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Recent experiments have indicated that many biological systems self-organise near their critical point, which hints at a common design principle. While it has been suggested that information transmission is optimized near the critical…

Statistical Mechanics · Physics 2021-02-03 Matthijs Meijers , Sosuke Ito , Pieter Rein ten Wolde

In order to transmit biochemical signals, biological regulatory systems dissipate energy with concomitant entropy production. Additionally, signaling often takes place in challenging environmental conditions. In a simple model regulatory…

Molecular Networks · Quantitative Biology 2015-09-30 Francesca Mancini , Matteo Marsili , Aleksandra M. Walczak

Biochemical signaling cascades transmit intracellular information while dissipating energy under nonequilibrium conditions. We model a cascade as a code string and apply information-entropy ideas to quantify an optimal transmission rate. A…

Molecular Networks · Quantitative Biology 2026-01-21 Tatsuaki Tsuruyama

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

Statistical Mechanics · Physics 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

In a molecular communication network, transmitters and receivers communicate by using signalling molecules. At the receivers, the signalling molecules react, via a chain of chemical reactions, to produce output molecules. The counts of…

Molecular Networks · Quantitative Biology 2020-07-23 Chun Tung Chou

Signal transduction in biological cells is effected by signaling pathways that typically include multiple feedback loops. Here we analyze information transfer through a prototypical signaling module with biochemical feedback. The module…

Biological Physics · Physics 2015-11-06 Gerardo Aquino , Martin Zapotocky

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

Data Analysis, Statistics and Probability · Physics 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

We describe how noise propagates through a network by calculating the variance of the outputs. Using stochastic calculus and dynamical systems theory, we study the network topologies that accentuate or alleviate the effect of random…

Molecular Networks · Quantitative Biology 2011-08-15 Dionysios Barmpoutis , Richard M. Murray

It has been generally recognized that stochasticity can play an important role in the information processing accomplished by reaction networks in biological cells. Most treatments of that stochasticity employ Gaussian noise even though it…

Molecular Networks · Quantitative Biology 2015-05-30 Neda Bostani , David A. Kessler , Nadav M. Shnerb , Wouter-Jan Rappel , Herbert Levine

Cooperative interactions among the binding of multiple signaling molecules is a common mechanism for enhancing the sensitivity of biological signaling systems. It is widely assumed that this increase in sensitivity of the mean response…

Molecular Networks · Quantitative Biology 2007-05-23 William Bialek , Sima Setayeshgar

Trajectory mutual information is frequently used to quantify information transfer in biochemical systems. Tractable solutions of the trajectory mutual information can be obtained via the widely used Linear-Noise Approximation (LNA) using…

Molecular Networks · Quantitative Biology 2025-05-20 Anne-Lena Moor , Age Tjalma , Manuel Reinhardt , Pieter Rein ten Wolde , Christoph Zechner

Signaling in enzymatic networks is typically triggered by environmental fluctuations, resulting in a series of stochastic chemical reactions, leading to corruption of the signal by noise. For example, information flow is initiated by…

Statistical Mechanics · Physics 2017-07-19 Himadri S. Samanta , Michael Hinczewski , D. Thirumalai

We consider mutual information between release times and capture times for a set of M identical quanta traveling independently from a source to a target. The quanta are immediately captured upon arrival, first-passage times are assumed…

Information Theory · Computer Science 2016-11-11 Christopher Rose , I. Saira Mian , Ruochen Song

Biochemical signal transduction, a form of molecular communication, can be modeled using graphical Markov channels with input-modulated transition rates. Such channel models are strongly non-Gaussian. In this paper we use a linear noise…

Quantitative Methods · Quantitative Biology 2019-08-30 Gregory R. Hessler , Andrew W. Eckford , Peter J. Thomas

Simplified stochastic models are widely used in the study of frequency-resolved noise propagation in biochemical reaction networks, a common measure being the coherence between random fluctuations in molecule number trajectories. Such…

Molecular Networks · Quantitative Biology 2025-11-03 Juan David Marmolejo Lozano , Nikola Popovic , Ramon Grima

This letter introduces a formalism for modeling time-variant channels for diffusive molecular communication systems. In particular, we consider a fluid environment where one transmitter nano-machine and one receiver nano-machine are…

Information Theory · Computer Science 2017-03-08 Arman Ahmadzadeh , Vahid Jamali , Adam Noel , Robert Schober

In many biological networks the responses of individual elements are ambiguous. We consider a scenario in which many sensors respond to a shared signal, each with limited information capacity, and ask that the outputs together convey as…

Biological Physics · Physics 2025-12-30 Marianne Bauer , William Bialek

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Statistical properties of environments experienced by biological signaling systems in the real world change, which necessitate adaptive responses to achieve high fidelity information transmission. One form of such adaptive response is gain…

Molecular Networks · Quantitative Biology 2012-05-01 Ilya Nemenman

Across diverse biological systems -- ranging from neural networks to intracellular signaling and genetic regulatory networks -- the information about changes in the environment is frequently encoded in the full temporal dynamics of the…

Quantitative Methods · Quantitative Biology 2020-07-01 Sarah A Cepeda-Humerez , Jakob Ruess , Gašper Tkačik