School of Mathematical Sciences and Centre for Computational Systems Biology, Fudan University, Shanghai 200433, People's Republic of China.
Phys Rev Lett. 2009 Oct 2;103(14):148103. doi: 10.1103/PhysRevLett.103.148103.
We show that the thermodynamic limit of a bistable phosphorylation-dephosphorylation cycle has a selection rule for the "more stable" macroscopic steady state. The analysis is akin to the Maxwell construction. Based on the chemical master equation approach, it is shown that, except at a critical point, bistability disappears in the stochastic model when fluctuation is sufficiently low but unneglectable. Onsager's Gaussian fluctuation theory applies to the unique macroscopic steady state. With an initial state in the basin of attraction of the "less stable" steady state, the deterministic dynamics obtained by the law of mass action is a metastable phenomenon. Stability and robustness in cell biology are emergent stochastic concepts.
我们表明，双稳态磷酸化-去磷酸化循环的热力学极限对“更稳定”的宏观稳态具有选择规则。该分析类似于麦克斯韦构造。基于化学主方程方法，表明除非在临界点，否则当波动足够低但不可忽略时，随机模型中的双稳性消失。当波动不可忽略时，昂萨格的高斯涨落理论适用于唯一的宏观稳态。对于初始状态处于“较不稳定”稳态吸引域的情况，由质量作用定律得到的确定性动力学是一种亚稳态现象。细胞生物学中的稳定性和鲁棒性是涌现的随机概念。
