Stochastic kinetic models for small irreversible systems

Springer Science and Business Media LLC - Tập 36 - Trang 219-227 - 1974
John P. Mullooly1
1Health Services Research Center, Kaiser Foundation Hospitals, Portland

Tóm tắt

The probability distribution of the process level is derived for a general class of irreversible reaction systems. A method of approximating the mean and variance of the process level is developed and shown to be more accurate for small irreversible systems than other approximations used in the stochastic approach to kinetics.

Tài liệu tham khảo

Johnson, N. L. and S. Kotz. 1970.Continuous Univariate Distributions—1. Houghton Mifflin, Boston, Mass., p. 222. McQuarrie, D. A. 1967. “Stochastic Approach to Chemical Kinetics”.J. Appl. Proc.,4, 413–478. Mullooly, J. P. 1971. “Maximum Likelihood Estimation for Stochastic First Order Reactions”.Bull. Math. Biophysics,33, 83–96. — 1972. “Maximum Likelihood Estimation for Stochasticrth-Order Reactions”.J. Appl. Prob.,9, 32–42. — 1973. “Maximum Likelihood Estimation for Stochasticrth-Order Reactions II”.Ibid.,10, 441–446. Tallis, G. M. and R. T. Leslie. 1969. “General Models forr-Molecular Reactions”.Ibid.,6, 74–87.