# Explaining Monod in Terms of Escherichia coli Metabolism. - mauriceling/mauriceling.github.io GitHub Wiki

Citation: Chang, ED, Ling, MHT. 2019. Explaining Monod in Terms of Escherichia coli Metabolism. Acta Scientific Microbiology 2(9): 66-71.

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Monod Equation is a simple empirical equation relating limiting substrate to cell growth rate. Despite being used in many studies, there is a need to elucidate growth rate in terms of metabolism, which is then used to inform metabolic engineering efforts. Here, we attempt to explain Monod Equation in terms of simulated metabolism, in the form of metabolic flux, from an Escherichia coli MG1655 flux balance analysis (FBA) model to yield a growth rate objective function. Flux values represent change of molecule concentrations over time, making biomass objective function a rate equation. This poses difficulty in representing biomass objective function as a predictive model of metabolic fluxes, which is essentially an analytical equation of fluxes. Our results show a strong correlation (r = 0.972, p-value = 1.16 x 10^-14) between Monod’s predicted growth rate and biomass objective value from FBA model. Using this relationship, Monod’s predicted growth rate can be predicted by 14 fluxes (r = 1, p-value < 1 x 10^-16, SSE = 2.3 x 10^-7, MSE = 1.8 x 10^-9). Therefore, this study explains the growth rate of E. coli MG1655 in terms of its metabolic flux and presents a methodology for unifying Monod Equation with simulated or experimental metabolism.