Abstract
Evolutionary dynamics, especially dynamics on bio-molecular scale, bear inherent nonlinear properties. We analyze these dynamics of evolution by subdividing it in less sophisticated processes: population dynamics, population-support dynamics, and genotype-phenotype mapping. Molecular evolutionary biology provides a sufficiently simple experimental setup for a quantitative analysis of these subsystems. RNA secondary structures serve as model of reasonable phenotype mapping. Preimages of these mappings reveal neutral behavior and percolate genotype-space as so called neutral networks. The spatial organization of these networks significantly determine evolutionary dynamics: By stochastic flow transitions between two networks (two phenotypes) take place, by neutral drift better phenotypes are explored and evolutionary optimization towards a global maximum is possible, and by diffusion complex dynamical units (such as hypercycles) are competitive against parasites.
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Forst, C.V. (1998). Molecular evolutionary dynamics. In: Parisi, J., Müller, S.C., Zimmermann, W. (eds) A Perspective Look at Nonlinear Media. Lecture Notes in Physics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104965
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DOI: https://doi.org/10.1007/BFb0104965
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