Jiří Šimurda

The functional role of cardiac T-tubules explored in a model of rat ventricular myocytes.

The morphology of the cardiac transverse-axial tubular system (TATS) has been known for decades, but its function has received little attention. To explore the possible role of this system in the physiological modulation of electrical and contractile activity, we have developed a mathematical model of rat ventricular cardiomyocytes in which the TATS is described as a single compartment. The geometrical characteristics of the TATS, the biophysical characteristics of ion transporters and their distribution between surface and tubular membranes were based on available experimental data. Biophysically realistic values of mean access resistance to the tubular lumen and time constants for ion exchange with the bulk extracellular solution were included. The fraction of membrane in the TATS was set to 56%. The action potentials initiated in current-clamp mode are accompanied by transient K+ accumulation and transient Ca2+ depletion in the TATS lumen. The amplitude of these changes relative to external ion concentrations was studied at steady-state stimulation frequencies of 1–5 Hz. Ca2+ depletion increased from 7 to 13.1% with stimulation frequency, while K+ accumulation decreased from 4.1 to 2.7%. These ionic changes (particularly Ca2+ depletion) implicated significant decrease of intracellular Ca2+ load at frequencies natural for rat heart.

Slow inward current and action potentials of papillary muscles under non-steady state conditions.

Summary1.The relationship of the contractile response of cat papillary muscles and of the slow inward current, recorded under voltage clamp conditions (single sucrose gap), has been studied. The preparations were driven at a rate of 30 per min at 31° C. Both variables were recorded during a train of 7 identical clamp depolarizations (for 1 s from resting potential to −15 to +40 mV). The contractility increased severalfold and reached the steady state within 5–6 consecutive depolarizations.2.The voltage-dependence of slow inward current was confirmed: maximum was found at depolarizations near 0 mV. On repetition of clamp pulses the slow current gradually diminished in amplitude and was more slowly activated and inactivated. The shift of the current-voltage curve indicated a decrease of the reversal potential.3.Under non-steady state conditions the amplitude of the slow current was found to correlate closely with the magnitude of the contractile response at any given level of depolarization. The relation was linear with negative slope. The largest contractile response was not found at voltages which elicited maximum slow current.4.The progressive decrease of the slow current during repetition of voltage clamp depolarizations is not significantly affected by inadequate time for recovery of slowly changing conductances, since it occurs also at stimulation frequency 15 per min and the slow current remains virtually unaltered after 20 s period of quiescence.5.The course of total ionic current during phase 1 and 2 of action potential was reconstructed from a family of current curves obtained as a response to clamp depolarizations to various voltages, respecting the contractility-dependence of the current. The resulting course was correlated with the first derivative of action potential. A general conformity was ascertained.6.The correlation of slow inward current with action potential configuration indicates that the rate of its activation determines the depth of the notch separating spike and plateau, its magnitude determines the voltage of the plateau phase and its rate of inactivation affects repolarization.7.It is concluded that the described simultaneous changes of mechanical and electrical phenomena might be due to increased [Ca]i, which is responsible for more intense activation of the contractile proteins on the one hand, and decreased driving force of the slow inward current, carried by Ca ions, on the other.

Effect of ethanol on action potential and ionic membrane currents in rat ventricular myocytes

Aim:  Even though alcohol intoxication is often linked to arrhythmias, data describing ethanol effect on cardiac ionic channels are rare. In addition, ethanol is used as a solvent of hydrophobic compounds in experimental studies. We investigated changes of the action potential (AP) configuration and main ionic membrane currents in rat cardiomyocytes under 20–1500 mm ethanol.

Use-dependent effects of 4-aminopyridine on transient outward current in dog ventricular muscle

The use-dependent features of 4-aminopyridine-induced block of the transient outward current were investigated under voltage clamp conditions in dog ventricular myocardial bundles. The block depended strongly on the pattern of voltage clamp pulses. Its level (settled in rested membranes) became deeper at early time during depolarization. In contrast, prolonged depolarization (above 50 to 100 ms) produced relief of block. Our results suggest that the block strongly depends on the state of the channel gating system.

