Willis环状脑动脉瘤生物数学模型的渐近解  

Approximation Solutions in the Biomathematical Model of Aneurysm of Circle of Willis

作　　者：刘天一 万世栋[2] 

机构地区：[1]昆明师专数学系 [2]云南大学函授部数学教研室

出　　处：《昆明学院学报》1989年第1期9-16,共8页Journal of Kunming University

基　　金：云南省应用基础研究基金

摘　　要：本文研究了Willis环状脑动脉瘤的生物数学模型,在具有弱阻尼的条件下,求出了系统的渐近解,得出了在共振情形的频率响应方程,分析了频率响应曲线,以及外激动频率、振幅与共振频率、振幅之间的关系,为脑动脉瘤的肿大和破裂的研究提供了信息。In this paper, wc study the biomathematical model of aneurxsm of circle of willis. We obatin approximation solutions of the system under the condition of weak damping and the, frequency-response equation in resonance case. By using frequency-response curves, the relationship between the frequency and amplitude of response is analized. Therefore the informatios about the enlargement and rupture of aneurysm can be obtained.The result of this paper includes the result of Ref.

关 键 词：弱阻尼 外激励 共振 频率响应方程 渐近解 

分 类 号：G4[文化科学—教育学]