Modelling the growth kinetics of <i>E. coli</i> measured using real-time impedimetric biosensor
AbstractThe development of in situ sensor for measuring bacterial concentrations in fermenter would allow real-time monitoring of the concentration of bacteria. Kim et al  has developed such a method using impedance spectroscopy, and was able to measure in real-time the concentration of E. coli at 0.01 MHz frequency using impedance changes. In this work we used several mathematical models of bacterial growth kinetics such as logistic, Gompertz, Richards, Schnute, Baranyi-Roberts, Von Bertalanffy, Buchanan three-phase and the Huang models to model the resulting bacterial growth curve from Kim et al. The Buchanan three-phase model was chosen as the best model based on statistical tests such as root-mean-square error (RMSE), adjusted coefficient of determination (R2), bias factor (BF), accuracy factor (AF) and corrected AICc(Akaike Information Criterion). Parameters obtained from the growth fitting exercise were maximum specific growth rate (μmax), lag time (λ) and maximal number of cells achieved per droplet (Ymax) with values of 0.67±0.086 (h-1), 2.45±0.24 (h) and 20.26±0.038 (ln cell no/ml), respectively. The parameters obtained from fitting the bacterial growth curve using this model can be used for further modeling and optimization exercises for identifying key optimal parameters for improving the sensitivity of the biosensor.
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