Topologically-constrained fluctuations and thermodynamics regulate nonequilibrium response

Abstract

Limits on a system's response to external perturbations inform our understanding of how physical properties can be shaped by microscopic characteristics. Here, we derive constraints on the steady-state nonequilibrium response of physical observables in terms of the topology of the microscopic state space and the strength of thermodynamic driving. Notably, evaluation of these limits requires no kinetic information beyond the state-space structure. When applied to models of receptor binding, we find that sensitivity is bounded by the steepness of a Hill function with a Hill coefficient enhanced by the chemical driving beyond the structural equilibrium limit.

25 pages, 13 figures

References in corpus (12)

• Thermodynamic uncertainty relation for biomolecular processes
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Fluctuations and response of nonequilibrium states
• An update on nonequilibrium linear response
• Effective Temperature of Red Blood Cell Membrane Fluctuations
• Forest matrices around the Laplacian matrix
• Thermodynamic and Kinetic Analysis of Sensitivity Amplification in Biological Signal Transduction
• Nonequilibrium sensing and its analogy to kinetic proofreading
• Nonequilibrium fluctuation-dissipation theorem and heat production
• Trees and forests for nonequilibrium purposes: an introduction to graphical representations
• Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks
• Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions

Cited by in corpus (12)

• Does the brain behave like a (complex) network? I. Dynamics
• Fundamental bounds on precision and response for quantum trajectory observables
• Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
• Dissipation bounds precision of current response to kinetic perturbations
• Dynamical activity universally bounds precision of response in Markovian nonequilibrium systems
• Mutual Multilinearity of Nonequilibrium Network Currents
• Nonequilibrium fluctuation-response relations for state observables
• Nonequilibrium fluctuation-response relations for state-current correlations
• Macroscopic fluctuation-response theory and its use for gene regulatory networks
• Mutual Linearity is a Generic Property of Steady-State Markov Networks
• Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
• Diagrammatic expressions for steady-state distribution and static responses in population dynamics