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Am J Physiol Heart Circ Physiol 286: H2272-H2279, 2004. First published February 12, 2004; doi:10.1152/ajpheart.00787.2003
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A derivative-sigmoidal model reproduces operating point-dependent baroreflex neural arc transfer characteristics

Toru Kawada,1 Kazunori Uemura,1 Koji Kashihara,1,2 Atsunori Kamiya,1 Masaru Sugimachi,1 and Kenji Sunagawa1

1Department of Cardiovascular Dynamics, National Cardiovascular Center Research Institute, Osaka 565-8565; and 2Organization for Pharmaceutical Safety and Research, Tokyo 100-0013, Japan

Submitted 18 August 2003 ; accepted in final form 9 February 2004

A cascade model comprised of a derivative filter followed by a nonlinear sigmoidal component reproduces the input size dependence of transfer gain in the baroreflex neural arc from baroreceptor pressure input to efferent sympathetic nerve activity (SNA). We examined whether the same model could predict the operating point dependence of the baroreflex neural arc transfer characteristics estimated by a binary white noise input. In eight anesthetized rabbits, we isolated bilateral carotid sinuses from the systemic circulation and controlled intracarotid sinus pressure (CSP). We estimated the linear transfer function from CSP to SNA while varying mean CSP among 70, 100, 130, and 160 mmHg (P70, P100, P130, and P160, respectively). The transfer gain at 0.01 Hz was significantly smaller at P70 (0.61 ± 0.26) and P160 (0.60 ± 0.25) than at P100 (1.32 ± 0.42) and P130 (1.36 ± 0.45) (in arbitrary units/mmHg; means ± SD; P < 0.05). In contrast, transfer gain values above 0.5 Hz were similar among the protocols. As a result, the slope of increasing gain between 0.1 and 0.5 Hz was significantly steeper at P70 (17.6 ± 3.6) and P160 (14.1 ± 4.3) than at P100 (8.1 ± 4.4) and P130 (7.4 ± 6.6) (in dB/decade; means ± SD; P < 0.05). These results were consistent with those predicted by the derivative-sigmoidal model, where the deviation of mean input pressure from the center of the sigmoidal nonlinearity reduced the transfer gain mainly in the low-frequency range. The derivative-sigmoidal model functionally reproduces the dynamic SNA regulation by the arterial baroreflex over a wide operating range.

systems analysis; transfer function; simulation; carotid sinus baroreflex; nonlinearity



Address for reprint requests and other correspondence: T. Kawada, Dept. of Cardiovascular Dynamics, National Cardiovascular Center Research Institute, 5-7-1 Fujishirodai, Suita-shi, Osaka 565-8565, Japan (E-mail: torukawa{at}res.ncvc.go.jp).




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