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In complex networked systems theory, an important question is how to evaluate the system robustness to external perturbations. With this task in mind, I investigate the propagation of noise in multi-layer networked systems. I find that, for…

Adaptation and Self-Organizing Systems · Physics 2022-07-15 Melvyn Tyloo

Noise in the local transition function is compared to fluctuations in the updating times of the cells. Obtained results are shown to be quite different in both cases. In this extended abstract we briefly explain the problem and present…

Cellular Automata and Lattice Gases · Physics 2016-08-16 Luís Correia , Thomas Wehrle

Understanding under which conditions the increase of systems complexity is evolutionary advantageous, and how this trend is related to the modulation of the intrinsic noise, are fascinating issues of utmost importance for synthetic and…

Molecular Networks · Quantitative Biology 2018-08-01 Fabrizio Pucci , Marianne Rooman

"Noise-induced volatility" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical…

Statistical Mechanics · Physics 2012-02-01 Georges Harras , Claudio J. Tessone , Didier Sornette

We discuss intrinsic mechanisms of nonequilibrium excess noise in superconducting devices and transition edge sensors. In particular, we present an overview of fluctuation-driven contributions to the current noise in the vicinity of the…

Superconductivity · Physics 2023-08-25 Juhun Kwak , Emil Pellett , Elio J. König , Alex Levchenko

NF-{\kappa}B, one of key regulators of inflammation, apoptosis, and differentiation, was found to have noisy oscillatory shuttling between the nucleus and the cytoplasm in single cells when cells are stimulated by cytokine TNF{\alpha}. We…

Molecular Networks · Quantitative Biology 2010-10-11 Jaewook Joo

With the growing efforts in isolating solid-state qubits from external decoherence sources, the material-inherent sources of noise start to play crucial role. One representative example is electron traps in the device material or substrate.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. M. Galperin , B. L. Altshuler , D. V. Shantsev

With the growing efforts in isolating solid-state qubits from external decoherence sources, the origins of noise inherent to the material start to play a relevant role. One representative example are charged impurities in the device…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Gutmann , F. K. Wilhelm , W. M. Kaminsky , S. Lloyd

A general approach to consider spatially extended stochastic systems with correlations between additive and multiplicative noises subject to nonlinear damping is developed. Within modified cumulant expansion method, we derive an effective…

Statistical Mechanics · Physics 2009-11-10 A. I. Olemskoi , D. O. Kharchenko , I. A. Knyaz'

Typical experimental measurement is set up as a study of the system's response to a stationary external excitation. This approach considers any random fluctuation of the signal as spurious contribution which is to be eliminated via…

The regulation of cellular function is often controlled at the level of gene transcription. Such genetic regulation usually consists of interacting networks, whereby gene products from a single network can act to control their own…

Biological Physics · Physics 2009-11-06 Jeff Hasty , Joel Pradines , Milos Dolnik , J. J. Collins

A protein undergoes conformational dynamics with multiple time scales, which results in fluctuating enzyme activities. Recent studies in single molecule enzymology have observe this "age-old" dynamic disorder phenomenon directly. However,…

Biomolecules · Quantitative Biology 2009-11-10 Zhanghan Wu , Vlad Elgart , Hong Qian , Jianhua Xing

Robust oscillations play crucial roles in a wide variety of biological processes and are often generated by deterministic mechanisms. However, stochastic fluctuations often generate complex perturbations of these deterministic oscillations,…

Dynamical Systems · Mathematics 2026-03-27 Xuesong Bai , Jonathan Touboul , Thomas G. Fai

We present the theoretical analysis of steady state regimes and low-frequency noises in quasi-ballistic FETs. The noise analysis is based on the Langevin approach, which accounts for the microscopic sources of fluctuations originated from…

Mesoscale and Nanoscale Physics · Physics 2022-11-22 Mykola Yelisieiev , Vyacheslav Kochelap

Noisy fluctuations are ubiquitous in complex systems. They play a crucial or delicate role in the dynamical evolution of gene regulation, signal transduction, biochemical reactions, among other systems. Therefore, it is essential to…

Dynamical Systems · Mathematics 2018-11-05 Jinqiao Duan , Hui Wang

The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. Firstly, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two…

Molecular Networks · Quantitative Biology 2015-05-14 Ming-Chang Huang , Jinn-Wen Wu , Yu-Pin Luo , Karen G. Petrosyan

In this paper, we investigate a Langevin model subjected to stochastic intensity noise (SIN), which incorporates temporal fluctuations in noise-intensity. We derive a higher-order Fokker-Planck equation (HFPE) of the system, taking into…

Statistical Mechanics · Physics 2011-01-25 Yoshihiko Hasegawa , Masanori Arita

The stochastic mutual repressor model is analysed using perturbation methods. This simple model of a gene circuit consists of two genes and three promotor states. Either of the two protein products can dimerize, forming a repressor molecule…

Biological Physics · Physics 2014-06-12 Jay Newby

Even in the steady-state, the number of biomolecules in living cells fluctuates dynamically; and the frequency spectrum of this chemical fluctuation carries valuable information about the mechanism and the dynamics of the intracellular…

Biological Physics · Physics 2018-08-21 Sanggeun Song , Gil-Suk Yang , Seong Jun Park , Ji-Hyun Kim , Jaeyoung Sung

The over-damped motion of a Brownian particle in an asymmetric, bistable, fluctuating potential shows noise induced stability: For intermediate fluctuation rates the mean occupancy of minima with an energy above the absolute minimum is…

Statistical Mechanics · Physics 2009-10-31 Andreas Mielke