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This article is cited in 3 scientific papers (total in 3 papers)
Translations of Published Articles
Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases
A. E. Medvedevab, P. S. Gafurovaab a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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.
Received 05.09.2019, Published 26.12.2019
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
Linking options:
https://www.mathnet.ru/eng/mbb417 https://www.mathnet.ru/eng/mbb/v14/i3/p62
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