Mathematical Modelling Of Mucus Transport In Diseased Airways: Effect Of Constriction With Mucus And Serous Fluid Viscosities

Abstract

This paper modelled the flow of air, mucus, and serous fluid in a circular tube under a time dependent pressure gradient and mucus transport in a diseased airway (bronchial constriction). It is considered that airways are tubes and flow inside moist air, mucus, and serous fluid flow under the quasi-steady-state laminar condition caused by coughing. The analysis and approximate result show that mucus transport in a constricted airway decreases as the diameter changes and that air flow rate is affected by mucus transport as mucus and serous viscosity increase