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Particle-like objects are observed to propagate and interact in many spatially extended dynamical systems. For one of the simplest classes of such systems, one-dimensional cellular automata, we establish a rigorous upper bound on the number…

Cellular Automata and Lattice Gases · Physics 2009-10-31 Wim Hordijk , Cosma Rohilla Shalizi , James P. Crutchfield

The deep connection between thermodynamics, computation, and information is now well established both theoretically and experimentally. Here, we extend these ideas to show that thermodynamics also places fundamental constraints on…

Biological Physics · Physics 2014-10-08 Alex H. Lang , Charles K. Fisher , Thierry Mora , Pankaj Mehta

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of…

Cell Behavior · Quantitative Biology 2016-03-30 Malay Banerjee , Vitaly Volpert

We consider a three-terminal state-dependent relay channel with the channel state available non-causally at only the source. Such a model may be of interest for node cooperation in the framework of cognition, i.e., collaborative signal…

Information Theory · Computer Science 2016-11-17 Abdellatif Zaidi , Shlomo Shamai , Pablo Piantanida , Luc Vandendorpe

Organisms use specialized sensors to measure their environments, but the fundamental principles that determine their accuracy remain largely unknown. In Escherichia coli chemotaxis, we previously found that gradient-climbing speed is…

Biological Physics · Physics 2025-08-28 Henry H. Mattingly , Keita Kamino , Jude Ong , Rafaela Kottou , Thierry Emonet , Benjamin B. Machta

Spatial and temporal resource constraints are critical for both biological and artificial intelligent systems. Here we define differentiable cost terms for breadth, depth, and time within a recurrent convolutional neural network conceived…

Neurons and Cognition · Quantitative Biology 2026-05-26 Eivinas Butkus , Kedar Garzón Gupta , Nikolaus Kriegeskorte

Many biological decision-making processes can be viewed as performing a classification task over a set of inputs, using various chemical and physical processes as "biological hardware." In this context, it is important to understand the…

Disordered Systems and Neural Networks · Physics 2024-09-10 Carlos Floyd , Aaron R. Dinner , Arvind Murugan , Suriyanarayanan Vaikuntanathan

Concurrent presence of inter-cell and intra-cell interferences constitutes a major impediment to reliable downlink transmission in multi-cell multiuser networks. Harnessing such interferences largely hinges on two levels of information…

Information Theory · Computer Science 2016-08-24 Ali Tajer , Xiaodong Wang

Cognitive relaying has been introduced for opportunistic spectrum access systems by which a secondary node forwards primary packets whenever the primary link faces an outage condition. For spectrum sharing systems, cognitive relaying is…

Networking and Internet Architecture · Computer Science 2013-04-02 F. Foukalas , T. Khattab , H. V. Poor

Due to energy-efficiency requirements, computational systems are now being implemented using noisy nanoscale semiconductor devices whose reliability depends on energy consumed. We study circuit-level energy-reliability limits for deep…

Information Theory · Computer Science 2020-03-17 Avhishek Chatterjee , Lav R. Varshney

Flexible energy resources can help balance the power grid by providing different types of ancillary services. However, the balancing potential of most types of resources is restricted by physical constraints such as the size of their energy…

Systems and Control · Computer Science 2018-06-22 Fabian L. Müller , Stefan Woerner , John Lygeros

A variety of biomolecular systems rely on exploratory dynamics to reach target locations or states within a cell. Without a mechanism to remotely sense and move directly towards a target, the system must sample over many paths, often…

Biological Physics · Physics 2025-09-01 Elena F Koslover , Milo M Lin , Rob Phillips

The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems, or networks, typically affected by high levels of…

Optimization and Control · Mathematics 2021-04-28 Isaac Klickstein , Francesco Sorrentino

Intercellular signaling has an important role in organism development, but not all communication occurs using the same mechanism. Here, we analyze the energy efficiency of intercellular signaling by two canonical mechanisms: diffusion of…

Quantitative Methods · Quantitative Biology 2022-11-30 Hyunjoong Kim , Yoichiro Mori , Joshua B. Plotkin

Accurate sensing of chemical concentrations is essential for numerous biological processes. The accuracy of this sensing, for small numbers of molecules, is limited by shot noise. Corresponding theoretical limits on sensing precision, as a…

Biological Physics · Physics 2026-02-09 Ketevan Danelia , Sean A. Ridout , Ilya Nemenman

This paper studies the capacity of massive random-access cellular networks, modeled as a MIMO fading channel with an infinite number of interfering cells. To characterize the symmetric sum rate of the network, a random-coding argument is…

Information Theory · Computer Science 2025-09-26 Grace Villacrés , Tobias Koch , Gonzalo Vazquez-Vilar

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

In this paper, we study the uplink of a cellular system using the linear deterministic approximation model, where there are two users transmitting to a receiver, mutually interfering with a third transmitter communicating with a second…

Information Theory · Computer Science 2011-04-04 J. Buehler , G. Wunder

Stochastic fluctuations of molecular abundances are a ubiquitous feature of cellular processes and lead to significant cell-to-cell variability. Recent theoretical work established lower bounds for stochastic fluctuations in cells for broad…

Molecular Networks · Quantitative Biology 2025-05-06 Brayden Kell , Andreas Hilfinger

We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

Theoretical Economics · Economics 2020-01-16 Drew Fudenberg , Kevin He