The atrial rate variability measured under an atrialventricular (AV)
IntroductionHeart rate (HR) variability (HRV) had been widely used to assess the autonomic nervous activities (ANA) in many different situations including physiologically or pathologically changes. Mostly HRV is measured under an atrial-ventricular (AV) synchronization condition. In this normal condition the frequency power of HRV mainly locate at low-frequency (LF) band (0.04-0.15 Hz) and high-frequency (HF) band (0.15-0.4 Hz). But in our previous study under an AV disassociation condition, e.g. fixed-rate ventricular pacing, the atrial rate variability (ARV), was measured and showed a pattern in which the main frequency components varied with the ventricular rates [1]. Some studies was reported that ventricular rate and AV-delay have marked influences on ARV [2,3] Moreover, some evidences have shown that beat-to-beat blood pressure (BP) variation (BPV) may play a role for this phenomenon [4,5]. In our later investigation [6], we found that the oscillation frequency of ARV may be an aliasing phenomenon of BP pulse frequency exactly equal to ventricular rate when the mean atrial rate is considered as the sample rate of ARV signal. Hence we suggested that the BP pulse dominate the ARV in AV dissociation situation. Cardiac aliasing phenomena were also observed in other different experiments [7,8] in which the respiration frequency is over 1/2 mean heart rate so that the HF of HRV is not equal to the breathing rate. Although the relationship between the oscillation frequencies of ARV and ventricular pacing rate (or BP pulse rate) could be derived by the cardiac aliasing, how the ARV is regulated by the BPV needs to be revealed. The regulatory effect of blood pressure on heart rate control is known as baroreflex. Most studies use systolic BP or diastolic BP, instead of the entire BP waveform, to model this control mechanism [9]. However, the information embedded in systolic BP or diastolic BP is not enough to explain the ARV feature in AV dissociation situation. In this study, a model is created to illustrate the frequency features of ARV in response to entire BP waveform to explain the changes of ARV under AV dissociation.
Methods
IPFM modelMany heart rate control models have been proposed to simulate the heart rate in response to different physiological situations. Among these models, the integrating pulse frequency modulation (IPFM) model was frequently used to simulate the heartbeat generation [10,11]. Suppose that the modulation signal is m(t). When it is integrated to reach a threshold T, a heartbeat generates. The IPFM model is mathematically described as follows: