### 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 language | English |
---|---|

Pages (from-to) | 31912 |

Number of pages | 1 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 67 |

Issue number | 3 |

Publication status | Published - Mar 1 2003 |

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### ASJC Scopus subject areas

- Medicine(all)

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*67*(3), 31912.

**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, Nonlinear, and Soft Matter Physics*, vol. 67, no. 3, pp. 31912.

}

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 - 2003/3/1

Y1 - 2003/3/1

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 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.

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 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.

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M3 - Article

C2 - 12689106

VL - 67

SP - 31912

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3

ER -