Skip to main content
Log in

Respiratory system dynamical mechanical properties: modeling in time and frequency domain

Biophysical Reviews Aims and scope Submit manuscript

Abstract

The mechanical properties of the respiratory system are important determinants of its function and can be severely compromised in disease. The assessment of respiratory system mechanical properties is thus essential in the management of some disorders as well as in the evaluation of respiratory system adaptations in response to an acute or chronic process. Most often, lungs and chest wall are treated as a linear dynamic system that can be expressed with differential equations, allowing determination of the system’s parameters, which will reflect the mechanical properties. However, different models that encompass nonlinear characteristics and also multicompartments have been used in several approaches and most specifically in mechanically ventilated patients with acute lung injury. Additionally, the input impedance over a range of frequencies can be assessed with a convenient excitation method allowing the identification of the mechanical characteristics of the central and peripheral airways as well as lung periphery impedance. With the evolution of computational power, the airway pressure and flow can be recorded and stored for hours, and hence continuous monitoring of the respiratory system mechanical properties is already available in some mechanical ventilators. This review aims to describe some of the most frequently used models for the assessment of the respiratory system mechanical properties in both time and frequency domain.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price includes VAT (France)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

References

  • Agostoni E, Hyatt RE (1986) Static behavior of the respiratory system. In: Macklem PT, Mead J (eds) Handbook of physiology: section 3: the respiratory system, vol. III, parts 1 and 2: the mechanics of breathing. American Physiology Society, Bethesda, pp 113–130

  • Auler JO Jr, Zin WA, Caldeira MP, Cardoso WV, Saldiva PH (1987) Pre- and postoperative inspiratory mechanics in ischemic and valvular heart disease. Chest 92:984–990

    Article  PubMed  Google Scholar 

  • Auler JOC Jr, Saldiva PHN, Carvalho CR, Negri EM, Hoelz C, Zin WA (1990) Flow and volume dependence of respiratory system mechanics during constant flow ventilation in normal subjects and in adult respiratory distress syndrome. Crit Care Med 18:1080–1086

    Article  PubMed  Google Scholar 

  • Bachofen H (1968) Lung tissue resistance and pulmonary hysteresis. J Appl Physiol 24:296–301

    PubMed  CAS  Google Scholar 

  • Bates JH, Decramer M, Chartrand D, Zin WA, Boddener A, Milic-Emili J (1985a) Volume-time profile during relaxed expiration in the normal dog. J Appl Physiol 59:732–737

    PubMed  CAS  Google Scholar 

  • Bates JH, Rossi A, Milic-Emili J (1985b) Analysis of the behavior of the respiratory system with constant inspiratory flow. J Appl Physiol 58:1840–1848

    PubMed  CAS  Google Scholar 

  • Bates JHT, Ludwig MS, Sly PD, Brown K, Martin JG, Fredberg JJ (1988) Interrupter resistance elucidated by alveolar pressure measurement in open-chest normal dogs. J Appl Physiol 65:408–414

    PubMed  CAS  Google Scholar 

  • Bersten AD (1998) Measurement of overinflation by multiple linear regression analysis in patients with acute lung injury. Eur Respir J 12:526–532

    Article  PubMed  CAS  Google Scholar 

  • Carvalho AR, Spieth PM, Pelosi P, Vidal Melo MF, Koch T, Jandre FC, Giannella-Neto A, de Abreu MG (2008) Ability of dynamic airway pressure curve profile and elastance for positive end-expiratory pressure titration. Intensive Care Med 34:2291–2299

    Article  PubMed  Google Scholar 

  • Chalker RB, Celli BR, Habib RH, Jackson AC (1992) Respiratory input impedance from 4 to 256 Hz in normals and chronic airflow obstruction: comparisons and correlations with spirometry. Am Rev Respir Dis 146:570–576

    PubMed  CAS  Google Scholar 

  • D’Angelo E, Robatto FM, Calderini E, Tavola M, Bono D, Torri G, Milic-Emili J (1991) Pulmonary and chest wall mechanics in anesthetized paralyzed humans. J Appl Physiol 70:2602–2610

    PubMed  Google Scholar 

  • D’Angelo E, Prandi E, Tavola M, Calderini E, Milic-Emili J (1994) Chest wall interrupter resistance in anesthetized paralyzed humans. J Appl Physiol 77:883–887

    PubMed  Google Scholar 

  • Duggan M, Kavanagh BP (2005) Pulmonary atelectasis: a pathogenic perioperative entity. Anesthesiology 102:838–854

