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Willis环状脑动脉瘤生物数学模型的渐近解
引用本文:刘天一,万世栋. Willis环状脑动脉瘤生物数学模型的渐近解[J]. 昆明师范高等专科学校学报, 1989, 0(1)
作者姓名:刘天一  万世栋
作者单位:昆明师专数学系,云南大学函授部数学教研室
基金项目: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。

关 键 词:弱阻尼  外激励  共振  频率响应方程  渐近解

Approximation Solutions in the Biomathematical Model of Aneurysm of Circle of Willis
Liu Tianyi. Approximation Solutions in the Biomathematical Model of Aneurysm of Circle of Willis[J]. Journal of Kunming Teachers College, 1989, 0(1)
Authors:Liu Tianyi
Abstract: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.
Keywords:weak damp   external excitation   resonance   frequency response equation   approximation solution.
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