, interconnecting the previously isolated sarcomeres. Patterns of this process have much in common with early stages of myofibrillogenesis (appearance of subsarcolemmal Z-bodies, formation of skeins of thin filaments etc.). The cleavage furrow formation is either absent or considerably retarded up to the postmitotic period.Behaviour of some other organelles during myocyte mitosis has been described. Possible mechanisms and significance of the observed phenomena are discussed.The author is greatly indebted to the late Professor L. N. Zhinkin for his interest in this work. The valuable technical collaboration of N. V. Seina as well as the assistance of V. M. Semenov in operating the electron microscope are gratefully acknowledged.     

Distinction between smooth muscle,fibroblasts and endothelial cells in culture by the use of fluoresceinated antibodies against smooth muscle actin

Summary FITC-labelled antibodies against native actin from chicken gizzard smooth muscle (Gröschel-Stewart et al., 1976) have been used to stain cultures of guinea-pig vas deferens and taenia coli, rabbit thoracic aorta, rat ventricle and chick skeletal muscle. The I-band of myofibrils of cardiac muscle cells and skeletal muscle myotubes stains intensely. In isolated smooth muscle cells, the staining is located exclusively on long, straight, non-interrupted fibrils which almost fill the cell. Smooth muscle cells which have undergone morphological dedifferentiation to resemble fibroblasts with both phase-contrast microscopy and electronmicroscopy still stain intensely with the actin antibody. In those muscle cultures which contain some fibroblasts or endothelial cells, the non-muscle cells are not stained with the actin antibody even when the reactions are carried out at 37° C for 1 h or after glycerination. Prefusion skeletal muscle myoblasts also do not stain with this antibody.It is concluded that the actin antibody described in this report is directed against a particular sequence of amino acids in muscle actin which is not homologous with non-muscle actin. The usefulness of this antibody in determining the origin of cells in certain pathological conditions such as atherosclerosis is discussed.This work was supported by the Life Insurance Medical Research Fund of Australia and New Zealand, the National Heart Foundation of Australia, the Deutsche Forschungsgemeinschaft and the Wellcome Trust (London). We thank Janet D. McConnell for excellent technical assistance     

Support for a trimeric collar of myosin binding protein C in cardiac and fast skeletal muscle, but not in slow skeletal muscle

Myosin-binding protein C (MyBPC) is proposed to take on a trimeric collar arrangement around the thick filament backbone in cardiac muscle, based on interactions between cardiac MyBPC domains C5 and C8. We have now determined, using yeast two-hybrid and in vitro binding assays, that the C5:C8 interaction is not dependent on the 28-residue cardiac-specific insert in C5. Furthermore, an interaction of similar affinity occurs between domains C5 and C8 of fast skeletal muscle MyBPC, but not between these domains of the slow skeletal muscle protein. These data have implications for the role and quaternary structure of MyBPC in skeletal muscle.     

Properties of calcium channels in cardiac muscle and vascular smooth muscle

The voltage-dependent slow channels in the myocardial cell membrane are the major pathway by which Ca²⁺ ions enter the cell during excitation for initiation and regulation of the force of contraction of cardiac muscle. The slow channels have some special properties, including functional dependence on metabolic energy, selective blockade by acidosis, and regulation by the intracellular cyclic nucleotide levels. Because of these special properties of the slow channels, Ca²⁺ influx into the myocardial cell can be controlled by extrinsic factors (such as autonomic nerve stimulation or circulating hormones) and by intrinsic factors (such as cellular pH or ATP level). The slow Ca²⁺ channels of the heart are regulated by cAMP in a stimulatory fashion. Elevation of cAMP produces a very rapid increase in number of slow channels available for voltage activation during excitation. The probability of a slow channel opening and the mean open time of the channel are increased. Therefore, any agent that increases the cAMP level of the myocardial cell will tend to potentiate I_si, Ca²⁺ influx, and contraction. The myocardial slow Ca²⁺ channels are also regulated by cGMP, in a manner that is opposite to that of CAMP. The effect of cGMP is presumably mediated by means of phosphorylation of a protein, as for example, a regulatory protein (inhibitory-type) associated with the slow channel. Preliminary data suggest that calmodulin also may play a role in regulation of the myocardial slow Ca²⁺ channels, possibly mediated by the Ca²⁺-calmodulin-protein kinase and phosphorylation of some regulatory-type of protein. Thus, it appears that the slow Ca²⁺ channel is a complex structure, including perhaps several associated regulatory proteins, which can be regulated by a number of extrinsic and intrinsic factors.VSM cells contain two types of Ca²⁺ channels: slow (L-type) Ca²⁺ channels and fast (T-type) Ca²⁺ channels. Although regulation of voltage-dependent Ca²⁺ slow channels of VSM cells have not been fully clarified yet, we have made some progress towards answering this question. Slow (L-type, high-threshold) Ca²⁺ channels may be modified by phosphorylation of the channel protein or an associated regulatory protein. In contrast to cardiac muscle where cAMP and cGMP have antagonistic effects on Ca²⁺ slow channel activity, in VSM, cAMP and cGMP have similar effects, namely inhibition of the Ca²⁺ slow channels. Thus, any agent that elevates cAMP or cGMP will inhibit Ca²⁺ influx, and thereby act to produce vasodilation. The Ca²⁺ slow channels require ATP for activity, with a K_0.5 of about 0.3 mM. C-kinase may stimulate the Ca²⁺ slow channels by phosphorylation. G-protein may have a direct action on the Ca²⁺ channels, and may mediate the effects of activation of some receptors. These mechanisms of Ca²⁺ channel regulation may be invoked during exposure to agonists or drugs, which change second messenger levels, thereby controlling vascular tone.     

