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 language | English (US) |
|---|---|
| Pages (from-to) | 173-183 |
| Number of pages | 11 |
| Journal | Biophysical Chemistry |
| Volume | 21 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - 1985 |
| Externally published | Yes |
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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 journal › Article
}
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 -