Key result
Periodic deformation in mathematical models of human ventricular tissue leads to spatial modulation of conduction velocity and temporal modulation of wavelength, resulting in diverse spatiotemporal patterns.
Computational modeling demonstrates that periodic deformation profoundly alters ventricular spiral-wave dynamics, suggesting mechanical factors play a complex role in arrhythmogenesis that can potentially be managed with targeted low-amplitude pacing meshes.
Mechanical deformation may influence ventricular arrhythmogenesis; modeling leaves open targeted pacing validation before any clinical consideration.
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 TNNP04 model). We first consider simulations in cable-type domains, in which we calculate the conduction velocity θ and the wavelength λ of a plane wave; we show that PD leads to a periodic, spatial modulation of θ and a temporally periodic modulation of λ; both these modulations depend on the amplitude and frequency of the PD. We then examine three types of initial conditions for both TP06 and TNNP04 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 TNNP04 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.
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Nayak et al. (2014) studied Ventricular fibrillation and arrhythmias (Mathematical models). Periodic deformation vs. No periodic deformation was evaluated on Spiral-wave dynamics (conduction velocity, wavelength, spatiotemporal patterns). Periodic deformation in mathematical models of human ventricular tissue leads to spatial modulation of conduction velocity and temporal modulation of wavelength, resulting in diverse spatiotemporal patterns.
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