The use of dummy data points when fitting bacterial growth curves

L.A. Kelly, G. Gibson, G. Gettinby, W. Donachie, J.C. Low

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)155-170
Number of pages15
JournalIMA Journal of Mathematics Applied in Medicine and Biology
Volume16
Issue number2
DOIs
Publication statusPublished - Jun 1999

Keywords

  • bacterial-growth modelling
  • mechanistic models
  • empirical models
  • least squares
  • dummy data points

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