Graduate Thesis Or Dissertation

 

Parameter estimation in stochastic multicompartment models with destructive sampling Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9z903313c

Descriptions

Attribute NameValues
Creator
Abstract
  • In many experimental situations involving compartmental models, a more realistic model is obtained if the rate constants are regarded as random variables. We consider the problem of estimating the means and variances of the rate constants in a stochastic compartmental model when a) a time series of observations of an individual system cannot be made (because of destructive sampling), and b) exact expressions for the moments of the stochastic model cannot be found (as is the case with most multicompartment models). Several estimation procedures will be described and compared using. simulated experimental data from three different two-compartment pharmacokinetic models. While all the procedures -seem to give reasonable estimates of the means, good estimates of the variances are obtained only if the covariance structure of the stochastic model is taken into account. In addition, the results suggest that the difference between the mean of the stochastic model and the deterministic model evaluated at the means of the rate constants is not as important in the parameter estimation problem as has been suggested by previous authors.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Made available in DSpace on 2013-08-27T17:01:38Z (GMT). No. of bitstreams: 1 McArthurRichardD1981.pdf: 478244 bytes, checksum: 10c631949c69854d8083a6249a6ff0a2 (MD5) Previous issue date: 1981-01-21
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-08-27T17:01:38Z (GMT) No. of bitstreams: 1 McArthurRichardD1981.pdf: 478244 bytes, checksum: 10c631949c69854d8083a6249a6ff0a2 (MD5)
  • description.provenance : Submitted by Katy Davis (kdscannerosu@gmail.com) on 2013-08-22T15:06:30Z No. of bitstreams: 1 McArthurRichardD1981.pdf: 478244 bytes, checksum: 10c631949c69854d8083a6249a6ff0a2 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2013-08-22T17:17:35Z (GMT) No. of bitstreams: 1 McArthurRichardD1981.pdf: 478244 bytes, checksum: 10c631949c69854d8083a6249a6ff0a2 (MD5)

Relationships

Parents:

This work has no parents.

In Collection:

Items