Chemical kinetics on surfaces: A singular limit of a reaction-diffusion system

G. Fibich; I. Gannot; A. Hammers; S. Schochet

doi:10.1137/050633767

Chemical kinetics on surfaces: A singular limit of a reaction-diffusion system

G. Fibich, I. Gannot, A. Hammers, S. Schochet

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that chemical kinetics relations can be used to describe processes that involve binding and dissociation reactions that take place on surfaces. From a mathematical perspective, the problem we study is a singular limit of a reaction-diffusion system in which one of the variables concentrates on a lower-dimensional set in the limit, while the other continues to diffuse in a fixed domain.

Original language	English (US)
Pages (from-to)	1371-1388
Number of pages	18
Journal	SIAM Journal on Mathematical Analysis
Volume	38
Issue number	5
DOIs	https://doi.org/10.1137/050633767
State	Published - 2006
Externally published	Yes

Keywords

Binding
Chemical kinetics
Dissociation
Invariant region
Singular limit
Surface

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/050633767

Cite this

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abstract = "We show that chemical kinetics relations can be used to describe processes that involve binding and dissociation reactions that take place on surfaces. From a mathematical perspective, the problem we study is a singular limit of a reaction-diffusion system in which one of the variables concentrates on a lower-dimensional set in the limit, while the other continues to diffuse in a fixed domain.",

keywords = "Binding, Chemical kinetics, Dissociation, Invariant region, Singular limit, Surface",

author = "G. Fibich and I. Gannot and A. Hammers and S. Schochet",

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T2 - A singular limit of a reaction-diffusion system

AU - Fibich, G.

AU - Gannot, I.

AU - Hammers, A.

AU - Schochet, S.

PY - 2006

Y1 - 2006

N2 - We show that chemical kinetics relations can be used to describe processes that involve binding and dissociation reactions that take place on surfaces. From a mathematical perspective, the problem we study is a singular limit of a reaction-diffusion system in which one of the variables concentrates on a lower-dimensional set in the limit, while the other continues to diffuse in a fixed domain.

AB - We show that chemical kinetics relations can be used to describe processes that involve binding and dissociation reactions that take place on surfaces. From a mathematical perspective, the problem we study is a singular limit of a reaction-diffusion system in which one of the variables concentrates on a lower-dimensional set in the limit, while the other continues to diffuse in a fixed domain.

KW - Binding

KW - Chemical kinetics

KW - Dissociation

KW - Invariant region

KW - Singular limit

KW - Surface

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ER -

Chemical kinetics on surfaces: A singular limit of a reaction-diffusion system

Abstract

Keywords

ASJC Scopus subject areas

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