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Bulletin of Mathematical Biology

, Volume 37, Issue 2, pp 127–138 | Cite as

Stochastic kinetic models for small reversible systes; The equilibrium distribution

  • John P. Mullooly
Article
  • 26 Downloads

Abstract

The equilibrium probability distribution of the process level is studied for a general class of reversible stochastic reactions. A calculationally convenient approximation for equilibrium probabilities is derived and its accuracy is investigated over a range of values of the equilibrium constant. A method of approximating the equilibrium means and variance is developed and illustrated forQ th-order processes.

Keywords

Equilibrium Distribution Equilibrium Probability Convenient Approximation General Stochastic Model Large Negative Number 
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Literature

  1. Karlin, S. 1969.A First Course in Stochastic Processes. New York: Academic Press.MATHGoogle Scholar
  2. McQuarrie, D. A. 1967. “Stochastic Approach to Chemical Kinetics”J. Appl. Prob.,4, 413–478.MATHMathSciNetCrossRefGoogle Scholar
  3. Mullooly, J. P. 1974. “Stochastic Kinetic Models for Small Irreversible Systems”Bull. Math. Biology,36, 219–227.MATHGoogle Scholar
  4. Tallis, G. M. and R. T. Leslie. 1969. “General Models forr-Molecular Reactions”.J. Appl. Prob.,6, 74–78.MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Society for Mathematical Biology 1975

Authors and Affiliations

  • John P. Mullooly
    • 1
  1. 1.Kaiser Foundation HospitalsHealth Services Research CenterPortland

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