Effect of Ca2

We have used a previously published computer model of the rat cardiac ventricular myocyte to investigate the effect of changing the distribution of Ca2+ efflux pathways (SERCA, Na+/Ca2+ exchange, and sarcolemmal Ca2+ ATPase) between the dyad and bulk cytoplasm and the effect of adding exogenous Ca2+ buffers (BAPTA or EGTA), which are used experimentally to differentially buffer Ca2+ in the dyad and bulk cytoplasm, on cellular Ca2+ cycling. Increasing the dyadic fraction of a particular Ca2+ efflux pathway increases the amount of Ca2+ removed by that pathway, with corresponding changes in Ca2+ efflux from the bulk cytoplasm. The magnitude of these effects varies with the proportion of the total Ca2+ removed from the cytoplasm by that pathway. Differences in the response to EGTA and BAPTA, including changes in Ca2+-dependent inactivation of the L-type Ca2+ current, resulted from the buffers acting as slow and fast “shuttles,” respectively, removing Ca2+ from the dyadic space. The data suggest that complex changes in dyadic Ca2+ and cellular Ca2+ cycling occur as a result of changes in the location of Ca2+ removal pathways or the presence of exogenous Ca2+ buffers, although changing the distribution of Ca2+ efflux pathways has relatively small effects on the systolic Ca2+ transient.

Role of t-tubules in the control of trans-sarcolemmal ion flux and intracellular Ca2+ in a model of the rat cardiac ventricular myocyte

The t-tubules of mammalian ventricular myocytes are invaginations of the surface membrane that form a complex network within the cell, with restricted diffusion to the bulk extracellular space. The trans-sarcolemmal flux of many ions, including Ca2+, occurs predominantly across the t-tubule membrane and thus into and out of this restricted diffusion space. It seems possible, therefore, that ion concentration changes may occur in the t-tubule lumen, which would alter ion flux across the t-tubule membrane. We have used a computer model of the ventricular myocyte, incorporating a t-tubule compartment and experimentally determined values for diffusion between the t-tubule lumen and bulk extracellular space, and ion fluxes across the t-tubule membrane, to investigate this possibility. The results show that influx and efflux of different ion species across the t-tubule membrane are similar, but not equal. Changes of ion concentration can therefore occur close to the t-tubular membrane, thereby altering trans-sarcolemmal ion flux and thus cell function, although such changes are reduced by diffusion to the bulk extracellular space. Slowing diffusion results in larger changes in luminal ion concentrations. These results provide a deeper understanding of the role of the t-tubules in normal cell function, and are a basis for understanding the changes that occur in heart failure as a result of changes in t-tubule structure and ion fluxes.

4-Aminopyridine sensitive transient outward current in dog ventricular fibres

Abstract(1) The depression of slow inward calcium current (ICa) induced by organic or inorganic inhibitors in voltage clamped dog ventricular preparations unmasks an early transient outward current (Ito). (2)Ito is depressed by 4-aminopyridine (1 mM) in a voltage dependent manner. (3)Ito appears in reponse to voltage steps above 40 mV (from holding voltage=resting voltage) and increases with raising the amplitude of clamp steps. (4) Within physiological range of membrane voltageIto is smaller and decays several times faster thanICa. Time course of the decline is approximately exponential (τ=25±6 ms at 80 mV above resting voltage). (5) Shifts of the holding voltage by 20 mV from the level of resting voltage alters the peak amplitude ofIto. It is increased by hyperpolarization and reduced by depolarization. (6) The recovery ofIto from inactivation at resting voltage was approximated by a single exponential. Time constant (390 ms) is about 15 times longer than the time constant of inactivation at 80 mV positive to the resting voltage.

