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TW 315
C. De Meester, K. Bernaerts, T. Luzyanina, K. Engelborghs, K. Vereecken, E. Dens, D. Roose, J. Van Impe
New ODE and DDE models for bacterial growth
Abstract
Bacterial growth is characterised by an initial lag phase, followed by an exponential growth phase with saturation. In this paper, several mathematical models are developed which describe bacterial growth under constant environmental conditions. These models are inspired by the widely used model by Baranyi and Roberts, and they are described by ordinary differential equations or by delay differential equations. We discuss the identification of the models using experimental data for Escherichia coli K12. The new models give fitting errors comparable to the model of Baranyi and Roberts.
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