Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump

Tomoyuki Yambe; Taro Sonobe; Shigeru Naganuma; Shin‐ichi ‐i Kobayashi; Shunsuke Nanka; Hiroshi Akiho; Yoshito Kakinuma; Mikio Mitsuoka; Shigeki Chiba; Noboru Ohsawa; Youichi Haga; Kenji Idutsu; Shin‐ichi ‐i Nitta; Takeo Fukuju; Makoto Miura; Naoki Uchida; Naoshi Sato; Kouichi Tabayashi; Akira Tanaka; Naohiko Yoshizumi; Kenichi Abe; Misako Takayasu; Hideki Takayasu; Makoto Yoshizawa; Toshihiro Maekawa; Hiroyuki Hashimoto

doi:10.1111/j.1525-1594.1995.tb02413.x

Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump

Tomoyuki Yambe, Taro Sonobe, Shigeru Naganuma, Shin‐ichi ‐i Kobayashi, Shunsuke Nanka, Hiroshi Akiho, Yoshito Kakinuma, Mikio Mitsuoka, Shigeki Chiba, Noboru Ohsawa, Youichi Haga, Kenji Idutsu, Shin‐ichi ‐i Nitta, Takeo Fukuju, Makoto Miura, Naoki Uchida, Naoshi Sato, Kouichi Tabayashi, Akira Tanaka, Naohiko YoshizumiKenichi Abe, Misako Takayasu, Hideki Takayasu, Makoto Yoshizawa, Toshihiro Maekawa, Hiroyuki Hashimoto

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Abstract: To analyze the hemodynamic parameters during circulation with oscillated blood flow, nonlinear mathematical analyzing techniques, including fractal theory, were utilized. Vibrating flow pumps (VFP) were implanted as a left heart bypass, and the ascending aorta was clamped to constitute the total left heart circulation with oscillated blood flow in acute animal experiments using 7 adult goats. Using nonlinear mathematical analyzing techniques, reconstructed attractors of the arterial blood pressure waveform in the phase space during natural circulation and oscillated circulation were analyzed. Using the Grassberger‐Procaccia correlation dimension analyzing technique, fractal dimension analysis of the reconstructed attractor was performed. During VFP bypass, lower fractal dimensions of the reconstructed attractor were shown compared with those during natural heart circulation. The results suggest that lower dimensional chaotic dynamics contributed to the circulation with oscillated blood flow.

Original language	English
Pages (from-to)	729-733
Number of pages	5
Journal	Artificial Organs
Volume	19
Issue number	7
DOIs	https://doi.org/10.1111/j.1525-1594.1995.tb02413.x
Publication status	Published - 1995 Jul

Keywords

Chaos
Correlation dimension
Fractal
Fractal dimension
Oscillated blood flow
Vibrating flow pump

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10.1111/j.1525-1594.1995.tb02413.x

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Yambe, T., Sonobe, T., Naganuma, S., Kobayashi, S. ., Nanka, S., Akiho, H., Kakinuma, Y., Mitsuoka, M., Chiba, S., Ohsawa, N., Haga, Y., Idutsu, K., Nitta, S. ., Fukuju, T., Miura, M., Uchida, N., Sato, N., Tabayashi, K., Tanaka, A., ... Hashimoto, H. (1995). Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump. Artificial Organs, 19(7), 729-733. https://doi.org/10.1111/j.1525-1594.1995.tb02413.x

@article{56656b9205d94f7d90f937b95ca34d62,

title = "Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump",

abstract = "Abstract: To analyze the hemodynamic parameters during circulation with oscillated blood flow, nonlinear mathematical analyzing techniques, including fractal theory, were utilized. Vibrating flow pumps (VFP) were implanted as a left heart bypass, and the ascending aorta was clamped to constitute the total left heart circulation with oscillated blood flow in acute animal experiments using 7 adult goats. Using nonlinear mathematical analyzing techniques, reconstructed attractors of the arterial blood pressure waveform in the phase space during natural circulation and oscillated circulation were analyzed. Using the Grassberger‐Procaccia correlation dimension analyzing technique, fractal dimension analysis of the reconstructed attractor was performed. During VFP bypass, lower fractal dimensions of the reconstructed attractor were shown compared with those during natural heart circulation. The results suggest that lower dimensional chaotic dynamics contributed to the circulation with oscillated blood flow.",

keywords = "Chaos, Correlation dimension, Fractal, Fractal dimension, Oscillated blood flow, Vibrating flow pump",

