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This research reports the entropy and information transfer throughout seven different enzymatic systems, namely, TIM-Barrel, Human Lysozyme, Ribonuclease A1, Pepsin , b-lactamase, Human Glucokinase and Carbonic anhydrase II. A general trend…

Biomolecules · Quantitative Biology 2026-03-24 German Mino Galaz , Juan Pablo Pena , Javier Patino Baez , Nicolas Mino Berdu , Jose Gonzalez Suarez

Allostery is an intrinsic spatiotemporal property of all proteins, resulting from long range correlations in the order of several nanometers and time scales of nanoseconds. Information is carried asymmetrically from one part to another by…

Biomolecules · Quantitative Biology 2017-08-17 Aysima Hacisuleyman , Burak Erman

Transfer entropy is an established method for quantifying directed statistical dependencies in neuroimaging and complex systems datasets. The pairwise (or bivariate) transfer entropy from a source to a target node in a network does not…

Information Theory · Computer Science 2020-05-05 Leonardo Novelli , Fatihcan M. Atay , Jürgen Jost , Joseph T. Lizier

Understanding the link between structure and function in proteins is fundamental in molecular biology and proteomics. A central question in this context is whether allostery - where the binding of a molecule at one site affects the activity…

Statistical Mechanics · Physics 2025-06-02 Giulio Costantini , Lorenzo Caprini , Umberto Marini Bettolo Marconi , Fabio Cecconi

Allosteric communication in proteins is a central and yet unsolved problem of structural biochemistry. Previous findings, from computational biology (Ota and Agard, 2005), have proposed that heat diffuses in a protein through cognate…

Biomolecules · Quantitative Biology 2015-03-10 Germán A. Miño-Galaz

Many signalling functions in molecular biology require proteins bind to substrates such as DNA in response to environmental signals such as the simultaneous binding to a small molecule. Examples are repressor proteins which may transmit…

Biomolecules · Quantitative Biology 2009-11-10 Rhoda J. Hawkins , Thomas C. B. McLeish

Transfer entropy has been used to quantify the directed flow of information between source and target variables in many complex systems. While transfer entropy was originally formulated in discrete time, in this paper we provide a framework…

Information Theory · Computer Science 2017-04-05 Richard E. Spinney , Mikhail Prokopenko , Joseph T. Lizier

The response of proteins to chemical reactions or impulsive excitation that occurs within the molecule has fascinated chemists for decades. In recent years ultrafast X-ray studies have provided ever more detailed information about the…

Biological Physics · Physics 2018-05-11 David M. Leitner , Takahisa Yamato

This work explores entropy analysis as a tool for probing information distribution within Transformer-based architectures. By quantifying token-level uncertainty and examining entropy patterns across different stages of processing, we aim…

Computation and Language · Computer Science 2025-07-31 Amedeo Buonanno , Alessandro Rivetti , Francesco A. N. Palmieri , Giovanni Di Gennaro , Gianmarco Romano

We review the behavior of the entropy per particle in various two-dimensional electronic systems. The entropy per particle is an important characteristic of any many body system that tells how the entropy of the ensemble of electrons…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Y. M. Galperin , D. Grassano , V. P. Gusynin , A. V. Kavokin , O. Pulci , S. G. Sharapov , V. O. Shubnyi , A. A. Varlamov

Signal transmission at the molecular level in many biological complexes occurs through allosteric transitions. They describe the response a complex to binding of ligands at sites that are spatially well separated from the binding region. We…

Biomolecules · Quantitative Biology 2018-01-31 D. Thirumalai , Changbong Hyeon

While allostery is of paramount importance for protein regulation, the underlying dynamical process of ligand (un)binding at one site, resulting time evolution of the protein structure, and change of the binding affinity at a remote site is…

In this article, we review a general theoretical framework of thermodynamics of information on the basis of Bayesian networks. This framework can describe a broad class of nonequilibrium dynamics of multiple interacting systems with complex…

Statistical Mechanics · Physics 2018-07-23 Sosuke Ito , Takahiro Sagawa

Nonlinear entropy transfer processes in toroidal ion temperature gradient (ITG) and electron temperature gradient (ETG) driven turbulence are investigated based on the gyrokinetic entropy balance relations for zonal and non-zonal modes,…

Plasma Physics · Physics 2026-02-27 Motoki Nakata , Tomo-Hiko Watanabe , Hideo Sugama

In this article we present a methodology to estimate the Transfer Entropy Rate between two systems through the Lempel-Ziv complexity. This methodology carries a set of practical advantages: it can be estimated from two single discrete…

Applications · Statistics 2020-05-20 Juan F. Restrepo , Diego M. Mateos , Gastón Schlotthauer

Post-translational modification (PTM) of proteins plays a key role in signal transduction, and hence significant effort has gone toward understanding how PTM networks process information. This involves, on the theory side, analyzing the…

Molecular Networks · Quantitative Biology 2018-04-04 Carsten Conradi , Anne Shiu

A measure is derived to quantify directed information transfer between pairs of vertices in a weighted network, over paths of a specified maximal length. Our approach employs a general, probabilistic model of network traffic, from which the…

Disordered Systems and Neural Networks · Physics 2013-11-05 Christopher R. S. Banerji , Simone Severini , Andrew E. Teschendorff

Transfer Entropy and Directed Information are information-theoretic measures of the directional dependency between stochastic processes. Following the definitions of Schreiber and Massey in discrete time, we define and evaluate these…

Probability · Mathematics 2016-04-08 Nigel J. Newton

The ability to quantify the directional flow of information is vital to understanding natural systems and designing engineered information-processing systems. A widely used measure to quantify this information flow is the transfer entropy.…

Molecular Networks · Quantitative Biology 2025-07-11 Avishek Das , Pieter Rein ten Wolde

Trap models describe glassy dynamics as a stochastic process on a network of configurations representing local energy minima. We study within this class the paradigmatic Barrat-M\'ezard model, which has Glauber transition rates. Our focus…

Disordered Systems and Neural Networks · Physics 2020-09-25 Diego Tapias , Eva Paprotzki , Peter Sollich
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