PMID: 9435640Jan 22, 1998Paper

First-order differential-delay equation for the baroreflex predicts the 0.4-Hz blood pressure rhythm in rats

The American Journal of Physiology
D E BurgessD R Brown

Abstract

We have described a 0.4-Hz rhythm in renal sympathetic nerve activity (SNA) that is tightly coupled to 0.4-Hz oscillations in blood pressure in the unanesthetized rat. In previous work, the relationship between SNA and fluctuations in mean arterial blood pressure (MAP) was described by a set of two first-order differential equations. We have now modified our earlier model to test the feasibility that the 0.4-Hz rhythm can be explained by the baroreflex without requiring a neural oscillator. In this baroreflex model, a linear feedback term replaces the sympathetic drive to the cardiovascular system. The time delay in the feedback loop is set equal to the time delay on the efferent side, approximately 0.5 s (as determined in the initial model), plus a time delay of 0.2 s on the afferent side for a total time delay of approximately 0.7 s. A stability analysis of this new model yields feedback resonant frequencies close to 0.4 Hz. Because of the time delay in the feedback loop, the proportional gain may not exceed a value on the order of 10 to maintain stability. The addition of a derivative feedback term increases the system's stability for a positive range of derivative gains. We conclude that the known physiological time delay f...Continue Reading

References

Jan 1, 1968·Quarterly Journal of Experimental Physiology and Cognate Medical Sciences·J H Green, P F Heffron
Jul 1, 1993·Integrative Physiological and Behavioral Science : the Official Journal of the Pavlovian Society·D C RandallK R Powell

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Citations

Mar 15, 2001·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·J V Ringwood, S C Malpas
Jul 17, 2001·American Journal of Physiology. Heart and Circulatory Physiology·P van de BorneV K Somers
Oct 22, 2002·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Don E BurgessDavid R Brown
Sep 14, 2002·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Paola A Lanfranchi, Virend K Somers
May 20, 2004·Advances in Physiology Education·David C RandallTimothy J Burkholder
Jul 14, 2005·Journal of Mathematical Biology·A C Fowler, M J McGuinness
Jul 18, 2006·American Journal of Physiology. Heart and Circulatory Physiology·David R BrownDavid C Randall
Jan 22, 2010·Europace : European Pacing, Arrhythmias, and Cardiac Electrophysiology : Journal of the Working Groups on Cardiac Pacing, Arrhythmias, and Cardiac Cellular Electrophysiology of the European Society of Cardiology·Ciarán FinucaneRose Anne Kenny
Jul 18, 2002·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Huang-Ku LiuSimon C Malpas
Jun 19, 2001·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·S J GuildS C Malpas
Oct 26, 2000·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·B R DworkinS Dworkin
Feb 19, 2005·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Peter E Hammer, J Philip Saul
Feb 22, 2003·American Journal of Physiology. Heart and Circulatory Physiology·Mauro Ursino, Elisa Magosso
Oct 23, 2004·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·David C RandallDon E Burgess
Jul 17, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Alberto PortaLuc Quintin
Dec 19, 2001·American Journal of Physiology. Heart and Circulatory Physiology·Simon C Malpas
Mar 19, 2013·FASEB Journal : Official Publication of the Federation of American Societies for Experimental Biology·Bernard CohenSergei B Yakushin

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