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Fractal Dimension Analysis of the Oscillated Blood Flow with a Vibrating Flow Pump
Author(s) -
Yambe Tomoyuki,
Sonobe Taro,
Naganuma Shigeru,
Kobayashi Shinichi,
Nanka Shunsuke,
Akiho Hiroshi,
Kakinuma Yoshito,
Mitsuoka Mikio,
Chiba Shigeki,
Ohsawa Noboru,
Haga Youichi,
Idutsu Kenji,
Nitta Shinichi,
Fukuju Takeo,
Miura Makoto,
Uchida Naoki,
Sato Naoshi,
Tabayashi Kouichi,
Tanaka Akira,
Yoshizumi Naohiko,
Abe Kenichi,
Takayasu Misako,
Takayasu Hideki,
Yoshizawa Makoto,
Maekawa Toshihiro,
Hashimoto Hiroyuki
Publication year - 1995
Publication title -
artificial organs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.684
H-Index - 76
eISSN - 1525-1594
pISSN - 0160-564X
DOI - 10.1111/j.1525-1594.1995.tb02413.x
Subject(s) - attractor , fractal dimension , blood flow , fractal , circulation (fluid dynamics) , natural circulation , flow (mathematics) , mathematics , hemodynamics , correlation dimension , mechanics , mathematical analysis , physics , cardiology , medicine
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.