Interaction-motif-based classification of self-organizing metabolic cycles

Abstract

Particles that are catalytically-active and chemotactic can interact through the concentration fields upon which they act, which in turn may lead to wide-scale spatial self-organization. When these active particles interact through several fields, these interactions gain an additional structure, which can result in new forms of collective behaviour. Here, we study a mixture of active species which catalyze the conversion of a substrate chemical into a product chemical, and chemotax in concentration gradients of both substrate and product. Such species develop non-reciprocal, specific interactions that we coarse-grain into attractive and repulsive, which can lead to a potentially complex interaction network. We consider the particular case of a metabolic cycle of three species, each of which interacts with itself and both other species in the cycle. We find that the stability of a cycle of species that only chemotax in gradients of their substrate is piloted by a set of two parameter-free conditions, which we use to classify the low number of corresponding interaction networks. In the more general case of substrate- and product-chemotactic species, we can derive a set of two high-dimensional stability conditions, which can be used to classify the stability of all the possible interaction networks based on the self- and pair-interaction motifs they contain. The classification scheme that we introduce can help guide future studies on the dynamics of complex interaction networks and explorations of the corresponding large parameter spaces in such metabolically active complex systems.

References in corpus (18)

• Why Do Proteins Look Like Proteins?
• Non-reciprocal phase transitions
• Clusters, asters and collective oscillations in chemotactic colloids
• Self-assembly of catalytically active colloidal molecules: Tailoring activity through surface chemistry
• Active phase separation in mixtures of chemically interacting particles
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Collective Thermotaxis of Thermally Active Colloids
• Are Protein Folds Atypical?
• Emergent comet-like swarming of optically driven thermally active colloids
• Light-controlled Assembly of Active Colloidal Molecules
• Self-assembly of Active Colloidal Molecules with Dynamic Function
• Enhanced diffusion and chemotaxis at the nanoscale
• Chemotactic predator-prey dynamics
• Collective Dynamics of Dividing Chemotactic Cells
• Clustering and optimal arrangement of enzymes in reaction-diffusion systems
• Self-organization of primitive metabolic cycles due to non-reciprocal interactions
• Non-equilibrium phase separation in mixtures of catalytically active particles: size dispersity and screening effects
• Network effects lead to self-organization in metabolic cycles of self-repelling catalysts

Cited by in corpus (5)

• Self-organization of primitive metabolic cycles due to non-reciprocal interactions
• Enhanced stability and chaotic condensates in multi-species non-reciprocal mixtures
• Continuous-time multifarious systems -- Part II: non-reciprocal multifarious self-organization
• Non-reciprocal interactions between condensates in chemically active mixtures
• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry