Mechanical models of the respiratory system: non-linear and inhomogeneous models

  • Z. Hantos
Part of the Topics in Anaesthesia and Critical Care book series (TIACC)


Non-linearities and structural complexity are characteristic determinants of the respiratory mechanical system. Although they are inherent properties in both health and disease, it is generally assumed that their effects are predominantly manifested in pathological conditions. The linear and one-compartment models, which are of key importance for an understanding of the fundamentals of mechanical behaviour, may be of restricted validity in pulmonary diseases associated with flow limitation, loss of elastic recoil, peripheral bronchoconstriction and certain other mechanical disorders.


Airway Resistance Respiratory Mechanic Peripheral Airway Alveolar Pressure Respiratory Mechanical System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Wald A, Jason D, Murphy TW, Mazzia VDB (1969) A computer system for respiratory parameters. Comput Biomed Res 2:411–429PubMedCrossRefGoogle Scholar
  2. 2.
    Mead J, Milic-Emili J (1964) Theory and methodology in respiratory mechanics with glossary of symbols. In: Fenn WO, Rahn H (eds) Respiration. Handbook of physiology. Vol 1. American Physiological Society, Washington, pp 363–376Google Scholar
  3. 3.
    Hantos Z, Daróczy B, Klebniczki J, Dombos K, Nagy S (1982) Parameter estimation of transpulmonary mechanics by a non-linear inertive model. J Appl Physiol 52:955–963PubMedGoogle Scholar
  4. 4.
    Eissa NT, Ranieri M, Corbeil C, Chasse M, Braidy J, Milic-Emili J (1991) Effect of positive end-expiratory pressure, lung volume, and inspiratory flow on interrupter resistance in patients with adult respiratory distress syndrome. Am Rev Respir Dis 144:538–543PubMedCrossRefGoogle Scholar
  5. 5.
    Hildebrandt J (1970) Dynamic properties of air-filled excised cat lung determined by liquid Plethysmograph. J Appl Physiol 27:246–250Google Scholar
  6. 6.
    Hildebrandt J (1970) Pressure-volume data of cat lung interpreted by a plastoelastic linear viscoelastic model. J Appl Physiol 28:365–372PubMedGoogle Scholar
  7. 7.
    Peslin R, Fredberg JJ (1986) Oscillation mechanics of the respiratory system. In: Macklem PT, Mead J (eds) The respiratory system. Handbook of Physiology. Vol III. Mechanics of breathing. American Physiological Society, Bethesda, pp 145–178Google Scholar
  8. 8.
    Hantos Z, Csendes T, Suki B, Nagy S (1990) Modeling of low-frequency pulmonary impedance in the dog. J Appl Physiol 68:849–860PubMedGoogle Scholar
  9. 9.
    Hantos Z, Daróczy B, Suki B, Nagy S, Fredberg JJ (1992) Input impedance and peripheral inhomogeneity of dog lungs. J Appl Physiol 72:168–178PubMedCrossRefGoogle Scholar
  10. 10.
    Hantos Z, Adamicza Ä, Govaerts E, Daróczy B (1992) Mechanical impedances of lungs and chest wall in the cat. J Appl Physiol 73:427–433PubMedGoogle Scholar
  11. 11.
    Daróczy B, Fabula A, Hantos Z (1991) Use of noninteger-multiple pseudorandom excitation to minimize non-linear effects on impedance estimation. Eur Respir Rev 1:183–187Google Scholar
  12. 12.
    Suki B, Lutchen KR (1992) Pseudorandom signals to estimate apparent transfer and coherence functions of non-linear systems: applications to respiratory mechanics. IEEE Trans Biomed Eng 39:1142–1151PubMedCrossRefGoogle Scholar
  13. 13.
    Lutchen KR, Yang K, Kaczka DW, Suki B (1993) Optimal ventilator waveform for estimating low-frequency mechanical impedance in healthy and diseased subjects. J Appl Physiol 75:478–488PubMedGoogle Scholar
  14. 14.
