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Article

Estimation of Mucus Clearance in Pulmonary Airways by Means of a Regression Model

by
Shahriar Shamil Uulu
1,
Halil Rıdvan Öz
1,*,
Ferhat Karaca
2 and
Cahit A. Evrensel
3
1
Department of Genetics and Bioengineering, Fatih University, 34500 B. Çekmece, Istanbul, Turkey
2
Department of Civil Engineering, Fatih University, 34500 B. Çekmece, Istanbul, Turkey
3
Department of Mechanical Engineering, University of Nevada Reno, Reno, NV, USA
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2014, 19(2), 144-151; https://doi.org/10.3390/mca19020144
Published: 1 August 2014

Abstract

In this study, a multivariate regression analysis was performed on a dataset obtained from experimental tracheal model for mucus clearance in pulmonary airways. Several simulations have been done to verify the validity of the generated regression model. In general, the clearance of mucus in the airways is achieved by the beating action of cilia inside the serous layer which is the primary means of removing inhaled particulates and airway debris from airways in healthy people. In this study, two types of mucus simulants are used in the experimental setup. Clearance distances of a teardrop shape simulant are measured for different velocities, slope angles and surfaces properties. On the obtained data by applying several genuine transformations we developed a multiple regression model that is able to predict clearance up to 86% accuracy. Simulations revealed several important data like direct relation between velocity and clearance and indirect relation between angle and clearance.
Keywords: mucus simulant; tracheal model; multivariate regression analysis; linear model; simulation mucus simulant; tracheal model; multivariate regression analysis; linear model; simulation

Share and Cite

MDPI and ACS Style

Uulu, S.S.; Öz, H.R.; Karaca, F.; Evrensel, C.A. Estimation of Mucus Clearance in Pulmonary Airways by Means of a Regression Model. Math. Comput. Appl. 2014, 19, 144-151. https://doi.org/10.3390/mca19020144

AMA Style

Uulu SS, Öz HR, Karaca F, Evrensel CA. Estimation of Mucus Clearance in Pulmonary Airways by Means of a Regression Model. Mathematical and Computational Applications. 2014; 19(2):144-151. https://doi.org/10.3390/mca19020144

Chicago/Turabian Style

Uulu, Shahriar Shamil, Halil Rıdvan Öz, Ferhat Karaca, and Cahit A. Evrensel. 2014. "Estimation of Mucus Clearance in Pulmonary Airways by Means of a Regression Model" Mathematical and Computational Applications 19, no. 2: 144-151. https://doi.org/10.3390/mca19020144

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