应用于血管顺应性评估的高阶Windkessel模型研究

Research on High-order Windkessel Model for Assessing Vascular Compliance

本研究提出了五阶Windkessel心血管弹性腔模型的构建方法,给出了该模型完整的数学求解过程,基于舒张期脉搏波形分析方法,进行模型参数的数学推导,从而得到动脉顺应性、血流惯性以及外周阻力等参数计算值。本研究采用仿真技术评估了高阶Windkessel模型的效果:用模型计算所得的参数R、C和L建立仿真电路,将左心室每搏输出血量作为模型输入,应用仿真软件得到电路末端波形信号,并估计其与实测脉搏波形的一致程度。结果表明,高阶Windkessel模型在脉搏波拟合效果上优于三阶Windkessel模型,而且稳定性良好,更好地表征了微血管在循环系统中的作用。

In this paper,we propose the construction of a fifth-order Windkessel model,and give complete mathematical solutions for this model.Utilizing the diastolic pulse wave analytical methods,we derived the parameters of the mathematical model.The parameters were further applied to estimate arterial compliance,blood flow inertia,peripheral resistance and other indices.With simulation tools we assess the validity of the model,and built a simulation circuit with the model parameters R,C and L.The model parameters were obtained from the high-order Windkessel model.The stroke volume of left ventricle is employed as the input of the simulation circuit.At the end of the circuit,the responding signal was gained.And it in turn was compared with the measured pulse waveform.The results show that the fifth-order Windkessel model is superior to the third-order Windkessel model in the pulse wave fitting and stability,and thus better reflects the role of microvessles in the circulatory system.