Isolation and characterization of cardiac sarcolemma

A procedure was developed for the isolation of cardiac sarcolemmal vesicles. These vesicles are enriched about ten-fold (with respect to the tissue homogenate) in K⁺-stimulated p-nitrophenylphosphatase, (Na⁺ + K⁺)-ATPase, 5'-nucleotidase activities and sialic acid content, all of which are believed to be components of the sarcolemma. The sarcolemma of tissue culture cardiac cells were radioiodinated and the distribution of this radioiodine paralleled the distribution of the other membrane markers above. There was very little contamination of the sarcolemmal fraction by sarcoplasmic reticulum (as judged by Ca²⁺-ATPase and glucose-6-phosphatase activities) or inner mitochondrial membranes (as judged by succinate dehydrogenase activity). There may, however, be some contamination by outer mitochondrial membranes (as judged by monoamine oxidase and rotenone-insensitive NADH cytochrome c reductase activities) which have rarely been monitored in cardiac sarcolemmal preparations. The purity of this preparation is good when compared with other cardiac sarcolemmal preparations. This preparation should be very useful in studying the roles of the cardiac sarcolemma (e.g. in excitation contraction coupling and Ca²⁺ binding).     

Quantitative techniques for steady-state calculation and dynamic integrated modelling of membrane potential and intracellular ion concentrations

The membrane potential (E_m) is a fundamental cellular parameter that is primarily determined by the transmembrane permeabilities and concentration gradients of various ions. However, ion gradients are themselves profoundly influenced by E_m due to its influence upon transmembrane ion fluxes and cell volume (V_c). These interrelationships between E_m, V_c and intracellular ion concentrations make computational modelling useful or necessary in order to guide experimentation and to achieve an integrated understanding of experimental data, particularly in complex, dynamic, multi-compartment systems such as skeletal and cardiac myocytes. A variety of quantitative techniques exist that may assist such understanding, from classical approaches such as the Goldman–Hodgkin–Katz equation and the Gibbs–Donnan equilibrium, to more recent “current-summing” models as exemplified by cardiac myocyte models including those of DiFrancesco & Noble, Luo & Rudy and Puglisi & Bers, or the “charge-difference” modelling technique of Fraser & Huang so far applied to skeletal muscle. In general, the classical approaches provide useful and important insights into the relationships between E_m, V_c and intracellular ion concentrations at steady state, providing their core assumptions are fully understood, while the more recent techniques permit the modelling of changing values of E_m, V_c and intracellular ion concentrations. The present work therefore reviews the various approaches that may be used to calculate E_m, V_c and intracellular ion concentrations with the aim of establishing the requirements for an integrated model that can both simulate dynamic systems and recapitulate the key findings of classical techniques regarding the cellular steady state. At a time when the number of cellular models is increasing at an unprecedented rate, it is hoped that this article will provide a useful and critical analysis of the mathematical techniques fundamental to each of them.     

Ruthenium-red staining of skeletal and cardiac muscles

Summary The effects of ruthenium red (RR) on amphibian and mammalian skeletal muscles and mammalian myocardium were examined. In skeletal muscle cells, a discrete pattern of staining can be brought about within the lumina of the terminal cisternae (junctional sarcoplasmic reticulum [SR]) by sequential exposure to RR and OsO₄. After prolonged immersion in RR solution, formation of pentalaminar segments (zippering) occurs at various points along the longitudinal (network) SR tubules. Zippering can be elicited in skeletal SR at any stage of preparation prior to postfixation with OsO₄. By means of dispersive X-ray analysis, both ruthenium and osmium were seen to be deposited in skeletal muscle junctional SR, and ruthenium was detected in the myoplasm as well. In skeletal muscles whose T tubules were ruptured by exposure to glycerol, the pattern of SR staining and zippering resulting from ruthenium-osmium treatment was not affected. These findings indicate that RR is capable of passage across the sarcolemma of skeletal muscle and that this passage does not occur solely under conditions in which the plasma membrane is damaged. In contrast, RR does not opacify or modify any region of the SR of cardiac muscle. However, after this treatment, randomly distributed opaque bodies, composed of parallel lamellar structures, appear throughout the myocardial cells. A few of these bodies are associated with lipid droplets, but the rest are of unknown origin. The failure of the SR of cardiac muscle to stain after exposure to ruthenium dye (even though this material enters these cells) suggests that the chemical composition of cardiac SR is significantly different from that of skeletal muscle SR.Supported in part by PHS grant HL-11155 (to N.S.) and American Heart Grant-in-Aid 78-753 (to M.S.F.). The authors are grateful to Drs. David Harder and Lawrence Sellin for their assistance with the preparation of frog skeletal muscle, to Dr. S.K. Jirge for his helpful suggestions and discussions, and particularly to Dr. Kenneth R. Lawless and Ms. Ann Marshall of the Department of Materials Sciences, University of Virginia School of Engineering, and Col. John M. Brady of the United States Army Institute of Dental Research, Walter Reed Army Medical Center, for their help with, and for the use of, the X-ray analysis equipment     

