MONOD EQUATION DERIVATION PDF

Review: Deriving a Rate Equation for a Postulated Mechanism. Write rate equation for postulated mechanism. 2) For concentrations of reactive intermediates CI*. If batch system w/ pure culture of bacteria (Figure ); If batch system w/ mixed culture (Figure ); Monod () equation: K = constant; S = substrate conc. C. The Monod Equation. Originally, exponential growth of bacteria was consid- ered to be possible only when all nutrients, including the substrate, were present .

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Monod equation

The Monod equation is commonly used in environmental engineering. A conceptual plot of microbial cell concentration vs time for the batch system is called a growth curveas shown in Figure 2.

The yield coefficient and the specific growth rate used to develop three types of microbial growth kinetic relationships; Monodfirst order ,and zero order kinetics. Specific growth rate plotted respect to initial substrate concentration in a batch system.

The container is well euqation and therefore the dissolved oxygen concentration O2 does not become a limiting factor for microbial growth.

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This page was last edited on 8 Februaryat All articles with unsourced statements Articles with unsourced statements from January The Monod equation is a mathematical model for the growth of microorganisms. For example, eqiation is used in the activated sludge model for sewage treatment. Equation 6 describes the condition where substrate utilization is proportional to substrate concentration i.

Louvain la Neuve, Belgium: This container initially contains a known growth substrate concentration S. The most widely used expression for describing specific growth rate as a function of substrate concentration is attributed to Monod equattion, Equation 7 describes the condition where substrate utilization rate is a constant i.

The rate of substrate utilization is related to the specific growth rate as follows: The Monod equation is: When the yield coefficient, being the ratio of mass of microorganisms to mass of substrate utilized, becomes very large degivation signifies that there is deficiency of substrate available for utilization. It is named for Jacques Monod who proposed using an equation of this form to relate microbial growth rates in an aqueous environment to the concentration of a limiting nutrient.

Equationn growth and substrate utilization in a well mixed batch container.

Overview of some theoretical approaches for derivation of the Monod equation.

Similarly, by combining equations 1 and 3 we can write an expression for substrate utilization rate. Growth and Kinetics” PDF. Archived from the original PDF on December 29, On-line parameter estimation, adaptave state estimation and adaptave control of fermentation processes.

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Environmental engineering Civil engineering Sewerage.

Overview of some theoretical approaches for derivation of the Monod equation. – PubMed – NCBI

By combining equations 2 and 3 we can write the following expression for time-rate-of-change of biomass:. Views Read Edit View history. Retrieved from ” https: Lennox, and Rockford J.

As with the Michaelis—Menten equation graphical methods may be used to fit the coefficients of the Monod equation: From Wikipedia, the free encyclopedia.

Equation 5 ,onod the Monod kinetic relationship for substrate utilization. Initially a known concentration X of viable microbial cells i. They will differ between species and based on the ambient environmental conditions.