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Mathematical Modeling of Mucociliary Clearance: A Mini-Review

by 1,* and 2,*
Department of Mathematics, North Carolina A & T State University, Greensboro, NC 27411, USA
Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA
Authors to whom correspondence should be addressed.
Cells 2019, 8(7), 736;
Received: 4 June 2019 / Revised: 12 July 2019 / Accepted: 14 July 2019 / Published: 18 July 2019
(This article belongs to the Collection Cilia and Flagella: Structure, Function and Beyond)
Mucociliary clearance is an important innate host defense of the mammalian respiratory system, as it traps foreign substances, including pollutants, pathogens, and allergens, and transports them out of the airway. The underlying mechanism of the actuation and coordination of cilia, the interplay between the cilia and mucus, and the formation of the metachronal wave have been explored extensively both experimentally and mathematically. In this mini-review, we provide a survey of the mathematical models of mucociliary clearance, from the motion of one single cilium to the emergence of the metachronal wave in a group of them, from the fundamental theoretical study to the state-of-the-art three-dimensional simulations. The mechanism of cilium actuation is discussed, together with the mathematical simplification and the implications or caveats of the results. View Full-Text
Keywords: mathematical modeling; cilia; mucus; clearance mathematical modeling; cilia; mucus; clearance
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MDPI and ACS Style

Xu, L.; Jiang, Y. Mathematical Modeling of Mucociliary Clearance: A Mini-Review. Cells 2019, 8, 736.

AMA Style

Xu L, Jiang Y. Mathematical Modeling of Mucociliary Clearance: A Mini-Review. Cells. 2019; 8(7):736.

Chicago/Turabian Style

Xu, Ling, and Yi Jiang. 2019. "Mathematical Modeling of Mucociliary Clearance: A Mini-Review" Cells 8, no. 7: 736.

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