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Intrinsic Fractal Dynamics in the Respiratory System by Means of Pressure–Volume Loops

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Abstract

This contribution presents novel concepts for analysis of pressure–volume curves, which offer information about the time domain dynamics of the respiratory system. The aim is to verify whether a mapping of the respiratory diseases can be obtained, allowing analysis of (dis)similarities between the dynamical pattern in the breathing in children. The groups investigated here are children, diagnosed as healthy, asthmatic, and cystic fibrosis. The pressure–volume curves have been measured by means of the noninvasive forced oscillation technique during breathing at rest. The geometrical fractal dimension is extracted from the pressure–volume curves and a power-law behavior is observed in the data. The power-law model coefficients are identified from the three sets and the results show that significant differences are present between the groups. This conclusion supports the idea that the respiratory system changes with disease in terms of airway geometry, tissue parameters, leading in turn to variations in the fractal dimension of the respiratory tree and its dynamics.

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Acknowledgements

C. Ionescu gratefully acknowledges the children from primary school in Zwijnaarde who volunteered to perform lung function testing in our laboratory. We also acknowledge the technical assistance provided at University Hospital Antwerp, Belgium, to measure asthma and CF diagnosed children. J. Tenreiro Machado would like to acknowledge FCT, FEDER, POCTI, POSI, POCI, POSC, POTDC, and COMPETE for their support to R&D Projects and GECAD Unit.

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Correspondence to Clara M. Ionescu .

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Ionescu, C.M., Machado, J.T. (2011). Intrinsic Fractal Dynamics in the Respiratory System by Means of Pressure–Volume Loops. In: Nonlinear and Complex Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0231-2_18

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  • DOI: https://doi.org/10.1007/978-1-4614-0231-2_18

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0230-5

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