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Circulation Research. 2000;87:453-459

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(Circulation Research. 2000;87:453.)
© 2000 American Heart Association, Inc.


Integrative Physiology

Nonlinear Changes of Transmembrane Potential During Defibrillation Shocks

Role of Ca2+ Current

Eric R. Cheek, Raymond E. Ideker, Vladimir G. Fast

From the Departments of Biomedical Engineering (E.R.C., R.E.I., V.G.F.), Medicine (R.E.I.), and Physiology (R.E.I.), University of Alabama at Birmingham, Birmingham, Ala.

Correspondence to Vladimir G. Fast, PhD, University of Alabama at Birmingham, 1670 University Blvd, VH B149, Birmingham, AL 35294. E-mail fast{at}crml.uab.edu


*    Abstract
up arrowTop
*Abstract
down arrowIntroduction
down arrowMaterials and Methods
down arrowResults
down arrowDiscussion
down arrowAppendix 1
down arrowReferences
 
Abstract—Defibrillation shocks induce complex nonlinear changes of transmembrane potential ({Delta}Vm). To elucidate the ionic mechanisms of nonlinear {Delta}Vm, we studied the effects of ionic channel blockers on {Delta}Vm in geometrically defined myocyte cultures. Experiments were carried out in cell strands with widths of 0.2 mm (narrow strands) and 0.8 mm (wide strands) produced using a technique of directed cell growth. Uniform-field shocks were applied across strands during the action potential (AP) plateau, and the distribution of shock-induced {Delta}Vm was measured using an optical mapping technique. Nifedipine and 4-aminopyridine were applied to inhibit the L-type calcium current (ICa) and the transient outward current (Ito), respectively. In control conditions, the distribution of {Delta}Vm across cell strands was highly asymmetrical with a large ratio of negative to positive {Delta}Vm ({Delta}V-m/{Delta}V+m) measured at the opposite strand borders. Application of nifedipine caused a large increase of {Delta}V+m and a decrease of {Delta}V-m/{Delta}V+m, indicating involvement of ICa in the asymmetrical {Delta}Vm, likely as a result of the outward flow of ICa when Vm exceeded the ICa reversal potential. {Delta}V-m decreased in the narrow strands but remained unchanged in the wide strands, indicating that the changes of {Delta}V-m were caused by electrotonic interaction with an area of depolarization. 4-Aminopyridine did not change {Delta}V-m/{Delta}V+m. These results provide evidence that (1) the asymmetry of shock-induced {Delta}Vm during the AP plateau is due to outward flow of ICa in the depolarized portions of the strands, (2) Ito is not involved in the mechanism of {Delta}Vm asymmetry, and (3) the effects of drugs on {Delta}Vm are modulated by the tissue geometry.


Key Words: electrophysiology • defibrillation • mapping • voltage-sensitive dyes


*    Introduction
up arrowTop
up arrowAbstract
*Introduction
down arrowMaterials and Methods
down arrowResults
down arrowDiscussion
down arrowAppendix 1
down arrowReferences
 
Electric shocks are routinely used to terminate fibrillation in patients, yet the mechanisms of defibrillation are not well understood. Particularly, it is not yet known how the shock field changes the transmembrane potential of cardiac cells (Vm). Because shocks are applied in the extracellular space, both positive and negative changes of Vm are produced by the shocks. It is believed that Vm changes during shocks can be due to several factors, including nonuniformity of the electric field1 2 3 4 and nonuniformity of the tissue structure.5 6 Combination of these 2 factors can fully predict the magnitude and the distribution pattern of Vm changes in the linear model systems.7 Particularly, {Delta}Vm in a linear system is directly proportional to the strength of the shock field. In real cardiac tissue, however, Vm changes are strongly nonlinear, suggesting the involvement of some additional factors.

Three types of nonlinear {Delta}Vm were reported. First, unlike in linear systems, strong shocks applied during the plateau phase of the action potential (AP) in isolated guinea pig papillary muscles,8 9 in cultured strands of neonatal rat myocytes,10 11 and in isolated guinea pig myocytes12 induced asymmetrical changes with negative {Delta}Vm ({Delta}V-m) larger than positive {Delta}Vm ({Delta}V+m). Second, with increasing shock strength the amplitude of {Delta}Vm in cardiac tissue did not increase proportionally but reached a saturation level.8 9 11 Third, large negative {Delta}Vm in cultured cell monolayers11 and in isolated myocytes12 exhibited a nonmonotonic behavior whereby a strong initial hyperpolarization was followed by a positive shift of Vm.

