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Titolo:
Arterial branching within the confines of fractal L-system formalism
Autore:
Zamir, M;
Indirizzi:
Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada Univ Western Ontario London ON Canada N6A 5B7 London, ON N6A 5B7, Canada Univ Western Ontario, Dept Med Biophys, London, ON N6A 5B7, Canada Univ Western Ontario London ON Canada N6A 5B7 London, ON N6A 5B7, Canada
Titolo Testata:
JOURNAL OF GENERAL PHYSIOLOGY
fascicolo: 3, volume: 118, anno: 2001,
pagine: 267 - 275
SICI:
0022-1295(200109)118:3<267:ABWTCO>2.0.ZU;2-K
Fonte:
ISI
Lingua:
ENG
Soggetto:
CARDIOVASCULAR-SYSTEM; BIFURCATIONS; CALIBER; LAW;
Keywords:
arterial tree; L-system; branching; self-similarity; vasculature;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Life Sciences
Citazioni:
28
Recensione:
Indirizzi per estratti:
Indirizzo: Zamir, M Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada Univ Western Ontario London ON Canada N6A 5B7 ON N6A 5B7, Canada
Citazione:
M. Zamir, "Arterial branching within the confines of fractal L-system formalism", J GEN PHYSL, 118(3), 2001, pp. 267-275

Abstract

Parametric Lindenmayer systems (L-systems) are formulated to generate branching tree structures that can incorporate the physiological laws of arterial branching. By construction, the generated trees are de facto fractal structures, and with appropriate choice of parameters, they can be made to exhibit some of the branching patterns of arterial trees, particularly those with a preponderant value of the asymmetry ratio. The question of whether arterial trees in general have these fractal characteristics is examined by comparison of pattern with vasculature from the cardiovascular system. The results suggest that parametric L-systems can be used to produce fractal tree structures but not with the variability in branching parameters observed in arterial trees. These parameters include the asymmetry ratio, the area ratio, branch diameters, and branching angles. The key issue is that the source of variability in these parameters is not known and, hence, it cannot be accurately reproduced in a model. L-systems with a random choice of parameters can be made to mimic some of the observed variability, but the legitimacy of that choice is not clear.

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Documento generato il 28/01/21 alle ore 07:53:34