Stochastic Physics, Complex Systems and Biology
arXiv:1203.3554 · doi:10.1007/s40484-013-0002-6
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 equilibrium, spontaneous random "mutations" and "adaptations". On an evlutionary 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.
10 pages
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- Exploring the Interplay of Intrinsic Fluctuation and Complexity in Intracellular Calcium Dynamics
- On the verge of life: Distribution of nucleotide sequences in viral RNAs
- Stochastic kinetics of the circular gene hypothesis: feedback effects and protein fluctuations
- Small Open Chemical Systems Theory and Its Implications to Darwinian Evolutionary Dynamics, Complex Self-Organization and Beyond