人体肺呼吸非线性动力学模型的构建及求解

The construction and solution of the nonlinear dynamic model of the human lungs

基于对人体生理结构及临床实验结果的分析,并考虑呼吸系统中各参量的调节控制以及相互作用机理,建立了人体肺呼吸系统的非线性动力学模型.借助MATLAB计算平台求解出此模型的周期振荡解、倍周期解和混沌解.结果表明,模拟实验与临床实验数据相吻合,证明此模型是合理的.

This paper builds a nonlinear dynamic model of a human respiratory system,in comprehensive consideration of the interactions and mechanism of parameters in the respiratory system for the first time.Then using the MATLAB computing platform to solve the periodic oscillation solution,multiplied periodic solution and chaotic solution of this model.The simulation results are consistent with the experimental data,so the model is reasonable.