V.T.Grinchenko, I.V.Vovk, V.T.Matsypura
Modeling the mechanism of the vesicular sound generation

Applied hydromechanics, Vol. 18 (90) ¹ 2, (2016) p.17-21
Current research presents a mathematical model of the mechanism of vesicular sound generation, based on the assumption of significant contribution of the alveolar walls vibration to generation of noise during the act of respiration. The walls of the alveoli are presented in the form of membranes, and we show that when the membranes are periodically tensed, the transverse oscillations of the membranes occur, causing the sound vibrations in the parenchyma. The characteristics of the composite noise signal, which is formed during the simultaneous excitation of a representative ensemble of membranes with different geometric and mechanical characteristics, are determined. Based on the analysis of the signal, its shape, spectrum and fractal properties are found to be close enough to the shape, spectrum and fractal properties of the real vesicular breath sound.
KEY WORDS:
mathematical model, alveoli, vesicular sound, membrane, fractal model of the signal, singularity spectrum, parenchyma
TEXT LANGUAGE: English