上肢动脉系统的三段式电网络建模与仿真
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国家自然科学基金资助项目 (50877082)


Modeling and simulation of the upper limb artery system using three section electric network model
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    摘要:

    根据弹性腔模型,建立了上肢动脉系统的三段式电网络模型。该模型以肱动脉血压波形为输入,采用状态空间分析法建立了电网络模型的空间状态方程组,并利用四阶龙格库塔方法对其进行数值求解,得到桡动脉的血压和血流波形。利用该电网络模型分析了正常和病理(动脉硬化和高血压)情况下对桡动脉脉搏波的影响。实验结果表明:该电网络模型的参数具有较好的生理意义;模型的求解计算精度较高,收敛快;能有效地对正常和病理情况下上肢动脉的血液动力学特征进行仿真。

    Abstract:

    A three section electric network model is built for human upper limb arterial system according to the Windkessel model. Blood pressure waveform of brachial artery is inputted into the electric network model. The state space equations of the electric network model are refined by using the state space analysis and solved numerically by the fourth order Runge Kutta method to obtain the blood pressure and flow waveform of radial artery. Effects of changes of the electric network model’s parameters on the blood pressure and flow waveform are also analyzed in normal and different pathological conditions(arteriosc lerosis and hypertension). The results of simulation show that the parameters of the model can well reflect the physiological significations of the upper limb arterial system; the analytic and computational methods are of fairly high precision and fast convergence for the model; and the model can simulate effectively the hemodynamic characteristics of upper limb arteries under normal and different pathological conditions.

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何为,肖汉光,刘兴华.上肢动脉系统的三段式电网络建模与仿真[J].重庆大学学报,2012,35(5):83-88.

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