The Poroviscoelastic Model of the Lungs Under Low-Frequency Predicted by Biot's Theory

Authors

  • Arife Uzundurukan Centre de Recherche acoustique-signal-humain, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, CA. https://orcid.org/0000-0003-1104-1644
  • Sébastien Poncet Centre de Recherche acoustique-signal-humain, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, CA.
  • Daria Camilla Boffito Department of Chemical Engineering, Polytechnic Montréal, QC, H3C 3A7, CA. https://orcid.org/0000-0002-5252-5752
  • Philippe Micheau Centre de Recherche acoustique-signal-humain, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, CA. https://orcid.org/0000-0002-6231-3948

Keywords:

Biot's poroelasticity equations, Acoustic behavior, Lung structures, Acoustic propagation

Abstract

Biot's theory of poroelastic wave propagation inherently lends itself to elucidate the characteristics of a biphasic medium comprising solid and fluid components, such as biological tissues. One of the intricately complex biological tissues that remains poorly understood is the lungs since their properties diversify significantly through their pore geometries affected by airway pressure and applied frequency range. One hypothesizes that the vibroacoustic behaviour of the lungs can be predicted by Biot's theory, as the nature of the lungs aligns with the principles of the theory at low frequencies. This study aims to analytically investigate the vibroacoustic behaviour of the lungs, considering 10 and 20-cm H2O airway pressure. Utilizing a fractional derivative formulation, one predicts the complex-valued shear wave speed, as well as the fast and slow compression wave speeds, for frequencies ranging from 5 to 100 Hz. A 3D digital thorax twin study using these predicted wave speeds, particularly at 28 Hz and 20 cm H2O airway pressure, is validated against experimental data from the literature. Consequently, applying Biot's theory provides a valuable framework for understanding the dynamic vibroacoustic behaviour of the lung tissues in response to varying airway pressure and low frequencies.

Published

2024-05-12

How to Cite

1.
Uzundurukan A, Poncet S, Boffito DC, Micheau P. The Poroviscoelastic Model of the Lungs Under Low-Frequency Predicted by Biot’s Theory. Canadian Acoustics [Internet]. 2024 May 12 [cited 2024 May 21];52(1). Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/4201