R. Zhang et al., TRANSFER-FUNCTION ANALYSIS OF DYNAMIC CEREBRAL AUTOREGULATION IN HUMANS, American journal of physiology. Heart and circulatory physiology, 43(1), 1998, pp. 233-241
To test the hypothesis that spontaneous changes in cerebral blood flow
are primarily induced by changes in arterial pressure and that cerebr
al autoregulation is a frequency-dependent phenomenon, we measured mea
n arterial pressure in the finger and mean blood flow velocity in the
middle cerebral artery (V-MCA) during supine rest and acute hypotensio
n induced by thigh cuff deflation in 10 healthy subjects. Transfer fun
ction gain, phase, and coherence function between changes in arterial
pressure and V-MCA were estimated using the Welch method. The impulse
response function, calculated as the inverse Fourier transform of this
transfer function, enabled the calculation of transient changes in V-
MCA during acute hypotension, which was compared with the directly mea
sured change in V-MCA during thigh cuff deflation. Beat-to-beat change
s in V-MCA occurred simultaneously with changes in arterial pressure,
and the autospectrum of V-MCA showed characteristics similar to arteri
al pressure. Transfer gain increased substantially with increasing fre
quency from 0.07 to 0.20 Hz in association with a gradual decrease in
phase. The coherence function was >0.5 in the frequency range of 0.07-
0.30 Hz and <0.5 at <0.07 Hz. Furthermore, the predicted change in V-M
CA was similar to the measured V-MCA during thigh cuff deflation. Thes
e data suggest that spontaneous changes in V-MCA that occur at the fre
quency range of 0.07-0.30 Hz are related strongly to changes in arteri
al pressure and, furthermore, that short-term regulation of cerebral b
lood flow in response to changes in arterial pressure can be modeled b
y a transfer function with the quality of a high-pass filter in the fr
equency range of 0.07-0.30 Hz.