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Fractal models of circulatory system. Symmetrical and asymmetrical approach comparison

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

Abstract

Symmetrical and asymmetrical tree—like structures of arterial systems have been the central point of experimental and theoretical investigation. Blood vessel models have been generated according to morphology and structural properties, such as segment radii and lengths, branching angle and their relation to segment diameter. Tree generation is performed by successively adding segments, straight cylindrical tubes, so that certain structural and geometrical constraints are fulfilled at each stage of construction.

Suggested Citation

  • Gabryś, Elżbieta & Rybaczuk, Marek & Kędzia, Alicja, 2005. "Fractal models of circulatory system. Symmetrical and asymmetrical approach comparison," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 707-715.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:3:p:707-715
    DOI: 10.1016/j.chaos.2004.09.087
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    Cited by:

    1. 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.
    2. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.

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