Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 75-82 |
| Journal | Journal of Theoretical Biology |
| Volume | 220 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2003 |
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Keywords
- turbulence
- networks
- biology
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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 journal › Article › Academic › peer-review
TY - JOUR
T1 - The multifractal structure of arterial trees
AU - Grasman, J.
AU - Brascamp, J.W.
AU - van Leeuwen, J.L.
AU - van Putten, B.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
KW - turbulence
KW - networks
KW - biology
U2 - 10.1006/jtbi.2003.3151
DO - 10.1006/jtbi.2003.3151
M3 - Article
VL - 220
SP - 75
EP - 82
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 1
ER -