Abstract
We propose in this paper to derive a new relationship between the successive inspiratory and expiratory durations of the same respiratory cycle, from the discrepancy observed between experimental data of entrainment and theoretical results obtained by simulation of a model we have previously described.
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
Preview
Unable to display preview. Download preview PDF.
References
Baconnier, P., Benchetrit, G., Demongeot, J. and Pham Dinh, T., 1983a, Simulation of the entrainment of the respiratory rhythm by two conceptuall different models, Lecture Notes in Biomaths., 49:1.
Baconnier, P., Benchetrit, G., Demongeot, J. and Pham Dinh, T., 1983b, Entrainment of the respiratory rhythm, in: “Modelling and Control of Breathing”, B.J. Whipp & D.M Wiberg eds., Elsevier, Amsterdam.
Baker, J.P. and Remmers, J.E., 1980, Characteristics of sustained graded inspiratory inhibition by phasic lung volume change, Journal of Applied Physiology,48:302.
Belair, J., 1986, Perodic pulsatile stimulation of a non linear oscillator, J.Math.Biol.,24: 217.
Benchetrit, G. and Bertrand, F., 1975, A short-term memory in the respiratory centres: statistical analysis, Respir. Physiol., 23:147.
Benchetrit, G., Caille D., Pham-Dinh T. and Vibert, J.F., 1977, Synchronisation et entraînement de la décharge phrénique par les afférences pulmonaires, J. Physiol. (Paris), 73:139A.
Benchetrit, G. and Pham Dinh, T., 1974, Un essai d’analyse statistique des séries de données respiratoires, Revue de statistiques appliquées, 22:51.
Benchetrit, G., Muzzin, S., Baconnier, P., Bachy, J.P. and Eberhard, A., 1986, Entrainment of the respiratory rhythm by repetitive stimulation of pulmonary receptors: effect of CO2, in: “Neurobiology of the Control of Breathing”, C. von Euler & H. Lagercrantz, eds., Raven Press, New York.
Bruce, E., Gothe, B., Cherniak, N., Modarreszadeh, M. and Elhefnawy, A., 1986, Short-term memory in respiratory pattern of awake men, rats and cats, Federation Proceedings, 45:159.
Clarke, F.J and von Euler, C., 1972, On the regulation of depth and rate of breathing, J of Physiology (London), 222:267.
Demongeot, J., Baconnier, P., Eberhard, A., Pan Xinan, Cosnard, M., Pham Dinh, T. and Benchetrit, G., 1985, Entraînement du rythme respiratoire: simulation par un modèle explicite, in: “Biologie Théorique”, G. Benchetrit et al.,eds., Editions du C.N.R.S, Paris.
Demongeot, J., Pachot, P., Baconnier, P., Benchetrit, G., Muzzin, S. and Pham Dinh, T., 1987, Entrainment of the respiratory rhythm: concepts and techniques of analysis, in: “Concepts and Formalizations in the Control of Breathing”, G. Benchetrit, P. Baconnier & J. Demongeot, eds., Manchester University Press.
Glass, L., 1987, Is the respiratory rhythm generated by a limit cycle oscillator?, in: “Concepts and Formalizations in the Control of Breathing”, G. Benchetrit, P. Baconnier & J. Demongeot, eds., Manchester University Press.
Glass, L. and Perez, R.,1982, Fine structure of phase locking, Physical Review Letters, 48,1772.
Graves, C., Glass, L., Laporta, D., Meloche, R. and Grassino, A., 1986, Respiratory phase locking during mechanical ventilation in anaesthetized human subjects, Am. J. of Physiology, 250:902.
Knox, C.K., 1973, Characteristics of inflation and deflation reflexes during expiration in the cat, J. of Neurophysiology, 36:284.
Paydarfar, D., Eldridge, F.L and Killey, J.P., 1986, Resetting of mammalian respiratory rhythm: existence of a phase singularity, Am. J. of Physiology, 250:559.
Paydarfar, D. and Eldridge, F.L., 1987, Phase resetting responses of the respiratory oscillator, Am. J. of Physiol., 252:R55.
Petrillo, G.A, Glass, L. and Trippenbach, T., 1983, Phase locking of the respiratory rhythm in cats to a mechanical ventilator, Can. J. of Physiology and pharmacology, 61:559.
Pham Dinh, T., Demongeot, J., Baconnier, P. and Benchetrit, G., 1983, Simulation of a biological oscillator: the respiratory rhythm, J. of Theoretical Biology, 103:113.
Segundo, J.P., 1979, Pacemaker synaptic interactions: modelled locking and paradoxical features, Biol. Cybernetics, 35:55.
Trenchard, T., 1977, Role of the pulmonary stretch receptors during breathing in rabbits, cats and dogs, Respiration Physiology, 29:231.
Vibert, J.F., Caille, D. and Segundo, J.P., 1981, Respiratory oscillator entrainment by a periodic vagal afference: An experimental test of a model, Biol. Cybernetics, 41:119.
Vibert, J.F., Caille, D. and Segundo, J.P., 1985, Examination with a computer of how parameters changes and variabilities influence a model of oscillator entrainment, Biol. Cybernetics, 53:1.
Younes, M., Baker, J.P., Polachek, J. and Remmers, J.E., 1977, Termination of inspiration through graded inhibition of inspiratory activity,in: “The Regulation of Respiration during Sleep and Anaesthesia, R.S. Fitzgerald, H. Gautier & S. Lahiri, eds., Plenum Press, New York.
Zuperku, E.J and Hopp, F.A., 1985, On the relation between expiratory duration and subsequent inspiration duration, J. of Applied Physiology, 58:419.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Plenum Press, New York
About this chapter
Cite this chapter
Demongeot, J., Pachot, P., Baconnier, P., Muzzin, S., Benchetrit, G. (1989). Intracycle Relationship Between Successive Phases of the Respiration: A New Modelling Assumption. In: Swanson, G.D., Grodins, F.S., Hughson, R.L. (eds) Respiratory Control. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0529-3_42
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0529-3_42
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-7851-1
Online ISBN: 978-1-4613-0529-3
eBook Packages: Springer Book Archive