Abstract
Kinetic studies of microbial growth on multicomponent substrates are widely used in quantitative microbiology. They usually include measurements of microbial growth as a function of the initial concentrations of substrate components and growth modeling with the use of differential equations. Due to nonlinearity, these equations are usually solved numerically. This paper presents a model of microbial growth on a complex substrate. Based on an arbitrary number of chemical and biochemical reactions taking place in the substrate and microbial cells, an analytical formula was deduced relating microbial growth to initial concentrations of substrate components and time. The analysis of this formula reaffirmed our previous finding of singular points separating the growth curve into phases of growth, and for the first time revealed singular points on the dose-response curve as functions of initial concentrations of substrate components, provided that these concentrations are included in the formula as a geometrical mean. The formula was checked against independent experimental data. This formula makes possible quantitative analysis of dose-response curves for an unlimited number of substrate components.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
