Escherichia coli mathematical models

In spite of usefulness of the simplification obtained by decreasing the experimental substrate concentration, many studies are aimed at the investigation of kinetic properties of immobilized biocatalysts within broader concentration ranges. In a previous paper [29], cells of Escherichia coli with penicillin acylase activity were immobilized by entrapment in calcium pectate gel and tested on the transformation of penicillin G to 6-amino penicillanic acid. Figure 9 shows experimental data from a microcalorimetric investigation of the penicillin G transformation in steady state. As appreciable particle-mass transfer was expected, the mathematical model that includes particle-mass balance was used. 

Ataai, M.M. Shuler, M.L. Simulation of CFSTR through development of a mathematical model for anaerobic growth of Escherichia coli cell population. Biotech. Bioeng. 1985, 27, 1051-1055. 

Rodrigo, D., Barbosa-Canovas, G.V., Martinez, A., and Rodrigo, M. 2003b. Weibull distribution function based on an empirical mathematical model for inactivation of Escherichia coli by pulsed electric fields. J. Food Prot. 66, 1007-1012. 

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