    Hantos Z, Petak F, Adamicza Ä, Daróczy B, Suki B, Lutchen KR (1994) Optimum ventilator waveform for the estimation of respiratory impedance: an animal study. Eur Respir Rev 4:191–197Google Scholar
  15. 15.
    Lutchen KR, Suki B, Kaczka DW, Zhang Q, Hantos Z, Daróczy B, Petak F (1994) Direct use of mechanical ventilation to measure respiratory mechanics associated with physiological breathing. Eur Respir Rev 4:98–202Google Scholar
  16. 16.
    Lutchen KR, Suki B, Zhang Q, Petak F, Daróczy B, Hantos Z (1994) Airway and tissue mechanics during physiological breathing and bronchoconstriction in dogs. J Appl Physiol 77:373–385PubMedGoogle Scholar
  17. 17.
    Suki B, Zhang Q, Lutchen KR (1995) Relationship between frequency and amplitude dependence in the lung: a non-linear block-structured modeling approach. J Appl Physiol 79:660–671PubMedGoogle Scholar
  18. 18.
    Rohrer F (1915) Der Strömungswiderstand in den menschlichen Atemwegen und der Einfluss der unregelmässigen Verzweigung des Bronchialsystems auf den Atmungsverlauf in verschiedenen Lungenbezirken. Pfluegers Arch 162:255–259Google Scholar
  19. 19.
    Jaeger MJ, Matthys H (1968) The pattern of flow in the human upper airways. Respir Physiol 6:113–127PubMedCrossRefGoogle Scholar
  20. 20.
    Zin WA (1998) Pathophysiology of flow limitation. In: Gullo A (ed) Proceedings of the 12th postgraduate course in critical care medicine. Springer-Verlag, Berlin Heidelberg New York, pp 75–82Google Scholar
  21. 21.
    Varène P, Jacquemin C (1970) Airways resistance: A new method of computation. In: Bouhuys A (ed) Airway dynamics. Physiology and pharmacology. Charles C Thomas, Springfield, pp 99–108Google Scholar
  22. 22.
    Hantos Z, Galgóczy G, Daróczy B, Dombos K (1978) Computation of equivalent airway resistance. A comparison with routine evaluation of Plethysmographie measurements. Respiration 36:64–72PubMedCrossRefGoogle Scholar
  23. 23.
    Maksym GN, Bates JHT (1997) A distributed non-linear model of lung tissue elasticity. J Appl Physiol 82:32–41PubMedGoogle Scholar
  24. 24.
    Fung YC (1981) Biomechanics. Mechanical properties of living tissues. Springer- Verlag, Berlin Heidelberg New YorkGoogle Scholar
  25. 25.
    Fredberg JJ, Stamenovic D (1989) On the imperfect elasticity of lung tissue. J Appl Physiol 67:2408–2419PubMedGoogle Scholar
  26. 26.
    Barnas GM, Sprung J (1993) Effect of mean airway pressure and tidal volume on lung and chest wall mechanics in the dog. J Appl Physiol 74:2286–2293PubMedGoogle Scholar
  27. 27.
    Suki B, Hantos Z, Daróczy B, Alkaysi G, Nagy S (1991) Non-linearity and harmonic distortion of dog lungs measured by low-frequency forced oscillations. J Appl Physiol 71:69–75PubMedGoogle Scholar
  28. 28.
    Barnas GM, Sprung J, Kahn R, Delaney PA, Agarwal M (1995) Lung tissue and airway impedances during pulmonary edema in the normal range of breathing. J Appl Physiol 78:1889–1897PubMedGoogle Scholar
  29. 29.
    Barnas GM, Stamenovic D, Lutchen KR (1992) Lung and chest wall impedances in the dog in the normal range of breathing. J Appl Physiol 73:1039–1046Google Scholar
  30. 30.
    Barnas GM, Mackenzie OF, Skacel M, Hempleman SC, Wicke KM, Skacel CM, Loring SH (1989) Amplitude dependency of regional chest wall resistance and elastance at normal breathing frequencies. Am Rev Respir Dis 140:25–30PubMedCrossRefGoogle Scholar
  31. 31.
    Barnas GM, Campbell DN, Mackenzie CF, Mendham JE, Fahy BG, Runcie CJ, Mendham GE (1991) Lung, chest wall, and total respiratory system resistance and elastance in the normal range of breathing. Am Rev Respir Dis 143:240–244PubMedGoogle Scholar
  32. 32.
    Suki B, Bates JHT (1991) A non-linear viscoelastic model of lung tissue mechanics. J Appl Physiol 71:826–833PubMedGoogle Scholar
