Key result
Nonlinear spatiotemporal delayed feedback successfully stabilized the unstable fixed points of a cardiac tissue model to suppress alternans, demonstrating robustness to parameter variations.
A nonlinear spatiotemporal delayed feedback approach effectively stabilizes unstable fixed points in a computational model of cardiac tissue, offering a theoretical method to suppress cardiac alternans.
Hypothesis-generating for alternans suppression in models; leaves open translation to clinical arrhythmia control.
The dynamic feedback control of the cardiac pacing interval has been widely used to suppress alternans. In this paper, temporally and spatially suppressing the alternans for cardiac tissue consisting of a one-dimensional chain of cardiac units is investigated. The model employed is a nonlinear partial difference equation. The model's fixed points and their stability conditions are determined, and bifurcations and chaos phenomenon have been studied by numerical simulations. The main objective of this paper is to stabilize the unstable fixed point of the model. The proposed approach is nonlinear spatiotemporal delayed feedback, and the appropriate interval for controller feedback gain is calculated using the linear stability analysis. It is proven that the proposed approach is robust with respect to all bifurcation parameter variations. Also, set point tracking is achieved by employing delayed feedback with an integrator. Finally, simulation results are provided to show the effectiveness of the proposed methodology.
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Boroujeni et al. (2014) studied Cardiac Arrhythmia (alternans). Nonlinear spatiotemporal delayed feedback was evaluated on Stabilization of the unstable fixed point of the model. Nonlinear spatiotemporal delayed feedback successfully stabilized the unstable fixed points of a cardiac tissue model to suppress alternans, demonstrating robustness to parameter variations.
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