在驱动-响应马可维斯跳跃布尔网络中进行非对称同步分析
IEEE transactions on computational biology and bioinformatics
|August 14, 2025
概括
这项研究提出了在马科维亚跳跃布尔网络 (MJBNs) 中实现非对称同步的新标准. 这些方法利用代数状态空间表示来进行增强的网络稳定性分析.
科学领域:
- 控制理论 控制理论
- 网络科学 网络科学
- 随机系统 随机系统 随机系统
背景情况:
- 布尔网络 (BNs) 是系统生物学和离散动态系统中的基本模型.
- 马科维斯跳跃布尔网络 (MJBNs) 引入随机性和模式切换,使分析复杂化.
- 非对称同步对于复杂网络中的协调行为至关重要.
研究的目的:
- 为驱动响应MJBNs的非对称同步制定有效的标准.
- 从决定性的BN调整到更复杂的MJBN框架的同步技术.
- 建立一种可靠的方法来分析随机交换网络中的集稳定性.
主要方法:
- 使用MJBNs的代数状态空间表示.
- 引入一个增强变量来将同步转换为一个非对称的集合稳定性问题.
- 开发基于随机过程,不变子集和单一值分析的标准.
主要成果:
- 开发了两个新的标准,用于识别非负的解决方案和评估MJBNs中的集稳定性.
- 两个拟议的标准之间的等价性被数学证明.
- 证明MJBNs的标准比确定性BN的标准更复杂.
结论:
- 拟议的标准为分析MJBNs中的非对称同步提供了一个严格的框架.
- 这些方法为理解和控制复杂的随机网络提供了有价值的工具.
- 数字示例证实了开发的理论概念的实际适用性和有效性.
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