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New classes of performance measures have been recently introduced to quantify the transient response to external disturbances of coupled dynamical systems on complex networks. These performance measures are time-integrated quadratic forms…

Optimization and Control · Mathematics 2019-02-01 T. Coletta , B. Bamieh , Ph. Jacquod

The development of multicellular organisms entails a deep connection between time-dependent biochemical processes taking place at the subcellular level, and the resulting macroscopic phenotypes that arise in populations of up to trillions…

Biological Physics · Physics 2025-10-07 Ben Ansbacher , Malachy Guzman , Jordi Garcia-Ojalvo , Arjendu K Pattanayak

In this paper we develop the concept of information transfer between the Borel-measurable sets for a dynamical system described by a measurable space and a non-singular transformation. The concept is based on how Shannon entropy is…

Systems and Control · Electrical Eng. & Systems 2019-10-01 Subhrajit Sinha , Umesh Vaidya , Enoch Yeung

We study quantum conditional entropy production, which quantifies the irreversibility of system-environment evolution from the perspective of a third system, called the reference. The reference is initially correlated with the system. We…

Quantum Physics · Physics 2022-08-01 Kun Zhang , Xuanhua Wang , Qian Zeng , Jin Wang

Studies about the constructive aspects of noise and fluctuations in different non-linear systems have shown that the addition of external noise to systems with an intrinsic noise may result in a less noisy response. Recently, the…

Materials Science · Physics 2009-11-13 D. Persano Adorno , N. Pizzolato , B. Spagnolo

Neuronal responses are conspicuously variable. We focus on one particular aspect of that variability: the precision of action potential timing. We show that for common models of noisy spike generation, elementary considerations imply that…

Disordered Systems and Neural Networks · Physics 2009-10-31 Guillermo A. Cecchi , Mariano Sigman , Jose-Manuel Alonso , Luis Martinez , Dante R. Chialvo , Marcelo O. Magnasco

We propose the Fourier-domain transfer entropy spectrum, a novel generalization of transfer entropy, as a model-free metric of causality. For arbitrary systems, this approach systematically quantifies the causality among their different…

Data Analysis, Statistics and Probability · Physics 2021-10-14 Yang Tian , Yaoyuan Wang , Ziyang Zhang , Pei Sun

Timing is essential for many cellular processes, from cellular responses to external stimuli to the cell cycle and circadian clocks. Many of these processes are based on gene expression. For example, an activated gene may be required to…

Molecular Networks · Quantitative Biology 2017-02-24 Alma Dal Co , Marco Cosentino Lagomarsino , Michele Caselle , Matteo Osella

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

Statistical Mechanics · Physics 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Robin A. A. Ince , Stefano Panzeri , Simon R. Schultz

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

Information Theory · Computer Science 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

Information transfer is an essential factor in determining the robustness of collective behaviour in biological systems with distributed control. The most direct way to study the information transfer mechanisms is to experimentally detect…

Statistical Mechanics · Physics 2016-12-21 Andrea Cavagna , Daniele Conti , Irene Giardina , Tomas S. Grigera , Stefania Melillo , Massimiliano Viale

Information-theoretic quantities, such as entropy, are used to quantify the amount of information a given variable provides. Entropies can be used together to compute the mutual information, which quantifies the amount of information two…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Kevin H. Knuth , Deniz Gençağa , William B. Rossow

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

The effect of thermal structural fluctuations on the modulation of the transfer integrals between close molecules is studied using a combination of molecular dynamics simulations and quantum chemical calculations of the transfer integral.…

Other Condensed Matter · Physics 2007-05-23 Alessandro Troisi , Giorgio Orlandi

Cellular behavior is governed by gene regulatory processes that are intrinsically dynamic and nonlinear, and are subject to non-negligible amounts of random fluctuations. Such conditions are ubiquitous in physical systems, where they have…

Molecular Networks · Quantitative Biology 2011-09-21 Jordi Garcia-Ojalvo

Diffusion processes are widespread in biological and chemical systems, where they play a fundamental role in the exchange of substances at the cellular level and in determining the rate of chemical reactions. Recently, the classical picture…

Soft Condensed Matter · Physics 2015-09-16 Roberto Cerbino , Yifei Sun , Aleksandar Donev , Alberto Vailati

Maintained by environmental fluxes, biological systems are thermodynamic processes that operate far from equilibrium without detailed-balance dynamics. Yet, they often exhibit well defined nonequilibrium steady states (NESSs). More…

Statistical Mechanics · Physics 2017-08-02 P. M. Riechers , J. P. Crutchfield

Cells must continuously sense and respond to time-varying environmental stimuli. These signals are transmitted and processed by biochemical signalling networks. However, the biochemical reactions making up these networks are intrinsically…

Molecular Networks · Quantitative Biology 2015-05-18 Filipe Tostevin , Pieter Rein ten Wolde

In terms of transfer entropy, we investigated the strength and the direction of information transfer in the US stock market. Through the directionality of the information transfer, the more influential company between the correlated ones…

Physics and Society · Physics 2008-12-02 Seung Ki Baek , Woo-Sung Jung , Okyu Kwon , Hie-Tae Moon