Abstract
This paper introduces the concept of fractional order models for characterizing viscoelasticity in the lungs. A technique to detect and analyse these nonlinear, low-frequency contributions in the lung tissue is presented, along with some experimental data. The measurements are performed using the forced oscillation technique and a non-invasive lung function testing procedure which takes only 40 s, while the patient is breathing at rest. The index introduced to quantify the nonlinear contributions in the lungs in healthy is then employed in a theoretical analysis to show that the values are changing in case of disease. The results indicate that the proposed method and index are useful for clinical classification of viscoelastic properties in the lungs.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Barnas GM, Yoshino K, Loring H, Mead J (1987) Impedance and relative displacements of relaxed chest wall up to 4 Hz. J Appl Physiol 62:71–81
Bates J (2009) Lung mechanics, an inverse modelling approach, Chap. 9–11. Cambridge University Press, Cambridge
Bates J, Irvin C, Farre R, Hantos Z (2011) Oscillation mechanics of the respiratory system. Am Physiol Soc Compr Physiol 3(1):1233–1272
Birch M, MacLeod D, Levine M (2001) An analogue instrument for the measurement of respiratory impedance using for the forced oscillation technique. Phys Meas 22:323–339
DuBois AB, Brody AW, Lewis DH, Burgess BF Jr (1956) Oscillation mechanics of lungs and chest in man. J Appl Physiol 8:587–594
Guyton A, Hall J (2005) Textbook of medical physiology, 11th edn. W.B. Sanders, Philadelphia, PA; London: Saunders
Ionescu CM, Schoukens J, De Keyser R (2011a) Detecting and analyzing non-linear effects in respiratory impedance measurements. American control conference, 29 June-01 July, San Francisco, USA, pp 978–1-4577–0079-8, 5412–5417
Ionescu C, Machado JT, De Keyser R (2011b) Fractional-order impulse response of the respiratory system. In: Yong Z (ed) Computers and mathematics with application, special issue on advances in fractional differential equations II, vol 62, pp 845–854
Ionescu C, Machado JT, De Keyser R (2011c) Is multidimensional scaling suitable for mapping the input respiratory impedance in subjects and patients?. Comput Methods Prog Biomed 104:e189–e200, DOI information: 10.1016/j.cmpb.2011.02.009
Lakes RS (2009) Viscoelastic materials. Cambridge University Press, Cambridge
Lande B, Mitzner W (2006) Analysis of lung parenchyma as a parametric porous medium. J Appl Physiol 101:926–933
Michaelson ED, Grassman ED, Peters W (1975) Pulmonary mechanics by spectral analysis of forced random noise. J Clin Invest 56:1210–1230
Oostveen E, Macleod D, Lorino H, Farré R, Hantos Z, Desager K, Marchal F (2003) The forced oscillation technique in clinical practice: methodology, recommendations and future developments, Eur Respir J 22(6):1026–1041
Pelin R, Duvivier C, Bekkari H, Gallina C (1990) Stress adaptation and low frequency impedance of rat lungs. J Appl Physiol 69:1080–1086
Schoukens J, Pintelon R (2012) System identification. A frequency domain approach, 2nd edn. IEEE, New Jersey
Schoukens J, Pintelon R, Dobrowiecki T, Rolain Y (2005) Identification of linear systems with nonlinear distorsions. Automatica 41(3):491–504
Smith HJ, Reinhold P, Goldman MD (2005) Forced oscillation technique and impulse oscillometry. Eur Respir Mon 31:72–105
Suki B, Barabasi AL, Lutchen K (1994) Lung tissue viscoelasticity: a mathematical framework and its molecular basis. J Appl Physiol 76(6):2749–2759
Zhang Q, Lutchen K, Suki B (1999) A frequency domain approach to nonlinear and structure identification for long memory systems: application to lung mechanics. Ann Biomed Eng 27:1–13
Acknowledgements
The author gratefully acknowledge Hannes Maes, Stig Dooms and Dana Copot for their technical assistance. This work has been financially supported by the Flanders Research Foundation (FWO) grant nr: 3E009811.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Ionescu, C.M. (2014). Measuring and Analysing Nonlinearities in the Lung Tissue. In: Machado, J., Baleanu, D., Luo, A. (eds) Discontinuity and Complexity in Nonlinear Physical Systems. Nonlinear Systems and Complexity, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-01411-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-01411-1_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01410-4
Online ISBN: 978-3-319-01411-1
eBook Packages: EngineeringEngineering (R0)