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arXiv physics/0301055physics.bio-phphysics.med-phq-bio
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偏头痛的分形刚度

Fractal Rigidity in Migraine

Miroslaw Latka, Marta Glaubic-Latka, Dariusz Latka, Bruce J. West

摘要:

应用经颅多普勒超声(TCD)对人大脑中动脉血流速度(MCAfv)进行研究。在心跳间隔上平均的轴向流速的时间序列的标度特性可以由两个指数表征。短时标度指数(STSE)决定了血流速度在短时间间隔内波动的统计特性,而Hurst指数描述了长期分形特性。在许多偏头痛患者中,STSE的值显著降低,并可能接近赫斯特指数。动力学特性的这种变化反映了潜在脑血流控制系统短期适应性的显著丧失和整体超兴奋性。我们称这种效应为分形刚性。

英文摘要:

We study the middle cerebral artery blood flow velocity (MCAfv) in humans using transcranial Doppler ultrasonography (TCD). Scaling properties of time series of the axial flow velocity averaged over a cardiac beat interval may be characterized by two exponents. The short time scaling exponent (STSE) determines the statistical properties of fluctuations of blood flow velocities in short-time intervals while the Hurst exponent describes the long-term fractal properties. In many migraineurs the value of the STSE is significantly reduced and may approach that of the Hurst exponent. This change in dynamical properties reflects the significant loss of short-term adaptability and the overall hyperexcitability of the underlying cerebral blood flow control system. We call this effect fractal rigidity.

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