论文标题

化学反应的随机热力学与有限储层结合:Brusselator的案例研究

Stochastic thermodynamics of chemical reactions coupled to finite reservoirs: A case study for the Brusselator

论文作者

Fritz, Jonas H., Nguyen, Basile, Seifert, Udo

论文摘要

通常使用与无限大型化学储层结合的化学反应网络对生物分子过程进行建模。这些储层之间的化学电位差异可以将系统推向非平衡稳态(NESS)。实际上,这些过程发生在包含有限数量分子的有限系统中。在这样的系统中,可以在我们引入简单模型的外部驱动泵的帮助下达到NES。关键参数是化学储层的抽水速率和有限尺寸。我们将此模型应用于简单的生物化学振荡器,Brusselator,并使用相干振荡的数量量化性能。令人惊讶的是,我们发现,即使相应的电流波动大于理想的无限情况,也可以使用有限尺寸的储层来达到更高的精度。

Biomolecular processes are typically modeled using chemical reaction networks coupled to infinitely large chemical reservoirs. A difference in chemical potential between these reservoirs can drive the system into a non-equilibrium steady state (NESS). In reality, these processes take place in finite systems containing a finite number of molecules. In such systems, a NESS can be reached with the help of an externally driven pump for which we introduce a simple model. Crucial parameters are the pumping rate and the finite size of the chemical reservoir. We apply this model to a simple biochemical oscillator, the Brusselator, and quantify the performance using the number of coherent oscillations. As a surprising result, we find that higher precision can be achieved with finite-size reservoirs even though the corresponding current fluctuations are larger than in the ideal infinite case.

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