A mathematical model and some measured characteristics of the carotid baroreceptor control of blood pressure in man

Gédéon, A; Odselius, L.; Lindblad, Lars Erik; Wallin, Gunnar

doi:10.1007/bf02446408

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…Our model demonstrated the potential of arterial pressure to oscillate at 0.07-0.08 Hz, a period of about 12 Ϫ14 s. These low-frequency ABP oscillations observed in humans are commonly referred to as "10-s waves" (0.10 Hz), but many human studies, including the experimental portion of this study, actually report ABP oscillations at frequencies ranging from 0.07 to 0.10 Hz (6,12,16,39,50). Although our clinical observations support the notion that the exact frequency of these ABP waves varies among individuals and even within the same individual over time, the oscillatory frequency of our model was not so labile, as most model parameter changes influenced the degree of stability but not the oscillation frequency.…”

Section: Discussionmentioning

confidence: 64%

Resonance in a mathematical model of baroreflex control: arterial blood pressure waves accompanying postural stress

Hammer¹,

Saul²

2005

American Journal of Physiology-Regulatory, Integrative and Comp

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A mathematical model of the arterial baroreflex was developed and used to assess the stability of the reflex and its potential role in producing the low-frequency arterial blood pressure oscillations called Mayer waves that are commonly seen in humans and animals in response to decreased central blood volume. The model consists of an arrangement of discrete-time filters derived from published physiological studies, which is reduced to a numerical expression for the baroreflex open-loop frequency response. Model stability was assessed for two states: normal and decreased central blood volume. The state of decreased central blood volume was simulated by decreasing baroreflex parasympathetic heart rate gain and by increasing baroreflex sympathetic vaso/venomotor gains as occurs with the unloading of cardiopulmonary baroreceptors. For the normal state, the feedback system was stable by the Nyquist criterion (gain margin = 0.6), but in the hypovolemic state, the gain margin was small (0.07), and the closed-loop frequency response exhibited a sharp peak (gain of 11) at 0.07 Hz, the same frequency as that observed for arterial pressure fluctuations in a group of healthy standing subjects. These findings support the theory that stresses affecting central blood volume, including upright posture, can reduce the stability of the normally stable arterial baroreflex feedback, leading to resonance and low-frequency blood pressure waves.

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Section: Discussionmentioning

confidence: 64%

Resonance in a mathematical model of baroreflex control: arterial blood pressure waves accompanying postural stress

Hammer¹,

Saul²

2005

American Journal of Physiology-Regulatory, Integrative and Comp

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show abstract

“…In the connection of vasomotor waves, baroreceptor reflexes have been proposed (5). This concept is supported by the results of Gedeon et al (4). Their analysis on the effects of sinusoidal neck suction stimuli to the carotid baroreceptors, based on mathematical handling of the data, showed a resonance frequency of the blood pressure control system at 0.068 Hz (i.e., about 4 cycles per minute).…”

Section: Discussionmentioning

confidence: 82%

Spontaneous oscillations of systemic arterial pressure during cardiopulmonary bypass in man

1985

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Extracorporeal blood circulation (ECC) provides a steady flow and minimal pulmonary circulation in the absence of cardiac function. Oscillations of systemic arterial pressure were observed in 70 patients during ECC. At the onset of oscillations the frequency was as a rule 4 cycles per minute but depended on the temperature and showed a positive correlation with it. Correspondingly, the amplitude was about 6 mm Hg and depended on aortic pressure and showed a positive correlation with it. During the cooling phase of ECC the frequency decreased and the amplitude increased. The oscillations were independent of central venous pressure and ventilation. The oscillations disappeared either at the beginning of restitution of cardiac function or with decreasing arterial pressure caused by drug administration or rewarming. Arterial blood pressure oscillations have been described in experimental animals under various conditions but also in conscious man. The mechanisms underlying these oscillations are suggested to be nervous in origin, as is possible also in the present findings.

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Testing of heat exchanging capacity and effect of the subject's position on thermal entrainment in a water bath stimulator

Lindqvist

Jalonen

Parviainen

et al. 1989

Med. Biol. Eng. Comput.

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A mathematical model and some measured characteristics of the carotid baroreceptor control of blood pressure in man

Cited by 5 publications

References 13 publications

Resonance in a mathematical model of baroreflex control: arterial blood pressure waves accompanying postural stress

Resonance in a mathematical model of baroreflex control: arterial blood pressure waves accompanying postural stress

Spontaneous oscillations of systemic arterial pressure during cardiopulmonary bypass in man

Testing of heat exchanging capacity and effect of the subject's position on thermal entrainment in a water bath stimulator

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