A New Stochastic Analysis of Chemical Kinetics.

Abstract

A new approach to the formulation and analysis of stochastic models of chemical reactions is presented. Unimolecular, bimolecular, and enzyme kinetic reactions are considered in the irreversible and reversible cases. The methodology is based on diffusion approximations and represents the time evolution of the reaction as the sum of a deterministic function and an Ornstein-Uhlenbeck process. As a result the marginal distributions are approximately Gaussian with relatively simple mean and covariance parameters, and the dynamic behave is completely characterized. The stochastic approach which uses stochastic differential equations is a natural generalization of the deterministic approach which uses ordinary differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA044573

Entities

People

  • John P. Lehoczky

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Chemical Kinetics
  • Chemical Reactions
  • Covariance
  • Data Science
  • Differential Equations
  • Diffusion
  • Enzyme Inhibitors
  • Enzyme Kinetics
  • Equations
  • Gaussian Distributions
  • Information Science
  • Kinetics
  • Markov Chains
  • Markov Processes
  • Statistical Analysis
  • Stereolithography
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion science or combustion engineering.
  • Mathematical Modeling and Probability Theory.