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.
N1 - Funding Information:
We thank Harden McConnell for his many helpful suggestions.T his work was supported by Damon Runyon-Walter Winchell Cancer Fund Fellowship 593 to N.L.T. and an American Heart Association Postdoctoral Fellowship to T.P.B.
PY - 1985/3
Y1 - 1985/3
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
SN - 0301-4622
VL - 21
SP - 173
EP - 183
JO - Biophysical Chemistry
JF - Biophysical Chemistry
IS - 3-4
ER -