格子结构是对监管网络动态进行参数化的
1Montana State University, Bozeman, 59717, MT, USA.
Mathematical biosciences
|June 12, 2024
概括
本研究构建了监管网络的所有兼容布尔图和切换普通微分方程模型. 这些发现使得使用单调布尔函数 (MBF) 格子来列举潜在的网络动态.
科学领域:
- 系统生物学 系统生物学
- 计算生物学 计算生物学
- 网络科学 网络科学
背景情况:
- 监管网络动态对于理解细胞过程至关重要.
- 布尔图和切换普通微分方程是常见的建模方法.
- 指向签名图表表示网络交互.
研究的目的:
- 构建与给定的监管网络结构兼容的所有布尔图和切换ODE模型.
- 探索这些模型的基础上的数学结构,特别是单调布尔函数 (MBF) 的格子.
- 为了实现对监管网络的潜在动态行为的列举.
主要方法:
- 考虑单调布尔函数 (MBF) 的格子和非退化的MBF的组.
- 这些设置的明确感应构造基于MBF输入的数量.
- 分析这些集中的链条格子.
主要成果:
- 开发了一种方法来列出所有兼容的布尔图和切换ODE模型.
- 描述了与网络动态相关的MBF格子的数学结构.
- 展示了这些结构如何限制动态行为的列举.
结论:
- 拟议的感应构造提供了一种系统的方式来生成兼容的模型.
- 与Dedekind数相关的MBF格子的大小对模型计数施加了实际限制.
- 这项工作有助于全面了解监管网络动态.
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