A generalized model of active media with a set of interacting pacemakers: Application to the heart beat analysis
| Autor: | Ekaterina Zhuchkova, Sergei Rybalko |
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| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
Basis (linear algebra)
Nonlinear Sciences - Exactly Solvable and Integrable Systems Applied Mathematics FOS: Physical sciences Sense (electronics) Construct (python library) Topology Nonlinear Sciences - Chaotic Dynamics Nonlinear Sciences - Adaptation and Self-Organizing Systems Pulse (physics) Set (abstract data type) Control theory Modeling and Simulation Phase response Chaotic Dynamics (nlin.CD) Exactly Solvable and Integrable Systems (nlin.SI) Representation (mathematics) Adaptation and Self-Organizing Systems (nlin.AO) Engineering (miscellaneous) Mathematics Phase response curve |
| Popis: | 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. 27 pages, 6 figures |
| Databáze: | OpenAIRE |
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