国际麻醉学与复苏杂志   2012, Issue (5): 5-5
    
吸气末平台通气的数学模型和计算机仿真
武栋, 赵嘉训1()
1.北京老年医院麻醉科
Mathematical model and Computer simulation of end-inspiratory plateau ventilation
 全文:
摘要:

目的:建立吸气末平台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、吸气末平台期、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)、肺泡压(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。

关键词: 吸气末平台,机械通气,数学模型,计算机仿真
Abstract:

Objective:To establish the mathematical model and computer simulation for the physical process of end-inspiratory plateau ventilation. Methods:The physical process of end-inspiratory plateau ventilation, which is divided into inspiratory phase, end-inspiratory pause phase, expiratory phase and end-expiratory phase, was analyzed to deduce mathematical functions, by using hydromechanics theory. Then simulation curves were carried out by computer based on the mathematical model. The simulated curves were compared with those which were from clinical monitoring. Results:The mathematical functions 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 gotten. The theory curves obtained by computer simulation were much the same as the workings curves from clinical monitoring. Conclusion:The mathematical model for the physical process of end-inspiratory plateau ventilation can be established undoubtedly. The computer simulation of model can reproduce the clinical working curves of some kinds of ventilators.

Key words: End-inspiratory plateau, Mechanical ventilation, Mathematical model, Computer simulation