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A fluctuation theorem for time-series of signal-response models with the backward transfer entropy

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 نشر من قبل Edda Klipp
 تاريخ النشر 2018
  مجال البحث فيزياء
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The irreversibility of trajectories in stochastic dynamical systems is linked to the structure of their causal representation in terms of Bayesian networks. We consider stochastic maps resulting from a time discretization with interval tau of signal-response models, and we find an integral fluctuation theorem that sets the backward transfer entropy as a lower bound to the conditional entropy production. We apply this to a linear signal-response model providing analytical solutions, and to a nonlinear model of receptor-ligand systems. We show that the observational time tau has to be fine-tuned for an efficient detection of the irreversibility in time-series.



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