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1Department of Electrical and Computer Engineering, Michigan State University, East Lansing; and 2Departments of Physiology and 3Surgery, Wayne State University School of Medicine, Detroit, Michigan
Submitted 21 July 2007 ; accepted in final form 29 October 2007
We previously developed a mathematical analysis technique for estimating the static gain values of the arterial total peripheral resistance (TPR) baroreflex (GA) and the cardiopulmonary TPR baroreflex (GC) from small, spontaneous beat-to-beat fluctuations in arterial blood pressure, cardiac output, and stroke volume. Here, we extended the mathematical analysis so as to also estimate the entire arterial TPR baroreflex impulse response [hA(t)] as well as the lumped arterial compliance (AC). The extended technique may therefore provide a linear dynamic characterization of TPR baroreflex systems during normal physiological conditions from potentially noninvasive measurements. We theoretically evaluated the technique with respect to realistic spontaneous hemodynamic variability generated by a cardiovascular simulator with known system properties. Our results showed that the technique reliably estimated hA(t) [error = 30.2 ± 2.6% for the square root of energy (EA), 19.7 ± 1.6% for absolute peak amplitude (PA), 37.3 ± 2.5% for GA, and 33.1 ± 4.9% for the overall time constant] and AC (error = 17.6 ± 4.2%) under various simulator parameter values and reliably tracked changes in GC. We also experimentally evaluated the technique with respect to spontaneous hemodynamic variability measured from seven conscious dogs before and after chronic arterial baroreceptor denervation. Our results showed that the technique correctly predicted the abolishment of hA(t) [EA = 1.0 ± 0.2 to 0.3 ± 0.1, PA = 0.3 ± 0.1 to 0.1 ± 0.0 s–1, and GA = –2.1 ± 0.6 to 0.3 ± 0.2 (P < 0.05)] and the enhancement of GC [–0.7 ± 0.44 to –1.8 ± 0.2 (P < 0.05)] following the chronic intervention. Moreover, the technique yielded estimates whose values were consistent with those reported with more invasive and/or experimentally difficult methods.
autonomic nervous system; hemodynamics; modeling; system identification; transfer function
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