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International Journal of Bioinformatics and Computational Biology

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Chaotic Lung Airway Scaling Using Verhulst Dynamics

International Journal of Bioinformatics and Computational Biology
Vol.2 , No. 1, Publication Date: Aug. 3, 2017, Page: 1-6

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Authors

[1]	Robert Sturm, Department of Physics and Biophysics, Paris Lodron University, Salzburg, Austria.

Abstract

The contribution introduces an airway scaling procedure, which assumes (a) a fractal anatomy of the human lung and (b) a generation-related variability of bronchial morphometry in a chaotic fashion. Basic scaling of the branching system was conducted by application of an inverse power-law including the fractional dimension of the anatomic object. Simulation of intrasubject diversity of the measurements, on the other side, was realized by using a normalized and repeatedly corrected variant of the logistic equation primarily introduced by Verhulst. Two morphometric data sets were theoretically approximated with the help of the scaling procedure, thereby assuming a morphometric diversity covered by a 60%-range. In both cases, excellent prediction of experimental data was provided.

Keywords

Human Lung, Chaos Theory, Verhulst Dynamics, Morphometry, Lung Airway, Fractal Geometry

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