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Am J Physiol Regul Integr Comp Physiol 246: R311-R320, 1984;
0363-6119/84 $5.00
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AJP - Regulatory, Integrative and Comparative Physiology, Vol 246, Issue 3 311-R320, Copyright © 1984 by American Physiological Society

ARTICLES

A theory for phase locking of respiration in cats to a mechanical ventilator

G. A. Petrillo and L. Glass

A mathematical model describing the Hering-Breuer reflexes in mechanically ventilated cats is developed. There is good agreement between the properties of the model and experimental studies performed over a wide range of frequencies and volumes of the mechanical ventilator. There is a correspondence between the model and a periodically forced nonlinear oscillator, similar to the van der Pol equation. Brain stem mechanisms underlying the entrainment are discussed.


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