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From the Department of Physiology, University of Bern, Switzerland
Correspondence to Dr André G. Kléber, Department of Physiology, University of Bern, Bühlplatz5, CH-3012 Bern, Switzerland. E-mail KLEBER{at}PYL.UNIBE.CH
See related article, pages 277284
Key Words: action potential optical measurements excitation propagation upstroke
Since the first measurement of an action potential from cardiac tissue by Coraboeuf and Weidmann in 1948,1 the biological information contained in its shape has been the subject of many theoretical and experimental studies.
In the context of the article published by Hyatt et al2 in the current issue of Circulation Research, describing the role of the shape of an optical action-potential upstroke, it seems important to define the action potential of a cardiac cell. An action potential, in the classical sense of the term, is caused by the change in transmembrane potential of a cardiac cell during excitation. It is usually measured from a very small site with a microelectrode (diameter <1 mm) or with a voltage-sensitive dye (smallest membrane area 6x6 mm).1,3 It is not disputed that the upstroke of the normal cardiac action potential is caused by the flow of ions through channels specific for Na+.4 In the sinoatrial node and the inner zone of the atrioventricular node, ionic current through the L-type Ca2+ channel may play an additional role (see Kléber et al5). In the setting of isopotentiality of the cell membrane (created artificially by voltage clamp) the ionic current during a subsequent action potential will change the charge distribution at the lipid membrane bilayer. Expressed in terms of a simple biophysical model, the change in membrane potential, dV/dt, is proportional to ion current flow and the steepest portion of the action-potential upstroke, dV/dtmax, occurs at maximal Na+ flow.4
In the case of a propagated action potential, the situation is more complex. Here, the net ionic charge flowing through channels and exchangers incorporates 2 components, a first component changing the membrane capacity and producing the action-potential upstroke and a second component providing charge for excitation of downstream elements. The match between these 2 electrical charges and the charge needed for excitation of a given cell (initial portion or "foot" of the action potential) determines whether there is successful propagation or conduction block.6 The fact that ionic inward current provides the charge for excitation of still-resting neighbor cells is not only the key to successful propagation; it also means that downstream current flow affects the shape of the action-potential upstroke. Thus in plane wave propagation in a continuous medium, the maximal upstroke velocity occurs late during the upstroke and is no longer a direct measure of Na+ inward current flow.7,8 As long as the downstream impedance load remains constant (so-called "continuous conduction"), the shape of the cardiac action potential remains constant during propagation and the change of membrane voltage as a function of time is directly coupled to the spatial change through propagation velocity.9
However, real heart tissue is different from a continuous electrical medium. Thus, structural and functional discontinuities are present at several levels. At the cellular level, discontinuities are attributable to the presence of cell borders and intercellular connections formed by connexin proteins; at the tissue level structural discontinuities are formed by connective tissue septa (increasing with age) and the intrinsic myocardial architecture is characterized by laminar and trabecular structures.10,11 The biophysical rules explaining the changes in shape of propagating action potential attributable to current-to-load mismatch are independent of the scale at which the discontinuities occur. Thus, partial collision of a propagation wave with a resistive obstacle leads to an increase in action-potential upstroke velocity, whereas dispersion of local current at a site of a convex wavefront leads to a decrease of action-potential upstroke velocity and to a concomitant increase of the duration of the action-potential upstroke.7,1214
The first portion or "foot" of the action-potential upstroke is caused by electrotonic current flowing into the membrane capacitance from excited upstream elements. Several experimental and theoretical studies have shown that the shape of the action-potential "foot", like the later portion of the upstroke, is affected by variables other than the local membrane properties. Thus, the action-potential foot is changed by propagation in tissue layers adjacent to a bulk conductor (subendocardial and subepicardial layers) and by the presence of the dense microvasculature that can alter the action-potential foot by acting as a direction-dependent reservoir for electrical charge provided by local current flow in the wavefront of excitation.1518 In summary, the upstroke of a propagating action potential in a cardiac cell is determined in a complex way by the depolarizing ion current as well as by the changing downstream resistive and capacitive load that is dependent on the underlying (anisotropic) cardiac structure.
