Literature DB >> 23345692

Resonant drift of spiral waves in the complex ginzburg-landau equation.

I V Biktasheva1, Y E Elkin, V N Biktashev.   

Abstract

Weak periodic external perturbations of an autowave medium can cause large-distance directed motion of the spiral wave. This happens when the period of the perturbation coincides with, or is close to the rotation period of a spiral wave, or its multiple. Such motion is called resonant or parametric drift. It may be used for low-voltage defibrillation of heart tissue. Theory of the resonant drift exists, but so far was used only qualitatively. In this paper, we show good quantitative agreement of the theory with direct numerical simulations. This is done for Complex Ginzburg-Landau Equation, one of the simplest autowave models.

Keywords:  Asymptotics; Autowaves; Oscillatory medium; Parametric drift; Reaction-diffusion System; Resonant drift; Response functions; Spiral waves

Year:  1999        PMID: 23345692      PMCID: PMC3455966          DOI: 10.1023/A:1005134901624

Source DB:  PubMed          Journal:  J Biol Phys        ISSN: 0092-0606            Impact factor:   1.365


  7 in total

1.  Finite-dimensional behavior in dissipative partial differential equations.

Authors:  J. C. Robinson
Journal:  Chaos       Date:  1995-03       Impact factor: 3.642

2.  Reentrant waves and their elimination in a model of mammalian ventricular tissue.

Authors:  V N Biktashev; A V Holden
Journal:  Chaos       Date:  1998-03       Impact factor: 3.642

3.  Spatial Doppler anomaly in an excitable medium.

Authors: 
Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics       Date:  1996-08

Review 4.  Functional roles of sodium-calcium exchange in normal and abnormal cardiac rhythm.

Authors:  D Noble; J Y LeGuennec; R Winslow
Journal:  Ann N Y Acad Sci       Date:  1996-04-15       Impact factor: 5.691

5.  Re-entrant activity and its control in a model of mammalian ventricular tissue.

Authors:  V N Biktashev; A V Holden
Journal:  Proc Biol Sci       Date:  1996-10-22       Impact factor: 5.349

6.  Control of re-entrant activity in a model of mammalian atrial tissue.

Authors:  V N Biktashev; A V Holden
Journal:  Proc Biol Sci       Date:  1995-05-22       Impact factor: 5.349

7.  Design principles of a low voltage cardiac defibrillator based on the effect of feedback resonant drift.

Authors:  V N Biktashev; A V Holden
Journal:  J Theor Biol       Date:  1994-07-21       Impact factor: 2.691

  7 in total
  1 in total

1.  Optogenetics enables real-time spatiotemporal control over spiral wave dynamics in an excitable cardiac system.

Authors:  Rupamanjari Majumder; Iolanda Feola; Alexander V Panfilov; Daniel A Pijnappels; Alexander S Teplenin; Antoine Af de Vries
Journal:  Elife       Date:  2018-09-27       Impact factor: 8.140

  1 in total

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