    Article  PubMed  Google Scholar 

  • Fredberg JJ, Stamenovic D (1989) On the imperfect elasticity of lung tissue. J Appl Physiol 67:2408–2419

    PubMed  CAS  Google Scholar 

  • Ganzert S, Moller K, Steinmann D, Schumann S, Guttmann J (2009) Pressure-dependent stress relaxation in acute respiratory distress syndrome and healthy lungs: an investigation based on a viscoelastic model. Crit Care 13:R199

    Article  PubMed  Google Scholar 

  • Hantos Z, Suki B, Csendes T, Daroczy B (1987a) Constant-phase modelling of pulmonary tissue impedance. Bull Eur Physiopathol Respir 23:326s

    Google Scholar 

  • Hantos Z, Daroczy B, Suki B, Nagy S, Debreczeni LA (1987b) Respiratory mechanical impedance in the rat. Acta Physiol Hung 70:289–296

    PubMed  CAS  Google Scholar 

  • Hildebrandt J (1969) Dynamic properties of air-filled excised cat lung determined by liquid plethsmograph. J Appl Physiol 27:246–250

    PubMed  CAS  Google Scholar 

  • Hildebrandt J (1970) Pressure-volume data of cat lung interpreted by a plastoelastic, linear viscoelastic model. J Appl Physiol 28:365–372

    PubMed  CAS  Google Scholar 

  • Hoppin FG Jr, Stothert JC Jr, Greaves IA, Lai YL, Hildebrandt J (1986) Lung recoil: elastic and rheological properties. In: Macklem PT, Mead J (eds) Handbook of physiology: section 3: the respiratory system, vol. III, parts 1 and 2: the mechanics of breathing. American Physiology Society, Bethesda, pp 195–215

  • Ingram RH, Pedley TJ (1986) Pressure flow relationships in the lungs. In: Macklem PT, Mead J (eds) Handbook of physiology: section 3: the respiratory system, vol. III, parts 1 and 2: the mechanics of breathing. American Physiology Society, Bethesda, 277–293

  • Jandre FC, Modesto FC, Carvalho AR, Giannella-Neto A (2008) The endotracheal tube biases the estimates of pulmonary recruitment and overdistension. Med Biol Eng Comput 46:69–73

    Article  PubMed  Google Scholar 

  • Kano S, Lanteri CJ, Duncan AW, Sly PD (1994) Influence of nonlinearities on estimates of respiratory mechanics using multilinear regression analysis. J Appl Physiol 77:1185–1197

    PubMed  CAS  Google Scholar 

  • Kochi T, Okubo S, Zin WA, Milic-Emili J (1988a) Flow and volume dependence of pulmonary mechanics in anesthetized cats. J Appl Physiol 64:441–450

    PubMed  CAS  Google Scholar 

  • Kochi T, Okubo S, Zin WA, Milic-Emili J (1988b) Chest wall and respiratory system mechanics in cats: effects of flow and volume. J Appl Physiol 64:2636–2646

    PubMed  CAS  Google Scholar 

  • Lanteri CJ, Petak F, Gurrin L, Sly PD (1999) Influence of inertance on respiratory mechanics measurements in mechanically ventilated puppies. Pediatr Pulmonol 28:130–138

    Article  PubMed  CAS  Google Scholar 

  • Lorino AM, Lorino H, Harf A (1994) A synthesis of the Otis, Mead, and Mount mechanical respiratory models. Respir Physiol 97:123–133

    Article  PubMed  CAS  Google Scholar 

  • Ludwig MS, Dreshaj I, Solway J, Munoz A, Ingram RH Jr (1987) Partitioning of pulmonary resistance during constriction in the dog: effects of volume history. J Appl Physiol 62:807–815

    PubMed  CAS  Google Scholar 

  • Macklem PT (1998) The mechanics of breathing. Am J Respir Crit Care Med 157:S88–S94

    PubMed  CAS  Google Scholar 

  • Mead J (1969) Contribution of compliance of airways to frequency-dependent behavior of lungs. J Appl Physiol 26:670–673

    PubMed  CAS  Google Scholar 

  • Mergoni M, Martelli A, Volpi A, Primavera S, Zuccoli P, Rossi A (1997) Impact of positive end-expiratory pressure on chest wall and lung pressure-volume curve in acute respiratory failure. Am J Respir Crit Care Med 156:846–854

