Qian H, Qian M
Department of Applied Mathematics, University of Washington, Seattle, Washington 98195, USA.
Phys Rev Lett. 2000 Mar 6;84(10):2271-4. doi: 10.1103/PhysRevLett.84.2271.
Based on a master equation formalism for mesoscopic, unimolecular biochemical reactions, we show the periodic oscillation arising from severe nonequilibrium pumping is intimately related to the periodic motion in recently studied stochastic resonance (SR). The white noise in SR is naturally identified with the temperature in the biochemical reactions; the drift in the SR is associated with the circular flux in nonequilibrium steady state (NESS). As in SR, an optimal temperature for biochemical oscillation is shown to exist. A unifying framework for Hill's theory of NESS and the SR without periodic forcing is presented. The new formalism provides an analytically solvable model for SR.
基于介观单分子生化反应的主方程形式，我们表明，由严重非平衡泵浦引起的周期性振荡与最近研究的随机共振（SR）中的周期性运动密切相关。SR中的白噪声自然地与生化反应中的温度相对应；SR中的漂移与非平衡稳态（NESS）中的循环通量相关。与SR一样，生化振荡存在一个最佳温度。提出了一个统一的框架，用于希尔的NESS理论和无周期强迫的SR。新的形式主义为SR提供了一个可解析求解的模型。
