Willis循环动脉瘤模型的进一步研究

Advanced Research of the Model of Aneurysms of the Circle of Willis

LIU Wenbin¹, NIU Huawei¹, LIU Xiaoying², HUANG Qingdao³

1. Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, Jiangsu Province, China;2. Department of Mathematics, Xuzhou Normal University, Xuzhou 221008, Jiangsu Province, China;3. College of Mathematics, Jilin Universtiy, Changchun 130012, China

Received:2006-02-07 Revised:1900-01-01 Online:2006-11-26 Published:2006-11-26
Contact: LIU Wenbin

Abstract

Abstract: It was improved with the lower and upper method and the coincidence degree theory that there exist at least three periodic solutions for the model of aneurysm of the circle of Willis. And the domain of the solutions was given. Some known conclusions are improved. At last, we used numerical experiments to confirm the theoretical results. The theoretical results could help us to understand more aspects of aneurysm of the circle of Willis.

Key words: aneurysm, coincidence degree, multiplicity periodic solutions

CLC Number:

O175.8

LIU Wenbin, NIU Huawei, LIU Xiaoying, HUANG Qingdao. Advanced Research of the Model of Aneurysms of the Circle of Willis[J].J4, 2006, 44(06): 863-868.

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Advanced Research of the Model of Aneurysms of the Circle of Willis

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