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A common feature of biological networks is the geometric property of self-similarity. Molecular regulatory networks through to circulatory systems, nervous systems, social systems and ecological trophic networks, show self-similar…

Molecular Networks · Quantitative Biology 2012-03-09 Simon DeDeo , David C. Krakauer

Cell signaling networks are complex and often incompletely characterized, making it difficult to obtain a comprehensive picture of the mechanisms they encode. Mathematical modeling of these networks provides important clues, but the models…

Molecular Networks · Quantitative Biology 2022-11-07 Soutick Saha , Hye-ran Moon , Bumsoo Han , Andrew Mugler

In biological cells and novel diagnostic devices biochemical receptors need to be sensitive to extremely small concentration changes of signaling molecules. The accuracy of such molecular signaling is ultimately limited by the counting…

Subcellular Processes · Quantitative Biology 2023-04-06 Aljaz Godec , Ralf Metzler

Signaling pathways serve to communicate information about extracellular conditions into the cell, to both the nucleus and cytoplasmic processes to control cell responses. Genetic mutations in signaling network components are frequently…

Molecular Networks · Quantitative Biology 2021-06-15 Michael A. Kochen , Steven S. Andrews , H. Steven Wiley , Song Feng , Herbert M. Sauro

A simple feedback control algorithm is presented for distributed beamforming in a wireless network. A network of wireless sensors that seek to cooperatively transmit a common message signal to a Base Station (BS) is considered. In this…

Information Theory · Computer Science 2007-07-16 R. Mudumbai , J. Hespanha , U. Madhow , G. Barriac

In both neuroscience and artificial intelligence, popular functional frameworks and neural network formulations operate by making use of extrinsic error measurements and global learning algorithms. Through a set of conjectures based on…

Neurons and Cognition · Quantitative Biology 2026-02-18 Linus Mårtensson , Jonas M. D. Enander , Udaya B. Rongala , Henrik Jörntell

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

Neurons and Cognition · Quantitative Biology 2023-11-07 Aran Nayebi

Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

Populations and Evolution · Quantitative Biology 2016-03-23 Olivier Rivoire

In the simplest view of transcriptional regulation, the expression of a gene is turned on or off by changes in the concentration of a transcription factor (TF). We use recent data on noise levels in gene expression to show that it should be…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , Curtis G Callan , William Bialek

A model for autonomous feedback control of particle transport through a large number of channels is introduced. Interactions among the particles can lead to a strong suppression of fluctuations in the particle number statistics. Within a…

Statistical Mechanics · Physics 2016-02-25 Tobias Brandes

Cells are regulated by networks of controllers having many targets, and targets affected by many controllers, but these "many-to-many" combinatorial control systems are poorly understood. Here we analyze distinct cellular networks…

Molecular Networks · Quantitative Biology 2012-01-06 Jacob D. Feala , Jorge Cortes , Phillip M. Duxbury , Andrew D. McCulloch , Carlo Piermarocchi , Giovanni Paternostro

How can a microorganism adapt to a variety of environmental conditions despite there exists a limited number of signal transduction machineries? We show that for any growing cells whose gene expression is under stochastic fluctuations,…

Molecular Networks · Quantitative Biology 2015-05-13 Chikara Furusawa , Kunihiko Kaneko

Active sensing is traditionally defined as the expenditure of energy, typically in the form of movement, for obtaining information. Here, we propose that the combination of reliance on adaptive sensors, the linkage between movement and…

Neurons and Cognition · Quantitative Biology 2026-05-25 Andrew Lamperski , Debojyoti Biswas , Eric S. Fortune , John Guckenheimer , Kathleen Hoffman , Noah J. Cowan

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of…

Optimization and Control · Mathematics 2026-04-13 Mohamed Amine Ouchdiri , Hamza Faquir , Saad Benjelloun , Mohamed Adlene Maghenem , Irene Otero-Muras , Adnane Saoud

A learning approach for optimal feedback gains for nonlinear continuous time control systems is proposed and analysed. The goal is to establish a rigorous framework for computing approximating optimal feedback gains using neural networks.…

Optimization and Control · Mathematics 2020-08-27 Karl Kunisch , Daniel Walter

We propose a general strategy for feedback control design of complex dynamical systems exploiting the nonlinear mechanisms in a systematic unsupervised manner. These dynamical systems can have a state space of arbitrary dimension with…

Chaotic Dynamics · Physics 2013-11-22 Thomas Duriez , Vladimir Parezanovic , Bernd R. Noack , Laurent Cordier , Marc Segond , Markus Abel

Life depends as much on the flow of information as on the flow of energy. Here we review the many efforts to make this intuition precise. Starting with the building blocks of information theory, we explore examples where it has been…

Quantitative Methods · Quantitative Biology 2014-12-31 Gašper Tkačik , William Bialek

Information exchange is a critical process in all communication systems, including biological ones. The concept of retroactivity represents the loads that downstream modules apply to their upstream systems in biological circuits. This paper…

Emerging Technologies · Computer Science 2021-08-13 Francesca Ratti , Maurizio Magarini , Domitilla Del Vecchio

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Ariany C. Oliveira , Victor C. S. Campos , Leonardo. A. Mozelli

Biological organisms are adaptive, able to function in unpredictably changing environments. Drawing on recent nonequilibrium physics, we show that in adaptation, fitness has two components parameterized by observable coordinates: a static…

Statistical Mechanics · Physics 2026-02-19 Ying-Jen Yang , Charles D. Kocher , Ken A. Dill