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Fractional order model parameters for the respiratory input impedance in healthy and in asthmatic children
Clara Ionescu1, Kristine Desager, Robin De Keyser
1Department of Electrical energy, Systems and Automation, Ghent University, Technologiepark 913, Gent, Belgium. ClaraMihaela.Ionescu@UGent.be
Insights
A fractional order model effectively differentiated healthy and asthmatic children using respiratory impedance data. New parameters, like quality and power factors, showed significant differences, aiding group characterization.
Area of Science:
- Respiratory physiology
- Biomedical engineering
- Mathematical modeling
Background:
- Respiratory input impedance is crucial for assessing lung function.
- Fractional order models offer a sophisticated approach to analyzing complex physiological systems.
- Distinguishing between healthy and asthmatic children requires sensitive diagnostic tools.
Purpose of the Study:
- To evaluate a fractional order model for respiratory input impedance in children.
- To determine if the model can statistically differentiate between healthy and asthmatic children.
- To introduce and assess novel parameters for improved group classification.
Main Methods:
- Utilized a fractional order model applied to respiratory input impedance data.
- Collected data from healthy and asthmatic children using the forced oscillations technique (4-48Hz).
- Introduced combined model parameters (tissue damping, elastance) and new indexes (quality, power factors).
Main Results:
- The model identified significant differences in tissue damping and elastance between groups (p<0.01).
- Newly introduced quality and power factors also showed significant differentiation (p≪0.01).
- The model struggled to distinguish asthmatic children on medication from healthy controls due to blunted responses.
Conclusions:
- The fractional order model, with enhanced parameters, efficiently characterizes respiratory differences in children within the 4-48Hz range.
- Tissue damping, elastance, quality factor, and power factor are valuable metrics for distinguishing respiratory conditions.
- Further research may be needed to refine the model for asthmatic children whose symptoms are masked by medication.
Abstract:
This paper provides an evaluation of a fractional order model for the respiratory input impedance, using two groups of subjects, respectively healthy and asthmatic children. The purpose is to verify if the model is able to deliver statistically meaningful parameter values in order to classify the two groups. The data are gathered with the non-invasive lung function test of forced oscillations technique, by means of a multisine signal within the 4-48Hz frequency range. Based on our previous work, a fractional order model for this range of frequencies is obtained. Additional parameters are proposed to evaluate the two groups. The results indicate that the model was unable to detect significant changes between the asthmatic children with normal spirometry results (as result of medication) and the healthy children. Due to medication intake during the hours prior to the exam, bronchial challenge did not modify substantially the respiratory parameters. Our findings correspond to similar studies reported in the specialized literature. Combined model parameters, such as the tissue damping and the tissue elastance were significantly different in the two groups (p<0.01). Two extra indexes are introduced: the quality factor and the power factor, providing significantly different results between the two groups (p≪0.01). We conclude that the model can be used in the respective frequency range to characterize the two groups efficiently.
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