预测化学反应中的罕见事件：应用于皮肤细胞增殖
Predicting rare events in chemical reactions: application to skin cell proliferation
摘要：
在一个充分搅拌的体系中进行化学反应，反应倾向的波动近似地被相应的化学朗之万方程所捕获。在此背景下，我们讨论在这项工作中如何Kramers逃逸理论可以用来预测罕见的化学反应事件。作为一个例子，我们将我们的方法应用于最近提出的与皮肤癌相关的细胞增殖模型[P.B. Warren，Phys. Rev. E { \bf 80}，030903（2009）]。特别是，我们提供了一个分析解释的形式观察到的发病率不受控制的细胞增殖的指数。
英文摘要：
In a well-stirred system undergoing chemical reactions, fluctuations in the reaction propensities are approximately captured by the corresponding chemical Langevin equation. Within this context, we discuss in this work how the Kramers escape theory can be used to predict rare events in chemical reactions. As an example, we apply our approach to a recently proposed model on cell proliferation with relevance to skin cancer [P.B. Warren, Phys. Rev. E {\bf 80}, 030903 (2009)]. In particular, we provide an analytical explanation for the form of the exponential exponent observed in the onset rate of uncontrolled cell proliferation.
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