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Your search keyword '"Rubin R. Aliev"' showing total 3 results
Start Over Author "Rubin R. Aliev" Journal chaos, solitons & fractals
3 results on '"Rubin R. Aliev"'

1. A simple two-variable model of cardiac excitation

Author

Alexander V. Panfilov and Rubin R. Aliev

Subjects
Excitable medium, General Mathematics, Applied Mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Mechanics, Pulse propagation, Pulse (physics), Control theory, Simple (abstract algebra), FitzHugh–Nagumo model, Monodomain model, Excitation, Mathematics, Variable (mathematics)
Abstract

We modified the FitzHugh-Nagumo model of an excitable medium so that it describes adequately the dymanics of pulse propagation in the canine myocardium. The modified model is simple enough to be used for intensive 3-dimensional (3D) computations of the whole heart. It simulates the pulse shape and the restitution property of the canine myocardium with good precision.

Published
1996
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2. Phase breaks and chaos in a chain of diffusively coupled oscillators

Author

Rubin R. Aliev and Bakhtyar N. Vasiev

Subjects
Physics, Chaos (genus), Classical mechanics, biology, Control theory, General Mathematics, Applied Mathematics, System parameters, Dynamics (mechanics), Phase (waves), General Physics and Astronomy, Statistical and Nonlinear Physics, biology.organism_classification
Abstract

The dynamics of phase disturbances in the 1D uniform medium described by FitzHugh-Nagumo equations was studied. It was found that the system synchronizes its oscillations if the initial disturbances are small. Large disturbances resulted in the appearance of phase breaks. Dependent on the system parameters, phase breaks were found to be either stable or unstable; stable breaks led to target pattern-like sources, unstable to extended chaos.

Published
1995
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3. Heart tissue simulations by means of chemical excitable media

Author

Rubin R. Aliev

Subjects
Physics, Belousov–Zhabotinsky reaction, Experimental model, Quantitative Biology::Tissues and Organs, General Mathematics, Applied Mathematics, Physics::Medical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics, Mechanics, Pulse propagation, Dimensionless quantity
Abstract

A set of dimensionless parameters describing pulse propagation in the heart, BZ reaction and FHN model is estimated for comparison of the systems. The ranges of the parameters measured allow the BZ reaction to be considered as a rough experimental model of excitable heart tissue. Vulnerability in the BZ reaction is used as an analogue for vulnerability in cardiac tissue.

Published
1995
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