Relating airway diameter distributions to regular branching asymmetry in the lung

Arnab Majumdar, Adriano M. Alencar, Sergey V. Buldyrev, Z. Hantos, Kenneth R. Lutchen, H. Eugene Stanley, Béla Suki

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We study the distribution Πn(D) of airway diameters D as a function of generation N in asymmetric airway trees of mammalian lungs. We find that the airway bifurcations are self-similar in four species studied. Specifically, the ratios of diameters of the major and minor daughters to their parent are constants independent of N until a cutoff diameter is reached. We derive closed form expressions for ΠN(D) and examine the flow resistance of the tree based on an asymmetric flow division model. Our findings suggest that the observed diameter heterogeneity is consistent with an underlying regular branching asymmetry.

Original languageEnglish
Article number168101
JournalPhysical Review Letters
Volume95
Issue number16
DOIs
Publication statusPublished - Oct 14 2005

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lungs
asymmetry
Lung
flow resistance
division
cut-off

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Medicine(all)

Cite this

Majumdar, A., Alencar, A. M., Buldyrev, S. V., Hantos, Z., Lutchen, K. R., Stanley, H. E., & Suki, B. (2005). Relating airway diameter distributions to regular branching asymmetry in the lung. Physical Review Letters, 95(16), [168101]. https://doi.org/10.1103/PhysRevLett.95.168101

Relating airway diameter distributions to regular branching asymmetry in the lung. / Majumdar, Arnab; Alencar, Adriano M.; Buldyrev, Sergey V.; Hantos, Z.; Lutchen, Kenneth R.; Stanley, H. Eugene; Suki, Béla.

In: Physical Review Letters, Vol. 95, No. 16, 168101, 14.10.2005.

Research output: Contribution to journalArticle

Majumdar, A, Alencar, AM, Buldyrev, SV, Hantos, Z, Lutchen, KR, Stanley, HE & Suki, B 2005, 'Relating airway diameter distributions to regular branching asymmetry in the lung', Physical Review Letters, vol. 95, no. 16, 168101. https://doi.org/10.1103/PhysRevLett.95.168101
Majumdar, Arnab ; Alencar, Adriano M. ; Buldyrev, Sergey V. ; Hantos, Z. ; Lutchen, Kenneth R. ; Stanley, H. Eugene ; Suki, Béla. / Relating airway diameter distributions to regular branching asymmetry in the lung. In: Physical Review Letters. 2005 ; Vol. 95, No. 16.
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