Abstract
Ventricular fibrillation (VF), a class of cardiac arrhythmias that is often fatal, is associated with the breakdown of spatially coherent activity in heart tissue. Modeling studies have linked VF with the onset of spatiotemporal chaos in the electrophysiological activity of the heart, through the creation and subsequent breakup of spiral waves. Conventionally, defibrillation is carried out by applying large electrical shocks to the heart which has harmful effects both in the short and long terms. Using nonlinear dynamics techniques, several low-amplitude control methods for VF have been suggested. However, all of them suffer from the problem of either having to use high power (applied over the entire system) or extremely high frequencies (which are unstable and may spontaneously give rise to further VF episodes). In this paper we propose a spatially extended but non-global scheme for controlling VF in simulated cardiac tissue. The method involves successive activation of electrodes arranged in a square array, such that, a wave of control stimulation is seen to propagate through the system. Our simulations involving both simple and realistic models of ventricular tissue show that spatiotemporal chaotic activity associated with VF can be terminated using low amplitude control.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. N. Anderson, K. D. Kochanek, S. L. Murphy, Report of Final Mortality Statistics 1995, NCHS Monthly Vital Statistics Report 45, Supplement 2, 7 (1997)
J. Keener, J. Sneyd, Mathematical Physiology, Springer, Berlin (1998)
A. V. Panfilov, P. Hogeweg, Spiral breakup in modified FitzHugh-Nagumo model, Phys. Lett. A 176, 295–299 (1993)
A. V. Panfilov, Spiral breakup as a model of ventricular fibrillation, Chaos 8(1), 57–64 (1998)
A. Hodgkin, A. Huxley, A quantitative description of ion currents and its application to conduction and excitation in nerve membranes, J. Physiol. (London) 117, 500–544 (1952)
C. H. Luo, Y. Rudy, A model of the ventricular cardiac action potential, Circ. Res. 68(6), 1501–1526 (1991)
R. Pandit, A. Pande, S. Sinha, A. Sen, Spiral turbulence and spatiotemporal chaos: Characterization and control in two excitable media, Physica A 306, 211–219 (2002)
F. X. Witkowski, L. J. Leon, P. A. Penkoske, W. R. Giles, M. L. Spano, W. L. Ditto, A. T. Winfree, Spatiotemporal evolution of ventricular fibrillation, Nature (London) 392, 78–82 (1998)
R. A. Gray, A. M. Pertsov, J. Jalife, Spatial and temporal organization during cardiac fibrillation, Nature (London) 392, 75–78 (1998)
P. Wang, P. Xie, H. Yin, Control of spiral waves and turbulent states in a cardiac model by travelling wave perturbations, Chin. Phys 12, 674–682 (2003)
G. V. Osipov, J. J. Collins, Using weak impulses to suppress traveling waves in excitable media, Phys. Rev. E 60, 54–57 (1999)
R. A. Gray, Termination of spiral wave breakup in a Fitzhugh-Nagumo model via short and long duration stimuli, Chaos 12, 941–951 (2002)
S. Alonso, F. Sagues, A. S. Mikhailov, Taming Winfree turbulence of scroll waves in excitable media, Science, 299, 1722–1725 (2003)
S. Alonso, F. Sagues, A. S. Mikhailov, Periodic forcing of scroll rings and control of Winfree turbulence in excitable media, Chaos, 16, 023124 (2006)
S. Alonso, J. M. Sancho, F. Sagues, Suppression of scroll wave turbulence by noise, Phys. Rev. E 70, 067201 (2004)
A. T. Stamp, G. V. Osipov, J. J. Collins, Suppressing arrhythmias in cardiac models using overdrive pacing and calcium channel blockers, Chaos 12, 931–940 (2002)
H. Zhang, B. Hu, G. Hu, Suppression of spiral waves and spatiotemporal chaos by generating target waves in excitable media, Phys. Rev. E 68, 026134 (2003)
J. Breuer, S. Sinha, Controlling spatiotemporal chaos in excitable media by local biphasic stimulation, preprint nlin.CD/0406047 (2004)
H. Zhang, Z. Cao, N. Wu, H. Ying, G. Hu, Suppressing Winfree turbulence by local forcing excitable systems, Phys. Rev. Lett. 94, 188301 (2005)
A. V. Panfilov, J. P. Keener, Effects of high frequency stimulation on cardiac tissue with an inexcitable obstacle, J. Theor. Biol. 163, 439–448 (1993)
S. Sinha, A. Pande, R. Pandit, Defibrillation via the elimination of spiral turbulence in a model for ventricular fibrillation, Phys. Rev. Lett. 86, 3678–3681 (2001)
D. J. Gauthier, G. M. Hall, R. A. Oliver, E. G. Dixon-Tulloch, P. D. Wolf, S. Bahar, Progress toward controlling in vivo fibrillating sheep atria using a nonlinear-dynamics-based closed-loop feedback method, Chaos 12, 952–961 (2002)
A. R. J. Mitchell, P. A. R. Spurrell, L. Cheatle, N. Sulke, Effect of atrial anti-tachycardia pacing treatments in patients with an atrial defibrillator: Randomised study comparing subthreshold and nominal pacing outputs, Heart 87, 433–437 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media B.V.
About this paper
Cite this paper
Sinha, S., Sridhar, S. (2009). Controlling Spiral Turbulence in Simulated Cardiac Tissue by Low-Amplitude Traveling Wave Stimulation. In: Dana, S.K., Roy, P.K., Kurths, J. (eds) Complex Dynamics in Physiological Systems: From Heart to Brain. Understanding Complex Systems. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9143-8_5
Download citation
DOI: https://doi.org/10.1007/978-1-4020-9143-8_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9142-1
Online ISBN: 978-1-4020-9143-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)