PARAMETER ESTIMATION OF NONLINEAR DIFFERENTIAL EQUATION MODELS OF RESPIRATORY SYSTEM BY USING NUMERICAL INTEGRATION TECHNIQUE
PARAMETER ESTIMATION OF NONLINEAR DIFFERENTIAL EQUATION MODELS OF RESPIRATORY SYSTEM BY USING NUMERICAL INTEGRATION TECHNIQUE
复制标题
利用数值积分技术估计呼吸系统非线性微分方程模型的参数
DOI：
10.3182/20060329-3-au-2901.00208
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
K. Wada
中科院分区：
文献类型：
--
作者：
S. Kanae;Kouji Maeda;Zi‐Jiang Yang;K. Wada
摘要肺弹性是确定机械通气机气压参数的重要依据，而气道阻力是诊断呼吸系统疾病的重要参数。本文提出了两类呼吸系统的二阶非线性微分方程模型。在第一类模型中，弹性系数表示为风量的多项式函数，而在第二类模型中，弹性系数表示为RBF网络。本文首先比较了基于多项式表达式的模型和基于RBF网络表达式的模型。其次，基于数值积分技术，推导出一种统一的估计算法。根据该算法，肺弹性和气道阻力可以直接从采样的测量数据的气道压力，空气流量和空气体积估计。最后，通过对实际临床数据的应用实例，验证了该算法的有效性.
Abstract Pulmonary elastance provides an important basis for deciding air pressure parameters of mechanical ventilators, and airway resistance is an important parameter in the diagnosis of respiratory diseases. The authors have proposed two types of second order nonlinear differential equation model of respiratory system. In the first type of model, elastic coefficient is expressed as polynomial function of air-volume, while in the second type of model, elastic coefficient is expressed by RBF network. In this paper, the polynomial expression based model and the RBF network expression based model are compared firstly. Secondly, a unified estimation algorithm is derived based on numerical integration technique. According to the proposed algorithm, the pulmonary elastance and the airway resistance can be directly estimated from sampled measurement data of airway pressure, air-flow and air-volume. Then, the proposed algorithm is validated by some examples of application to practical clinical data.