Publicou 6 edições por ano
ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110
Indexed in
Sound Propagation in Human Bronchial Tree. Part I. Theory
RESUMO
Analysis of geometric, physical and wave parameters of a bronchial tree and its elements has been conducted. It is shown that in frequency range up to 1000 Hz all geometric parameters of airways (except the length of trachea) are sufficiently smaller than the wavelength of the sound, which propagates inside a bronchial tree. It is established that jump of a section in the point of articulation of adjacent airways can significantly affect the sound propagation in a bronchial tree. At the same time, bifurcation of the airways has almost no impact on this process. Acoustical and mathematical models of the airways (taking into account compliance of their walls) and of parts of articulation between them are stated. Corresponding boundary problems for the Helmholtz equation are solved. Obtained results allowed us to develop an algorithm for general solving for the problem of wave propagation in the bronchial tree.