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