Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Transitions between such states are studied as noise-driven escape problems in the chemical species space. Escape can occur via multiple possible multidimensional paths, with probabilities depending nonlocally on the noise. Here we characterize the escape from an oscillatory biochemical state by minimizing the Freidlin-Wentzell action, deriving from it the stochastic spiral exit path from the limit cycle. We also use the minimized action to infer the escape time probability density function.

中文翻译：

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最小作用路径理论揭示了振荡状态之外的随机跃迁的细节

细胞状态确定是内在随机生化反应的结果。研究这种状态之间的转换，将其作为化学物种空间中由噪声驱动的逃逸问题。逃逸可以通过多种可能的多维路径发生，概率非局部地取决于噪声。在这里，我们通过最小化Freidlin-Wentzell作用来表征从振荡生化状态的逃逸，从而从极限循环中得出随机的螺旋出口路径。我们还使用最小化作用来推断逃逸时间概率密度函数。