arXiv subjects

Ekaterina Zhuchkova

Publications and source records attributed to Ekaterina Zhuchkova.

3 recordsLinked to original sources

arXiv2006

Suppression of Complex Spiral--Wave Activity in an Ionic Model of Cardiac Tissue by Weak Local Stimulations

On the basis of a quite realistic ionic Fenton--Karma model of the cardiac tissue we consider the problem of defibrillation by a local weak forcing. In contrast to other systems, this model accurately reproduces the most essential mesoscopic properties of the cardiac activity. It is shown that suppression of spiral--wave turbulent dynamics in the heart tissue may be realized by a low-voltage local non-feedback electrical stimulation of monophasic and biphasic shapes. After stabilization the medium goes to a spatially homogeneous steady state.

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arXiv2006

A generalized model of active media with a set of interacting pacemakers: Application to the heart beat analysis

We propose a quite general model of active media by consideration of the interaction between pacemakers via their phase response curves. This model describes a network of pulse oscillators coupled by their response to the internal depolarization of mutual stimulations. First, a macroscopic level corresponding to an arbitrary large number of oscillatory elements coupled globally is considered. As a specific and important case of the proposed model, the bidirectional interaction of two cardiac nodes is described. This case is generalized by means of an additional pacemaker, which can be expounded as an external stimulater. The behavior of such a system is analyzed. Second, the microscopic level corresponding to the representation of cardiac nodes by one-- and two--dimensional lattices of pulse oscillators coupled via the nearest neighbors is described. The model is a universal one in the sense that on its basis one can easily construct discrete distributed media of active elements, which interact via phase response curves.

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arXiv2002

A model of cardiac tissue as a conductive system with interacting pacemakers and refractory time

A model of the heart tissue as a conductive system with two interacting pacemakers and a refractory time, is proposed. In the parametric space of the model the phase locking areas are investigated in detail. Obtained results allow us to predict the behaviour of excitable systems with two pacemakers depending on the type and intensity of their interaction and the initial phase. Comparison of the described phenomena with intrinsic pathologies of cardiac rhythms is presented.

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