On application of dynamical system methods in biomedical engineering

Natalia Ampilova, Vladislav Sergeev, Igor Soloviev

Research output

Abstract

The spectrum of various methods and tools used for solving bioengineering problems is sufficiently wide. Dynamical systems (including the symbolic ones) in many cases become a base for design and implementation of methods of investigation and computer modeling complex processes. Whereas for solving direct problems we have many well-developed methods, results for inverse problems are much more modest. We discuss two methods for such tasks: Takens’ method for reconstruction attractor by a time series, and the based on ideas of symbolic dynamics method for digital image analysis using stationary flow on graph and weighted entropy. The results of numerical experiments are given.
Original languageEnglish
Pages (from-to)52-56
JournalVibroengineering Procedia (VP)
Volume26
DOIs
Publication statusPublished - 26 Sep 2019

Fingerprint

Dynamical Systems Method
Biomedical Engineering
Biomedical engineering
Inverse problems
Image analysis
Time series
Dynamical systems
Entropy
Experiments
Computer Modeling
Symbolic Dynamics
Digital Image
Image Analysis
Bioengineering
Attractor
Inverse Problem
Dynamical system
Numerical Experiment
Graph in graph theory

Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

Cite this

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title = "On application of dynamical system methods in biomedical engineering",
abstract = "The spectrum of various methods and tools used for solving bioengineering problems is sufficiently wide. Dynamical systems (including the symbolic ones) in many cases become a base for design and implementation of methods of investigation and computer modeling complex processes. Whereas for solving direct problems we have many well-developed methods, results for inverse problems are much more modest. We discuss two methods for such tasks: Takens’ method for reconstruction attractor by a time series, and the based on ideas of symbolic dynamics method for digital image analysis using stationary flow on graph and weighted entropy. The results of numerical experiments are given.",
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AU - Ampilova, Natalia

AU - Sergeev, Vladislav

AU - Soloviev, Igor

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N2 - The spectrum of various methods and tools used for solving bioengineering problems is sufficiently wide. Dynamical systems (including the symbolic ones) in many cases become a base for design and implementation of methods of investigation and computer modeling complex processes. Whereas for solving direct problems we have many well-developed methods, results for inverse problems are much more modest. We discuss two methods for such tasks: Takens’ method for reconstruction attractor by a time series, and the based on ideas of symbolic dynamics method for digital image analysis using stationary flow on graph and weighted entropy. The results of numerical experiments are given.

AB - The spectrum of various methods and tools used for solving bioengineering problems is sufficiently wide. Dynamical systems (including the symbolic ones) in many cases become a base for design and implementation of methods of investigation and computer modeling complex processes. Whereas for solving direct problems we have many well-developed methods, results for inverse problems are much more modest. We discuss two methods for such tasks: Takens’ method for reconstruction attractor by a time series, and the based on ideas of symbolic dynamics method for digital image analysis using stationary flow on graph and weighted entropy. The results of numerical experiments are given.

KW - DYNAMICAL SYSTEMS

KW - inverse problems

KW - reconstruction of attractor

KW - image analysis

KW - fractal characteristics

KW - stationary flow

KW - dynamical systems

KW - inverse problems

KW - reconstruction of attractor

KW - image analysis

KW - fractal characteristics

KW - stationary flow

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