复外周阻力弹性腔模型——活体动脉顺应性测量的重新讨论

COMPLEX PERIPHERAL RESISTANCE ARTERIAL WINDKESSEL MODEL——REDISCUSSION ON COMPUTATION METHOD OF ARTERIAL COMPLIANCE IN LIVING BODY

因为与细小动脉和毛细血管内血液总和流动近似为定常流的已知基本实验观察事实矛盾,动脉系统的弹性腔模型理论的传统的描述方程,和在此基础上推导的动脉顺应性C的传统活体检测的计算方法都是错误的。因此,本研究引入复数型外周阻力R_μ+jwL_μ取代传统的实数型外周阻力R,用于描述入口为脉动压力波、流量波,出口为近似定常流的血管床复数型外周阻力弹性腔模型,导出了新的弹性腔模型的微分方程。本研究对新方程略作简化,建立一种基于最小二乘法的动脉顺应性C(p)的新的活体测量计算方法,并推导了简化的顺应性的近似计算公式,讨论了在相应的特定条件下与传统模型动脉顺应性的计算公式的差别。

Considering the contradiction with the known fact that the blood flow in small ar-terioles and capillary vessels is very similar to constant flow, both the differential equation of the traditional Arterial Windkessel Model and the previous computation method for arterial compliance in the living body seem to be incorrect.In the article a complex peripheral resistance R? + jwL^ is drawn to replace the previous peripheral resistance R , describing the Complex Peripheral Resistance Arterial Windkessel Model as a model with pulsing blood pressure wave and blood flow wave as its input and constant blood flow as its output. The differential equation of the new windkessel model is put forward.By making a small simplification a new computational method for compliance in living body is developed based upon the approach of smallest square sum of residues. Furthermore, the simpler formulas are developed to compute arterial compliance in living body and the difference between the new and previous mo.del under the same conditions is discussed.