(a) The Monod equation describing microbial growth in a CSTR is given by the following mathematical formula:
u = umax * Cs / (ks + Cs)
where u is the specific growth rate (mol m-3 s-1), umax is the maximum specific growth rate (mol m-3 s-1), ks is a saturation constant (mol m-3), and Cs is the concentration of the limiting substrate (mol m-3).
(i) Describe the information that can be gained from this formula and its limitations.
(ii) Suggest a bioprocess scheme that this formula can describe.
(b) A batch bioreactor at 37°C is used to perform a bioprocess. Assume you are using a nutrient source that is a complex mixture of sugars, which requires an enzyme to be broken down into glucose and other monomers.
(i) Sketch and discuss the evolution of the biomass concentration as a function of time.
(ii) Sketch and discuss the evolution of the product concentration (antibiotic) as a function of time.
(iii) Discuss how the productivity will be altered if the reactor temperature was increased to (i) 45°C and (ii) 67°C.