| Willis循环动脉瘤模型的进一步研究 |
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| 引用本文： | 刘文斌,牛华伟,刘笑颖,黄庆道. Willis循环动脉瘤模型的进一步研究[J]. 吉林大学学报(理学版), 2006, 44(6): 863-868 |
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| 作者姓名： | 刘文斌 牛华伟 刘笑颖 黄庆道 |
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| 作者单位： | 中国矿业大学,数学系,江苏省,徐州,221008;徐州师范大学,数学系,江苏省,徐州,221008;吉林大学,数学学院,长春,130012 |
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| 摘 要： | 利用上下解方法和迭合度理论证明了人体血流Willis循环动脉瘤模型方程至少存在3个周期解, 并给出解的范围, 数值分析表明, 所得结果推广了已有的一些工作, 并解释了相关医学现象.
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| 关 键 词： | 动脉瘤 迭合度 多个周期解 |
| 文章编号： | 1671-5489(2006)06-0863-06 |
| 收稿时间： | 2006-02-07 |
| 修稿时间： | 2006-02-07 |
Advanced Research of the Model of Aneurysms of the Circle of Willis |
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| 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]. Journal of Jilin University: Sci Ed, 2006, 44(6): 863-868 |
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| Authors: | LIU Wen-bin NIU Hua-wei LIU Xiao-ying HUANG Qing-dao |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | aneurysm coincidence degree multiplicity periodic solutions |
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