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The specific growth rate of the microorganism is the growth of the microorganism within a specific time and mass.
The specific growth rate (μ) = (Mass of the Azospirillium brasilense produced)/ [(the original mass in 0 time) * Time taken]
μ = (Final mass – initial mass)/ [initial mass * timer taken] … (i)
The maximum specific growth rate () is the maximum rate of growth of the microorganism after which the specific growth rate are not increase with the increase in the substrate concentration i.e. the growth rate is saturated.
From the monod kinetic model, the specific growth rate can be defined as
μ = S/ ()
Where, S is the substrate concentration.
The maximum specific growth rate () = 2.206
The affinity of the Azospirillium brasilense for the substrate is defined by the monod saturation concentration () and it is the value which the specific growth rate of the Azospirillium brasilense become half of its maximum specific growth rate.
= /2 = 2.206 / 2
It is very important to maintain the concentration of the substrate to ensure that the microorganism acts in the maximum specific growth rate. The value of both limiting factor and is depends on the activity of the Azospirillium brasilense, not in the available substrate. The activity of the microorganism can be determined if the concentration of the substrate is 10 to 20 times higher than the value of.
The maintenance coefficient is the minimum amount of required substrate for the cell maintenance.
For the maintenance consideration, the equation for substrate utilization,
= - [(1/) * + m * X
Here, = 0.563 (OD ? l)
m = 0.100 g (OD ? l)
For this part the maintenance concentration of the substrate are calculated for the experimental run A with substrate concentration = 2 g .
Time (h) X = dX/dt = - [(1/) * + m * X
Kong, W., Huang, S., Shi, F., Zhou, J., Feng, Y. and Xiao, Y., 2018. Study on Microcystis aeruginosa growth in incubator experiments by combination of Logistic and Monod functions. Algal research, 35, pp.602-612.
Kushkevych, I., Vít?zová, M., Fedrová, P., Vochyanová, Z., Paráková, L. and Hošek, J., 2018. Kinetic properties of growth of intestinal sulphate-reducing bacteria isolated from healthy mice and mice with ulcerative colitis. Acta Veterinaria Brno, 86(4), pp.405-411.
Yaman, C., 2020. Performance and kinetics of bioaugmentation, biostimulation, and natural attenuation processes for bioremediation of crude oil-contaminated soils. Processes, 8(8), p.883.
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