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                    3.4 Propagation in the Wake of a Cardiac Action Potential



               We concluded the previous section with a discussion of unidirectional block, an important

        ingredient of reentrant arrhythmias, caused by structural inhomogeneities of tissue architecture.
        However, structural inhomogeneities are not necessary for the development of unidirectional
        block; in fact, it can occur in tissue with completely homogeneous structure and uniform intrinsic
        electrical properties. Under such circumstances, the asymmetry of source-sink properties that
        underlies directional differences of conduction is introduced by the functional electric asymmetry

        of the cardiac action potential itself.


               A unidirectional block can develop when local cardiac excitation occurs during the

        repolarization phase (tail) of a preceding action potential.   222,223,224   In the heart, this can occur due
        to spontaneous premature excitation. There is a critical window during which unidirectional block
        can be induced. This “vulnerable window”      222,224,225  can be characterized as time interval in the time
        domain (TW), spatial distance in the space domain (SW) and a range of voltages in the voltage
        domain (VW). Figure 3.15 is a schematic of the vulnerable window during the repolarization phase

        of a propagating action potential (shaded). Outside this window, unidirectional block (or
        equivalently, unidirectional conduction) cannot be induced; propagation either fails or succeeds
        in both directions when a stimulus is applied to the left or right of the vulnerable window,

        respectively (Figure 3.15). In the time domain this translates to too early or too late during the
        action potential repolarization phase. For a stimulus in the vulnerable window, the action
        potential propagates in the retrograde direction (to the right in Figure 3.15) but blocks in the
        antegrade direction (left in Figure 3.15). Because in the retrograde direction the tissue is progres-
        sively more recovered from refractoriness as the distance increases, propagation is incremental in

        this direction. Conversely, in the antegrade direction the membrane is progressively less excitable
        with distance and propagation in this direction is decremental.



               Figure 3.16 shows a simulation of propagation induced by a premature stimulus in the
        vulnerable window, in the wake of a propagating action potential. In the retrograde direction, the
        action potential propagated a distance of 40 cells before reaching the region of fully excitable
        membrane. The conduction velocity was only 19.5 cm/sec along the first 10 cells. As the distance
        increased, the velocity gradually increased, reaching 38.2 cm/sec along cells 30 to 40. In the

        antegrade direction, propagation gradually diminished as membrane excitability decreased in
        this direction. The action potential gradually decreased in amplitude and its velocity slowed
        gradually as well (17.5 cm/sec in the first 5 cells; 9.7 cm/sec in the next 5 cells). The graded nature of

        electrical excitability for an action potential induced in the vulnerable window is clearly depicted
        in Figure 3.16. In the retrograde direction, sodium channel availability (g ) recovers slowly from
                                                                                       Na
        curve 1 to curve 5, reflecting the time course of recovery of the sodium channel inactivation gate,
        h (the activation gate, m, is practically fully recovered and does not determine the behavior of g ).
                                                                                                                 Na
        In the antegrade direction, there is a sharp decrease in g  from curve 3 to curve 4. This decre-
                                                                      Na
        mental behavior reflects the sharp decrease in the activation parameter, m.
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