吸气末平台通气的数学模型和计算机仿真  

Mathematical model and computer simulation of end 4nspiratory plateau ventilation

作　　者：武栋[1] 赵嘉训[2] 

机构地区：[1]北京老年医院麻醉科,100095 [2]中华医学会山西省分会

出　　处：《国际麻醉学与复苏杂志》2012年第5期308-313,共6页International Journal of Anesthesiology and Resuscitation

基　　金：山西省科技厅攻关项目（042074-3）

摘　　要：目的建立吸气末平台（end-inspiratory plateau，EIP）通气物理过程的数学模型，并进行计算机仿真验证。方法运用流体力学的基本定理，对吸气期、EIP期、呼气期和呼气末期各阶段的物理过程进行力学分析并得出函数表达式。将其进行计算机仿真得到理论模拟曲线，并与相同条件下的临床实测曲线进行比较。结果得到机械通气过程中流速（v）、流量（Q）、肺容积（Vt）、肺泡乐（PA）、气道压（Paw）随时间（t）变化的函数表达式以及各函数相应的计算机模拟曲线。仿真系统的模拟曲线与同条件下的临床实测曲线非常逼近。结论数学模型成立，计算机仿真可再现部分通气机的临床工作曲线。Objective To establish the mathematical model for ventilation of the physical process of end-inspiratory plateau （EIP） and identify the computer simulation. Methods The physical process of EIP was divided into inspiratory phase, EIP phase, expiratory phase and end-expiratory phase, which was analyzed to deduce mathematical functions by hydromechanics theory. Computer simulation was carried out on the mathematical model and the simulated curves were compared with those of clinical monitoring. Results The mathematical functions and simulated curves of the flow velocity （v）, flow rate （Q）, pulmonary volume （Vt）, alveolar pressure （PA） and airway pressure （Paw） changing along with the time （t） during the mechanical ventilation process have been obtained. The simulated curves were similar to the working curves from clinical monitoring. Conclusions The mathematical model for ventilation of physical process of EIP was established successfully and the computer simulation can reproduce the clinical working curves of some kinds of ventilators.

关 键 词：吸气末平台 机械通气 数学模型 计算机仿真 

分 类 号：R614[医药卫生—麻醉学]