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Spiral-wave dynamics in ionically realistic mathematical models for human ventricular tissue: the effects of periodic deformation

Nayak, Alok R and Pandit, Rahul (2014) Spiral-wave dynamics in ionically realistic mathematical models for human ventricular tissue: the effects of periodic deformation. In: FRONTIERS IN PHYSIOLOGY, 5 .

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Official URL: http://dx.doi.org/ 10.3389/fphys.2014.00207

Abstract

We carry out an extensive numerical study of the dynamics of spiral waves of electrical activation, in the presence of periodic deformation (PD) in two-dimensional simulation domains, in the biophysically realistic mathematical models of human ventricular tissue due to (a) ten-Tusscher and Panfilov (the TP06 model) and (b) ten-Tusscher, Noble, Noble, and Panfilov (the TNNPO4 model). We first consider simulations in cable-type domains, in which we calculate the conduction velocity theta and the wavelength lambda of a plane wave; we show that PD leads to a periodic, spatial modulation of theta and a temporally periodic modulation of lambda; both these modulations depend on the amplitude and frequency of the PD. We then examine three types of initial conditions for both TP06 and TNNPO4 models and show that the imposition of PD leads to a rich variety of spatiotemporal patterns in the transmembrane potential including states with a single rotating spiral (RS) wave, a spiral-turbulence (ST) state with a single meandering spiral, an ST state with multiple broken spirals, and a state SA in which all spirals are absorbed at the boundaries of our simulation domain. We find, for both TP06 and TNNPO4 models, that spiral-wave dynamics depends sensitively on the amplitude and frequency of PD and the initial condition. We examine how these different types of spiral-wave states can be eliminated in the presence of PD by the application of low-amplitude pulses by square- and rectangular-mesh suppression techniques. We suggest specific experiments that can test the results of our simulations.

Item Type: Journal Article
Publication: FRONTIERS IN PHYSIOLOGY
Publisher: FRONTIERS RESEARCH FOUNDATION
Additional Information: Copy right for this article belongs to the FRONTIERS RESEARCH FOUNDATION, PO BOX 110, LAUSANNE, 1015, SWITZERLAND
Keywords: arrhythmias; fibrillation; ventricular model; wave-dynamics; spiral turbulence; periodic deformation; low-amplitude pulses
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 06 Feb 2015 15:05
Last Modified: 06 Feb 2015 15:05
URI: http://eprints.iisc.ac.in/id/eprint/50790

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