Measurement of intracellular potential, ie, the action-potential upstroke in the proper sense of the term, has been mostly confined to single cells, 2D tissue cultures, or the immediate subsurface layer of cardiac tissue. Intramural information about the moment of local depolarization has been derived from unipolar or bipolar extracellular electrograms. In seminal studies multiterminal "needle electrodes" were used to define the excitation of the total human heart by isochrone mapping19 and the potential distribution during excitation and repolarization in the dog heart.20 A further step in the analysis of transmural electrical activity was made with the development of the so-called arterially-perfused "wedge" preparation.21 This preparation enables recording from an intramural surface layer exposed by cutting the ventricular wall and preserving its perfusion. Although this preparation is very useful to analyze radially-oriented electrical gradients, the cut surface represents a reflection boundary for tangentially-oriented electrical currents and wavefronts. Only recently, optical measurements of transmembrane action potentials were obtained from so-called "optrodes", ie, optical fibers introduced into the depth of the myocardium.22,23 However, the shape of the action-potential upstroke was not specifically analyzed in these experiments.
In the current issue of Circulation Research, Hyatt et al2 present a new method for obtaining information about the direction of wave front propagation in subepicardial tissue layers. The term optical-action-potential upstroke, as used by Hyatt et al, stands for the weighted spatio-temporal convolution of action-potential upstrokes from a multicellular volume of tissue emitting light from the subepicardial muscle layers (Figure). The authors use the analysis of the shape of the optical-action-potential upstroke, computed from a monodomain model and measured on the epicardial surface of a pig heart, to define the angle between the intramural wavefront and the epicardial surface. In this way, the authors show that it is possible to gain information about intramural 3D propagation from 2D epicardial measurements.
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It is important to note that there is no essential difference between the direct electrical measurement of membrane potential (microelectrode) and the measurement with voltage-sensitive dyes, with the exception that the latter provide a relative measure and may require calibration (Figure).3,24 The duration of the optical-action-potential upstroke, as defined by Hyatt et al, is more than 1 order of magnitude longer than the duration of a "classical" local action-potential upstroke (Figure). To validate their method, the authors use a comparison with computer simulations. The information about the wavefront angle stems from the averaging process that masks the classical action-potential shape produced by the individual cells contributing to the signal. The mechanism underlying the shape change, although not explained in detail by the authors, seems to be intuitively clear. In the case of a wavefront propagating away from the epicardium, the early component of the signal is dominated by excitation of the cells closest to the light sensor (steep component), although the later component will be slurred by the superimposition of action potential excited deeper and later. This is expected to produce initially a steeper voltage change than in the later phase of the optical-action-potential upstroke. Conversely, a wave front approaching the epicardium will produce proximal steep local components on collision with the epicardium, ie, in the end phase of the process. One of the experiments that the authors use to validate the method also suggests a useful application. On centrifugal spread from a central stimulus, the angle of the wavefront changes. The zero-angle, as derived from the action-potential shape, will indicate propagation parallel to the epicardium. Measurement of propagation velocity at that site will minimize the error that may be caused by the changing axis of anisotropy or by the inclusion of sites within the area of the virtual stimulus electrode.25 The applicability to further situations of epicardial and subepicardial propagation remains to be demonstrated. An interesting case will be the investigation of epicardial and intramural activation during the spread of intramural scroll waves occurring during ventricular tachyarrhythmias and fibrillation.26 However, one caveat remains. The method is not suited to localize wavefront angles in case of wavefront collision. Especially during normal cardiac excitation, with preferential endocardial-to-epicardial propagation, collision is expected to occur between epicardial waves emerging from epicardial breakthrough sites.19 Moreover, propagation on the endocardial surface is characterized by discontinuous propagation because of trabeculation and the presence of the Purkinje fiber network that is expected to produce sites of wavefront dispersion and partial collision.14,27 Therefore, it will be interesting to validate the usefulness of this method on the endocardial surface of the heart.
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