Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary
Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary
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DOI：
10.1103/physrevlett.98.200603
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发表时间：
2007-05-18
影响因子：
8.6
通讯作者：
Metzler, Ralf
中科院分区：
文献类型：
--
作者：
Lomholt, Michael A.;Zaid, Irwin M.;Metzler, Ralf
导出了具有有限反应速率的次扩散粒子与反应边界相互作用的边界条件。分子拥挤条件，被发现引起生物细胞中大分子的亚扩散，被证明影响长尾分布，从边界到体的解结合时间和从体的再结合时间都具有相同的指数。这导致了弱遍历性断裂：通常，单个粒子要么保持束缚状态，要么长时间保持整体状态。我们讨论了为什么这可能有利于dna结合蛋白的体内基因调控，其典型浓度为纳摩尔。
We derive the boundary condition for a subdiffusive particle interacting with a reactive boundary with a finite reaction rate. Molecular crowding conditions, that are found to cause subdiffusion of larger molecules in biological cells, are shown to effect long-tailed distributions with an identical exponent for both the unbinding times from the boundary to the bulk and the rebinding times from the bulk. This causes a weak ergodicity breaking: typically, an individual particle either stays bound or remains in the bulk for very long times. We discuss why this may be beneficial for in vivo gene regulation by DNA-binding proteins, whose typical concentrations are nanomolar.