依据菲克第一定律、玻意耳定律及道尔顿气体分压定律,建立微泡内外气体交换的数学模型。通过理论推导和计算机模拟,研究微泡在不同条件下对机体的肺部、动脉系统及其周围组织等不同部位微循环中气体交换的影响。理论分析结果显示,O2、CO2及N2在三个部位都呈现为由内向外的弥散过程,且在正常呼吸条件下,超声造影剂微泡不会对周围组织微循环的气体交换产生有效的生理作用。而在吸氧35%或70%的条件下,微泡的携氧量明显增加,对三个部位局部周围组织微循环的气体交换产生一定影响。
Microbubbles have been used in ultrasound contrast imaging for over 10 years. However, influence of microbubbles for gas exchange is still difficult to know. The modelling of the gas exchange procedures between microbubble and tissue is further complicated because of incomplete understanding of the processes that determine bubble formation. Therefore, the authors introduced a new model for describing the exchange of inert gas between tissues and blood based on distributed capillary units or lumped compartments, either of which may be perfusion- or diffusion-limited. According to the Fick theory, Boyle law and Dalton law, the mathematical model for gas exchange in micorobubble was made. Three different positions for gas exchange at normal condition and high oxygen pressure were simulated by Matlab5.0. The theory results indicate that for normal condition, O2, CO2 and N2 have the similar dynamic process at different positions. For high O2 pressure condition, high O2 volume was carried to tissue by micorobubble, and large volume of microbubble plus high O2 pressure may produce available local gas physiological effects.