Differential meander of re-entrant spiral waves in mammalian virtual ventricular tissue

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University of Bristol (2001) J Physiol 536P, S133

Communications: Differential meander of re-entrant spiral waves in mammalian virtual ventricular tissue

O.V. Aslanidi, V.N. Biktashev*, R.H. Clayton and A.V. Holden

School of Biomedical Sciences, University of Leeds, Leeds LS2 9JT and *Department of Mathematical Sciences, University of Liverpool, Liverpool L69 9ZL, UK

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We have shown previously that the motion of re-entrant waves in virtual tissues is sensitive to cellular electrophysiology, and the spatial extent of their meander is related to the probability of self-termination, and hence lethality, of arrhythmias in the long QT syndromes (Clayton et al. 2001). In the present study four ventricular cardiac cell models from the Luo-Rudy II family simulating normal epi-, endo- and M cells (Viswanathan & Rudy, 2000) and ischaemic epicardial cells (Shaw & Rudy, 1997), were incorporated as the reaction terms of a two-dimensional system of reaction-diffusion equations. The diffusion coefficient was 0.6 cm2 s-1 giving a solitary plane wave propagation velocity of 0.45 m s-1 for normal epicardial tissue. We initiated re-entrant waves in 6 to 8 cm square media by the phase distribution method (Biktashev & Holden, 1998), and followed their rotation and meander over 2 s.All four virtual ventricular tissue models with the standard parameter values have stable spiral wave solutions. We observed rigid rotation for the epi-, endo-and M models, and biperiodic meander for the ischaemic model. We found that if the maximal value of g Ks is reduced, the period of the stable spiral wave solution increases and the spatial extent of meander increases. The same proportionate decrease in g Ks causes differential increases in the extent of meander: a 50 % decrease in g Ks results in a threefold increase in the spatial extent of meander for endo-, but only a twofold increase for epicardial virtual tissue.This research was funded by the MRC, EPSRC and British Heart Foundation.

figure one
Figure 1. Spatial extent of the spiral wave meander upon IKs blocking for epicardial (black circles), endocardial (grey circles), midmyocardial (white circles) and ischaemic (black squares) virtual tissues.
    Biktashev, V.N. & Holden, A.V. (1998). Chaos. 8, 48-56.

    Clayton, R.H., Bailey, A., Biktashev, V.N. & Holden, A.V. (2001). J. Theor. Biol. 208, 215-225.

    Shaw, R. & Rudy, Y. (1997). Cardiovasc. Res. 35, 256-272.

    Viswanathan, P.C. & Rudy, Y. (2000). Circulation 101, 1192-1198.

Where applicable, experiments conform with Society ethical requirements.

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