在内在波动下的稳定性分析:基因调节网络的第二时刻视角
Manuel Eduardo Hernández-García1, Mariana Gómez-Schiavon2,3, Jorge Velázquez-Castro1
1Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Heroica Puebla de Zaragoza, Puebla 72570, Mexico.
Physical biology
|September 24, 2025
概括
有负反的基因调节网络是强大的,但面临着波动的稳定性挑战. 一种新的第二时刻方法证实了在这些内在波动下系统的稳定性,保持了确定性的静止度.
科学领域:
- 系统生物学 系统生物学
- 生物物理学的生物物理.
- 生物化学工程 生物化学工程
背景情况:
- 有负反的基因调节网络对于生物的强度和弹性至关重要.
- 离散分子组件中的随机波动对稳定性分析构成挑战.
- 传统的方法,如朗格文方程和福克-普朗克方程提供了近似值,并且可能会在非质量作用动力学方面失败.
研究的目的:
- 使用一种新的方法,分析基因调节网络在内在波动下具有负反的稳定性.
- 调查随机性对系统稳定性和静止状态的影响.
- 开发一种用于分析随机生化系统的实用框架.
主要方法:
- 采用第二时刻方法来分析系统稳定性.
- 将随机系统转换为平均度和第二个中心矩阵的普通微分方程.
- 进行了类似于确定性模型的稳定性分析.
主要成果:
- 第二时刻分析揭示了两个额外的负本值,证实了系统在内在波动下的稳定性.
- 第二个中心时刻的稳定性表明,波动不会导致系统不稳定.
- 与确定性情况相比,静止平均度保持不变,不受波动的影响.
结论:
- 第二时刻方法为分析随机基因调节网络的稳定性提供了一种实用且富有洞察力的方法.
- 这一框架表明,负反系统可以保持稳定性,尽管内在的分子波动.
- 该方法可以扩展到分析其他复杂的生物化学网络,具有反和随机性.
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