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- W2956258510 abstract "We consider a toy model for analyzing the influence of an assumed universal trade-off between costs and precision on the dynamical performance of a system, in particular when biological information is processed. An essential characteristic of the dynamics is a repetitive process that should run at high precision, here chosen as an iterated reproduction of a bitstring. The trade-off is implemented implicitly by assuming that the reproduction is inherently error-prone and defective. It consumes energy that depends on the required precision. When the reproduction process is combined with repair, errors are corrected with a certain probability as soon as they exceed a tolerated threshold. Also the error correction process is assumed to consume energy. The energy for repair is taken from the same finite reservoir as energy for reproduction. The reservoir can be refilled from time to time, but energy for repair is at the expense of the precision of the subsequent reproduction. So it may come as a surprise that it is possible to sustain the reproduction process without exceeding the tolerated error threshold. The conditions for this to happen are derived from the bifurcation diagram of a discrete map that describes the time evolution of errors. When these conditions are violated, the fate of the system is either a lack of energy supply for further reproduction, or errors accumulate so that the system ends in an error catastrophe. We study also the next step of iteration, when also repair success is not guaranteed for free, and derive the corresponding phase diagram. This work sheds some light on possible physical reasons for biological aging that we will indicate [1]. [1] M. Voit and H. Meyer-Ortmanns, How aging may be an unavoidable fate of dynamical systems, submitted to New Journal of Physics (2018)." @default.
- W2956258510 created "2019-07-23" @default.
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- W2956258510 date "2019-04-17" @default.
- W2956258510 modified "2023-10-01" @default.
- W2956258510 title "Trade-offs between cost and precision and their impact on the aging of dynamical systems" @default.
- W2956258510 hasPublicationYear "2019" @default.
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