The mechanisms of these nonlinear Vm changes are not known. The {Delta}Vm asymmetry with {Delta}V-m>{Delta}V+m reflects an increase of the net outward current. We hypothesized that such {Delta}Vms are related to modulation of activity of ionic channels. During the early plateau phase of AP, the main currents in neonatal rat myocytes are the calcium current (ICa) and the transient outward current (Ito). To understand the role of these currents in the {Delta}Vm asymmetry, we investigated the effect of respective channel blockers on {Delta}Vm. Because Vm changes are dependent on the geometry of cardiac tissue and electric field, experiments were performed with uniform-field shocks in geometrically defined strands of cultured myocytes. Also, because electrotonic interaction between the areas depolarized and hyperpolarized by shocks can affect the Vm changes,11 conditions with both strong and weak electrotonic interaction were studied using narrow (width<{lambda}, the electrotonic space constant) and wide (width>{lambda}) strands, respectively.


*    Materials and Methods
up arrowTop
up arrowAbstract
up arrowIntroduction
*Materials and Methods
down arrowResults
down arrowDiscussion
down arrowAppendix 1
down arrowReferences
 
Cell Cultures
Ventricular myocytes from 2-day-old Wistar rats were grown in cell strands (Figure 1ADown) using the technique of directed cell growth.11 13 The widths of the strands (Figure 1BDown) were 0.2 and 0.8 mm, below or above the space constant (0.35 mm).14 Strands were first incubated in medium M199 (Life Technologies) containing Earl’s salts, 20 mmol/L HEPES, 10% FBS (Sigma), 20 µg/mL vitamin B12, and antibiotics at 37°C in a humidified atmosphere of 5% CO2. Starting on the second day, a serum-free medium, UltraCulture (BioWhittaker), was used. To stimulate cell beating, the medium was supplemented with 2 µmol/L norepinephrine.



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Figure 1. A, Schematic diagram of the perfusion chamber, cell monolayer structure, and stimulation and shock electrodes. The area of cell growth is shown in black and the area with no cell attachment in white. A spatially uniform electric field (E) was produced in the bath using 2 platinum plate electrodes (anode [+] and cathode [-]). B, Phase-contrast image of wide (0.8-mm) and narrow (0.2-mm) cell strands. C, Determination of shock-induced {Delta}Vm. A stimulus was applied to induce an AP. APA was measured as the difference between the fluorescence levels immediately before and after the upstroke. Vm was measured twice, without a shock (thin gray line) and with a 10-ms shock applied 20 ms after the stimulus (thick black line). The shock-induced change in Vm ({Delta}Vm) was measured as the difference in fluorescence intensity between a linear fit of the plateau phase depicted by a thin line and the signal magnitude 5 ms after the shock onset and expressed as a percentage of APA. This linear fit corresponded to the time course of Vm without a shock.

Optical Measurements of {Delta}Vm
After 4 to 6 days in culture, monolayers were transferred into a perfusion bath and superfused with Hanks solution (Life Technologies) with pH 7.4 and temperature 35°C to 36°C. Cells were stained for 3 to 6 minutes with 2.5 µmol/L of the Vm-sensitive dye RH-237 (Molecular Probes). Optical measurements were performed at areas without visible anatomic discontinuities in monolayer structure. The dye fluorescence was measured using a 16x16-photodiode array (Hamamatsu) and a microscopic mapping system described previously.11 The bandwidth of the system was 1 kHz. With 10x, 20x, and 40x objectives used, the spatial resolution (center-to-center interdiode distance) was 110, 55, and 27.5 µm, respectively, and the sampling rate was 10 kHz per channel.

The cells were paced at a cycle length of 500 ms. Rectangular uniform-field shocks (duration 10 ms) were applied via 2 large platinum electrodes positioned at the bath ends (Figure 1AUp). The field strength, E, was measured in the bath using a bipolar silver electrode (wire diameter 0.1 mm, interelectrode distance 1.1 mm). Delivery of shocks was synchronized with stimulation pulses. The delay between AP upstroke and onset of the shocks was 9 to 18 ms. Two channel blockers were applied: ICa inhibitor nifedipine (2 µmol/L) and Ito inhibitor 4-aminopyridine (4-AP; 2 mmol/L). Because nifedipine is photosensitive, a fresh solution was prepared in the dark for each day of use.

