Stochastic physics, complex systems and biology
 Hong Qian
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Abstract
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.
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 Title
 Stochastic physics, complex systems and biology
 Journal

Quantitative Biology
Volume 1, Issue 1 , pp 5053
 Cover Date
 20130301
 DOI
 10.1007/s4048401300026
 Print ISSN
 20954689
 Online ISSN
 20954697
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Authors

 Hong Qian ^{(12)}
 Author Affiliations

 12. Department of Applied Mathematics, University of Washington, Seattle, WA, 98195, USA