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- Vadim N. Biktashev, A. V. Holden
- Chaos
- 1998

The vulnerability to reentrant wave propagation, its characteristics (period, meander, and stability), the effects of rotational transmural anisotropy, and the control of reentrant waves by smallâ€¦ (More)

- Rebecca Suckley, Vadim N. Biktashev
- I. J. Bifurcation and Chaos
- 2003

- Rebecca Suckley, Vadim N. Biktashev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

We analyze the asymptotic structure of two classical models of mathematical biology, the models of electrical action by Hodgkin-Huxley (1952) for a giant squid axon and by Noble (1962) for mammalianâ€¦ (More)

- Stuart W Morgan, Gernot Plank, Irina V. Biktasheva, Vadim N. Biktashev
- Biophysical journal
- 2009

We aim to assess the effectiveness of feedback-controlled resonant drift pacing as a method for low energy defibrillation. Antitachycardia pacing is the only low energy defibrillation approach toâ€¦ (More)

We consider a spatially distributed population dynamics model with excitable predator-prey kinetics, where species propagate in space due to their taxis with respect to each other's gradient inâ€¦ (More)

- Irina V. Biktasheva, Hans Dierckx, Vadim N. Biktashev
- Physical review letters
- 2015

A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behavior is affected by the layer geometry. We identify the effect of sharp variations of the layerâ€¦ (More)

- Irina V. Biktasheva, Vadim N. Biktashev
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

We demonstrate and explain a wave-particle dualism of such classical macroscopic phenomena as spiral waves in active media. That means although spiral waves appear as nonlocal processes involving theâ€¦ (More)

An excitation wave in cardiac tissue will fail to propagate if the transmembrane voltage at its front rises too slow and does not excite the tissue ahead of it. Then the sharp voltage profile of theâ€¦ (More)

- Vadim N. Biktashev, A. V. Holden
- Journal of theoretical biology
- 1994

We explore the possibility of exploiting the phenomenon of the resonant drift of autowave vortices in the design of low-voltage cardiac defibrillators. The problem of reflection of resonantlyâ€¦ (More)

- Vadim N. Biktashev, A. V. Holden
- Proceedings. Biological sciences
- 1996

We characterize the meander of re-entrant excitation in a model of a sheet of mammalian ventricular tissue, and its control by resonant drift under feedback driven stimulation. The Oxsoft equationsâ€¦ (More)