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 [2]云南大学

出　　处：《生物数学学报》1989年第1期21-28,共8页Journal of Biomathematics

基　　金：云南省应用基础研究基金

摘　　要：一、引言 G. Austin在1971年制作了模拟脑动脉瘤的物理装置实验,用一个模拟电路来描述动脉瘤内血液的流动状态,得出了一个数学模型。文[2]对文[1]的模拟电路再进行分析,归结出较文[1]完善的数学模型。In this paper, we study the biomathematical model of aneurysm of circle of Willis.We obatin approximation solutions of the system under the condition of weak dimping and the frequency-response equation in resonance case. By using frequency-response curves, the relationship between the frequency and amplitude of response is analized.The frequency and amplitud of response is analized. Therefore the information about the enlarsement and rupture of aneurysm can be obtained. The result of this paper includes the result of Ref

关 键 词：脑动脉瘤 生物数学模型 渐近解 

分 类 号：R311[医药卫生—基础医学]