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K. D. COLEMAN, A. C. FOWLER, A Mathematical Model of Exoprotein Production in Bacteria, Mathematical Medicine and Biology: A Journal of the IMA, Volume 1, Issue 1, 1984, Pages 77–94, https://doi.org/10.1093/imammb/1.1.77
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Abstract
We present a simple mathematical model for the synthesis of extracellular proteins by a class of bacteria which secrete significant quantities of this exoprotein in late-exponential and stationary phases. This model is the simplest generalization of Michaelis-Menten kinetics (the Monod model) and agrees well with laboratory experiments in batch culture. The model may serve as a simple prototype for the analysis of certain virulent bacterial infections in vivo , particularly that of Pseudomonas aeruginosa in burn wounds.
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