STOCHASTICALLY-INDUCED BISTABILITY IN CHEMICAL REACTION SYSTEMS

STOCHASTICALLY-INDUCED BISTABILITY IN CHEMICAL REACTION SYSTEMS
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DOI:
10.1214/13-aap946
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发表时间:
2014-06-01
影响因子:
1.8
通讯作者:
Popovic, Lea
Popovic, Lea
中科院分区:
数学2区
文献类型:
--
作者:
McSweeney, John K.;Popovic, Lea

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研究了具有两种机制的随机两种群化学反应系统。一种机制由化学相互作用组成,它控制着系统中物种数量的总体漂移;另一种机制由重新分配、分支或分裂组成,它使物种数量发生无偏的微扰变化。我们的研究结果表明,在一个系统的大,但有界的能力,这两种类型的相互作用的某些组合可以导致随机诱导的双稳态。根据这两组相互作用速率的相对大小,双稳态可以以两种不同的方式发生,具有不同的动力学特征。
We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling, branching or splitting which makes unbiased perturbative changes to species amounts. Our results show that in a system with a large but bounded capacity, certain combinations of these two types of interactions can lead to stochastically-induced bistability. Depending on the relative magnitudes of the rates of these two sets of interactions, bistability can occur in two distinct ways with different dynamical signatures.