Fluid transport in branched structures with temporary closures: a model for quasistatic lung inflation

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

Research output: Contribution to journalArticle

Abstract

We analyze the problem of fluid transport through a model system relevant to the inflation of a mammalian lung, an asymmetric bifurcating structure containing random blockages that can be removed by the pressure of the fluid itself. We obtain a comprehensive description of the fluid flow in terms of the topology of the structure and the mechanisms which open the blockages. We show that when calculating averaged flow properties of the fluid, the tree structure can be partitioned into a linear superposition of one-dimensional chains. In particular, we relate the pressure-volume P-V relationship of the fluid to the distribution Pi(n) of the generation number n of the tree's terminal branches, a structural property. We invert this relation to obtain a statistical description of the underlying branching structure of the lung, by analyzing experimental pressure-volume data from dog lungs. The Pi(n) extracted from the experimental P-V data agrees well with available data on lung branching structure. Our general results are applicable to any physical system involving transport in bifurcating structures with removable closures.

Original languageEnglish
Pages (from-to)31912
Number of pages1
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number3
Publication statusPublished - Mar 1 2003

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Economic Inflation
Lung
Inflation
lungs
closures
Closure
Fluid
fluids
Pi
Pressure
Branching
Random Structure
dogs
Invert
Tree Structure
Model
Structural Properties
fluid flow
Superposition
Fluid Flow

ASJC Scopus subject areas

  • Medicine(all)

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Fluid transport in branched structures with temporary closures : a model for quasistatic lung inflation. / Majumdar, Arnab; Alencar, Adriano M.; Buldyrev, Sergey V.; Hantos, Z.; Stanley, H. Eugene; Suki, Béla.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 67, No. 3, 01.03.2003, p. 31912.

Research output: Contribution to journalArticle

Majumdar, Arnab ; Alencar, Adriano M. ; Buldyrev, Sergey V. ; Hantos, Z. ; Stanley, H. Eugene ; Suki, Béla. / Fluid transport in branched structures with temporary closures : a model for quasistatic lung inflation. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2003 ; Vol. 67, No. 3. pp. 31912.
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