Abstract
This chapter provides the reader with insight for selecting the best candidate model to characterize the impedance and further validation in clinical studies. An analysis of the modeling performance of several candidate fractional-order models on the respiratory impedance is necessary, in order to decide which model is most suitable in the frequency range of interest. The models are presented on an evolutionary basis from the most simple to the most complex representation. The model delivering the least modeling errors and having the least number of parameters is then selected as the best candidate to model the input impedance in various frequency range intervals. Once the selection is performed, the ability of the FO model in classifying between healthy and pathologic patient data needs to be assessed. The investigated clinical groups are twofold: (i) adults and (ii) children. In the adult group are healthy volunteers and patients a priori diagnosed with chronic obstructive pulmonary disease and with kyphoscoliosis. In the children group are healthy volunteers, and patients a priori diagnosed with asthma and with cystic fibrosis. All the measurements have been performed using the forced oscillation lung function test.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Barnes PJ (2000) Chronic obstructive pulmonary disease. N Engl J Med 343(4):269–280
Bates J (2009) Lung mechanics—an inverse modeling approach. Cambridge University Press, Cambridge
Beaulieu A, Bosse D, Micheau P, Avoine O, Praud J, Walti H (2012) Measurement of fractional order model parameters of respiratory mechanical impedance in total liquid ventilation. IEEE Trans Biomed Eng 59(2):323–331
Brennan S, Hall G, Horak F, Moeller A, Pitrez P, Franzmann A, Turner S, de Klerk N, Franklin P, Winfield K, Balding E, Stick S, Sly P (2005) Correlation of forced oscillation technique in preschool children with cystic fibrosis with pulmonary inflammation. Thorax 60:159–163
Busse W, Lemanske R (2001) Asthma New Engl J Med 344(5):350–362
Cavalcanti J, Lopes A, Jansen J, Melo P (2006) Detection of changes in respiratory mechanics due to increasing degrees of airway obstruction in asthma by the forced oscillation technique. Respir Med 100:2207–2219
Duarte F, Tenreiro Machado JA, Duarte G (2010) Dynamics of the Dow Jones and the NASDAQ stock indexes. Nonlinear Dyn 61(4):691–705
Duiverman E, Clement J, Van De Woestijne K, Neijens H, van den Bergh A, Kerrebijn K (1985) Forced oscillation technique: reference values for resistance and reactance over a frequency spectrum of 2–26 Hz in healthy children aged 2.3–12.5 years. Clin Respir Physiol 21:171–178
Farre R, Peslin R, Oostveen E, Suki B, Duvivier C, Navajas D (1989) Human respiratory impedance from 8 to 256 Hz corrected for upper airway shunt. J Appl Physiol 67:1973–1981
Fredberg J, Stamenovic D (1989) On the imperfect elasticity of lung tissue. J Appl Physiol 67:2408–2419
Frey U, Suki B, Kraemer R, Jackson A (1997) Human respiratory input impedance between 32 and 800 Hz, measured by interrupter technique and forced oscillations. J Appl Physiol 82:1018–1023
Frey U, Schibler A, Kraemer R (1995) Pressure oscillations after flow interruption in relation to lung mechanics. Respir Physiol 102:225–237
Frey U, Silverman M, Kraemer R, Jackson A (1998) High-frequency respiratory impedance measured by forced oscillation technique in infants. Am J Respir Crit Care Med 158:363–370
Gillis H, Lutchen KR (1999) How heterogeneous bronchconstriction affects ventilation and pressure distributions in human lungs: a morphometric model. Ann Biomed Eng 27:14–22
Habib R, Chalker R, Suki B, Jackson A (1994) Airway geometry and wall mechanical properties estimated from sub-glottal input impedance in humans. J Appl Physiol 77(1):441–451
Hanifi A, Goplen N, Matin M, Salters R, Alam R (2012) A linear parametric approach for analysis of mouse respiratory impedance. IEEE Trans Biomed Circuits Syst 6(3):287–294
Hantos Z, Daroczy B, Suki B, Galgoczy G, Csendes T (1986) Forced oscillatory impedance of the respiratory system at low frequencies. J Appl Phys 60(1):123–132
Hantos Z, Daroczy B, Suki B, Nagy S, Fredberg J (1992) Input impedance and peripheral inhomogeneity of dog lungs. J Appl Phys 72(1):168–178
Hantos Z, Adamicz A, Govaerts E, Daroczy B (1992) Mechanical impedances of lungs and chest wall in the cat. J Appl Phys 73(2):427–433
Hlastala M, Robertson T (1998) Complexity in structure and function of the lung. In: Lung biology in health and disease series, vol 121. Dekker, New York
Hogg J, Chu F, Utokaparch S et al. (2004) The nature of small airway obstruction in chronic obstructive pulmonary disease. N Engl J Med 350(26):2645–2653
Horsfield K, Dart G, Olson D, Cumming G (1971) Models of the human bronchial tree. J Appl Physiol 31:207–217
Hou C, Gheorghiu S, Coppens MS, Huxley VH, Pfeifer P (2005) Gas diffusion through the fractal landscape of the lung. In: Losa, Merlini, Nonnenmacher (ed) Fractals in biology and medicine, vol IV. Birkhauser, Berlin
Ionescu C, Muntean I, Tenreiro-Machado J, De Keyser R, Abrudean M (2009) A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry. IEEE Trans Biomed Eng. doi:10.1109/TBME.2009.2030496
