Assessment of mucus transport rate in the human lung airways using mathematical model

  • Shivesh Mani Tripathee Department of Applied Animal Science, Babasaheb Bhimrao Ambedkar University Lucknow-226025, India


In this study, a planar two layer mathematical model is presented to study the mucus transport in the human lung airways under steady state condition due to cilia beating and certain immotile cilia forming porous matrix bed in serous sub-layer in contact with the epithelium and air-motion by considering mucus as a visco-elastic fluid. The effect of air-motion due to external forces and other processes is considered by prescribing shear stress at mucus air interface. It is seen that the mucus transport rate increases as the pressure drop, shear stress due to air-motion, the velocity generated by cilia tips and porosity parameter increase. It is noted that the effect of gravity is similar to that of the pressure drop. It is also observed that transport rate of mucus decreases as the viscosity of serous layer fluid or mucus increases, but any increase in mucus viscosity at its higher values does not seem to affect the mucus transport rate. It is also seen that for given total depth of serous sub-layer and mucus layer, there exists a serous fluid layer thickness for which mucus transport is maximum. It is also seen that mucus transport rate increases as its shear modulus of elasticity decreases i.e. mucus transport increases as the relaxation time increases.


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How to Cite
Tripathee, S. (2017, December 31). Assessment of mucus transport rate in the human lung airways using mathematical model. Journal of Biological Sciences and Medicine, 3(4), 17-25. Retrieved from
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