The multifractal structure of arterial trees

J. Grasman, J.W. Brascamp, J.L. van Leeuwen, B. van Putten

Research output: Contribution to journalArticleAcademicpeer-review

16 Citations (Scopus)

Abstract

Fractal properties of arterial trees are analysed using the cascade model of turbulence theory. It is shown that the branching process leads to a non-uniform structure at the micro-level meaning that blood supply to the tissue varies in space. From the model it is concluded that, depending on the branching parameter, vessels of a specific size contribute dominantly to the blood supply of tissue. The corresponding tissue elements form a dense set in the tissue. Furthermore, if blood flow in vessels can get obstructed with some probability, the above set of tissue elements may not be dense anymore. Then there is the risk that, spread out over the tissue, nutrient and gas exchange fall short.
Original languageEnglish
Pages (from-to)75-82
JournalJournal of Theoretical Biology
Volume220
Issue number1
DOIs
Publication statusPublished - 2003

Fingerprint

Vessel
Blood
Tissue
Gas Exchange
Branching process
Blood Flow
Nutrients
Cascade
Branching
Turbulence
Fractal
Vary
branching
Model
Fractals
Cascades (fluid mechanics)
blood
blood flow
gas exchange
tissues

Keywords

  • turbulence
  • networks
  • biology

Cite this

Grasman, J. ; Brascamp, J.W. ; van Leeuwen, J.L. ; van Putten, B. / The multifractal structure of arterial trees. In: Journal of Theoretical Biology. 2003 ; Vol. 220, No. 1. pp. 75-82.
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The multifractal structure of arterial trees. / Grasman, J.; Brascamp, J.W.; van Leeuwen, J.L.; van Putten, B.

In: Journal of Theoretical Biology, Vol. 220, No. 1, 2003, p. 75-82.

Research output: Contribution to journalArticleAcademicpeer-review

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