Single-molecule stochastic times in a reversible bimolecular reaction
Single-molecule stochastic times in a reversible bimolecular reaction
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DOI：
10.1063/1.4747337
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发表时间：
2012-08-28
影响因子：
4.4
通讯作者：
Valleriani, Angelo
中科院分区：
文献类型：
--
作者：
Keller, Peter;Valleriani, Angelo
在这项工作中，我们考虑的是A和B物种的反应物之间的可逆反应，以形成产品C。我们认为这种反应是生物学中许多伪生物分子反应的原型，例如分子马达。我们推导出一个A类分子在与B类分子发生反应之前所需的随机等待时间的精确概率密度。我们执行此计算充分考虑到物种B的分子数量的随机波动。我们表明，在低数量的参与分子，确切的概率密度不同的指数密度通过假设质量作用定律。最后，讨论了精确随机和近似处理中细节平衡的条件。(C)2012年美国物理学会。[http：//dx.doi.org/10.1063/1.4747337]
In this work, we consider the reversible reaction between reactants of species A and B to form the product C. We consider this reaction as a prototype of many pseudobiomolecular reactions in biology, such as for instance molecular motors. We derive the exact probability density for the stochastic waiting time that a molecule of species A needs until the reaction with a molecule of species B takes place. We perform this computation taking fully into account the stochastic fluctuations in the number of molecules of species B. We show that at low numbers of participating molecules, the exact probability density differs from the exponential density derived by assuming the law of mass action. Finally, we discuss the condition of detailed balance in the exact stochastic and in the approximate treatment. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4747337]