Abstract
The dynamic relationship between spontaneous fluctuations of arterial blood pressure (ABP) and corresponding changes in crebral blood flow velocity (CBFV) is studied in a population of 83 neonates. Static and dynamic methods are used to identify two subgroups showing either normal (group A, n=23) or impaired (group B, n=21) cerebral autoregulation. An FFT algorithm is used to estimate the coherence and transfer function between CBFV and ABP. The significance of the linear dependence between these two variables in demonstrated by mean values of squared coherence >0.50 for both groups in the frequency range 0.02–0.50 Hz. However, group A has significanlty smaller coherences than group B in the frequency ranges 0.02–0.10 Hz and 0.33–0.49 Hz. The phase response of group A is also significantly more positive than that of group B, with slopes of 9.3±1.05 and 1.80±1.2 rad Hz−1, respectively. The amplitude frequency response is also significantly smaller for group A in relation to group B for the frequency range 0.25–0.43 Hz. These results suggest that transfer function analysis may be able to identify different components of cerebral autoregulation and also provide a deeper understanding of recent findings by other investigators.
Similar content being viewed by others
Abbreviations
- ν(n):
-
time-domain sequence of CBFV values
- p(n) :
-
time-domain sequence of ABP values
- V 0 :
-
mean value of CBFV
- P 0 :
-
mean value of ABP
- R 0 :
-
mean value of resistance-area product
- V(f) :
-
Fourier transform ofv(n)
- P(f) :
-
Fourier transform ofp(n)
- G pv(f) :
-
cross-spectrum betweenV(f) andP(f)
- G xx(f):
-
power spectrum of CBFV or ABP
- γ2(f):
-
coherence function
- H(f) :
-
transfer function
- H R(f) :
-
real part ofH(f)
- |H(f)|:
-
frequency response of transfer function (amplitude)
- ϕ(f):
-
phase of frequency response
- h pv(n):
-
impulse response ofv(n) with inputp(n)
References
Aaslid, R. (1987): ‘Visually evoked dynamic blood flow response of the human cerebral circulation’,Stroke,18, pp. 771–775
Aaslid, R., Lindegard, K. F., Sorteberg, W., andNornes, H. (1989): ‘Cerebral autoregulation dynamics in humans’,Stroke,20, pp. 45–52
Bendat, J. S. andPiersol, A. G. (1986): ‘Random data analysis and measurement procedures (John Wiley & Sons, 2nd edn., New York)
Birch, A. A., Dirnhuber, M. J., Hartley-Davies, R., Iannotti, F., andNeilDwyer, G. (1995): ‘Assessment of autoregulation by means of periodic changes in blood pressure’,Stroke,26, pp 834–837
Cohen, J. (1960): ‘A coefficient of agreement for nominal scales’,Educ. Psychol. Meas.,XX, pp. 37–46
DeBoer, R. W., Karemaker, J. M., andStrackee, J. (1985): ‘Relationships between short-term blood-pressure fluctuations and heart-rate variability in resting subjects. I: a spectral analysis approach’,Med. Biol. Eng. Comput.,23, pp. 352–358
Dewey, R. C., Pieper, H. P., andHunt, W. E. (1974): ‘Experimental cerebral hemodynamics. Vasomotor tone, critical closing pressure, and vascular bed resistance’,J. Neurosurg.,41, pp. 597–606
Diehl, R. R., Linden, D., Lucke, D. andBerlit, P. (1995): ‘Phase relationship between crebral blood flow velocity and blood pressure. A clinical test of autoreguation’,Stroke,26, pp. 1801–1804.
