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A system of interacting particles described by stochastic differential equations is considered. As oppopsed to the usual model, where the noise perturbations acting on different particles are independent, here the particles are subject to…

Analysis of PDEs · Mathematics 2016-06-23 Michele Coghi , Franco Flandoli

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

Species or population that proliferate faster than others become dominant in numbers. Catalysis allows catalytic sets within a molecular reaction network to dominate the non catalytic parts of the network by processing most of the available…

Cell Behavior · Quantitative Biology 2016-08-31 Rudolf Hanel

The study of biological cells in terms of mesoscopic, nonequilibrium, nonlinear, stochastic dynamics of open chemical systems provides a paradigm for other complex, self-organizing systems with ultra-fast stochastic fluctuations, short-time…

Chemical Physics · Physics 2014-11-06 Hong Qian

Based on a Fokker-Planck description of external Ornstein-Uhlenbeck noise and cross-correlated noise processes driving a dynamical system we examine the interplay of the properties of noise processes and the dissipative characteristic of…

Statistical Mechanics · Physics 2009-11-07 Bidhan Chandra Bag , Suman Kumar Banik , Deb Shankar Ray

In most natural sciences there is currently the insight that it is necessary to bridge gaps between different processes which can be observed on different scales. This is especially true in the field of chemical reactions where the…

Molecular Networks · Quantitative Biology 2008-03-03 L. Sbano , M. Kirkilionis

The presence of noise in non linear dynamical systems can play a constructive role, increasing the degree of order and coherence or evoking improvements in the performance of the system. An example of this positive influence in a biological…

Dynamical Systems · Mathematics 2016-09-07 M. -P. Zorzano , L. Vazquez

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

Transport phenomena are fundamental in Physics. They allow for information and energy to be exchanged between individual constituents of communication systems, networks or even biological entities. Environmental noise will generally hinder…

Quantum Physics · Physics 2009-11-13 M. B. Plenio , S. F. Huelga

Signal propagation in biochemical networks is characterized by the inherent randomness in gene expression and fluctuations of the environmental components, commonly known as intrinsic and extrinsic noise, respectively. We present a…

Molecular Networks · Quantitative Biology 2024-08-09 Mintu Nandi , Sudip Chattopadhyay , Somshubhro Bandyopadhyay , Suman K Banik

The fluctuating dynamics of a network about its stable, noise-free steady state are theoretically investigated. Various causes of non-equilibrium dynamics are identified in terms of the properties and symmetry of the network connections and…

Statistical Mechanics · Physics 2026-04-15 Pik-Yin Lai

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

The efficiency of the future devices for quantum information processing is limited mostly by the finite decoherence rates of the qubits. Recently a substantial progress was achieved in enhancing the time, which a solid-state qubit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J Bergli , Y M Galperin , B L Altshuler

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

The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear map and a pair of coupled…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha

The dynamics of a two-species community of $N$ competing individuals is considered, with an emphasis on the role of environmental variations that affect coherently the fitness of entire populations. The chance of fixation of a mutant…

Populations and Evolution · Quantitative Biology 2018-02-01 Immanuel Meyer , Nadav M. Shnerb

Molecular noise in gene regulatory networks has two intrinsic components, one part being due to fluctuations caused by the birth and death of protein or mRNA molecules which are often present in small numbers and the other part arising from…

Molecular Networks · Quantitative Biology 2015-11-17 Davit A. Potoyan , Peter G. Wolynes

Regulatory networks describe the interactions between molecular or cellular regulators, like transcription factors and genes in gene regulatory networks, kinases and their receptors in signalling networks, or neurons in neural networks. A…

Molecular Networks · Quantitative Biology 2022-12-29 Niklas Bonacker , Johannes Berg

We have studied decoherence in a system where two Josephson-junction flux qubits share a part of their superconducting loops and are inductively coupled. By tuning the flux bias condition, we control the sensitivities of the energy levels…

Superconductivity · Physics 2010-07-08 Fumiki Yoshihara , Yasunobu Nakamura , Jaw-Shen Tsai

Impurity spins randomly distributed at the surfaces and interfaces of superconducting wires are known to cause flux noise in Superconducting Quantum Interference Devices, providing a mechanism for decoherence in superconducting qubits.…

Quantum Physics · Physics 2022-10-18 José Alberto Nava Aquino , Rogério de Sousa