### 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 [Formula presented] relationship of the fluid to the distribution [Formula presented] 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 [Formula presented] extracted from the experimental [Formula presented] 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 language | English |
---|---|

Number of pages | 1 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 67 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 2003 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*67*(3). https://doi.org/10.1103/PhysRevE.67.031912

**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.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 67, no. 3. https://doi.org/10.1103/PhysRevE.67.031912

}

TY - JOUR

T1 - Fluid transport in branched structures with temporary closures

T2 - A model for quasistatic lung inflation

AU - Majumdar, Arnab

AU - Alencar, Adriano M.

AU - Buldyrev, Sergey V.

AU - Hantos, Z.

AU - Stanley, H. Eugene

AU - Suki, Béla

PY - 2003/1/1

Y1 - 2003/1/1

N2 - 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 [Formula presented] relationship of the fluid to the distribution [Formula presented] 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 [Formula presented] extracted from the experimental [Formula presented] 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.

AB - 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 [Formula presented] relationship of the fluid to the distribution [Formula presented] 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 [Formula presented] extracted from the experimental [Formula presented] 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.

UR - http://www.scopus.com/inward/record.url?scp=85037187698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037187698&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.67.031912

DO - 10.1103/PhysRevE.67.031912

M3 - Article

VL - 67

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3

ER -