Stochastic physics, complex systems and biology

作     者：Hong Qian 

作者机构：Department of Applied Mathematics University of Washington Seattle WA 98195 USA 

出 版 物：《Frontiers of Electrical and Electronic Engineering in China》 (中国电气与电子工程前沿（英文版）)

年 卷 期：2013年第8卷第1期

页      面：50-53页

学科分类：0710[理学-生物学] 0831[工学-生物医学工程（可授工学、理学、医学学位）] 07[理学] 08[工学] 071009[理学-细胞生物学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Stochastic Dynamic Evolutionary Time Scale Nonequilibrium Steady State Nonequilibrium Phase Transition Stochastic Gene Expression 

摘      要：In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod＇s necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated equilibria, spontaneous random ＂mutations＂ and ＂adaptations＂. On an evolutionary time scale it produces sustainable diversity among individuals in a homogeneous population rather than convergence as usually predicted by a deterministic dynamics. The emergent discrete states in such a system, i.e., attractors, have natural robustness against both internal and external perturbations. Phenotypic states of a biological cell, a mesoscopic nonlinear stochastic open biochemical system, could be understood through such a perspective.