DiRienzo, M., Castiglioni, P., Parati, G., Mancia, G., andPedotti, A. (1996): ‘Effects of sino-aortic denervation on spectral characteristics of blood pressure and pulse interval variability: a wide-band approach’,Med. Biol. Eng. Comput.,34, pp. 133–141
Evans, D. H., Levene, M. I., Shortland, D. B. andArcher, L. N. (1988): ‘Resistance index, blood flow velocity, and resistance area product in the cerebral arteries of very low birth weight infants during the first week of life’,Ultrasound Med. Biol.,14, pp. 103–110
Evans, D. H., Schlindwein, F. S., andLevene, M. I. (1989): ‘An automatic system for capturing and processing ultrasonic Doppler signals and blood pressure signals’,Clin. Phys. Physiol. Meas.,10, pp. 241–251
Fisher, R. A. (1948): ‘Combining independent tests of significance’,Am. Statistician,2, p. 30
Giller, C. A. (1990): ‘The frequency-dependent behavior of cerebral autoregulation’,Neurosurgery,27, pp. 362–368
Jorch, G. andJorch, N. (1987): ‘Failure of autoregulation of cerebral blood flow in neonates studies by pulsed Doppler ultrasound of the internal carotid artery’,Eur. J. Pediatr.,146, pp. 468–472
Newell, D. W., Aaslid, R., Lam, A., Mayberg, T. S. andWinn, H. R. (1994): ‘Comparison of flow and velocity during dynamic autoregulation testing in humans’,Stroke,25, pp. 793–797
Panerai, R. B., Coughtrey, H., Rennie, J. M. andEvans, D. H. (1993): ‘A model of the instantaneous pressure-velocity relationships of the neonatal cerebral circulation’,Physiol. Meas.,14, pp. 411–418
Panerai, R. B., Kelsall, A. W. R., Rennie, J. M. andEvans, D. H. (1995): ‘Cerebral autoregulation dynamics in premature newboms’,Stroke,26, pp. 74–80
Panerai, R. B., Kelsall, A. W. R., Rennie, J. M. andEvans, D. H. (1996): ‘Analysis of cerebral blood flow autoregulation in neonates’,IEEE Trans.,BME-43, pp. 779–788
Paulson, O. B., Strandgaard, S. andEdvinson, L. (1990): ‘Cerebral autoregulation’,Cerebrovasc. Brain Metab. Rev.,2, pp. 161–192
Reynolds, K. J., Panerai, R. B., Kelsall, A. W. R., Rennie, J. M. andEvans, D. H. (1997): ‘Spectral pattern of neonatal cerebral flow velocity: comparison with spectra from blood pressure and heart rate’,Pediatric Res.,41, pp. 276–284
Schlindewin, F. S., Smith, M. J. andEvans, D. H. (1988): ‘Spectral analysis of Doppler signals and computation of the normalized first moment in real time using a digital signal processor’,Med. Biol. Eng. Comput.,26, pp. 228–232
Sitzer, M., Knorr, U. andSeitz, R. J. (1994): ‘Cerebral hemodynamics during sensorimotor activation in humans’,J. Appl. Physiol.,77, pp. 2804–2811
Steiger, H. J., Aaslid, R., Stoos, R. andSeiler, R. W. (1994): ‘Transcranial Doppler monitoring in head injury: relations between type of injury, flow velocities, vasoreactivity, and outcome’,Neurosurgery,34, pp. 79–86
Symon, L., Held, K. andDorsch, N. W. S. (1973): ‘A study of regional autoregulation in the cerebral circulation to increased perfusion pressure in normocapnia and hypercapnia’,Stroke,4, pp. 139–147
Tieks, F. P., Lam, A. M., Aaslid, R. andNewell, D. W. (1995a): ‘Comparison of static and dynamic cerebral autoregulation measurements’,Stroke,26, pp. 1014–1019
Tiecks, F. P., Lam, A. M., Matta B. F., Strebel, S., Douville, C. andNewell, D. W. (1995b): ‘Effects of the Valsalva maneuver on cerebral circulation in health adults. A transcranial Dopplelr study’,Stroke,26, pp. 1386–1392
Zernikow, B., Michel, E., Kohlmann, G., Steck, J., Schmitt, R. M. andJorch, G. (1984): ‘Cerebral autoregulation of preterm neonates— a non-linear control system?’Arch. Dis. Child.,70, pp. F166-F173
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Panerai, R.B., Rennie, J.M., Kelsall, A.W.R. et al. Frequency-domain analysis of cerebral autoregulation from spontaneous fluctuations in arterial blood pressure. Med. Biol. Eng. Comput. 36, 315–322 (1998). https://doi.org/10.1007/BF02522477
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02522477