On application of dynamical system methods in biomedical engineering

Standard

On application of dynamical system methods in biomedical engineering. / Ampilova, Natalia ; Sergeev, Vladislav ; Soloviev, Igor .

In: Vibroengineering Procedia (VP), Vol. 26, 01.09.2019, p. 52-56.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{0b323eee1c6e4cdb9dbc38fe7adf34ba,

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{\textquoteright} 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.",

keywords = "DYNAMICAL SYSTEMS, inverse problems, reconstruction of attractor, image analysis, fractal characteristics, stationary flow, dynamical systems, inverse problems, reconstruction of attractor, image analysis, fractal characteristics, stationary flow, Image analysis, Inverse problems, Reconstruction of attractor, Stationary flow, Fractal characteristics, Dynamical systems",

author = "Natalia Ampilova and Vladislav Sergeev and Igor Soloviev",

year = "2019",

month = sep,

day = "1",

doi = "10.21595/vp.2019.20972",

language = "English",

volume = "26",

pages = "52--56",

journal = "Vibroengineering Procedia",

issn = "2345-0533",

publisher = "Kaunas JVE International",

note = "40th International JVE Conference on Dynamics of Biological Systems, JVE ; Conference date: 26-09-2019 Through 28-09-2019",

url = "https://www.jveconferences.com/conference/kaunas-2019",

}

RIS

TY - JOUR

T1 - On application of dynamical system methods in biomedical engineering

AU - Ampilova, Natalia

AU - Sergeev, Vladislav

AU - Soloviev, Igor

N1 - Conference code: 40

PY - 2019/9/1

Y1 - 2019/9/1

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

KW - Image analysis

KW - Inverse problems

KW - Reconstruction of attractor

KW - Stationary flow

KW - Fractal characteristics

KW - Dynamical systems

UR - http://www.scopus.com/inward/record.url?scp=85074062128&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/application-dynamical-system-methods-biomedical-engineering

U2 - 10.21595/vp.2019.20972

DO - 10.21595/vp.2019.20972

M3 - Conference article

VL - 26

SP - 52

EP - 56

JO - Vibroengineering Procedia

JF - Vibroengineering Procedia

SN - 2345-0533

T2 - 40th International JVE Conference on Dynamics of Biological Systems

Y2 - 26 September 2019 through 28 September 2019

ER -

ID: 47797496