Effects of elastoviscoplastic properties of mucus on airway closure in healthy and pathological conditions

Abstract

Airway mucus is a complex material with both viscoelastic and viscoplastic properties that vary with healthy and pathological lung conditions. In this study, the effects of these conditions on airway closure are examined in a model problem, where an elastoviscoplastic (EVP) single liquid layer lines the inner wall of a rigid pipe and surrounds the air core. The EVP liquid layer is modelled using the Saramito-HB model. Model parameters are obtained for the mucus in healthy, asthma, chronic obstructive pulmonary disease (COPD) and cystic fibrosis (CF) conditions by fitting the rheological model to experimental data. Then, liquid plug formation is studied by varying the Laplace number and undisturbed liquid film thickness. According to previous studies, airway epithelial cells can be damaged by high peak of the wall stresses and stress gradients during liquid plug formation. Here, we show that these stresses are also related to the EVP features of the liquid layer. Yielded zones of the liquid layer are examined for different mucus conditions. Before closure, liquid layer is found to be unyielded, indicating that this phase is dominated by the elastic behaviour and solvent viscosity. This is further confirmed by showing that the elastic coefficient is important in determining whether closure occurs or not. Wall stresses are also investigated for pathological and healthy cases. Their peaks are higher in COPD and CF due to the viscoelastic extra stress contribution. Unlike the Newtonian case, COPD and CF wall stresses do not relax after closure but remain approximately as high as the Newtonian peak. Moreover, the local normal wall stress gradients are smaller in COPD and CF liquid layers since their higher stiffness causes smaller curvature at the capillary wave. The local tangential wall stress gradients are also lower in these cases due to slower accumulation of the liquid at the bulge.