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Virtually every organism gathers information about its noisy environment and builds models from that data, mostly using neural networks. Here, we use stochastic thermodynamics to analyse the learning of a classification rule by a neural…

Statistical Mechanics · Physics 2017-01-31 Sebastian Goldt , Udo Seifert

Improved understanding of molecular systems has only emphasised the sophistication of networks within the cell. Simultaneously, the advance of nucleic acid nanotechnology, a platform within which reactions can be exquisitely controlled, has…

Molecular Networks · Quantitative Biology 2017-10-03 Thomas E. Ouldridge

Fluctuations in the abundance of molecules in the living cell may affect its growth and well being. For regulatory molecules (e.g., signaling proteins or transcription factors), fluctuations in their expression can affect the levels of…

Molecular Networks · Quantitative Biology 2009-11-13 Erel Levine , Terence Hwa

Fluctuation theorems impose fundamental bounds in the statistics of the entropy production, with the second law of thermodynamics being the most famous. Using information theory, we quantify the information of entropy production and find an…

Quantum Physics · Physics 2021-02-17 Domingos S. P. Salazar

Previously derived "global" thermodynamic speed limit theorems state that increasing the maximum speed with which a system can evolve between two given probability distributions over its states requires the system to produce more entropy in…

Statistical Mechanics · Physics 2021-12-07 Farita Tasnim , David H. Wolpert

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

Biomolecules stochastically occupy different possible configurations with probabilities given by non-equilibrium steady-state distributions. These distributions are determined by the transition rate constants between different…

Biological Physics · Physics 2024-07-19 Easun Arunachalam , Milo M. Lin

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Statistical Mechanics · Physics 2020-12-18 Schuyler B. Nicholson , Luis Pedro Garcia-Pintos , Adolfo del Campo , Jason R. Green

In this chapter, we illustrate recently obtained thermodynamic bounds for a number of enzymatic networks by focusing on simple examples of unicyclic or multi-cyclic networks. We also derive complementary relations which constrain the…

Statistical Mechanics · Physics 2018-04-04 K. Proesmans , L. Peliti , D. Lacoste

We define a \emph{thermal network}, which is a network where the flow functionality of a node depends upon its temperature. This model is inspired by several types of real-life networks, and generalizes some conventional network models…

Discrete Mathematics · Computer Science 2016-07-12 Samiksha Sarwari , Shrisha Rao

An information theoretic approach inspired by quantum statistical mechanics was recently proposed as a means to optimize network models and to assess their likelihood against synthetic and real-world networks. Importantly, this method does…

Statistical Mechanics · Physics 2018-09-12 Carlo Nicolini , Vladimir Vlasov , Angelo Bifone

We use mesoscopic non-equilibrium thermodynamics theory to describe RNA unfolding under tension. The theory introduces reaction coordinates, characterizing a continuum of states for each bond in the molecule. The unfolding considered is so…

Statistical Mechanics · Physics 2007-09-18 J. M. Rubi , D. Bedeaux , S. Kjelstrup

We investigate the thermodynamic implications of two control mechanisms of open chemical reaction networks. The first controls the concentrations of the species that are exchanged with the surroundings, while the other controls the exchange…

Statistical Mechanics · Physics 2022-02-22 Francesco Avanzini , Massimiliano Esposito

Signal transduction in living cells is vital to maintain life itself, where information transfer in noisy environment plays a significant role. In a rather different context, the recent intensive researches of "Maxwell's demon" - a feedback…

Statistical Mechanics · Physics 2015-06-30 Sosuke Ito , Takahiro Sagawa

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical…

Statistical Mechanics · Physics 2017-10-03 Gili Bisker , Matteo Polettini , Todd R. Gingrich , Jordan M. Horowitz

We study genetic networks that produce many species of non-coding RNA molecules that are present at a moderate density, as typically exists in the cell. The associations of the many species of these RNA are modeled physically, taking into…

Genomics · Quantitative Biology 2014-09-08 J. M. Deutsch

The activity of a neural network is defined by patterns of spiking and silence from the individual neurons. Because spikes are (relatively) sparse, patterns of activity with increasing numbers of spikes are less probable, but with more…

Neurons and Cognition · Quantitative Biology 2025-02-13 Gasper Tkacik , Thierry Mora , Olivier Marre , Dario Amodei , Michael J. Berry , William Bialek

Neural dynamics of energy-based models are governed by energy minimization and the patterns stored in the network are retrieved when the system reaches equilibrium. However, when the system is driven by time-varying external input, the…

Neurons and Cognition · Quantitative Biology 2020-12-25 Kevin S. Chen

This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Markov jump processes are analyzed under a thermodynamic limit…

Probability · Mathematics 2009-09-29 Nelson Antunes , Christine Fricker , Philippe Robert , Danielle Tibi