Kelly, L.A. and Gibson, G. and Gettinby, G. and Donachie, W. and Low, J.C. (1999) The use of dummy data points when fitting bacterial growth curves. IMA Journal of Mathematics Applied in Medicine and Biology, 16 (2). pp. 155-170. ISSN 1477-8599
Full text not available in this repository. (Request a copy from the Strathclyde author)Abstract
We consider the problem of fitting mathematical models for bacterial growth and decline to experimental data. Using models which represent the phases of the growth and decline cycle in a piecewise manner, we describe how least-squares fitting can lead to potentially misleading parameter estimates. We show how these difficulties can be overcome by extending a data set to include hypothetical observations (dummy data points) which reflect biological beliefs, and the resulting stabilization of parameter estimates is analysed mathematically. The techniques are illustrated using real and simulated data sets.
| Item type: | Article |
|---|---|
| ID code: | 17525 |
| Keywords: | bacterial-growth modelling, mechanistic models, empirical models, least squares, dummy data points, Statistics |
| Subjects: | Social Sciences > Statistics |
| Department: | Faculty of Science > Mathematics and Statistics Faculty of Engineering > Civil Engineering |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 22 Apr 2010 15:03 |
| Last modified: | 04 Oct 2012 12:57 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/17525 |
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