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Matematicheskaya Biologiya i Bioinformatika, 2020, Volume 15, Issue 2, Pages 148–157
DOI: https://doi.org/10.17537/2020.15.148
(Mi mbb428)
 

This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

Method of constructing an asymmetric human bronchial tree in normal and pathological cases

A. E. Medvedevab

a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (668 kB) Citations (4)
References:
Abstract: The goal of the study is the analytical design of the full asymmetric human bronchial tree (irregular dichotomy) for healthy patients and patients with obstructive pulmonary diseases. For this purpose, the author has derived the special analytical formulas. All surfaces of the bronchial tree are matched with the secondorder smoothness (there are no acute angles or ribs). The geometric characteristics of the human bronchial tree in the pathological case are modeled by a “starry” shape of the inner structure of the bronchus; a level of the pathology is defined by two parameters: bronchus constriction level and level of distortion of the cylindrical shape of the bronchus. Closed analytical formulas allow a researcher to construct the human bronchial tree of an arbitrary complexity (up to alveoli); moreover, the parametric dependences make it possible to specify any desirable level of airway obstruction.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-540003 р_а
The study was supported by the Russian Foundation for Basic Research and by the Subject of the Russian Federation (Novosibirsk Region) within the framework of the research project No. 19-41-540003 r_a.
Received 30.05.2020, 28.08.2020, Published 22.09.2020
Document Type: Article
Language: English
Citation: A. E. Medvedev, “Method of constructing an asymmetric human bronchial tree in normal and pathological cases”, Mat. Biolog. Bioinform., 15:2 (2020), 148–157
Citation in format AMSBIB
\Bibitem{Med20}
\by A.~E.~Medvedev
\paper Method of constructing an asymmetric human bronchial tree in normal and pathological cases
\jour Mat. Biolog. Bioinform.
\yr 2020
\vol 15
\issue 2
\pages 148--157
\mathnet{http://mi.mathnet.ru/mbb428}
\crossref{https://doi.org/10.17537/2020.15.148}
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  • https://www.mathnet.ru/eng/mbb/v15/i2/p148
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    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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