Estimating the rate constants in a two-compartment stochastic model
Related Experiment Video
Updated: Oct 12, 2026

The Use of Chemostats in Microbial Systems Biology
Published on: October 14, 2013
Abstract:
A procedure is described for estimating the rate constants of a two-compartment stochastic model for which the covariance structure over time of the observations is known. The proposed estimation procedure, by incorporating the known (as a function of the parameters to be estimated) covariance structure of the observations, produces regular best asymptotically normal (RBAN) estimators for the parameters. In addition, the construction of approximate confidence intervals and regions for the parameters is made possible by identification of the asymptotic covariance matrix of the estimators. The explicit form of the inverse of the covariance matrix, which is required in the estimation procedure, is presented. The procedure is illustrated by application to real as well as simulated data, and a comparison is made to the widely used nonlinear least squares procedure, which does not account for correlations over time.
Related Concept Videos
Compartment Models: Two-Compartment Model
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...
Two-Compartment Open Model: IV Bolus Administration
The disparity between drug input and the sum of drug transfer rates between...
Two-Compartment Open Model: IV Infusion
The model illustrates the decrease in plasma drug concentration from the central compartment with a specific equation. It shows that under steady-state conditions, the drug's input rate...
Two-Compartment Open Model: Extravascular Administration
The absorption exponent (ka) indicates the speed at which the drug is...
Three-Compartment Open Model

