Reversible reactions controlled by surface diffusion on a sphere
arXiv:1909.12365 · doi:10.1063/1.5119969
Abstract
We study diffusion of particles on the surface of a sphere toward a partially reactive circular target with partly reversible binding kinetics. We solve the coupled diffusion-reaction equations and obtain the exact expressions for the time-dependent concentration of particles and the total diffusive flux. Explicit asymptotic formulas are derived in the small target limit. This study reveals the strong effects of reversible binding kinetics onto diffusion-mediated reactions that may be relevant for many biochemical reactions on cell membranes.
References in corpus (27)
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
- Geometry-controlled kinetics
- Geometrical structure of Laplacian eigenfunctions
- Diffusion-limited reactions in dynamic heterogeneous media
- Optimal reaction time for surface-mediated diffusion
- Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control
- Origin of subdiffusion of water molecules on cell membrane surfaces
- Diffusive escape through a narrow opening: new insights into a classic problem
- Towards a full quantitative description of single-molecule reaction kinetics in biological cells
- Mean first-passage time of surface-mediated diffusion in spherical domains
- Inferring maps of forces inside cell membrane microdomains
- Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces
- Explicit Construction of the Brownian Self-Transport Operator
- Partially Reflected Brownian Motion: A Stochastic Approach to Transport Phenomena
- Kinetics of active surface-mediated diffusion in spherically symmetric domains
- Theory of diffusion-influenced reactions in complex geometries
- Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries
- A unifying approach to first-passage time distributions in diffusing diffusivity and switching diffusion models
- Exact mean exit time for surface-mediated diffusion
- Imperfect Diffusion-Controlled Reactions
- Non-Gaussian diffusion of mixed origins
- Fluctuations and correlations in chemical reaction kinetics and population dynamics
- Exact Green's Function of the reversible diffusion-influenced reaction for an isolated pair in 2D
- Reversible diffusion-influenced reactions of an isolated pair on two dimensional surfaces
- Steady-state reaction rate of diffusion-controlled reactions in sheets
- On Parameter Differentiation for Integral Representations of Associated Legendre Functions
- Legendre Functions of Fractional Degree: Transformations and Evaluations
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- A first-passage approach to diffusion-influenced reversible binding: insights into nanoscale signaling at the presynapse
- Microscopic Theory of Adsorption Kinetics
- Search efficiency in the Adam-Delbrück reduction-of-dimensionality scenario versus direct diffusive search
- Escape of a Sticky Particle
- Escape from textured adsorbing surfaces