Shock-induced {Delta}Vm was measured as the difference between a linear fit of the plateau phase and the magnitude of the shock response 5 ms after shock onset (Figure 1CUp). The fit was determined using linear regression of the signal during the 5-ms interval before shock application. Comparison with a recording without shock shows that the fitting procedure allowed the reduction of errors in {Delta}Vm associated with changes in fluorescence intensity due to factors other than the shock. The {Delta}Vm was normalized by the AP amplitude (APA). The degree of {Delta}Vm asymmetry was characterized by the ratio of {Delta}V-m and {Delta}V+m measured at the opposite strand edges. {Delta}Vms at the edges were spatially averaged including only those signals that had a constant slope before shock application. Data were expressed as mean±SD. Differences were compared using the 2-tailed paired t test. All statistical probability values are expressed for differences from control conditions. Results were considered statistically significant if P<0.05.

To ensure uniformity of cell properties, only those strands were selected for analysis that exhibited no major discontinuities in activation spread and spatial distribution of {Delta}Vm and had conduction velocity >20 cm/s and normalized maximal upstroke rate of rise >80 V/s. Experiments were performed in a total of 37 strands from 26 cell monolayers produced in 7 cell cultures.


*    Results
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowMaterials and Methods
*Results
down arrowDiscussion
down arrowAppendix 1
down arrowReferences
 
Effect of Nifedipine on {Delta}Vm
Narrow Strands
Figure 2Down presents results of a typical experiment in a strand 0.22 mm in width. Figure 2ADown compares the Vm traces obtained in control conditions, after 5 minutes of perfusion with 2 µmol/L of nifedipine, and 15 minutes after washout from a horizontal row of photodiodes shown in Figure 2BDown. The strength of the shock field was 16.4, 16.2, and 16.1 V/cm, respectively. The shocks were applied during the early plateau phase of the AP, {approx}12 ms after the AP upstroke. In control conditions, the shock induced depolarization on the left side of the strand and hyperpolarization on the right side with a linear transition in between (Figure 2CDown). The spatial distribution of {Delta}Vm across the strand was rather uniform (Figure 2BDown) and strongly asymmetrical with a much larger portion of the strand being hyperpolarized than depolarized; the asymmetry ratio was 1.96. Such asymmetrical Vm changes were described previously as nonlinear {Delta}Vms of type II.11



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Figure 2. Effect of nifedipine on shock-induced {Delta}Vm in narrow strands. A, Optical recordings of Vm from selected diodes and shock waveform (E) taken in control, 5 minutes after start of perfusion with 2 µmol/L nifedipine, and 15 minutes after washout in a 0.22-mm strand. Corresponding shock strengths were 16.4, 16.2, and 16.1 V/cm. Numbers correspond to photodiodes indicated in panel B. B, Isopotential maps of {Delta}Vm distribution at t=5 ms after shock onset (this time is indicated in panel A by dashed line). Thick lines depict the 0 isoline that separates areas of depolarization and hyperpolarization. C, Spatial profiles of {Delta}Vm across the strand at t=5 ms after shock onset. D, Effect of nifedipine on optical {Delta}V+m, {Delta}V-m, asymmetry ratio {Delta}V-m/{Delta}V+m and {Delta}V-m+{Delta}V+m in 8 strands. Shock strength was 15.3±1 V/cm. *Statistically significant difference from control value (P<0.05).

Application of nifedipine increased the amplitudes of {Delta}V+m and decreased the amplitudes of {Delta}V-m at all sites (Figure 2AUp, thick traces), preserving the uniformity (Figure 2BUp) and linearity (Figure 2CUp) of the {Delta}Vm distribution. The overall effect of nifedipine on {Delta}Vm was a positive shift of {Delta}Vm without changing the slope of the spatial {Delta}Vm gradient (Figure 2CUp). As a result, the 0 isoline in the map of {Delta}Vm distribution (Figure 2BUp) shifted toward the center of the strand, reflecting the reduction in the asymmetry of {Delta}Vm distribution. The maximal {Delta}V+m increased from 94 to 119%APA, and maximal {Delta}V-m decreased from -184 to –156%APA; the {Delta}Vm asymmetry ratio decreased from 1.96 to 1.31. At the same time, the sum of {Delta}V+m and {Delta}V-m remained nearly constant. After washout from nifedipine for 15 minutes, Vm changes were similar to control (thin gray traces).

Similar results were obtained in 8 strands measuring 0.2 mm in width. The data from these experiments are summarized in Figure 2DUp. The mean shock strength was 15.3±1 V/cm. The maximal {Delta}V+m was 66±8%APA in control, and it increased during nifedipine application to 88±16%APA (P<0.001), which represents a change of 34%. On washout, the {Delta}V+m returned to the control value (67±9%APA). Nifedipine caused a reversible decrease of the mean maximal {Delta}V-m from 139±14% to 126±20%APA (P<0.05). As a result, the {Delta}Vm asymmetry ratio decreased from 2.14±0.4 to 1.5±0.4 (P<0.001) and returned to the control value (2.07±0.3, NS) after washout.

On average, nifedipine induced a small ({approx}5%) and reversible increase of the sum of {Delta}V+m and {Delta}V-m from 204±13 to 214±16%APA (P<0.05). In narrow strands (width<<{lambda}), {Delta}V+m+{Delta}V-m should remain constant (see Appendix). Therefore, the small increase in the optically measured {Delta}V+m+{Delta}V-m can be attributed to a decrease of APA caused by nifedipine.15 Also, nifedipine slightly decreased the conduction velocity (37±5 versus 34±6 cm/s, P<0.05), whereas changes in the maximal upstroke rate of rise (100±15 versus 95±13 V/s) were not statistically significant.

To test whether the effect of nifedipine was different for small and symmetrical {Delta}Vms described previously,11 measurements were carried out at lower shock strengths. Figures 3ADown and 3BDown illustrate a typical measurement, and Figure 3CDown presents statistical data from 6 strands. The shock strength in these measurements was 2.3±0.1 V/cm inducing nearly equal maximal {Delta}V+m and {Delta}V-m (16.8±3.0 and 18.7±3.2%APA, NS). Nifedipine caused small increases in both {Delta}V+m and {Delta}V-m (to 21.3±2.7 and 22.2±4.3%APA) without changing the asymmetry ratio (1.13±0.2 versus 1.05±0.2%APA, NS).



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Figure 3. Effect of nifedipine on small {Delta}Vm. A, Vm recordings from selected diodes during application of 2.5 V/cm (control) and 2.3 V/cm (nifedipine) shocks. B, Spatial profiles of {Delta}Vm across the strand at t=5 ms after shock onset. C, Effect of nifedipine on optical {Delta}V+m, {Delta}V-m, asymmetry ratio {Delta}V-m/{Delta}V+m, and {Delta}V-m+{Delta}V+m in 6 strands. Shock strength was 2.3±0.1 V/cm. E indicates shock waveform. *Statistically significant difference from control value (P<0.05).

Wide Strands
To test whether the strand width modulated the effects of nifedipine on {Delta}Vm, measurements were performed in strands 0.8 mm in width. The shock strength in these experiments was adjusted to produce asymmetrical {Delta}Vm with magnitudes similar to the ones observed in the narrow strands. Figures 4ADown through 4CDown present a typical example of {Delta}Vm caused by 10.8 V/cm (control) and 10.6 V/cm (nifedipine) shocks. The spatial distribution of {Delta}Vm was uniform (Figure 4BDown) and nonlinear (Figure 4CDown), as expected from {Delta}Vm in strands with width larger than {lambda}. The maximal amplitudes of {Delta}V+m and {Delta}V-m were 57 and -200%APA, respectively, resulting in the asymmetry ratio of 3.5. As in the narrow strands, application of nifedipine caused a strong increase of the {Delta}V+m (100%APA). Contrary to the narrow strands, however, the maximal {Delta}V-m slightly increased (–207%APA). The increase of {Delta}V+m reduced the asymmetry ratio to 2.1.