  33. 33.
    Suki B (1993) Non-linear phenomena in respiratory mechanical measurements. J Appl Physiol 74:2574–2584PubMedGoogle Scholar
  34. 34.
    Navajas D, Maksym GN, Bates JHT (1995) Dynamic viscoelastic nonlinearity of lung parenchymal tissue. J Appl Physiol 79:348–356PubMedGoogle Scholar
  35. 35.
    Peslin R, Saunier C, Duvivier C, Marchand M (1995) Analysis of low-frequency lung impedance in rabbits with non-linear models. J Appl Physiol 79:771–780PubMedGoogle Scholar
  36. 36.
    Stamenovic D, Lutchen KR, Barnas GM (1993) Alternative model of respiratory tissue viscoplasticity. J Appl Physiol 75:1062–1069PubMedGoogle Scholar
  37. 37.
    Radford EP Jr (1957) Recent studies of the mechanical properties of mammalian lungs. In: Remington JW (ed) Tissue elasticity. American Physiological Society, Washington DC, pp 177–190Google Scholar
  38. 38.
    Suki B, Barabasi A-L, Hantos Z, Petak F, Stanley HE (1994) Avalanches and power-law behaviour in lung inflation. Nature 368:615–618PubMedCrossRefGoogle Scholar
  39. 39.
    Otis DR Jr, Petak F, Hantos Z, Fredberg JJ, Kamm RD (1996) Airway closure and reopening assessed by the alveolar capsule oscillation technique. J Appl Physiol 80:2077–2084PubMedGoogle Scholar
  40. 40.
    Lefevre GR, Kowalski SE, Girling LG, Thiessen DB, Mutch WAG (1996) Improved arterial oxygenation after oleic acid lung injury in the pig using a computer-controlled mechanical ventilator. Am J Respir Crit Care Med 154:1567–1572PubMedGoogle Scholar
  41. 41.
    Otis AB, McKerrow CB, Bartlett RA, Mead J, Mcllroy MB, Selverstone NJ, Radford EP Jr (1956) Mechanical factors in distribution of pulmonary ventilation. J Appl Physiol 8:427–443PubMedGoogle Scholar
  42. 42.
    Mead J (1969) Contribution of compliance of airways to frequency-dependent behavior of lungs. J Appl Physiol 26:670–673PubMedGoogle Scholar
  43. 43.
    Fredberg JJ, Keefe DH, Glass GM, Castile RG, Frantz ID III (1984) Alveolar pressure nonhomogeneity during small-amplitude high-frequency oscillation. J Appl Physiol 57:788–800PubMedGoogle Scholar
  44. 44.
    Fredberg JJ, Ingram RH Jr, Castile RG, Glass GM, Drazen JM (1985) Nonhomogeneity of lung response to inhaled histamine assessed with alveolar capsules. J Appl Physiol 58:1914–1922PubMedGoogle Scholar
  45. 45.
    Lutchen KR, Hantos Z, Petak F, Adamicza A, Suki B (1996) Airway inhomogeneities contribute to apparent lung tissue mechanics during constriction. 80:1841–1849Google Scholar
  46. 46.
    Petak F, Hantos Z, Adamicza A, Asztalos T, Sly PD (1997) Methacholine-induced bronchoconstriction in rats: effects of intravenous vs. aerosol delivery. J Appl Physiol 82:1479–1487PubMedCrossRefGoogle Scholar
  47. 47.
    Horsfield K, Kemp W, Phillips S (1982) An asymmetrical model of the airways of the dog lung. J Appl Physiol 52:21–26PubMedGoogle Scholar
  48. 48.
    Lutchen KR, Greenstein JL, Suki B (1996) How inhomogeneities and airway walls affect frequency dependence and separation of airway and tissue properties. J Appl Physiol 80:1696–1707PubMedGoogle Scholar
  49. 49.
    Thorpe CW, Bates JHT (1997) Effect of stochastic heterogeneity on lung impedance during acute bronchoconstriction: A model analysis. J Appl Physiol 82:1616–1625PubMedGoogle Scholar
  50. 50.
    Lutchen KR, Gillis H (1997) Relationship between heterogeneous changes in airway morphometry and lung resistance and elastance. J Appl Physiol 83:1192–1201PubMedGoogle Scholar

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© Springer-Verlag Italia, Milano 1999

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  • Z. Hantos

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