Application of coupled neural oscillators for image texture segmentation and modeling of biological rhythms

Paweł Strumiłło; Michał Strzelecki

International Journal of Applied Mathematics and Computer Science (2006)

  • Volume: 16, Issue: 4, page 513-523
  • ISSN: 1641-876X

Abstract

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The role of relaxation oscillator models in application fields such as modeling dynamic systems and image analysis is discussed. A short review of the Van der Pol, Wilson-Cowan and Terman-Wang relaxation oscillators is given. The key property of such nonlinear oscillators, i.e., the oscillator phase shift (called the Phase Response Curve) as a result of external pulse stimuli is indicated as a fundamental mechanism to achieve and sustain synchrony in networks of coupled oscillators. It is noted that networks of such oscillators resemble a variety of naturally occurring phenomena (e.g., in electrophysiology) and dynamics arising in engineering systems. Two types of oscillator networks exhibiting synchronous behaviors are discussed. The network of oscillators connected in series for modeling a cardiac conduction system is used to explain causes of important cardiac abnormal rhythms. Finally, it is shown that a 2D network of coupled oscillators is an effective tool for segmenting image textures in biomedical images.

How to cite

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Strumiłło, Paweł, and Strzelecki, Michał. "Application of coupled neural oscillators for image texture segmentation and modeling of biological rhythms." International Journal of Applied Mathematics and Computer Science 16.4 (2006): 513-523. <http://eudml.org/doc/207810>.

@article{Strumiłło2006,
abstract = {The role of relaxation oscillator models in application fields such as modeling dynamic systems and image analysis is discussed. A short review of the Van der Pol, Wilson-Cowan and Terman-Wang relaxation oscillators is given. The key property of such nonlinear oscillators, i.e., the oscillator phase shift (called the Phase Response Curve) as a result of external pulse stimuli is indicated as a fundamental mechanism to achieve and sustain synchrony in networks of coupled oscillators. It is noted that networks of such oscillators resemble a variety of naturally occurring phenomena (e.g., in electrophysiology) and dynamics arising in engineering systems. Two types of oscillator networks exhibiting synchronous behaviors are discussed. The network of oscillators connected in series for modeling a cardiac conduction system is used to explain causes of important cardiac abnormal rhythms. Finally, it is shown that a 2D network of coupled oscillators is an effective tool for segmenting image textures in biomedical images.},
author = {Strumiłło, Paweł, Strzelecki, Michał},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {cardiac pacemakers; texture segmentation; networks of synchronised oscillators; nonlinear oscillations; biological rhythms},
language = {eng},
number = {4},
pages = {513-523},
title = {Application of coupled neural oscillators for image texture segmentation and modeling of biological rhythms},
url = {http://eudml.org/doc/207810},
volume = {16},
year = {2006},
}

TY - JOUR
AU - Strumiłło, Paweł
AU - Strzelecki, Michał
TI - Application of coupled neural oscillators for image texture segmentation and modeling of biological rhythms
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 4
SP - 513
EP - 523
AB - The role of relaxation oscillator models in application fields such as modeling dynamic systems and image analysis is discussed. A short review of the Van der Pol, Wilson-Cowan and Terman-Wang relaxation oscillators is given. The key property of such nonlinear oscillators, i.e., the oscillator phase shift (called the Phase Response Curve) as a result of external pulse stimuli is indicated as a fundamental mechanism to achieve and sustain synchrony in networks of coupled oscillators. It is noted that networks of such oscillators resemble a variety of naturally occurring phenomena (e.g., in electrophysiology) and dynamics arising in engineering systems. Two types of oscillator networks exhibiting synchronous behaviors are discussed. The network of oscillators connected in series for modeling a cardiac conduction system is used to explain causes of important cardiac abnormal rhythms. Finally, it is shown that a 2D network of coupled oscillators is an effective tool for segmenting image textures in biomedical images.
LA - eng
KW - cardiac pacemakers; texture segmentation; networks of synchronised oscillators; nonlinear oscillations; biological rhythms
UR - http://eudml.org/doc/207810
ER -

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