Thermodynamic limits to information harvesting by sensory systems

Abstract

In view of the relation between information and thermodynamics we investigate how much information about an external protocol can be stored in the memory of a stochastic measurement device given an energy budget. We consider a layered device with a memory component storing information about the external environment by monitoring the history of a sensory part coupled to the environment. We derive an integral fluctuation theorem for the entropy production and a measure of the information accumulated in the memory device. Its most immediate consequence is that the amount of information is bounded by the average thermodynamic entropy produced by the process. At equilibrium no entropy is produced and therefore the memory device does not add any information about the environment to the sensory component. Consequently, if the system operates at equilibrium the addition of a memory component is superfluous. Such device can be used to model the sensing process of a cell measuring the external concentration of a chemical compound and encoding the measurement in the amount of phosphorylated cytoplasmic proteins.

Revised version: 18 pages, 5 figures

References in corpus (13)

• The Physics of Maxwell's demon and information
• Dissipation: The phase-space perspective
• Work and information processing in a solvable model of Maxwell's demon
• Experimental study of mutual information in a Maxwell Demon
• The thermodynamics of prediction
• Thermodynamics with continuous information flow
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Thermodynamic costs of information processing in sensory adaption
• Efficiency of cellular information processing
• Thermodynamics of statistical inference by cells
• Information-theoretic vs. thermodynamic entropy production in autonomous sensory networks
• Energy versus information based estimations of dissipation using a pair of magnetic colloidal particles

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• Sensory capacity: an information theoretical measure of the performance of a sensor
• Conservation Laws and Work Fluctuation Relations in Chemical Reaction Networks
• Coherence of Biochemical Oscillations is Bounded by Driving Force and Network Topology
• Landauer in the age of synthetic biology: energy consumption and information processing in biochemical networks
• Universal minimal cost of coherent biochemical oscillations
• Energy and information flows in autonomous systems
• Backward transfer entropy: Informational measure for detecting hidden Markov models and its interpretations in thermodynamics, gambling and causality
• Unified framework for the entropy production and the stochastic interaction based on information geometry
• Measurement-feedback formalism meets information reservoirs
• Protocols for copying and proofreading in template-assisted polymerization
• Trade-offs in delayed information transmission in biochemical networks
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• Stochastic thermodynamics of interacting degrees of freedom: Fluctuation theorems for detached path probabilities
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• Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
• Predictive Maxwell's Demons
• Dissipation in non-steady state regulatory circuits
• Information bounds production in replicator systems
• Thermodynamic inference in molecular motors: a Martingale approach
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
• Defining and finding lifelike entities with a lazy filter