Excitable reaction-diffusion waves of curvature-inducing proteins on deformable membrane tubes

Abstract

Living cells employ excitable reaction-diffusion waves for internal cellular functions, in which curvature-inducing proteins are often involved. However, the role of their mechanochemical coupling is not well understood. Here, we report the membrane deformation induced by the excitable reaction-diffusion waves of curvature-inducing proteins and the alternation in the waves due to the deformation, using a coarse-grained simulation of tubular membranes with a modified FitzHugh--Nagumo model. Protein-propagating waves deform tubular membranes, and large deformations induce budding and erase waves. The wave speed and shape are determined by a combination of membrane deformation and spatial distribution of the curvature-inducing protein. Waves are also undulated in the azimuthal direction depending on the condition. Rotationally symmetric waves locally deform the tubes into a symmetric shape but maintain a straight shape on average. Our simulation method can be applied to other chemical reaction models and used to investigate various biomembrane phenomena.

arXiv comment12 pages, 15 figures

References in corpus (12)

• Pearling Instabilities of Membrane Tubes with Anchored Polymers
• Model for curvature-driven pearling instability in membranes
• Pattern Formation in Reaction-Diffusion System on Membrane with Mechanochemical Feedback
• Nucleation of reaction-diffusion waves on curved surfaces
• Binding of thermalized and active membrane curvature-inducing proteins
• Reaction-Diffusion Waves Coupled with Membrane Curvature
• Shape transition from elliptical to cylindrical membrane tubes induced by chiral crescent-shaped protein rods
• Vesicle budding induced by binding of curvature-inducing proteins
• Binding of anisotropic curvature-inducing proteins onto membrane tubes
• Binding of Curvature-Inducing Proteins onto Biomembranes
• Binding of curvature-inducing proteins onto tethered vesicles
• Curved surface geometry-induced topological change of an excitable planar wave

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• Binding of Curvature-Inducing Proteins onto Biomembranes
• Nonequilibrium Membrane Dynamics Induced by Active Protein Interactions and Chemical Reactions: A Review
• Membrane domain formation induced by binding/unbinding of curvature-inducing molecules onto both membrane surfaces
• Curvature-sensing and generation by membrane proteins: a review
• Spatiotemporal pattern formation of membranes induced by surface molecular binding/unbinding
• Turing patterns on polymerized membranes: a coarse-grained lattice modelling with internal degree of freedom for polymer direction