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Blood flow simulation through fractal models of circulatory system

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  • Gabryś, Elżbieta
  • Rybaczuk, Marek
  • Kędzia, Alicja

Abstract

The blood flow in human arteries has been analytically calculated according to Poiseuille’s equation. Geometry of the fractal arterial trees has been described in previous article [Gabryś E, Rybaczuk M, Kędzia A. Fractal model of circulatory system. Symmetrical and asymmetrical approach comparison. Chaos, Solitons & Fractals, in press]. Blood vessel trees are consisted of straight, rigid cylindrical tubes. In each bifurcation two new children segments appears according to Murray law.

Suggested Citation

  • Gabryś, Elżbieta & Rybaczuk, Marek & Kędzia, Alicja, 2006. "Blood flow simulation through fractal models of circulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 1-7.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:1:p:1-7
    DOI: 10.1016/j.chaos.2005.02.009
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    References listed on IDEAS

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    1. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
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    1. Wang, Jiang & Sun, Li & Fei, Xiangyang & Zhu, Bing, 2007. "Chaos analysis of the electrical signal time series evoked by acupuncture," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 901-907.
    2. Xinmei Luo & Shengming Liao, 2018. "Numerical Study on Melting Heat Transfer in Dendritic Heat Exchangers," Energies, MDPI, vol. 11(10), pages 1-11, September.
    3. Natenael B Semmineh & Junzhong Xu & Jerrold L Boxerman & Gary W Delaney & Paul W Cleary & John C Gore & C Chad Quarles, 2014. "An Efficient Computational Approach to Characterize DSC-MRI Signals Arising from Three-Dimensional Heterogeneous Tissue Structures," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-13, January.
    4. Tarasov, Vasily E., 2014. "Flow of fractal fluid in pipes: Non-integer dimensional space approach," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 26-37.

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