PHYSICOMATHEMATICAL MODELING OF HUMAN BREATHING IN SITUATIONS OF VARIOUS PULMONARY DISEASES

• Published in: Journal of applied mechanics and technical physics Vol. 64; no. 6; pp. 1041 - 1045
• Main Authors: Golysheva, P. S., Medvedev, A. E.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-12-2023; Springer Nature B.V
• Subjects: Air flow; Alveoli; Applications of Mathematics; Asthma; Breathing; Classical and Continuum Physics; Classical Mechanics; Fluid- and Aerodynamics; Lungs; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mechanical Engineering; Physics; Physics and Astronomy; Three dimensional analysis; Three dimensional models; Trachea; bronchial asthma; bronchial tree; bifurcation; starry cross section of the bronchus; lung injury
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S0021894423060147

Three-dimensional numerical simulations of the air flow in the full human bronchial tree in situations of obstructive and chronic pulmonary diseases are performed. Based on the previously developed three-dimensional analytical model of the lower respiratory airways, the air distributions in the lungs (from the trachea to alveoli) in situations with lung injuries and bronchial asthma are calculated. Breathing modeling is based on a numerical technique of step-by-step computations, which allows one to avoid the loss of solution accuracy caused by the difference in the bronchus scales; moreover, the time needed to calculate the air flow in the lungs can be reduced by several times by using this technique.