Abstract-A transfer function from baroreceptor pressure input to sympathetic nerve activity (SNA) shows high-pass characteristics in the frequency range from 0.01 to 1 Hz in anesthetized rabbits. The high-pass characteristics of the neural arc contribute to a quick and stable arterial pressure (AP) regulation. However, if the high-pass characteristics hold up to the frequency of heart rate (3-5 Hz), a pulsatile pressure component in AP would yield an extremely large amplitude of pulsatility in SNA. Such a large amplitude in SNA would hit the nonlinearities in baroreflex pathways, thereby disable the baroreflex regulation of AP. We hypothesized therefore that the transfer gain at the frequency of heart rate would be much smaller than that predicted from the high-pass characteristics of the neural arc. In anesthetized rabbits (n=6), we perturbed carotid sinus pressure (CSP) according to a binary white noise with a switching interval of 50 ms. The transfer function from CSP to cardiac SNA was then estimated in the range from 0.012 to 10 Hz. The neural arc transfer function showed high-pass characteristics in the frequencies below 0.7 Hz, while losing the transfer gain above the frequency at −20 dB/decade. A simulation study indicated that the attenuation of the pulsatile pressure component in the neural arc was effective to retain the reflex regulation of AP. Keywords-transfer function, simulation
I. INTRODUCTIONEstimation of transfer functions among cardiovascular variables is useful in providing insight into the mechanisms of cardiovascular regulation [1][2][3][4][5][6]. In a previous study, we decomposed the carotid sinus baroreflex system into the neural arc from carotid sinus pressure (CSP) to sympathetic nerve activity (SNA) and the peripheral arc from SNA to arterial pressure (AP) [1]. A transfer function analysis revealed that the neural arc approximates the first-order high-pass filter in the frequency range between 0.01 and 1 Hz. In contrast, the peripheral arc approximates the secondorder low-pass filter in this frequency range. A numerical simulation indicated that the fast neural arc compensated for the slow peripheral arc to achieve a quick and stable AP regulation. This simulation result was obtained based on nonpulsatile AP [1]. However, if we made AP pulsatile (4-Hz sinusoid with peak-to-peak amplitude of 20 mmHg), the pulsatile pressure yield an extremely large amplitude of pusatility in SNA due to the high-pass characteristics of the neural arc. This phenomenon does not affect the resulting AP regulation as long as the baroreflex system linearly operates. However, there exist nonlinearities such as threshold and saturation in the native baroreflex system. Thus, if the pulsatile signal is in fact amplified by the highpass characteristics of the neural arc, the large amplitude of SNA would hit the nonlinearities in the baroreflex pathways, thereby disable the baroreflex regulation of AP. We hypothesized therefore that the transfer gain of the neural arc would wane somewhere below the frequency of h...