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Figure 4. Effect of nifedipine on shock-induced {Delta}Vm in wide strands. A, Optical recordings of Vm from selected diodes and shock waveform taken under control conditions and during nifedipine application. Corresponding shock strengths were 10.8 and 10.6 V/cm. B, Isopotential maps of {Delta}Vm distribution 5 ms after shock onset. Thick lines depict the 0 isoline that separates areas of depolarization and hyperpolarization. C, Spatial profiles of {Delta}Vm across the strand. D, Effect of nifedipine on optical {Delta}V+m, {Delta}V-m and asymmetry ratio {Delta}V-m/{Delta}V+m in 8 strands. Shock strength was 9.3±0.8 V/cm. E indicates shock waveform. *Statistically significant difference from control value (P<0.05).

Similar results were obtained in 8 strands measuring 0.8 mm in width (Figure 4DUp). The mean shock strength was 9.3±0.8 V/cm. In the control, the magnitudes of maximal {Delta}V+m and {Delta}V-m were 83±8 and 156±17%APA, respectively. Nifedipine caused a large and reversible increase of {Delta}V+m to 107±11%APA (P<0.001), which represents a change of 70%, and a small increase of {Delta}V-m to 171±20%APA (P<0.001). Because of the increase of {Delta}V+m, the {Delta}Vm asymmetry was reduced from 2.52±0.5 to 1.62±0.2 (P<0.001).

Effect of 4-AP on {Delta}Vm
The effects of 4-AP (2 mmol/L) on shock-induced {Delta}Vm were determined in 7 narrow strands. In 6 of 7 strands, 4-AP caused a small reduction in {Delta}V+m and {Delta}V-m, whereas in 1 strand they were slightly increased. Figure 5ADown presents an example of the Vm recordings during application of a 15.6 V/cm shock in which {Delta}Vm was decreased. For simplicity, only the traces measured at the strand edges with maximal {Delta}V+m and {Delta}V-m are shown. The relative changes in {Delta}V+m and {Delta}V-m were similar, which is reflected in the decrease of the slope of the spatial profile of {Delta}Vm with only a slight shift of the 0 point (Figure 5BDown), reflecting no change in the {Delta}Vm asymmetry. Figure 5CDown presents data of {Delta}Vm measurements in the 6 strands in which {Delta}Vm was decreased. 4-AP caused small reductions in the average {Delta}V+m, {Delta}V-m and {Delta}V+m+{Delta}V-m, but no change in the asymmetry ratio in these strands or in the remaining strand. The decrease of {Delta}V+m+{Delta}V-m without change of the {Delta}V-m/{Delta}V+m can be attributed to a decrease of the APA and not to changes in {Delta}Vm per se.



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Figure 5. Effect of 4-AP on {Delta}Vm in narrow strands. A, Vm recordings from selected diodes and shock waveform (E) in control and during application of 2 mmol/L 4-AP in a 0.18-mm strand. B, Spatial profile of {Delta}Vm across the strand 5 ms after shock onset. C, Statistical data on {Delta}Vm measurements in 6 strands. Shock strength was 15.0±0.8 V/cm. *Statistically significant difference from control value (P<0.05).

Effect of Shocks on Diastolic Vm
It has been previously suggested that {Delta}Vm asymmetry is caused by membrane electroporation.16 Membrane electroporation is typically manifested by reduction of diastolic potential after shock application.17 To test whether shocks induced such changes of Vm in cell cultures, 500-ms recordings of Vm were carried out in 4 narrow strands (shock strength 18.7±2 V/cm) and 4 wide strands (shock strength 9.8±0.9 V/cm). Figure 6Down compares Vm recordings with and without a shock in a typical case with asymmetrical {Delta}Vm (Figure 6ADown) caused by 9.9 V/cm shock in a 0.8-mm strand. The repolarization phase of the AP (Figure 6BDown), although being compromised by the motion artifact, was not significantly different in traces with and without shock. Most importantly, there were no changes in the diastolic level of Vm, indicating an absence of electroporation. Similar results were obtained in all 8 strands.



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Figure 6. Effect of shocks on diastolic Vm. Initial portions (A) and whole 500-ms optical recordings (B) of Vm from selected diodes during application of a 9.9 V/cm shock in a 0.8-mm strand. The upward drift of Vm in panel B was caused by dye photobleaching. E indicates shock waveform.


