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Mathematical Medicine and Biology 1993 10(4):293-299; doi:10.1093/imammb/10.4.293
© 1993 by Institute of Mathematics and its Applications
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Some properties of a nonautonomous deterministic growth model describing the adjustment of the bacterial population to a new environment

JóZSEF BARANYI, TERRY A. ROBERTS and PETER MCCLURE{dagger}

AFRC Institute of Food Research, Reading Laboratory Earley Gate, Whiteknights Road, Reading RG6 2EF, UK

Present address: Unilever Research, Colworth Laboratory, Colworth House, Sharnbrook, Bedford MK44 1LQ, UK.

Some mathematical properties of a simple nonautonomous deterministic growth model are presented. The model describes the lag phase of bacterial growth as an adjustment of the population to a new environment after inoculation. A useful family of ‘adjustment functions’ is considered and some of its mathematical properties are given.

Keywords: bacterial growth; nonautonomous deterministic growth model; lag phase


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