Hf. Visee et al., THE PHYSIOLOGICAL AND CLINICAL-SIGNIFICANCE OF NONLINEAR TCD WAVE-FORM ANALYSIS IN OCCLUSIVE CEREBROVASCULAR-DISEASE, Neurological research, 17(5), 1995, pp. 384-388
In order to compare the results of nonlinear analysis of hemodynamical
ly compromised and noncompromised cerebral circulations we measured co
nsecutive transcranial Doppler (TCD) waveforms of fourteen patients wi
th a unilateral or bilateral occlusion of the internal carotid artery.
The cerebral vasomotor reactivity (VMR) to acetazolamide in both midd
le cerebral artery (MCA) territories was established by using TCD. Con
ventional TCD data and nonlinear TCD analysis of data were compared. N
onlinear analysis of the TCD rime series suggested dynamical chaos bas
ed on the fractal dimension of the TCD curve and the positive Lyapunov
exponents in the compromised and noncompromised MCA territories. In t
he areas with the compromised circulation the positive Lyapunov expone
nts were significantly lower compared to the noncompromised side and i
n some cases with a negative VMR, the Lyapunov exponent was almost zer
o. The latter is suggestive for periodic behavior of the impaired cere
bral circulation instead of the dynamical chaos which is found under n
ormal conditions. The TCD time series of a hemodynamic compromised cer
ebral territory not only shows phenomena related to a decreased perfus
ion pressure (such as a 'damped waveform') but also phenomena which ar
e related to a more prominent periodicity. We speculate that conventio
nal and nonlinear TCD analysis could be used to determine the VMR.