Revealing bistability in neurological disorder models by solving parametric polynomial systems geometrically
文献类型：会议论文
| 作者 | Chen, Changbo1,2; Wu, Wenyuan1,2
|
| 出版日期 | 2018 |
| 会议日期 | September 16, 2018 - September 19, 2018 |
| 会议地点 | Suzhou, China |
| DOI | 10.1007/978-3-319-99957-9_11 |
| 页码 | 170-180 |
| 英文摘要 | Understanding the mechanisms of the brain is a common theme for both computational neuroscience and artificial intelligence. Machine learning technique, like artificial neural network, has been benefiting from a better understanding of the neuronal network in human brains. In the study of neurons, mathematical modeling plays a vital role. In this paper, we analyze the important phenomenon of bistability in neurological disorders modeled by ordinary differential equations in virtue of our recently developed method for solving bi-parametric polynomial systems. Unlike the algebraic symbolic approach, our numeric method solves parametric systems geometrically. With respect to the classical bifurcation analysis approach, our method naturally has good initial points thanks to the critical point technique in real algebraic geometry. Special heuristic strategies are proposed for addressing the multiscale problem of parameters and variables occurring in biological models, as well as taking into account the fact that the variables representing concentrations are non-negative. Comparing with its symbolic algebraic counterparts, one merit of this geometrical method is that it may compute smaller boundaries. © 2018, Springer Nature Switzerland AG. |
| 会议录 | 13th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2018
 |
| 语种 | 英语 |
| 电子版国际标准刊号 | 16113349 |
| ISSN号 | 03029743 |
| 源URL | [http://119.78.100.138/handle/2HOD01W0/7979]  |
| 专题 | 自动推理与认知研究中心 |
| 作者单位 | 1.Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing, China; 2.University of Chinese Academy of Sciences, Beijing, China |
| 推荐引用方式 GB/T 7714 | Chen, Changbo,Wu, Wenyuan. Revealing bistability in neurological disorder models by solving parametric polynomial systems geometrically[C]. 见:. Suzhou, China. September 16, 2018 - September 19, 2018. |
入库方式： OAI收割
来源：重庆绿色智能技术研究院
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