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

作　　者：闫妍[1] 佟倜[2] 孙媛媛[3] 单桂晔[1] 孙迎春[1] YAN Yan;TONG Ti;SUN Yuan-yuan;SHAN Gui-ye;SUN Ying-chun(National Demonstration Center for Experiment Physics Education,School of Physics,Northeast Normal University,Changchun 130024,China;Department of Thoracic Surgery,Second Hospital of J ilin University,Changchun 130041,China;International Exchange College,Changehun Vocational Institute of Technology,Changehun 130033,China)

机构地区：[1]东北师范大学物理学院国家级物理实验教学中心,吉林长春130024 [2]吉林大学第二医院胸外科,吉林长春130041 [3]长春职业技术学院国际交流学院,吉林长春130033

出　　处：《东北师大学报（自然科学版）》2018年第3期94-99,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11174047)

摘　　要：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.

关 键 词：呼吸系统 非线性 动力学模型 周期 倍周期 混沌 

分 类 号：O41[理学—理论物理]