Pattern Formation in Reaction-Diffusion System on Membrane with Mechanochemical Feedback

Abstract

Shapes of biological membranes are dynamically regulated in living cells. Although membrane shape deformation by proteins at thermal equilibrium has been extensively studied, nonequilibrium dynamics have been much less explored. Recently, chemical reaction propagation has been experimentally observed in plasma membranes. Thus, it is important to understand how the reaction-diffusion dynamics are modified on deformable curved membranes. Here, we investigated nonequilibrium pattern formation on vesicles induced by mechanochemical feedback between membrane deformation and chemical reactions, using dynamically triangulated membrane simulations combined with the Brusselator model. We found that membrane deformation changes stable patterns relative to those that occur on a non-deformable curved surface, as determined by linear stability analysis. We further found that budding and multi-spindle shapes are induced by Turing patterns, and we also observed the transition from oscillation patterns to stable spot patterns. Our results demonstrate the importance of mechanochemical feedback in pattern formation on deforming membranes.

arXiv comment27 pages, 11 figures

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Cited by in corpus (15)

• Pattern Propagation Driven by Surface Curvature
• Binding of thermalized and active membrane curvature-inducing proteins
• Reaction-Diffusion Waves Coupled with Membrane Curvature
• Vesicle budding induced by binding of curvature-inducing proteins
• Sensing the shape of a cell with reaction-diffusion and energy minimization
• Membrane shape deformation induced by curvature-inducing proteins consisting of chiral crescent binding and intrinsically disordered domains
• Binding of anisotropic curvature-inducing proteins onto membrane tubes
• Binding of Curvature-Inducing Proteins onto Biomembranes
• Geometry-induced patterns through mechanochemical coupling
• Excitable reaction-diffusion waves of curvature-inducing proteins on deformable membrane tubes
• Nonequilibrium Membrane Dynamics Induced by Active Protein Interactions and Chemical Reactions: A Review
• Curvature-sensing and generation by membrane proteins: a review
• Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces
• Oscillatory and chaotic pattern dynamics driven by surface curvature
• Spatiotemporal pattern formation of membranes induced by surface molecular binding/unbinding