Lack of effect of receptor blockers on the formation of long-lasting associations between sympathetic nerves and cardiac muscle cells in vitro

Summary Sympathetic nerves in vitro form long-lasting, intimate, functional relationships with cardiac muscle cells, but not with fibroblasts. In the presence of an adrenergic -blocker and a cholinergic muscarinic blocker, long-lasting relationships still take place. It was concluded that neurotransmitter receptors are not involved in the mechanism of recognition of cardiac muscle cells by sympathetic nerves.     

Immunohistochemical analysis of C-protein isoforms in cardiac and skeletal muscle of the axolotl,Ambystoma mexicanum

Of the several proteins located within sarcomeric A-bands, C-protein, a myosin binding protein (MyBP) is thought to regulate and stabilize thick filaments during assembly. This paper reports the characterization of C-protein isoforms in juvenile and adult axolotls, Ambystoma mexicanum, by means of immunofluorescent microscopy and Western blot analyses. C-protein and myosin are found specifically within the A-bands, whereas tropomyosin and -actin are detected in the I-bands of axolotl myofibrils. The MF1 antibody prepared against the fast skeletal muscle isoform of chicken C-protein specifically recognizes a cardiac isoform (Axcard1) in juvenile and adult axolotls but does not label axolotl skeletal muscle. The ALD66 antibody, which reacts with the C-protein slow isoform in chicken, localizes only in skeletal muscle of the axolotl. This slow axolotl isoform (Ax_slow) displays a heterogeneous distribution in fibers of dorsalis trunci skeletal muscle. The C₃₁₅ antibody against the chicken C-protein cardiac isoform identifies a second axolotl cardiac isoform (Ax_card2), which is present also in axolotl skeletal muscle. No C-protein was detected in smooth muscle of the juvenile and adult axolotl with these antibodies.This work was supported by NIH grants HL-32184 and HL-37702 and a grant-in-aid from the American Heart Association to L.F.L.     

Activation of the sheep cardiac Ca2+ release channel by simple heteroaromatics

The broad range of ligands known to modulate ryanodine receptor activity includes a class of heteroaromatic compounds displaying relatively poor efficacy. Greater understanding of the physicochemical properties that predispose these molecules to interaction with the channel should facilitate the rational design of more potent analogues. To this end we are examining the structure-activity relationship for simple heteroaromatic compounds. Efficacy is assessed by the ability to stimulate [3H]ryanodine binding to heavy sarcoplasmic reticulum vesicles. The propensity to activate the channel requires notably little chemical functionality and is associated with the capacity for charge-transfer complex formation in conjunction with steric bulk.     

Marsupial cardiac myosins are similar to those of eutherians in subunit composition and in the correlation of their expression with body size

Cardiac myosins and their subunit compositions were studied in ten species of marsupial mammals. Using native gel electrophoresis, ventricular myosin in macropodoids showed three isoforms, V ₁, V ₂ and V ₃, and western blots using specific anti-α- and anti-β-cardiac myosin heavy chain (MyHC) antibodies showed their MyHC compositions to be αα, αβ and ββ, respectively. Atrial myosin showed αα MyHC composition but differed from V ₁ in light chain composition. Small marsupials (Sminthopsis crassicaudata, Antechinus stuartii, Antechinus flavipes) showed virtually pure V ₁, while the larger (1–3 kg) Pseudocheirus peregrinus and Trichosurus vulpecula showed virtually pure V ₃. The five macropodoids (Bettongia penicillata, Macropus eugenii, Wallabia bicolour, M. rufus and M. giganteus), ranging in body mass from 2 to 66 kg, expressed considerably more α-MyHC (22.8%) than expected for their body size. These results show that cardiac myosins in marsupial mammals are substantially the same as their eutherian counterparts in subunit composition and in the correlation of their expression with body size, the latter feature underlies the scaling of resting heart rate and cardiac cross-bridge kinetics with specific metabolic rate. The data from macropodoids further suggest that expression of cardiac myosins in mammals may also be influenced by their metabolic scope.