A compressed logistic equation on bacteria growth: inferring time-dependent growth rate

Abstract We propose a compressed logistic model for bacterial growth by invoking a time-dependent rate instead of the intrinsic growth rate (constant), which was adopted in traditional logistic models. The new model may have a better physiological basis than the traditional ones, and it replicates e...

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Bibliographic Details
Published inPhysical biology Vol. 19; no. 6; pp. 66003 - 66010
Main Authors Pinto, Carlito, Shimakawa, Koichi
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.11.2022
Subjects
bacteria
complex systems
logistic growth
time-dependent growth rate
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Summary:Abstract We propose a compressed logistic model for bacterial growth by invoking a time-dependent rate instead of the intrinsic growth rate (constant), which was adopted in traditional logistic models. The new model may have a better physiological basis than the traditional ones, and it replicates experimental observations, such as the case example for E. coli, Salmonella, and Staphylococcus aureus . Stochastic colonial growth at a different rate may have a fractal-like nature, which should be an origin of the time-dependent reaction rate. The present model, from a stochastic viewpoint, is approximated as a Gaussian time evolution of bacteria (error function).
Bibliography:PB-101552.R2
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ISSN:1478-3975
1478-3967
1478-3975
DOI:10.1088/1478-3975/ac8c15