    PubMed  CAS  Google Scholar 

  • Neumann P, Rothen HU, Berglund JE, Valtysson J, Magnusson A, Hedenstierna G (1999) Positive end-expiratory pressure prevents atelectasis during general anaesthesia even in the presence of a high inspired oxygen concentration. Acta Anaesthesiol Scand 43:295–301

    Article  PubMed  CAS  Google Scholar 

  • Otis AB, McKerrow CB, Bartlett RA, Mead J, Mcllroy MB, Selverstone NJ, Radford FP Jr (1956) Mechanical factors in distribution of pulmonary ventilation. J Appl Physiol 8:427–443

    PubMed  CAS  Google Scholar 

  • Pedley TJ , Drazen JM (1986) Aerodynamic theory. In: Macklem PT, Mead J (eds) Handbook of physiology: section 3: the respiratory system, vol. III, parts 1 and 2: the mechanics of breathing. American Physiology Society, Bethesda, pp 41–54

  • Pedley TJ, Schroter RC, Sudlow MF (1970) The prediction of pressure drop and variation of resistance within the human bronchial airways. Respir Physiol 9:387–405

    Article  PubMed  CAS  Google Scholar 

  • Petak F, Hantos Z, Adamicza A, Daroczy B (1993) Partitioning of pulmonary impedance: modeling vs. alveolar capsule approach. J Appl Physiol 75:513–521

    PubMed  CAS  Google Scholar 

  • Pride NB (1992) Forced oscillation techniques for measuring mechanical properties of the respiratory system. Thorax 47:317–320

    Article  PubMed  CAS  Google Scholar 

  • Rahn H, Otis AB, Chadwick LE, Fenn O (1946) The pressure-volume diagram of the thorax and lung. Am J Physiol 146:161–178

    PubMed  CAS  Google Scholar 

  • Rodarte, Rehder K (1986) Dynamics of respiration. In: Macklem PT, Mead J (eds) Handbook of physiology: section 3: the respiratory system, vol. III, parts 1 and 2: the mechanics of breathing. American Physiology Society, Bethesda, 131–144

  • Rohrer F (1915) Der Stromungswiderstand der unregelmassigen Verzweigung des Bronchialsystems auf den Atmungsverlauf in verschiedenen Lungenbezirken. Pfluegers Arch 162:225–299

    Article  Google Scholar 

  • Rotger M, Peslin R, Navajas D, Farre R (1995) Lung and respiratory impedance at low frequency during mechanical ventilation in rabbits. J Appl Physiol 78:2153–2160

    PubMed  CAS  Google Scholar 

  • Saldiva PH, Zin WA, Santos RL, Eidelman DH, Milic-Emili J (1992) Alveolar pressure measurement in open-chest rats. J Appl Physiol 72:302–306

    PubMed  CAS  Google Scholar 

  • Sharp J, Henry J, Sweany S, Meadows W, Pietras R (1964) Total respiratory inertance and its gas and tissue components in normal and obese men. J Clin Invest 43:503–509

    Article  PubMed  CAS  Google Scholar 

  • Similowski T, Levy P, Corbeil C, Albala M, Pariente R, Derenne JP, Bates JH, Johnson B, Milic-Emili J (1989) Viscoelastic behavior of lung and chest wall in dogs determined by flow interruption. J Appl Physiol 67:2219–2229

    PubMed  CAS  Google Scholar 

  • Sullivan M, Paliotta J, Saklad M (1976) Endotracheal tube as a factor in measurement of respiratory mechanics. J Appl Physiol 41:590–592

    PubMed  CAS  Google Scholar 

  • Terragni PP, Rosboch GL, Lisi A, Viale AG, Ranieri VM (2003) How respiratory system mechanics may help in minimising ventilator-induced lung injury in ARDS patients. Eur Respir J 22:15S–21S

    Article  Google Scholar 

  • Wagers S, Lundblad LK, Ekman M, Irvin CG, Bates JH (2004) The allergic mouse model of asthma: normal smooth muscle in an abnormal lung? J Appl Physiol 96:2019–2027

    Article  PubMed  Google Scholar 

Download references

Acknowledgments

The authors acknowledge the financial support of the Brazilian Council for Scientific and Technological Development (CNPq) and Carlos Chagas Filho Rio de Janeiro State Research Supporting Foundation (FAPERJ).

Competing interests

The authors declare that they have no competing interests.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Walter Araujo Zin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carvalho, A.R., Zin, W.A. Respiratory system dynamical mechanical properties: modeling in time and frequency domain. Biophys Rev 3, 71–84 (2011). https://doi.org/10.1007/s12551-011-0048-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12551-011-0048-5

Keywords

Navigation