The influence of diffusion on the rate of a reversible quasi-unimolecular reaction in one, two or three dimensions

Nancy L. Thompson, Thomas P Burghardt

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The role of diffusion in the kinetics of a reversible quasi-unimolecular reaction is considered. Equations that couple diffusion and reversible reaction are defined. From these equations are derived expressions for the concentrations of the reacting species, as a function of time, after a perturbation from their equilibrium concentrations. These expressions demonstrate how the time-dependent approach by a concentration to its equilibrium value is determined by the binding rate of adjacent molecules, the dissociation rate, the diffusion coefficients, the distance of closest approach of the reactants, the concentrations of the reactants, and the dimensionality. The expressions are applicable to perturbation-relaxation experiments in one, two, and three dimensions. The formalism is compared with previously existing theories.

Original languageEnglish (US)
Pages (from-to)173-183
Number of pages11
JournalBiophysical Chemistry
Volume21
Issue number3-4
DOIs
StatePublished - 1985
Externally publishedYes

Fingerprint

perturbation
Molecules
Kinetics
diffusion coefficient
dissociation
formalism
kinetics
Experiments
molecules

Keywords

  • Antibody-antigen binding kinetics
  • Concentration jump
  • Diffusion control
  • Enzyme kinetics
  • Quasi-unimolecular reaction
  • Reversible reaction

ASJC Scopus subject areas

  • Biochemistry
  • Biophysics
  • Physical and Theoretical Chemistry

Cite this

The influence of diffusion on the rate of a reversible quasi-unimolecular reaction in one, two or three dimensions. / Thompson, Nancy L.; Burghardt, Thomas P.

In: Biophysical Chemistry, Vol. 21, No. 3-4, 1985, p. 173-183.

Research output: Contribution to journalArticle

@article{ac6d6e5b20bd4a22a9b0c9fb7f1de01e,
title = "The influence of diffusion on the rate of a reversible quasi-unimolecular reaction in one, two or three dimensions",
abstract = "The role of diffusion in the kinetics of a reversible quasi-unimolecular reaction is considered. Equations that couple diffusion and reversible reaction are defined. From these equations are derived expressions for the concentrations of the reacting species, as a function of time, after a perturbation from their equilibrium concentrations. These expressions demonstrate how the time-dependent approach by a concentration to its equilibrium value is determined by the binding rate of adjacent molecules, the dissociation rate, the diffusion coefficients, the distance of closest approach of the reactants, the concentrations of the reactants, and the dimensionality. The expressions are applicable to perturbation-relaxation experiments in one, two, and three dimensions. The formalism is compared with previously existing theories.",
keywords = "Antibody-antigen binding kinetics, Concentration jump, Diffusion control, Enzyme kinetics, Quasi-unimolecular reaction, Reversible reaction",
author = "Thompson, {Nancy L.} and Burghardt, {Thomas P}",
year = "1985",
doi = "10.1016/0301-4622(85)80004-1",
language = "English (US)",
volume = "21",
pages = "173--183",
journal = "Biophysical Chemistry",
issn = "0301-4622",
publisher = "Elsevier",
number = "3-4",

}

TY - JOUR

T1 - The influence of diffusion on the rate of a reversible quasi-unimolecular reaction in one, two or three dimensions

AU - Thompson, Nancy L.

AU - Burghardt, Thomas P

PY - 1985

Y1 - 1985

N2 - The role of diffusion in the kinetics of a reversible quasi-unimolecular reaction is considered. Equations that couple diffusion and reversible reaction are defined. From these equations are derived expressions for the concentrations of the reacting species, as a function of time, after a perturbation from their equilibrium concentrations. These expressions demonstrate how the time-dependent approach by a concentration to its equilibrium value is determined by the binding rate of adjacent molecules, the dissociation rate, the diffusion coefficients, the distance of closest approach of the reactants, the concentrations of the reactants, and the dimensionality. The expressions are applicable to perturbation-relaxation experiments in one, two, and three dimensions. The formalism is compared with previously existing theories.

AB - The role of diffusion in the kinetics of a reversible quasi-unimolecular reaction is considered. Equations that couple diffusion and reversible reaction are defined. From these equations are derived expressions for the concentrations of the reacting species, as a function of time, after a perturbation from their equilibrium concentrations. These expressions demonstrate how the time-dependent approach by a concentration to its equilibrium value is determined by the binding rate of adjacent molecules, the dissociation rate, the diffusion coefficients, the distance of closest approach of the reactants, the concentrations of the reactants, and the dimensionality. The expressions are applicable to perturbation-relaxation experiments in one, two, and three dimensions. The formalism is compared with previously existing theories.

KW - Antibody-antigen binding kinetics

KW - Concentration jump

KW - Diffusion control

KW - Enzyme kinetics

KW - Quasi-unimolecular reaction

KW - Reversible reaction

UR - http://www.scopus.com/inward/record.url?scp=45949127341&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45949127341&partnerID=8YFLogxK

U2 - 10.1016/0301-4622(85)80004-1

DO - 10.1016/0301-4622(85)80004-1

M3 - Article

AN - SCOPUS:45949127341

VL - 21

SP - 173

EP - 183

JO - Biophysical Chemistry

JF - Biophysical Chemistry

SN - 0301-4622

IS - 3-4

ER -