*    Discussion
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowMaterials and Methods
up arrowResults
*Discussion
down arrowAppendix 1
down arrowReferences
 
Understanding the mechanisms of Vm changes induced by an electric field is essential for understanding the mechanism of defibrillation. In the present work, we used ionic channel blockers to evaluate the contribution of Ca2+ and potassium ionic currents in the nonlinear Vm changes in cultured monolayers of neonatal rat myocytes. The most important findings of this work are that (1) blocking the L-type Ca2+ current with nifedipine caused an increase in the shock-induced {Delta}V+m and a reduction in the {Delta}Vm asymmetry, (2) application of the Ito blocker 4-AP did not reduce the {Delta}Vm asymmetry, and (3) effects of the drugs on {Delta}Vm were modulated by the tissue geometry.

Roles of K+ Currents in Nonlinear {Delta}Vm
The asymmetry in the shock-induced {Delta}Vm with larger negative than positive Vm changes reflects an increase in the net outward current. Therefore, it could be expected that the mechanism of the {Delta}Vm asymmetry was related to the flow of an outward K+ current and application of potassium channel blockers should reduce the degree of the {Delta}Vm asymmetry. In a previous study, we tested the effects of barium chloride and dofetilide, inhibitors of inward rectifier and delayed rectifier potassium currents.11 Neither of these channel blockers reversed the asymmetrical distribution of {Delta}Vm. Another possible candidate for such an outward current is Ito, which is prominent during the early plateau phase.15 We found that application of Ito blocker 4-AP reduced both {Delta}V-m and {Delta}V+m without change in the {Delta}Vm asymmetry ratio (Figure 5Up). Part of the changes in the optically measured {Delta}Vm caused by 4-AP might be attributed to the effect of 4-AP on the APA. An increase of APA by 4-AP is indicated by the decrease of {Delta}V-m+{Delta}V+m (Figure 5CUp). Because APA was used to normalize {Delta}Vm measurements, an increase of APA by 4-AP can explain the apparent decrease of {Delta}Vm. Importantly for the questions addressed in this work, however, 4-AP did not change the asymmetry ratio, which excludes Ito as the outward current responsible for the mechanism of {Delta}Vm asymmetry. On the basis of these results, as well as the results of the previous study,11 it can be concluded that the outward potassium currents are not responsible for the asymmetrical nonlinear dynamics of {Delta}Vm in myocyte cultures.

Role of Ca2+ Current in Nonlinear {Delta}Vm
Quite unexpectedly, it was found that the asymmetrical nonlinear behavior of {Delta}Vm was reversed by application of Ca2+ channel blocker nifedipine. As seen in Figures 2Up and 4Up, nifedipine caused a strong increase in the magnitude of the maximal positive {Delta}Vm, but either no change (wide strands) or a decrease (narrow strands) of the negative {Delta}Vm. In both cases, the {Delta}Vm asymmetry was strongly reduced.

As we argue below, the effect of nifedipine on the {Delta}V-m in the narrow strands was not direct but was mediated via electrotonic interaction with the area of positive {Delta}Vm. Thus, the key effect of nifedipine was the increase of the {Delta}V+m. In general, 2 different explanations for this effect are possible. First, nifedipine could directly affect the {Delta}V+m. Second, similarly to the effect of 4-AP, nifedipine could affect APA, thus changing the optically measured {Delta}V+m. Although it is known that nifedipine can slightly reduce APA in neonatal rat myocytes,15 this effect does not explain the available data. Indeed, the degree of the APA change can be inferred from the change in the sum of optical {Delta}V+m and {Delta}V-m in the narrow strands. This sum equals E*L/APA, where E and L are the field strength and the strand width, respectively (see Appendix). As shown in Figure 2DUp, this parameter changed in average by only {approx}5%. The average change in {Delta}V+m was 6-fold larger in the narrow strands ({approx}33%) and >10-fold larger in the wide strands ({approx}73%). Another argument against this interpretation is that nifedipine strongly reduced the asymmetry ratio, which is independent of APA. Thus, the APA changes cannot account for the measured changes in the optical {Delta}Vm.

