Abstract:
The study is aimed at the analytical design of the full human bronchial tree for healthy patients and patients with obstructive pulmonary diseases. Analytical formulas for design of the full bronchial tree are derived. All surfaces of the bronchial tree are matched with the second-order 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; the pathology degree is defined by two parameters: bronchus constriction level and degree of distortion of the cylindrical shape of the bronchus. Closed analytical formulas allow the human bronchial tree of an arbitrary complexity (up to alveoli) to be designed; moreover, the parametric dependences make it possible to specify any desirable degree of airway obstruction.
Key words:
bronchial tree, simulation, human lungs, respiratory system, bifurcation.
The study was supported by the Russian Foundation for Basic Research and the Subject of the Russian Federation (Novosibirsk Region) within the framework of the research project No. 19-41-540003 r_a.
Received 05.09.2019, Published 26.12.2019
Document Type:
Article
UDC:
533.612.2
Language: Russian
Citation:
A. E. Medvedev, P. S. Gafurova, “Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases”, Mat. Biolog. Bioinform., 14, Suppl. (2019), t62–t75
\Bibitem{MedGaf19}
\by A.~E.~Medvedev, P.~S.~Gafurova
\paper Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases
\jour Mat. Biolog. Bioinform.
\yr 2019
\vol 14
\pages t62--t75
\issueinfo Suppl.
\mathnet{http://mi.mathnet.ru/mbb417}
\crossref{https://doi.org/10.17537/2019.14.t62}
This publication is cited in the following 3 articles:
A. E. Medvedev, “Construction of complex three-dimensional structures of the aorta of a particular patient using finite analytical formulas”, Mat. Biolog. Bioinform., 17:2 (2022), 312–324
A. E. Medvedev, P. S. Golysheva, “Simulation of air motion in human lungs during breathing. Dynamics of liquid droplet precipitation in the case of medicine drug aerosols”, Mat. Biolog. Bioinform., 16:2 (2021), 422–438
A. E. Medvedev, “Metodika postroeniya nesimmetrichnogo bronkhialnogo dereva cheloveka v norme i pri patologii”, Matem. biologiya i bioinform., 15, Suppl. (2020), 21–31
Citation in format AMSBIB
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