Chemical reaction motifs driving non-equilibrium behaviors in phase separating materials

Abstract

Chemical reactions that couple to systems that phase separate have been implicated in diverse contexts from biology to materials science. However, how a particular set of chemical reactions (chemical reaction network, CRN) would affect the behaviors of a phase separating system is difficult to fully predict theoretically. In this paper, we analyze a mean field theory coupling CRNs to phase separating materials and expound on how the properties of the CRNs affect different classes of non-equilibrium behaviors: the emergence of microphase separation or of temporally oscillating patterns. We examine the problem of achieving microphase separated condensates by first considering tractable problems and illustrating the mathematical conditions leading to microphase separation. We then identify CRN motifs that are likely to yield size control by examining randomly generated networks and parameters. By analyzing the probabilities to observe particular states, we define simple design rules of CRNs that lead to desired non-equilibrium behavior. We show that chemical interactions generating negative feedback facilitate microphase separation, moreover, we demonstrate that the parameters important for the emergence of microphase separation differ for systems with two or four components, due to frustration. Our results provide guidance toward the design of self-regulating material CRNs and provide instructions to manage the formation, dissolution, and organization of compartments.

arXiv comment17 pages, 7 figures

References in corpus (19)

• Theory of Chemical Kinetics and Charge Transfer based on Nonequilibrium Thermodynamics
• Growth and Division of Active Droplets: A Model for Protocells
• Antithetic Integral Feedback ensures robust perfect adaptation in noisy biomolecular networks
• Physics of Active Emulsions
• Model for disordered proteins with strongly sequence-dependent liquid phase behavior
• Self-propulsion of chemically-active droplets
• Phase behavior and morphology of multicomponent liquid mixtures
• Theories of Binary Fluid Mixtures: From Phase-Separation Kinetics to Active Emulsions
• Thermodynamic Stability of Driven Open Systems and Control of Phase Separation by Electro-autocatalysis
• Charge Pattern Matching as a "Fuzzy" Mode of Molecular Recognition for the Functional Phase Separations of Intrinsically Disordered Proteins
• Ephemeral protein binding to DNA shapes stable nuclear bodies and chromatin domains
• Designing morphology of separated phases in multicomponent liquid mixtures
• Non-equilibrium phase separation with reactions: A canonical model and its behaviour
• Nonequilibrium Thermodynamics of Non-Ideal Chemical Reaction Networks
• Numerical Techniques for Applications of Analytical Theories to Sequence-Dependent Phase Separations of Intrinsically Disordered Proteins
• A mechanism for reversible mesoscopic aggregation in liquid solutions
• Phase Transitions Affected by Natural and Forceful Molecular Interconversion
• Physical interactions promote Turing patterns
• Chemical reaction motifs driving non-equilibrium behaviors in phase separating materials

Cited by in corpus (1)

• Chemical reaction motifs driving non-equilibrium behaviors in phase separating materials