可兴奋基因回路中随机行为与确定性行为的转换
The transition between stochastic and deterministic behavior in an excitable gene circuit
摘要：
我们探讨了一个随机模拟模型和一个常微分方程（ODEs）模型之间的联系，表现出噪声诱导的振荡的可兴奋基因电路的动态。在常微分方程模型的分叉点附近，随机模拟模型产生的行为与常微分方程模型预测的行为有很大的不同。我们分析了这种行为如何依赖于基因拷贝数，并发现在分叉点附近收敛到大数极限非常缓慢。理解的基因电路和其他出生死亡的动力系统与少数成分的动力学的影响进行了讨论。
英文摘要：
We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise-induced oscillations. Near a bifurcation point in the ODE model, the stochastic simulation model yields behavior dramatically different from that predicted by the ODE model. We analyze how that behavior depends on the gene copy number and find very slow convergence to the large number limit near the bifurcation point. The implications for understanding the dynamics of gene circuits and other birth-death dynamical systems with small numbers of constituents are discussed.
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