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首页> 外文期刊>Physical review, E >Fluctuation relations between hierarchical kinetically equivalent networks with Arrhenius-type transitions and their roles in systems and structural biology
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Fluctuation relations between hierarchical kinetically equivalent networks with Arrhenius-type transitions and their roles in systems and structural biology

机译:具有Arhenius型转换的分层动力学网络与系统与结构生物学作用的波动关系

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摘要

The legality of using simple kinetic schemes to determine the stochastic properties of a complex system depends on whether the fluctuations generated from hierarchical equivalent schemes are consistent with one another. To analyze this consistency, we perform lumping processes on the stochastic differential equations and the generalized fluctuation-dissipation theorem and apply them to networks with the frequently encountered Arrhenius-type transition rates. The explicit Langevin force derived from those networks enables us to calculate the state fluctuations caused by the intrinsic and extrinsic noises on the free energy surface and deduce their relations between kinetically equivalent networks. In addition to its applicability to wide classes of network related systems, such as those in structural and systems biology, the result sheds light on the fluctuation relations for general physical variables in Keizer’s canonical theory.
机译:使用简单动词方案来确定复杂系统的随机特性的合法性取决于从分层等同方案中产生的波动是否彼此一致。 为了分析这种一致性,我们在随机微分方程和广义波动定理上执行集合过程,并将其应用于具有经常遇到的Arhenius型转换速率的网络。 来自这些网络的显式Langevin力使我们能够计算由自由能表面上的内在和外在噪声引起的状态波动,并推断出在动力学上等效网络之间的关系。 除了适用于广泛的网络相关系统之外,例如结构和系统生物学中的网络相关系统,结果揭示了Keizer规范理论中一般物理变量的波动关系。

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