与空间扩散术语相互作用的遗传调节网络的有限时间稳定性分析
Qi Liu1, Zhiqiang Lv2, Chengye Zou3
1School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, China.
Computers in biology and medicine
|June 25, 2025
概括
这项研究分析了与扩散相互作用的基因调节网络 (GRNs) 的稳定性. 新的方法确保这些复杂的生物系统的有限时间稳定性,通过模拟验证.
科学领域:
- 系统生物学 系统生物学
- 计算生物学 计算生物学
- 生物物理学的生物物理.
背景情况:
- 基因调节网络 (GRNs) 控制基因表达.
- 了解相互作用的GRNs的稳定性对于细胞过程至关重要.
- 空间扩散和时间延迟使GRN动态变得复杂.
研究的目的:
- 研究与空间扩散结合的遗传调节网络的有限时间稳定性.
- 开发一个强大的分析框架来分析这些系统内的动态相互作用.
- 在时间延迟和空间影响的条件下为GRNs建立不那么保守的稳定性标准.
主要方法:
- 开发一种用于互动的GRN的合模型.
- 使用一个新的Lyapunov-Krasovskii功能来进行稳定性分析.
- 应用延迟分区方法来处理时间延迟 (零或非零).
- 将迪里克莱特边界条件纳入空间扩散模型.
主要成果:
- 为相互作用的GRNs推导出新的,不那么保守的稳定性标准.
- 在特定条件下证明有限时间稳定的行为.
- 通过数值模拟验证理论标准.
结论:
- 提出的方法有效地确保了与空间扩散和时间延迟相互作用的GRNs的有限时间稳定性.
- 与现有方法相比,衍生的稳定性标准提供了更高的准确性和更低的保守性.
- 数字模拟证实了分析方法在预测系统行为的有效性.
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