融合弹性腔与弹性管模型的上肢血管系统建模仿真

Modeling Simulation of Upper Limb Vascular System Based on Fusion of Windkessel and Tube-Load Models

针对弹性管模型适用于模拟大中型动脉血管,不适用于模拟微小型动脉血管问题,对人体上肢血管系统建立一种弹性管与弹性腔融合模型,从而提高其模型的精度.首先分别在肱-桡动脉段建立弹性管模型,在桡-指动脉段建立弹性腔模型;然后在两模型的接触面处应用血管压力和血液流量的连续性原理,建立二者联系,导出融合模型;最后对比分析弹性管模型和弹性管与弹性腔融合模型的仿真性能.在PRD,H1,H2,t1和t 2评价指标下,弹性管与弹性腔融合模型(PRD:(4.0±2.0)%;t1:(2.5±1.7)%;t2:(3.1±1.9)%;H1:(1.9±2.1)%;H2:(1.3±1.3)%)的仿真波形和实测波形误差均低于弹性管模型(PRD:(16.5±8.3)%;t1:(3.4±2.4)%;t2:(4.5±3.7)%;H1:(22.1±14.9)%;H2:(19.7±15.3)%).结果表明,弹性管与弹性腔融合模型能够更精确地模拟人体上肢血管系统的生理状态.

In response to the problem that the tube-load model is suitable to simulate large and medium-sized arteries,not suitable to simulate small arteries and arterioles,the model combining windkessel model with tube-load model was established to improve the simulation accuracy for the human upper limb vascular system.Firstly,the tube-load model was applied to the simulation from brachial artery to radial artery,and the windkessel model was established in the section from radial artery to finger artery,respectively.Secondly,based on the continuity principle of blood pressure and blood flow in the interface of two models,the relationship of the two models was built and a fusion model was derived by combining the two models.Finally,the simulation performances of the tube-load model and the fusion model were compared.With the evaluation indexes,such as PRD,H 1,H 2,t 1 and t 2,the error between the measured waveform and the simulated waveform of the fusion model(PRD:(4.0±2.0)%;t 1:(2.5±1.7)%;t 2:(3.1±1.9)%;H 1:(1.9±2.1)%;H 2:(1.3±1.3)%)is lower than that of the tube-load model(PRD:(16.5±8.3)%;t 1:(3.4±2.4)%;t 2:(4.5±3.7)%;H 1:(22.1±14.9)%;H 2:(19.7±15.3)%).The results show that the fusion model can accurately simulate the physiological state in the human upper limb vascular system.