Abstract
Cerebral blood flow velocity(CBFV) is an important parameter for study of cerebral hemodynamics. However, a simple and highly similar mathematical model has not yet been established for analyzing CBFV. To alleviate this issue, through TCD examination in 100 geriatric patients with suspected cerebrovascular disease (46 males and 54 females), we established a representative eighth-order Fourier function Vx(t) that simulates the CBFV. The measured TCD waveforms were compared to those derived from Vx(t), an illustrative Kolmogorov-Smirnov test was employed to determine the validity. The results showed that the TCD waves could been reconstructed for patients with different CBFVs by implementing their variable heart rates and the formulated maximum/minimum of Vx(t). Comparisons between derived and measured TCD waveforms suggest that the two waveforms are very similar. The results confirm that CBFV can be well-modeled through an eighth-order Fourier function. This function Vx(t) can be used extensively for a prospective study of cerebral hemodynamics in geriatric patients with suspected cerebrovascular disease.
Highlights
Cerebrovascular disease has become the second leading cause of death and the leading cause of adult disability worldwide[1,2]
Up this study to investigate whether the mathematical model could be used to simulate the CBFV in geriatric patients with suspected cerebrovascular disease
Comparative analysis of the 9 waves received from a single patient illustrated that eventhough the 9 Transcranial Doppler (TCD) waves were characterized with similar rhythms, they were subjected to exhibit miniature differences in the maximum and minimum
Summary
Cerebrovascular disease has become the second leading cause of death and the leading cause of adult disability worldwide[1,2]. Previous studies on the cerebrovascular Computational Fluid Dynamics (CFD) chose peripheral vascular blood flow velocity functions as an alternative method for investigating the cerebral blood flow[9,10]. These functions are too regular to completely apply to CBFV, and could lead to inevitable potential calculation errors. We had successfully established an eighth-order Fourier function which highly fitted cerebral perfusion pressure (CPP) in geriatric patients with suspected cerebrovascular disease[11]. Since both CBFV and CPP are periodic waves based on similar mathematical methods, we set www.nature.com/scientificreports/. Up this study to investigate whether the mathematical model could be used to simulate the CBFV in geriatric patients with suspected cerebrovascular disease
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