Multiple Pareto-optimal solutions of the dissipation-adaptation trade-off

Abstract

Adaptation refers to the ability to recover and maintain ``normal'' function upon perturbations of internal or external conditions and is essential for sustaining life. Biological adaptation mechanisms are dissipative, i.e. they require a supply of energy such as the coupling to the hydrolysis of ATP. Via evolution the underlying biochemical machinery of living organisms evolved into highly optimized states. However, in the case of adaptation processes two quantities are optimized simultaneously, the adaptation speed or accuracy and the thermodynamic cost. In such cases one typically faces a trade-off, where improving one quantity implies worsening the other. The solution is no longer unique but rather a Pareto set -- the set of all physically attainable protocols along which no quantity can be improved without worsening another. Here we investigate Pareto fronts in adaptation-dissipation trade-offs for a cellular thermostat and a minimal ATP-driven receptor-ligand reaction network. We find convex sections of Pareto fronts to be interrupted by concave regions, implying the coexistence of distinct optimization mechanisms. We discuss the implications of such ``compromise-optimal'' solutions and argue that they may endow biological systems with a superior flexibility to evolve, resist, and adapt to different environments.

arXiv comment14 pages, 7 figures

References in corpus (20)

• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation bounds all steady-state current fluctuations
• Optimal finite-time processes in stochastic thermodynamics
• The Three Faces of the Second Law: I. Master Equation Formulation
• The Three Faces of the Second Law: II. Fokker-Planck Formulation
• Thermodynamic costs of information processing in sensory adaption
• Second-law-like inequalities with information and their interpretations
• Stochastic thermodynamics: From principles to the cost of precision
• Universal Bound on the Fano Factor in Enzyme Kinetics
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control
• Phase transition in protocols minimizing work fluctuations
• Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
• Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways
• Thermodynamic Uncertainty Relation Bounds the Extent of Anomalous Diffusion
• Finite-time adiabatic processes: derivation and speed limit
• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Phase transitions in optimal strategies for betting
• Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
• Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways