Abstract:
The air flow in the human bronchial tree is simulated in the normal and pathological cases. Analytical formulas are derived to design the full bronchial tree. All surfaces of the bronchial tree are matched with the second order of 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. A numerical technique is proposed for stage-by-stage computing of the air motion in the human bronchial tree. A laminar air flow in the human bronchial tree is computed from the input bronchus to alveoli). It is demonstrated that the pressure decrease in the case of a laminar air flow in the bronchial tree is twice smaller than that in the turbulent case. Distortions of the cylindrical shape of the bronchi in the pathological case lead to a more significant pressure decrease in the bronchial tree.
Citation:
A. E. Medvedev, V. M. Fomin, P. S. Gafurova, “Three-dimensional model of the human bronchial tree – modeling of the air flow in normal and pathological cases”, Prikl. Mekh. Tekh. Fiz., 61:1 (2020), 3–16; J. Appl. Mech. Tech. Phys., 61:1 (2020), 1–13
\Bibitem{MedFomGaf20}
\by A.~E.~Medvedev, V.~M.~Fomin, P.~S.~Gafurova
\paper Three-dimensional model of the human bronchial tree -- modeling of the air flow in normal and pathological cases
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/pmtf352}
\crossref{https://doi.org/10.15372/PMTF20200101}
\elib{https://elibrary.ru/item.asp?id=42327581}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 1
\pages 1--13
\crossref{https://doi.org/10.1134/S0021894420010010}
Linking options:
https://www.mathnet.ru/eng/pmtf352
https://www.mathnet.ru/eng/pmtf/v61/i1/p3
This publication is cited in the following 5 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
Tevfik Gemci, Valery Ponyavin, Richard Collins, Timothy E. Corcoran, Suvash C. Saha, Mohammad S. Islam, “CFD Study of Dry Pulmonary Surfactant Aerosols Deposition in Upper 17 Generations of Human Respiratory Tract”, Atmosphere, 13:5 (2022), 726
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
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
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
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