A Mathematical Model for the Morphology of the Pulmonary Acinus-Reference-Cited by-同舟云学术

A Mathematical Model for the Morphology of the Pulmonary Acinus

Published:1996-05-01 Issue:2 Volume:118 Page:210-215
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

Denny E.¹,Schroter R. C.¹

Affiliation:

1. Physiological Flow Studies Group, Centre for Biological and Medical Systems, Imperial College of Science, Technology and Medicine, Prince Consort Road, South Kensington, London SW7 2BY, England

Abstract

A computational method is proposed for the construction of a three-dimensional space-filling model of an acinar ventilatory unit. Its geometry consists of truncated octahedra arranged in a cuboidal block. The ducts and alveoli are formed by opening specific common faces between polyhedra. The branching structure is automatically computed using algorithms solely to maximise the number of alveoli and minimise the average path lengths; it is not formed with reference to published experimental data. Properties of the model such as the total alveolar and ductal volumes, the distribution of individual path lengths to the alveolar sacs, and the average number of ducts per generation are calculated. The predicted morphology of the model compares well with published data for rat lungs.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

http://asmedigitalcollection.asme.org/biomechanical/article-pdf/118/2/210/5545816/210_1.pdf

Reference14 articles.

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2. Bowes C. L. , RichardsonJ. D., CummingG., and HorsfieldK., 1985, “Effect of Breathing Pattern on a Gas Mixing Model with Asymmetrical Alveolar Ducts,” J. Appl. Physiol., Vol. 58, pp. 18–26.

3. Burri P. H. , 1984, “Fetal and Postnatal Development of the Lung,” Ann. Rev. Physiol., Vol. 46, pp. 617–628.

4. Dale P. J. , MathewsF. L., and SchroterR. C., 1980, “Finite Element Analysis of Lung Alveolus,” J. Biomech. Vol. 13, pp. 865–873.

5. Fung Y. C. , 1988, “A Model of the Lung and its Validation,” J. Appl. Physiol., Vol. 64, pp. 2132–2141.

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