The entropy production in stochastic dynamical systems is linked to the structure of their causal representation in terms of Bayesian networks. Such a connection was formalized for bipartite (or multipartite) systems with an integral fluctuation theorem in [Phys. Rev. Lett. 111, 180603 (2013)]. Here we introduce the information thermodynamics for time series, that are non-bipartite in general, and we show that the link between irreversibility and information can only result from an incomplete causal representation. In particular, we consider a backward transfer entropy lower bound to the conditional time series irreversibility that is induced by the absence of feedback in signal-response models. We study such a relation in a linear signal-response model providing analytical solutions, and in a nonlinear biological model of receptor-ligand systems where the time series irreversibility measures the signaling efficiency.

Information thermodynamics for time series of signal-response models / Auconi, A.; Giansanti, A.; Klipp, E.. - In: ENTROPY. - ISSN 1099-4300. - 21:2(2019). [10.3390/e21020177]

Information thermodynamics for time series of signal-response models

Giansanti A.
Conceptualization
;
2019

Abstract

The entropy production in stochastic dynamical systems is linked to the structure of their causal representation in terms of Bayesian networks. Such a connection was formalized for bipartite (or multipartite) systems with an integral fluctuation theorem in [Phys. Rev. Lett. 111, 180603 (2013)]. Here we introduce the information thermodynamics for time series, that are non-bipartite in general, and we show that the link between irreversibility and information can only result from an incomplete causal representation. In particular, we consider a backward transfer entropy lower bound to the conditional time series irreversibility that is induced by the absence of feedback in signal-response models. We study such a relation in a linear signal-response model providing analytical solutions, and in a nonlinear biological model of receptor-ligand systems where the time series irreversibility measures the signaling efficiency.
2019
Causal influence; Fluctuation theorems; Irreversibility; Time series; Transfer entropy
01 Pubblicazione su rivista::01a Articolo in rivista
Information thermodynamics for time series of signal-response models / Auconi, A.; Giansanti, A.; Klipp, E.. - In: ENTROPY. - ISSN 1099-4300. - 21:2(2019). [10.3390/e21020177]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1389521
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