Activity-dependent changes of slow inward current in ventricular heart muscle

Abstract1.The relationships between membrane voltage, contractile force and slow inward current were studied in cat and dog papillary muscles or trabeculae employing the double sucrose gap voltage clamp technique. The experiments were performed at 30°C and the preparations were stimulated at a frequency of 0.5 Hz.2.The known relationships between steady state contractile force, slow inward current and membrane voltage were confirmed.3.Under non-steady state conditions the slow inward current decreases during ascending and increases during descending contraction staircases when the clamp steps of the test train exceed about 60 mV from resting level. Depolarization clamp steps below 60 mV produce parallel changes of the slow inward current and contractile force. Those clamp conditions which increase the contractile force shift the threshold of Isi and of contraction towards more negative values.4.During ascending staircases an increasing background outward current was regularly observed together with diminshing slow inward current.5.The reported current transients agree with the changes of action potential configuration during mechanical transients: the prolongation of plateau during descending staircases corresponds to an increase, and the shortening of action potential during late repolarization corresponds to a decrease of slow inward current in the respective voltage ranges.6.The slow inward current was tentatively separated into two components. The main component is inversely proportional to contractile force and it exhibits the well known current-voltage relationship for this current. The other one is directly proportional to contractile force and may be related to a regenerative response of reticular membranes.

Quantitative modelling of interaction of propafenone with sodium channels in cardiac cells.

A mathematical model of the interaction of propafenone with cardiac sodium channels is based on experimental data that demonstrate use-dependent effects of the drug. The Clancy-Rudy model is applied to describe Na-channels in absence of the drug. The values of rate constants of the drug-receptor reaction are fitted to experimental data by iterative computer simulations using a genetic algorithm. The model suggests the following interpretation of available experimental results: First, drug molecules have access to the binding sites predominantly in the inactivated states. Secondly, the biphasic development of the block during depolarisation is consistent with a rapid increase due to drug binding in the fast inactivated state (rate constants kon=645μmol−1 ls−1, koff=16.21 s−1) and a slow increase due to binding in the intermediate inactivated state (rate constants ∼100-fold lower), followed by transition to the drug-occupied slow inactivated state (rate constants 0.784 and 0.921 s−1). Thirdly, the observed biphasic time course of recovery of INa from block following restoration of the resting voltage results from simultaneous relief of block from the channels residing in the intermediate and slow inactivated states. Fourthly, the accumulation of blocked channels in the slow inactivated state is responsible for the observed use-dependent effects. Fifthly, when incorporated into a quantitative description of the electrical activity of a ventricular cell, the model predicts that propafenone (0.2μmol l−1) effectively suppresses premature excitations, leaving the regular action potentials nearly unaffected.

Effect of Ca2+ efflux pathway distribution and exogenous Ca2+ buffers on intracellular Ca2+ dynamics in the rat ventricular myocyte: a simulation study.

We have used a previously published computer model of the rat cardiac ventricular myocyte to investigate the effect of changing the distribution of Ca2+ efflux pathways (SERCA, Na+/Ca2+ exchange, and sarcolemmal Ca2+ ATPase) between the dyad and bulk cytoplasm and the effect of adding exogenous Ca2+ buffers (BAPTA or EGTA), which are used experimentally to differentially buffer Ca2+ in the dyad and bulk cytoplasm, on cellular Ca2+ cycling. Increasing the dyadic fraction of a particular Ca2+ efflux pathway increases the amount of Ca2+ removed by that pathway, with corresponding changes in Ca2+ efflux from the bulk cytoplasm. The magnitude of these effects varies with the proportion of the total Ca2+ removed from the cytoplasm by that pathway. Differences in the response to EGTA and BAPTA, including changes in Ca2+-dependent inactivation of the L-type Ca2+ current, resulted from the buffers acting as slow and fast “shuttles,” respectively, removing Ca2+ from the dyadic space. The data suggest that complex changes in dyadic Ca2+ and cellular Ca2+ cycling occur as a result of changes in the location of Ca2+ removal pathways or the presence of exogenous Ca2+ buffers, although changing the distribution of Ca2+ efflux pathways has relatively small effects on the systolic Ca2+ transient.