Work

Macroscopic Fluctuation-Response Theory and Its Use for Gene Regulatory Networks

Year: 2026

Type: article

Abstract: Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the power spectral density of stationary fluctuations to the linear response of stable nonequilibrium steady states. Both of these can be determined experimentally and used to reconstruct the kernel of the linearized dynamics and the diffusion matrix, and thus any features of the Gaussian theory. We apply our theory to gene regulatory networks with negative feedback, and derive an explicit internal-external noise decomposition of the power spectral density for any networks, including cross-correlations.

Source: Physical Review Letters

DOI: 10.1103/2b12-3vrx

Authors: Timur Aslyamov, Krzysztof Ptaszyński, Massimiliano Esposito

Institutions: University of Luxembourg, Institute of Molecular Physics of the Polish Academy of Sciences, Polish Academy of Sciences

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Fonds National de la Recherche Luxembourg, Narodowe Centrum Nauki, Narodowym Centrum Nauki

Awards: G3804019631, G5194357990, G5912056747, G6398907569