More likely, nifedipine caused a direct effect on the shock-induced {Delta}V+m. The fact that nifedipine increased {Delta}V+m indicates that the flow of Ca2+ current in control conditions prevented the positive changes of Vm or, in other words, ICa was directed outward. Normally, ICa is inward but it changes direction when the Vm is above the reversal potential. This line of reasoning leads to a conclusion that the {Delta}Vm asymmetry was caused by the outward flow of ICa in the depolarized portions of strands when the Vm levels exceeded the ICa reversal potential. According to patch-clamp studies, the ICa reversal potential in rat and rabbit myocytes is 45 to 50 mV.18 19 The magnitudes of the nifedipine-sensitive {Delta}V+m caused by strong shocks were higher in this study, which is consistent with the idea that ICa was outwardly directed in these portions of the strands. This explanation of the {Delta}Vm asymmetry is also supported by measurements using weak shocks, which showed no sensitivity of the {Delta}Vm ratio to nifedipine when {Delta}Vms were {approx}20%APA. Assuming that the APA was 100 mV and the plateau level was 20 mV, this level is close to the ICa reversal potential.

In addition to the effect of {Delta}Vm asymmetry, involvement of Ca2+ current might also explain the saturation of positive {Delta}Vm observed during strong shocks.9 11 Previously, the effect of {Delta}Vm saturation was linked to a nonspecific increase in membrane conductance caused by membrane electroporation.16 However, saturation of positive {Delta}Vm was observed in cardiac tissue at {Delta}Vm levels of {approx}100 mV,9 11 whereas electroporation in voltage-clamp experiments typically occurred at {Delta}Vm >300 mV.17 Furthermore, shocks caused no change in the diastolic potential (Figure 6Up), which is expected from electroporation.17 Therefore, results of this study indicate that the ionic properties of the cell membrane reduce the likelihood of reaching very high Vm levels, thus protecting cardiac cells from the detrimental effects of strong electric shocks.17

Modulation of Drug Effects by Tissue Structure
An interesting feature of the effects of drugs on {Delta}Vm is that they were strongly dependent on the tissue structure. Thus, nifedipine caused reduction of the negative {Delta}Vm in the narrow strands (Figure 2Up) but not in the wide strands (Figure 4Up). The decrease of {Delta}V-m in the narrow strands was likely not due to the effects of nifedipine on the channel properties at these locations but was rather due to the electrotonic interaction between the depolarized and hyperpolarized areas. Because of a strong electrotonic interaction in the narrow strands, any charge entering intracellular space on one side of the strand should quickly redistribute across the strand, causing equivalent shifts of Vm at all sites, as in Figure 2Up. When the area of hyperpolarization is "buffered" from the area of depolarization, the {Delta}V-m was much less affected by the shock (Figure 4Up).

Overall, these results indicate that the effects of shocks on Vm in cardiac tissue are a result of dynamic interaction among several factors, including active properties of cell membrane, myocardial structure, and passive tissue properties, as well as applied electric field.

Limitations
Extrapolation of the results of this study to the intact adult myocardium can be potentially limited by differences in the ultrastructural and ionic channel properties between neonatal and adult myocytes. Particularly, the cellular distribution of gap junctions is different in cells of these 2 types.20 21 22 This difference might affect distribution of the shock-induced {Delta}Vm on the subcellular scale, but it should not play a significant role in {Delta}Vm measured on a scale larger than cell size. In the context of this study, a more important factor is the species- and age-dependent differences in properties of ionic currents.23 24 25 26 27 Nevertheless, the fact that the same types on nonlinear {Delta}Vm were observed both in neonatal rat10 11 and in adult guinea pig8 9 12 preparations suggests that response of Vm to defibrillation shocks shares common mechanisms.


*    Acknowledgments
 
This work was supported by a grant from the Whitaker Foundation (to V.G.F.) and NIH Grant HL-42760 (to R.E.I.). We thank Windy Jones for her help with preparation of the cell cultures.


*    Appendix 1
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up arrowAbstract
up arrowIntroduction
up arrowMaterials and Methods
up arrowResults
up arrowDiscussion
*Appendix 1
down arrowReferences
 
Magnitude of ({Delta}V+m+{Delta}V-m) in Narrow Strands
When strand width, L, is much smaller than the electrotonic space constant, {lambda}, the intracellular potential, Vi, is constant across the strand. Therefore, any change in Vm (Vm=Vi-Ve, where Ve is extracellular potential) across a strand is due to changes in Ve, or

The change in Ve across a strand, {Delta}V+e+{Delta}V-e, is equal to E*L, where E is field strength. Therefore,

and for optically measured {Delta}Vm,

Received June 30, 2000; revision received July 21, 2000; accepted July 21, 2000.


*    References
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowMaterials and Methods
up arrowResults
up arrowDiscussion
up arrowAppendix 1
*References
 
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