author = "Tomoyuki Yambe and Taro Sonobe and Shigeru Naganuma and Kobayashi, {Shin‐ichi ‐i} and Shunsuke Nanka and Hiroshi Akiho and Yoshito Kakinuma and Mikio Mitsuoka and Shigeki Chiba and Noboru Ohsawa and Youichi Haga and Kenji Idutsu and Nitta, {Shin‐ichi ‐i} and Takeo Fukuju and Makoto Miura and Naoki Uchida and Naoshi Sato and Kouichi Tabayashi and Akira Tanaka and Naohiko Yoshizumi and Kenichi Abe and Misako Takayasu and Hideki Takayasu and Makoto Yoshizawa and Toshihiro Maekawa and Hiroyuki Hashimoto",

year = "1995",

month = jul,

doi = "10.1111/j.1525-1594.1995.tb02413.x",

language = "English",

volume = "19",

pages = "729--733",

journal = "Artificial Organs",

issn = "0160-564X",

publisher = "Wiley-Blackwell Publishing Ltd",

number = "7",

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Yambe, T, Sonobe, T, Naganuma, S, Kobayashi, S, Nanka, S, Akiho, H, Kakinuma, Y, Mitsuoka, M, Chiba, S, Ohsawa, N, Haga, Y, Idutsu, K, Nitta, S, Fukuju, T, Miura, M, Uchida, N, Sato, N, Tabayashi, K, Tanaka, A, Yoshizumi, N, Abe, K, Takayasu, M, Takayasu, H, Yoshizawa, M, Maekawa, T & Hashimoto, H 1995, 'Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump', Artificial Organs, vol. 19, no. 7, pp. 729-733. https://doi.org/10.1111/j.1525-1594.1995.tb02413.x

TY - JOUR

T1 - Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump

AU - Yambe, Tomoyuki

AU - Sonobe, Taro

AU - Naganuma, Shigeru

AU - Kobayashi, Shin‐ichi ‐i

AU - Nanka, Shunsuke

AU - Akiho, Hiroshi

AU - Kakinuma, Yoshito

AU - Mitsuoka, Mikio

AU - Chiba, Shigeki

AU - Ohsawa, Noboru

AU - Haga, Youichi

AU - Idutsu, Kenji

AU - Nitta, Shin‐ichi ‐i

AU - Fukuju, Takeo

AU - Miura, Makoto

AU - Uchida, Naoki

AU - Sato, Naoshi

AU - Tabayashi, Kouichi

AU - Tanaka, Akira

AU - Yoshizumi, Naohiko

AU - Abe, Kenichi

AU - Takayasu, Misako

AU - Takayasu, Hideki

AU - Yoshizawa, Makoto

AU - Maekawa, Toshihiro

AU - Hashimoto, Hiroyuki

PY - 1995/7

Y1 - 1995/7

N2 - Abstract: To analyze the hemodynamic parameters during circulation with oscillated blood flow, nonlinear mathematical analyzing techniques, including fractal theory, were utilized. Vibrating flow pumps (VFP) were implanted as a left heart bypass, and the ascending aorta was clamped to constitute the total left heart circulation with oscillated blood flow in acute animal experiments using 7 adult goats. Using nonlinear mathematical analyzing techniques, reconstructed attractors of the arterial blood pressure waveform in the phase space during natural circulation and oscillated circulation were analyzed. Using the Grassberger‐Procaccia correlation dimension analyzing technique, fractal dimension analysis of the reconstructed attractor was performed. During VFP bypass, lower fractal dimensions of the reconstructed attractor were shown compared with those during natural heart circulation. The results suggest that lower dimensional chaotic dynamics contributed to the circulation with oscillated blood flow.

AB - Abstract: To analyze the hemodynamic parameters during circulation with oscillated blood flow, nonlinear mathematical analyzing techniques, including fractal theory, were utilized. Vibrating flow pumps (VFP) were implanted as a left heart bypass, and the ascending aorta was clamped to constitute the total left heart circulation with oscillated blood flow in acute animal experiments using 7 adult goats. Using nonlinear mathematical analyzing techniques, reconstructed attractors of the arterial blood pressure waveform in the phase space during natural circulation and oscillated circulation were analyzed. Using the Grassberger‐Procaccia correlation dimension analyzing technique, fractal dimension analysis of the reconstructed attractor was performed. During VFP bypass, lower fractal dimensions of the reconstructed attractor were shown compared with those during natural heart circulation. The results suggest that lower dimensional chaotic dynamics contributed to the circulation with oscillated blood flow.

KW - Chaos

KW - Correlation dimension

KW - Fractal

KW - Fractal dimension

KW - Oscillated blood flow

KW - Vibrating flow pump

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UR - http://www.scopus.com/inward/citedby.url?scp=0029120742&partnerID=8YFLogxK

U2 - 10.1111/j.1525-1594.1995.tb02413.x

DO - 10.1111/j.1525-1594.1995.tb02413.x

M3 - Article

C2 - 8572984

AN - SCOPUS:0029120742

SN - 0160-564X

VL - 19

SP - 729

EP - 733

JO - Artificial Organs

JF - Artificial Organs

IS - 7

ER -

Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump

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Keywords

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