Data Section
Monod Kinetic Model
Maintenance Consideration
$\mu = \frac{\mu_{max} S}{K_S + S}$
$-r_S = \frac{1}{Y_G}r_X + mX$
$\mu$ = specific growth rate $[h^{-1}]$
$\mu_{max}$ = maximum specific growth rate $[h^{-1}]$
$K_S$ = Monod saturation constant $[g l^{-1}]$
$S$ = L-malate concentration $[g l^{-1}]$
$X$ = cell mass concentration [OD]
$m$ = Maintenance coefficient $[g (OD \cdot l)^{-1} h^{-1}]$
$Y_{X/S}$ = Overall yield coefficient of cell mass with respect to L-malate $[(OD \cdot l) g^{-1}]$
$Y_G$ = True yield coefficient of cell mass with respect to L-malate $[(OD \cdot l) g^{-1}]$
Table B-1 Profile for cell mass concentration of Azospirillium brasilense (measured in Optical Density, OD), with each experimental run using a different initial concentration of L-malate; n = last digit of your Student ID
Run # | 1 | 2 | 3 | 4 | 5
------- | -------- | -------- | -------- | -------- | --------
$S_0 [g l^{-3}]$ | 1.5 + 0.1n | 3.5 + 0.1n | 5.5 + 0.1n | 7.5 + 0.1n | 9.5 + 0.1n
Time [h] | X [OD]
0 | 0.100 | 0.100 | 0.100 | 0.100 | 0.100
1 | 0.140 | 0.149 | 0.153 | 0.155 | 0.156
2 | 0.196 | 0.222 | 0.233 | 0.239 | 0.244
3 | 0.273 | 0.329 | 0.355 | 0.370 | 0.380
4 | 0.376 | 0.485 | 0.539 | 0.571 | 0.591
5 | 0.509 | 0.711 | 0.815 | 0.878 | 0.919
6 | 0.674 | 1.026 | 1.223 | 1.344 | 1.424
Table B-2 Available cell mass growth parameters
Parameter | Value | Notes
------- | -------- | --------
Yield Coefficient $[(OD \cdot l) g^{-1}]$ | 0.563 | Real
m $[g (OD \cdot l)^{-1} h^{-1}]$ | 0.100 | Estimate