On application of dynamical system methods in biomedical engineering

Natalia Ampilova, Vladislav Sergeev, Igor Soloviev

Результат исследований: Научные публикации в периодических изданияхстатья

Аннотация

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.
Язык оригиналаанглийский
Страницы (с-по)52-56
ЖурналVibroengineering Procedia (VP)
Том26
DOI
СостояниеОпубликовано - 26 сен 2019

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Предметные области Scopus

  • Компьютерные науки (все)
  • Математика (все)

Ключевые слова

  • DYNAMICAL SYSTEMS
  • inverse problems
  • reconstruction of attractor
  • image analysis
  • fractal characteristics
  • stationary flow

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