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Corynebacterium glutamicum - JUWEL - Forschungszentrum Jülich

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3.4. Application: L-Valine Production Process Development<br />

over f feeds include the feeds of glucose and of L-isoleucine with their known constant<br />

carbon concentrations Ccf. The amount of carbon which is removed from the system<br />

by sampling, is included as the sum over all m measurements until time t with sample<br />

volume Vm and carbon concentrations Ccm. This concentration is estimated from the<br />

concentrations of all measured compounds. The total amount of produced CO2 is included<br />

as an integral over time and has also been addressed partly in paragraph 3.4.2<br />

on page 54. Note that all concentrations in equation 3.14 are carbon concentrations,<br />

so in [C − mole.L −1 ], which can readily be calculated from measured concentrations<br />

and elemental composition of the compounds. This stoichiometry is simply known for<br />

all regarded compounds except for the biomass. For the biomass, the measured concentrations<br />

as OD600 are converted to biomass dry weight by multiplication with 0.25,<br />

according to the measurements of both characteristics as mentioned in appendix B on<br />

page 139. The amount of carbon per gram dry biomass is assumed to be 0.5 g/g, taken<br />

from the values measured for a similar strain of C. <strong>glutamicum</strong> by Kelle (1996).<br />

When all relevant products would be accounted for, equation 3.14 should hold. When<br />

important products are unknown, the fraction C − bal of the carbon balance which is<br />

accounted for, is calculated by rewriting the equation:<br />

� t<br />

t=0<br />

C − bal =<br />

((Fg,out(t)[CO2]out(t)) − (Fg,in(t)[CO2]in(t))dt)+ �<br />

p Ccp(t)Vr(t)<br />

− �<br />

�<br />

s Ccs(t)Vr(t)+ i Cci(0)V (0) + � � t<br />

f t=0 Ff (t)Ccfdt − �<br />

m VmCcm<br />

.<br />

(3.15)<br />

Besides the degree to which the total carbon balance is closed, also the fractions of the<br />

carbon fluxes into the different products is of interest. These values can be calculated<br />

analogue to equation 3.15, after omitting all other products from the enumerator.<br />

Total Volumetric Productivity<br />

The total volumetric productivity is used as the optimization criterion for process optimization<br />

of the L-valine production process. This characteristic value is also sometimes<br />

called the space-time-yield and it consists of the amount of product which can be produced<br />

per unit volume of suspension and time, calculated over the total process time.<br />

Here, it is calculated as the increase in concentration of L-valine from the start of the<br />

experiment up to each time-point, divided by the time:<br />

TVP(t) = (Cval(t) − Cval(0))<br />

. (3.16)<br />

t<br />

In the optimization of the process, the time-dependent total volumetric productivity<br />

TVP(t), is calculated for each measurement time point and the highest value is taken.<br />

The optimized process is stopped at the corresponding time-point.<br />

59

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