ZEUS:数值方法检测描述可激发介质的准粒子
Aaron Gobeyn1,2, Desmond Kabus1,3, Elena G Tolkacheva4
1KU Leuven Campus Kortrijk (KULAK), Department of Mathematics, Etienne Sabbelaan 53, 8500 Kortrijk, Belgium.
Chaos (Woodbury, N.Y.)
|December 2, 2025
概括
新的算法识别激发模式中的"头"和"尾",对于理解心脏组织等复杂系统中的传导块至关重要. 这有助于自动分析和对心律失常的分类.
科学领域:
- 计算生物学 计算生物学
- 复杂系统理论 复杂系统理论
- 心血管生理学心血管生理学
背景情况:
- 易刺激的介质,如心脏组织,容易发生导致心律失常的导电阻塞.
- 一个拓理论将"头"和"尾"确定为连接波前/波后和传导块的关键点.
- 这些点是激发模式内的拓学上保存的特征.
研究的目的:
- 引入强大的算法,用于在三角网格上的激发模式中自动定位头和尾.
- 提供可视化传导块及其相关拓特征的方法.
- 为了实现复杂刺激现象的自动分析和分类.
主要方法:
- 基于拓性质的算法开发,以检测基于拓性质的头和尾.
- 实施两种变体,取决于禁区的共同维度.
- 在顶点状态上使用比特式OR操作 (ZEUS方法) 划分为禁止 (Z),激发 (E) 和未激发 (U) 区域.
主要成果:
- 在模拟数据和子心脏记录中成功地定位了头和尾部.
- 导电块的可视化作为线条或延伸区域.
- 将ZEUS方法与经典相位奇点分析进行比较.
结论:
- 提出的ZEUS方法提供了强大的,自动识别拓保存点在激发模式.
- 这些算法增强了可刺激介质中传导块的分析.
- 公开可用的方法在各种复杂系统中促进了自动化分析和分类.
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