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Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

Statistical Mechanics · Physics 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

Random fluctuations caused by environmental noise can lead to decoherence in quantum systems. Exploring and controlling such dissipative processes is both fundamentally intriguing and essential for harnessing quantum systems to gain…

Non-linear oscillators serve important functions in many biological systems, including within the inner ear and neuronal networks. The sustainment of oscillations in noisy environments requires continuous energy dissipation, quantified by…

Statistical Mechanics · Physics 2026-04-28 Anton F. Burnet , Vansh Kharbanda , David Tobias , Benedikt Sabass

We show how one may analytically compute the stationary density of the distribution of molecular constituents in populations of cells in the presence of noise arising from either bursting transcription or translation, or noise in…

Molecular Networks · Quantitative Biology 2015-10-15 Michael C. Mackey , Marta Tyran-Kamińska , Romain Yvinec

Synthetic genetic circuits are implemented in living cells for their operation. During gene expression, proteins are produced from the respective genes, by formation of complexes through the process of transcription and translation. In…

Molecular Networks · Quantitative Biology 2021-12-10 Priya Chakraborty , Sayantari Ghosh

We study the information dynamics in a network of spin-$1/2$ particles when edges representing $XY$ interactions are randomly added to a disconnected graph accordingly to a probability distribution characterized by a "weighting" parameter.…

Quantum Physics · Physics 2015-04-24 Umer Farooq , Stefano Mancini

Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise', is predominantly generated by interactions of the system…

Molecular Networks · Quantitative Biology 2008-09-18 Vahid Shahrezaei , Julien F Ollivier , Peter S Swain

This paper deals with the phase noise affecting communication systems, where local oscillators are employed to obtain reference signals for carrier and timing synchronizations. The most common discrete-time phase noise channel model is…

Information Theory · Computer Science 2024-06-21 Amina Piemontese , Giulio Colavolpe , Thomas Eriksson

Information-to-energy conversion with feedback measurement stands as one of the most intriguing aspects of the thermodynamics of information in the nanoscale. To date, experiments have focused on feedback protocols for work extraction. Here…

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains…

Statistical Mechanics · Physics 2009-11-11 T. Bodineau , B. Derrida

We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

Probability · Mathematics 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere

The dynamics and structure of nonequilibrium liquids, driven by non-conservative forces which can be either external or internal, generically hold the signature of the net dissipation of energy in the thermostat. Yet, disentangling…

Statistical Mechanics · Physics 2019-11-06 Laura Tociu , Étienne Fodor , Takahiro Nemoto , Suriyanarayanan Vaikuntanathan

Understanding how information can efficiently spread in distributed systems under noisy communications is a fundamental question in both biological research and artificial system design. When agents are able to control whom they interact…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-11 Niccolò D'Archivio , Amos Korman , Emanuele Natale , Robin Vacus

We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the…

Statistical Mechanics · Physics 2021-08-25 Chloe Ya Gao , David T. Limmer

The effect of small-amplitude noise on excitable systems with large time-scale separation is analyzed. It is found that small random perturbations of the fast excitatory variable result in the onset of a quasi-deterministic limit cycle…

Quantitative Methods · Quantitative Biology 2007-05-23 Cyrill B. Muratov , Eric Vanden-Eijnden , Weinan E

We assess the impact of cell cycle noise on gene circuit dynamics. For bistable genetic switches and excitable circuits, we find that transitions between metastable states most likely occur just after cell division and that this…

Molecular Networks · Quantitative Biology 2016-12-21 Alan Veliz-Cuba , Chinmaya Gupta , Matthew R. Bennett , Krešimir Josić , William Ott

Theoretical arguments and empirical evidence in neuroscience suggests that organisms represent or model their environment by minimizing a variational free-energy bound on the surprise associated with sensory signals from the environment. In…

Neurons and Cognition · Quantitative Biology 2017-05-24 Biswa Sengupta , Karl Friston

Distributed computing models typically assume reliable communication between processors. While such assumptions often hold for engineered networks, e.g., due to underlying error correction protocols, their relevance to biological systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Ofer Feinerman , Bernhard Haeupler , Amos Korman

We observe the propagation of information in a system of self-replicating strings of code (``Artificial Life'') as a function of fitness and mutation rate. Comparison with theoretical predictions based on the reaction-diffusion equation…

adap-org · Physics 2008-02-03 Johan Chu , Chris Adami

Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been…

Biological Physics · Physics 2013-05-29 Fakhteh Ghanbarnejad , Konstantin Klemm