Reaction rate of small diffusing molecules on a cylindrical membrane

DOI10.1007/s10955-007-9371-4zbMath1206.82150OpenAlexW2013740267MaRDI QIDQ2465495

Michael J. Ward, Martin Falcke, Ronny Straube

Publication date: 4 January 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-007-9371-4

zbMATH Keywords

asymptotic matchingdiffusion limited reactionsingularly perturbed domainscluster rateregular part of the Green's function

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60)

Related Items (8)

Escape from Subcellular Domains with Randomly Switching Boundaries ⋮ Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain ⋮ Accumulation Time of Diffusion in a 3D Singularly Perturbed Domain ⋮ On an asymptotic formula for the maximum voltage drop in a on-chip power distribution network ⋮ Derivation of the maximum voltage drop in power grids of integrated circuits with an array bonding package ⋮ The search for a DNA target in the nucleus ⋮ Two-dimensional droplet ripening in a concentration gradient ⋮ Asymptotic analysis of first passage time problems inspired by ecology

Uses Software

• Matlab
• Partial Differential Equation Toolbox

Cites Work

• Multiple scale and singular perturbation methods
• DIFFUSION AND BIFURCATION PROBLEMS IN SINGULARLY PERTURBED DOMAINS
• A Guide to First-Passage Processes
• Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
• Singular Perturbations of Elliptic Problems on Domains with Small Holes
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