论文标题
两个状态延迟微分方程对人呼吸系统建模的参数估计
Parameter estimation of a two state delay differential equation modeling the human respiratory system
论文作者
论文摘要
我们研究了两个状态模型的参数估计，该模型描述了人类呼吸系统中二氧化碳和氧的平衡方程。这些是非线性参数依赖性的，并且由于呼吸控制系统的传输延迟，它们以延迟微分方程为模型。生成数值模拟的嘈杂数据，并使用Levenberg-Marquardt和Trust-Region算法研究了几个示例，以确定未知参数的值。
We study parameter estimation for the two state model which describes the balance equation for carbon dioxide and oxygen in human respiratory system. These are nonlinear parameter dependent and because of the transport delay in the respiratory control system, they are modeled with delay differential equation. Numerically simulated noisy data are generated and several examples are studied with Levenberg-Marquardt and Trust-region algorithms to determine the values of unknown parameters.
