对转录突破对基因调控网络动态的影响的高效近似
Jochen Kursawe1, Antoine Moneyron2, Tobias Galla3
1School of Mathematics and Statistics, University of St Andrews, St Andrews, UK.
Journal of the Royal Society, Interface
|June 24, 2025
概括
基因调节网络中的转录爆发可以诱导振荡并改变系统动态. 新的方法扩展了化学朗格文方程,以高效地模拟这种爆发,提高计算速度和分析洞察力.
科学领域:
- 系统生物学 系统生物学
- 计算生物学 计算生物学
- 分子生物学分子生物学
背景情况:
- 数学模型对于理解基因调节网络 (GRNs) 和细胞命运至关重要.
- 在GRN模型中准确地纳入随机性 (随机性) 是具有计算挑战性的.
- 由于复杂性,现有的模型往往在探索和参数推断方面面临局限性.
研究的目的:
- 调查转录破裂和有限拷贝数噪声对GRN动态的影响.
- 开发计算效率高的近似方法来建模GRN中的随机性.
- 为使用这些近似提供建议.
主要方法:
- 开发了一种自负反图案的数学模型,其中包含了转录爆发和复制号噪声.
- 探索了多个近似级别:微分方程,断片决定性过程和随机微分方程.
- 扩展了化学朗格温方程 (CLE),包括转录爆破的噪声术语.
主要成果:
- 转录突破可以有质地改变系统动态,诱导或放大振荡.
- 扩展的CLE显著减少了计算时间,并使分析计算 (例如,功率频谱) 成为可能.
- 确定了这些近似值的条件,以及这些近似值的分解.
结论:
- 对转录突破的准确建模对于模拟GRN动态至关重要.
- 扩展的CLE提供了一个计算高效和分析可处理的方法,用于整合爆破噪声.
- 该研究为有效利用这些建模近似提供了实际指导方针.
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