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 journalArticlepeer-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 languageEnglish
Pages (from-to)729-733
Number of pages5
JournalArtificial Organs
Volume19
Issue number7
DOIs
Publication statusPublished - 1995 Jul

Keywords

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

ASJC Scopus subject areas

  • Bioengineering
  • Medicine (miscellaneous)
  • Biomaterials
  • Biomedical Engineering

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