Shirai Atsushi, Suzuki Takuya, Seki Takashi
Institute of Fluid Science, Tohoku University, Miyagi, Japan.
Graduate School of Biomedical Engineering, Tohoku University, Miyagi, Japan.
Integr Med Res. 2015 Sep;4(3):161-170. doi: 10.1016/j.imr.2015.06.003. Epub 2015 Jul 6.
The aim of this study was to develop a mathematical model of blood flow in the systemic circulation to emulate the change in hemodynamics by acupuncture therapy to elucidate the mechanism of the therapy. For this purpose, as a first step, a simple model of arterial blood flow was presented to reproduce previously reported change in the blood flow volume by the acupuncture needle stimulation of Taichong (LR-3).
This model was based on the lumped-parameter approximation of arterial blood flow together with linear resistance of peripheral circulation. It has been reported that blood flow in the left arm was enhanced after the stimulation, yielding the peripheral vascular resistance-regulated blood flow dominated by the sympathetic nervous system. In addition to the peripheral resistance, another parameter that possibly regulates the blood flow is the cross-sectional area of the vessel. These two factors were changed to numerically examine their contributions to the blood flow based on the hypothesis that they could be changed by the stimulation. The numerical result was compared with the experimental result to confirm the validity of the hypothesis that the blood flow in the arm is regulated by the peripheral resistance.
This model is extremely simple and the physical parameters introduced for the simulation were gleaned from different reports in the literature. It was demonstrated, however, that regulation of the peripheral resistance rather than of the cross-sectional area could reproduce the experimentally observed change in the blood flow. Moreover, the relationship between the changes in the flow volume and the systemic vascular resistance quantitatively matched the experimental data.
The present model has a potential to emulate hemodynamic change by acupuncture therapy by incorporating physiological correlation of stimulation of an acupoint and regulation of parameters that affect the hemodynamics.
本研究旨在建立一个体循环血流的数学模型,以模拟针刺疗法引起的血流动力学变化,从而阐明该疗法的机制。为此,作为第一步,提出了一个简单的动脉血流模型,以再现先前报道的针刺太冲穴(LR-3)引起的血流量变化。
该模型基于动脉血流的集总参数近似以及外周循环的线性阻力。据报道,刺激后左臂血流量增加,产生由交感神经系统主导的外周血管阻力调节的血流。除了外周阻力外,另一个可能调节血流的参数是血管的横截面积。基于它们可能因刺激而改变的假设,改变这两个因素以数值方式研究它们对血流的贡献。将数值结果与实验结果进行比较,以确认手臂血流受外周阻力调节这一假设的有效性。
该模型极其简单,模拟中引入的物理参数取自文献中的不同报道。然而,结果表明,调节外周阻力而非横截面积可以再现实验观察到的血流变化。此外,血流量变化与全身血管阻力之间的关系在数量上与实验数据相符。
通过纳入穴位刺激的生理相关性以及影响血流动力学的参数调节,本模型具有模拟针刺疗法血流动力学变化的潜力。