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A new index for characterizing micro-bead motion in a flow induced by ciliary beating: Part II, modeling.
Eq. 13, Institut Mondor de Recherche Biomédicale, Inserm U955, Créteil, France.
Zeiss Global Centre, School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, PO1 3DJ, UK.ORCID iD: 0000-0002-3534-8838
Eq. 13, Institut Mondor de Recherche Biomédicale, Inserm U955, Créteil, France.
Eq. 13, Institut Mondor de Recherche Biomédicale, Inserm U955, Créteil, France.
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2017 (English)In: PloS Computational Biology, ISSN 1553-734X, E-ISSN 1553-7358, Vol. 13, no 7, article id e1005552Article in journal (Refereed) Published
Abstract [en]

Mucociliary clearance is one of the major lines of defense of the human respiratory system. The mucus layer coating the airways is constantly moved along and out of the lung by the activity of motile cilia, expelling at the same time particles trapped in it. The efficiency of the cilia motion can experimentally be assessed by measuring the velocity of micro-beads traveling through the fluid surrounding the cilia. Here we present a mathematical model of the fluid flow and of the micro-beads motion. The coordinated movement of the ciliated edge is represented as a continuous envelope imposing a periodic moving velocity boundary condition on the surrounding fluid. Vanishing velocity and vanishing shear stress boundary conditions are applied to the fluid at a finite distance above the ciliated edge. The flow field is expanded in powers of the amplitude of the individual cilium movement. It is found that the continuous component of the horizontal velocity at the ciliated edge generates a 2D fluid velocity field with a parabolic profile in the vertical direction, in agreement with the experimental measurements. Conversely, we show than this model can be used to extract microscopic properties of the cilia motion by extrapolating the micro-bead velocity measurement at the ciliated edge. Finally, we derive from these measurements a scalar index providing a direct assessment of the cilia beating efficiency. This index can easily be measured in patients without any modification of the current clinical procedures.

Place, publisher, year, edition, pages
2017. Vol. 13, no 7, article id e1005552
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Biomedical Laboratory Science/Technology
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URN: urn:nbn:se:kth:diva-269002DOI: 10.1371/journal.pcbi.1005552ISI: 000406619800008PubMedID: 28708866Scopus ID: 2-s2.0-85026639285OAI: oai:DiVA.org:kth-269002DiVA, id: diva2:1403049
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QC 20200610

Available from: 2020-02-28 Created: 2020-02-28 Last updated: 2024-01-24Bibliographically approved

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Peña Fernández, Marta

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