Bracic M, Stefanovska A
University of Ljubljana, Faculty of Electrical Engineering, Laboratory of Nonlinear Dynamics and Synergetics, Slovenia.
Bull Math Biol. 1998 May;60(3):417-33. doi: 10.1006/bulm.1997.0007.
In order to gain an insight into the dynamics of the cardiovascular system throughout which the blood circulates, the signals measured from peripheral blood flow in humans were analyzed by calculating the Lyapunov exponents. Over a wide range of algorithm parameters, paired values of both the global and the local Lyapunov exponents were obtained, and at least one exponent equaled zero within the calculation error. This may be an indication of the deterministic nature and finite number of degrees of freedom of the cardiovascular system governing the blood-flow dynamics on a time scale of minutes. A difference was observed in the Lyapunov dimension of controls and athletes.
为了深入了解血液循环所经过的心血管系统的动力学，通过计算李雅普诺夫指数来分析从人体外周血流测量得到的信号。在广泛的算法参数范围内，获得了全局和局部李雅普诺夫指数的成对值，并且在计算误差范围内至少有一个指数等于零。这可能表明在分钟时间尺度上控制血流动力学的心血管系统具有确定性本质和有限数量的自由度。在对照组和运动员的李雅普诺夫维数上观察到了差异。
