Abstract
The respiratory system, as well as its pulmonary and chest wall components, is comprised of a multitude of elements. The undisputed necessity to interpret the meaning of measurable variables such as volume, airflow, and pressure under both physiological and pathological conditions has imposed the need for relatively simple models that should be able to describe as accurately as possible the mechanical behaviour of the system. The components of such models and their associated parameters should have reasonable physiological counterparts, naturally.
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 subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Sharp JT, Henry JP, Sweany SK, Meadows WR, Pietras RJ (1964) Total respiratory inertance and its gas and tissue components in normal and obese men. J Appl Physiol 43:503–509
Hantos Z, Daroczy B, Klebniczki J, Dombos K, Nagy S (1982) Parameter estimation of transpulmonary mechanics by a nonUnear inertive model. J Appl Physiol 52:955–963
Bates JHT, Shardonofsky R, Stewart DE (1989) The low-frequency dependence of respiratory system resistance and elastance in normal dogs. Respir Physiol 78:369–382
Mead J, Whittenberger JL (1953) Physical properties of human lungs measured during spontaneous respiration. J Appl Physiol 5:779–796
Zin WA, Pengelly LD, Milic-Emili J (1982) Single-breath method for measurement of respiratory mechanics in anesthetized animals. J Appl Physiol 52:1266–1271
Hughes R, May AJ, Widdicombe JG (1959) Stress relaxation in rabbits’ lungs. J Physiol (Lond) 146:85–97
Don HF, Robson JG (1965) The mechanics of the respiratory system during anesthesia. Anesthesiol 26:168–178
Bates JHT, Rossi A, Mihc-Emili J (1985) Analysis of the behavior of the respiratory system with constant inspiratory flow. J Appl Physiol 58:1840–1848
Bates JHT, Decramer M, Chartrand D, Zin WA, Böddener A, Milic-Emili J (1985) The volume-time profile during relaxed expiration in the normal dog. J Appl Physiol 59:732–737
Chelucci GL, Brunet F, Dall’Ava-Santucci J, Dhainaut JF, Paccaly D, Armaganidis A, Milic-Emili J, Lockhart A (1991) A single-compartment model cannot describe passive expiration in intubated, paralysed humans. Eur Respir J 4:458–464
Barnas GM, Yoshino K, Loring SH, Mead J (1987) Impedance and relative displacements of relaxed chest wall up to 4 Hz. J Appl Physiol 62:71–81
Brusasco V, Warner DO, Beck KC, Rodarte JR, Rehder K (1989) Partitioning of pulmonary resistance in dogs: effects of tidal volume and frequency. J Appl Physiol 66:1190–1197
Hantos Z, Daroczy B, Suki B, Galgoczy G, Csendes T (1986) Forced oscillatory impedance of the respiratory system at low frequencies. J Appl Physiol 60:123–132
Hantos Z, Daroczy B, Suki B, Nagy S (1987) Low-frequency respiratory mechanical impedance in the rat. J Appl Physiol 63:36–43
Otis AB, McKerrow CB, Bartlett RA, Mead J, Mcllroy MB, Selverstone NJ, Radford EP (1956) Mechanical factors in the distribution of pulmonary ventilation. J Appl Physiol 8: 427–444
Bates JHT, Baconnier P, Milic-Emili J (1988) A theoretical analysis of interrupter technique for measuring respiratory mechanics. J Appl Physiol 64:2204–2214
Mead J (1969) Contribution of comphance of airways to frequency-dependent behavior of lungs. J Appl Physiol 26:670–673
Eyles JG, Pimmel RL (1981) Estimating respiratory mechanical parameters in parallel compartment models. IEEE Trans Biomed Eng 28:313–317
Peslin R (1986) Methods for measuring total respiratory impedance by forced oscillations. Bull Eur Physiopathol Respir 22:621–631
Michaelson ED, Grassman ED, Peters WR (1975) Pulmonary mechanics by spectral analysis of forced random noise. J Clin Invest 56:1210–1230
Lorino AM, Lorino H, Harf A (1994) A synthesis of the Otis, Mead, and Mount mechanical respiratory models. Respir Physiol 97:123–133
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
Saldiva PHN, Zin WA, Santos RLB, Eidelman DH, Milic-Emili J (1992) Alveolar pressure measurement in open-chest rats. J Appl Physiol 72:302–306
Mount LE (1955) The ventilation flow-resistance and compliance of rat lungs. J Physiol (Lond) 127:157–167
Bates JHT, Brown KA, Kochi T (1989) Respiratory mechanics in the normal dog determined by expiratory flow interruption. J Appl Physiol 67:2276–2285
Hildebrandt J (1970) Pressure-volume data of cat lung interpreted by a plastoelastic, linear viscoelastic model. J Appl Physiol 28:365–372
Fredberg JJ, Stamenovic D (1989) On the imperfect elasticity of lung tissue. J Appl Physiol 67:2408–2419
Sharp JT, Johnson FN, Goldberg NB, van Lith P (1967) Hysteresis and stress adaptation in the human respiratory system. J Appl Physiol 23:487–497
Similowski T, Bates JHT (1991) Two-compartment modelling of respiratory system mechanics at low frequencies: gas redistribution of tissue rheology? Eur Respir J 4:353–358
Navajas D, Farre R, Cannet J, Roger M, Sanchis J (1990) Respiratory input impedance in anesthetized paralyzed patients. J Appl Physiol 69:1372–1379
Shardonofsky F, Sato J, Bates JHT (1990) Quasi-static pressure-volume hysteresis in the canine respiratory system in vivo. J Appl Physiol 68:2230–2236
Hildebrandt J (1969) Dynamic properties of air-filled excised cat lung determined by liquid plethysmography. J Appl Physiol 27:246–250
Hildebrandt J (1969) Comparison of mathematical models for cat lung and viscoelastic balloon derived by Laplace transform methods from près sure-volume data. Bull Math Biophys 31:651–667
Rohrer R (1915) Der Strömungswiderstand in den menschlichen Atemwegen und der Einfluss der unregelmässigen Verzweigung des Bronchialsystems auf den Atmungsverlauf in verschiedenen Lungenbezirken. Arch Ges Physiol 162:225–300
Suki B, Bates JHT (1991) A nonlinear viscoelastic model of lung tissue mechanics. J Appl Physiol 71:826–833
Hantos Z, Daroczy B, Suki B, Nagy S, Rredberg JJ (1992) Input impedance and peripheral inhomogeneity of dog lungs. J Appl Physiol 72:168–178
Lutchen KR, Suki B, Zhang Q, Petak R, Caroczy B, Hantos Z (1994) Airway and tissue mechanics during physiological breathing and bronchoconstriction in dogs. J Appl Physiol 77:373–385
Rotger M, Peslin R, Navajas D, Rarré R (1995) Lung and respiratory impedance at low frequency during mechanical ventilation in rabbits. J Appl Physiol 78:2153–2160.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Italia, Milano
About this chapter
Cite this chapter
Zin, W.A., Gomes, R.F.M. (1996). Mathematical Models in Respiratory Mechanics. In: Gullo, A. (eds) Anaesthesia, Pain, Intensive Care and Emergency Medicine — A.P.I.C.E.. Springer, Milano. https://doi.org/10.1007/978-88-470-2203-4_34
Download citation
DOI: https://doi.org/10.1007/978-88-470-2203-4_34
Publisher Name: Springer, Milano
Print ISBN: 978-3-540-75014-7
Online ISBN: 978-88-470-2203-4
eBook Packages: Springer Book Archive