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Open AccessReview

Mathematical Modeling of Mucociliary Clearance: A Mini-Review

by 1,* and 2,*
1
Department of Mathematics, North Carolina A & T State University, Greensboro, NC 27411, USA
2
Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA
*
Authors to whom correspondence should be addressed.
Cells 2019, 8(7), 736; https://doi.org/10.3390/cells8070736
Received: 4 June 2019 / Revised: 12 July 2019 / Accepted: 14 July 2019 / Published: 18 July 2019
(This article belongs to the Special Issue 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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Xu, L.; Jiang, Y. Mathematical Modeling of Mucociliary Clearance: A Mini-Review. Cells 2019, 8, 736.

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