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.
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
\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}
This publication is cited in the following 4 articles:
P. S. Golysheva, A. E. Medvedev, “Physicomathematical modeling of human breathing in situations of various pulmonary diseases”, J. Appl. Mech. Tech. Phys., 64:6 (2024), 1041–1045
Sergey V. Petoukhov, “The principle “like begets like” in algebra-matrix genetics and code biology”, Biosystems, 233 (2023), 105019
Polina S. Gafurova, Alexey E. Medvedev, NUMERICAL METHODS FOR SOLVING PROBLEMS IN THE THEORY OF ELASTICITY AND PLASTICITY (EPPS 2021), 2448, NUMERICAL METHODS FOR SOLVING PROBLEMS IN THE THEORY OF ELASTICITY AND PLASTICITY (EPPS 2021), 2021, 020006
A. E. Medvedev, P. S. Gafurova, INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2020), 2351, INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2020), 2021, 030018
Citation in format AMSBIB
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