Evaluation of respiratory properties by means of fractional order models

Abstract The goal of this paper is to model and analyze the properties of the respiratory system by means of fractional calculus. A linear fractional order system of commensurate order is obtained using the real and the imaginary parts of the measured respiratory impedance through an identification technique. In this context, the features used for the classification of some respiratory diseases are the identified parameters of the linear fractional order system of commensurate order. These features are then classified using the K-Nearest Neighbors (KNN) classifier. The proposed method has achieved an accuracy of 40% using only the first feature, however by using all the features the accuracy has increased up to 100%. The proposed classification technique is validated on 15 patients: healthy, asthma and chronic obstructive pulmonary disease (COPD).

[1]  Clara M. Ionescu,et al.  Phase Constancy in a Ladder Model of Neural Dynamics , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[2]  Bachir Boucheham,et al.  R wave detection using fractional digital differentiation , 2003 .

[3]  Robin De Keyser,et al.  Fractional-order impulse response of the respiratory system , 2011, Comput. Math. Appl..

[4]  Robert B. Darling,et al.  Effects of low work function metals on the barrier height of sulfide‐treated n‐type GaAs(100) , 1992 .

[5]  J. Fredberg,et al.  Input impedance and peripheral inhomogeneity of dog lungs. , 1992, Journal of applied physiology.

[6]  A. Oustaloup.  La dérivation non entière , 1995 .

[7]  Robin De Keyser,et al.  Fractional order model parameters for the respiratory input impedance in healthy and in asthmatic children , 2011, Comput. Methods Programs Biomed..

[8]  Robin De Keyser,et al.  Fan-based device for non-invasive measurement of respiratory impedance: Identification, calibration and analysis , 2016, Biomed. Signal Process. Control..

[9]  A. Charef,et al.  Digital fractional order operators for R-wave detection in electrocardiogram signal , 2009 .

[10]  A L Goldberger,et al.  On a mechanism of cardiac electrical stability. The fractal hypothesis. , 1985, Biophysical journal.

[11]  Robin De Keyser,et al.  Relations Between Fractional-Order Model Parameters and Lung Pathology in Chronic Obstructive Pulmonary Disease , 2009, IEEE Transactions on Biomedical Engineering.

[12]  Abdelfatah Charef,et al.  PVC discrimination using the QRS power spectrum and self-organizing maps , 2009, Comput. Methods Programs Biomed..

[13]  Robin De Keyser,et al.  Low frequency constant-phase behavior in the respiratory impedance , 2011, Biomed. Signal Process. Control..

[14]  Gerd Vandersteen,et al.  A Fan-Based, Low-Frequent, Forced Oscillation Technique Apparatus , 2014, IEEE Transactions on Instrumentation and Measurement.

[15]  A. Charef,et al.  Fractal system — A time domain approach , 2006, Annals of Biomedical Engineering.

[16]  Bruce J. West.  Fractal Physiology and the Fractional Calculus: A Perspective , 2010, Front. Physio..

[17]  Khaled Assaleh,et al.  Modeling of speech signals using fractional calculus , 2007, 2007 9th International Symposium on Signal Processing and Its Applications.

[18]  Ram Bilas Pachori,et al.  Classification of ictal and seizure-free EEG signals using fractional linear prediction , 2014, Biomed. Signal Process. Control..

[19]  Z. Hantos,et al.  Mechanical impedances of lungs and chest wall in the cat. , 1992, Journal of applied physiology.

[20]  Robin De Keyser,et al.  Modelling respiratory impedance in patients with kyphoscoliosis , 2014, Biomed. Signal Process. Control..

[21]  A. Eke,et al.  Fractal characterization of complexity in temporal physiological signals , 2002, Physiological measurement.

[22]  P. Sharp,et al.  True colour imaging of the fundus using a scanning laser ophthalmoscope. , 2002, Physiological measurement.

[23]  Jason H. T. Bates,et al.  Lung Mechanics: An Inverse Modeling Approach , 2009 .

[24]  N. Belgacem,et al.  Arrhythmias discrimination based on fractional order system and KNN classifier , 2015 .

[25]  R. Magin.  Fractional Calculus in Bioengineering , 2006 .