Ionescu C, Derom E, De Keyser R (2009) Assessment of respiratory mechanical properties with constant-phase models in healthy and COPD lungs. Comput Methods Programs Biomed. doi:10.1016/j.cmpb.2009.06.006
Ionescu C, Machado JT, De Keyser R (2011) Fractional-order impulse response of the respiratory system. Comput Math Appl 62(3):845–854
Ionescu C, De Keyser R, Sabatier J, Oustaloup A, Levron F (2011) Low frequency constant-phase behaviour in the respiratory impedance. Biomed Signal Process Control 6:197–208
Jabloński I, Mroczka J (2009) Frequency domain identification of the respiratory system model during the interrupter technique. Measurement 42:390–398
Jabloński I, Polak A, Mroczka J (2011) Preliminary study on the accuracy of respiratory input impedance measurement using the interrupter technique. Comput Methods Programs Biomed 101:115–125
Jesus I, Tenreiro Machado JA (2008) Development of fractional order capacitors based on electrolyte processes. Nonlinear Dyn. doi:10.1007/s11071-008-9377-8
Lutchen KR, Gillis H (1997) The relation between airway morphometry and lung resistance and elastance during constriction: a modeling study. J Appl Physiol 83(4)
Losa G, Merlini D, Nonnenmacher T, Weibel E (2005) Fractals in biology and medicine, vol IV. Birkhauser, Basel
Mandelbrot B (1983) The fractal geometry of nature. Freeman, New York
McCool F, Rochester D (2008) Non-muscular diseases of the chest wall. In: Fishman A (ed) Fishman’s pulmonary disease and disorders, vol II. McGraw-Hill Medical, New York, pp 1541–1548
Monje CA, Chen YQ, Vinagre B, Xue D, Feliu V (2010) Fractional order systems and controls—fundamentals and applications. Advanced industrial control series. Springer, Berlin. ISBN 978-1-84996-334-3
Northrop R (2002) Non-invasive measurements and devices for diagnosis. CRC Press, Boca Raton
Oustaloup A (1995) La derivation non-entière. Hermes, Paris (in French)
Pasker H, Peeters M, Genet P, Nemery N, Van De Woestijne K (1997) Short-term ventilatory effects in workers exposed to fumes containing zinc oxide: comparison of forced oscillation technique with spirometry. Eur Respir J 10:523–1529
Peslin R, Duvivier C, Jardin P (1984) Upper airway walls impedance measured with head plethysmograph. J Appl Physiol: Respir, Environ Exercise Physiol 57(2):596–600
Reyes-Melo M, Martinez-Vega J, Guerrero-Salazar C, Ortiz-Mendez U (2004) Application of fractional calculus to modelling of relaxation phenomena of organic dielectric materials. In: IEEE proc int conf on solid dielectrics. 6 p
Rogers D, Doull I (2005) Physiological principles of airway clearance techniques used in the physiotherapy management of cystic fibrosis. Curr Pediatr 15:233–238
Romero PV, Sato J, Shardonofsky F, Bates J (1990) High frequency characteristics of respiratory mechanics determined by flow interruption. J Appl Physiol 69:1682–1688
Suki B, Yuan H, Zhang Q, Lutchen K (1992) Partitioning of lung tissue response and inhomogeneous airway constriction at the airway opening. J Appl Phys 82:1349–1359
Suki B, Barabasi A, Lutchen K (1994) Lung tissue viscoelasticity: a mathematical framework and its molecular basis. J Appl Physiol 76(6):2749–2759
Suki B, Bates J (2011) Lung tissue mechanics as an emergent phenomenon. J Appl Physiol 110:1111–1118
Thamrin C, Finucane K, Singh B, Hantos Z, Sly P (2007) Volume dependence of high-frequency respiratory mechanics in healthy adults. Ann Biomed Eng 36(1):162–170
Thamrin C, Albu G, Sly P, Hantos Z (2009) Negative impact of the noseclip on high-frequency respiratory impedance measurements. Respir Physiol Neurobiol 165:115–118
Thorpe CW, Bates J (1997) Effect of stochastic heterogeneity on lung impedance during acute bronchoconstriction: a model analysis. J Appl Physiol 82:1616–1625
Vignola A, Paganin F, Capieu L, Scichilone N, Bellia M, Maakel L, Bellia V, Godard P, Bousquet J, Chanez P (2004) Airway remodeling assessed by sputum and high-resolution computer tomography in asthma and COPD. Eur Respir J 24:910–917
Yuan H, Kononov S, Cavalcante F, Lutchen K, Ingenito E, Suki B (2000) Effects of collagenase and elastase on the mechanical properties of lung tissue strips. J Appl Physiol 89(3):3–14
Weibel ER (1963) Morphometry of the human lung. Springer, Berlin
Weibel ER (2005) Mandelbrot’s fractals and the geometry of life: a tribute to Benoit Mandelbrot on his 80th birthday. Losa, Merlini, Nonnenmacher (eds) Fractals in biology and medicine, vol IV. Birkhauser, Berlin
West B, Barghava V, Goldberger A (1986) Beyond the principle of similitude: renormalization of the bronchial tree. J Appl Physiol 60:1089–1097
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this chapter
Cite this chapter
Ionescu, C.M. (2013). Frequency Domain: Parametric Model Selection and Evaluation. In: The Human Respiratory System. Series in BioEngineering. Springer, London. https://doi.org/10.1007/978-1-4471-5388-7_7
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5388-7_7
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5387-0
Online ISBN: 978-1-4471-5388-7
eBook Packages: EngineeringEngineering (R0)