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Normal approximations for distributions arising in the stochastic approach to chemical reaction kinetics

Published online by Cambridge University Press:  14 July 2016

F. D. J. Dunstan  and
J. F. Reynolds
F. D. J. Dunstan*
Affiliation:
University College, Cardiff
J. F. Reynolds*
Affiliation:
University College, Cardiff
*
∗Postal address: Department of Mathematical Statistics and Operational Research, P.O. Box 78, Cardiff CF1 1XL, U.K.
∗Postal address: Department of Mathematical Statistics and Operational Research, P.O. Box 78, Cardiff CF1 1XL, U.K.
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Abstract

Earlier stochastic analyses of chemical reactions have provided formal solutions which are unsuitable for most purposes in that they are expressed in terms of complex algebraic functions. Normal approximations are derived here for solutions to a variety of reactions. Using these, it is possible to investigate the level at which the classical deterministic solutions become inadequate. This is important in fields such as radioimmunoassay.

Keywords

NORMAL APPROXIMATIONSCHEMICAL REACTION KINETICSEQUILIBRIUM DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 263 - 267
Copyright
Copyright © Applied Probability Trust 

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References

McQuarrie, D. A. (1967) Stochastic approach to chemical kinetics. J. Appl. Prob. 4, 413–478.CrossRefGoogle Scholar