在酵母细胞中代谢振荡的非线性延迟模型
Max M Chumley1, Firas A Khasawneh2, Andreas Otto3,4
1Mechanical Engineering, Michigan State University, East Lansing, MI, USA.
Bulletin of mathematical biology
|November 7, 2023
概括
酵母细胞中的代谢振荡源于共享的有限资源,如核糖体. 我们的模型揭示了特定的资源水平,时间延迟引发了这些振荡,影响了蛋白质生产动态.
科学领域:
- 系统生物学 系统生物学
- 生物物理学的生物物理.
- 计算生物学 计算生物学
背景情况:
- 代谢振荡对于细胞功能至关重要.
- 资源限制是代谢振荡的一个推测驱动因素.
- 酵母细胞为研究代谢动态提供了一个模型系统.
研究的目的:
- 开发和分析酵母中代谢振荡的时间延迟模型.
- 为了测试共享有限资源导致振荡的假设.
- 调查资源可用性和时间延迟对振荡动态的影响.
主要方法:
- 开发了单蛋白和三蛋白时间延迟模型.
- 采用光谱元素方法来近似系统和分析稳定性.
- 利用参数空间投影和历史函数用于振荡检测.
- 将系统转换为边界值问题,以找到近似的周期性解决方案.
主要成果:
- 确定了导致振荡的总资源和时间延迟的特定组合.
- 观察到一个由稳定状态区域 (零和恒定产量) 划界的振荡区域.
- 证明了资源共享会影响蛋白质生产率,特别是在资源水平较低的情况下.
结论:
- 由核糖体可用性建模的共享资源池是酵母菌代谢振荡的关键因素.
- 时间延迟模型有效地捕捉了资源有限的代谢振荡的动态.
- 模型的发现与对代谢调节和蛋白质生产转移的实验观测一致.
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