Assessment of Biological Effect of Minimal Acupuncture Using Causal Coherence Function between Blood Pressure and Heart Rate

To assess the effect of acupuncture on the human, 17 healthy volunteers participated in a double-blind randomized crossover clinical trial using real-needle and no-needle seals. In this study, by using systolic blood pressure variability (SBP) and heart rate variability (HR), not only coherence function (K
²
) between SBP and HR but also two causal coherence functions: K
²

_SBPrarrHR
from SBP to HR and K
²

_HRrarrSBP
from HR to SBP were introduced to divide causal linearity of the cardiovascular system regarded as a closed-loop system. K
²
represents total linearity of the system. K
²

_SBPrarrHR
and K
²

_HRrarrSBP
correspond to the baroreflex system and the mechanical hemodynamics, respectively. The results showed that K
²

_SBPrarrHR
over the low frequency band (0.04-0.15 Hz) underwent a lot of change in real-needle acupuncture but did not in no-needle acupuncture. And there was difference in K
²

_HRrarrSBP
over the high frequency band (0.15-0.45 Hz) immediately after the stimulation of acupuncture. These results have never been obtained from conventional methods dealing with a cardiovascular system as an open-loop system