Team:Heidelberg/Model/Arabinose

Modeling

Arabinose Concentration

Table 1: Variables and Parameters used for the calculation of the glucose and E. coli concentrations List of all paramters and variables used in the numeric solution of this model. For more details have a look at the theory behind the calculation.

Symbol	Value and Unit	Explanation
\(c_{A_{L} }\)	[g/ml]	Arabinose concentration in Lagoon
\(c_{A_{L}(t_{0}) }\)	[g/ml]	Initial Arabinose concentration in Lagoon
\(\Phi_{S}\)	[lagoon volumes/h]	Flow rate of inducer supply relative to lagoon volume
\(\Phi_{L} \)	[lagoon volumes/h]	Flow rate of lagoon

Get the ideal concentration

Arabinose concentration in inducer solution \(c_{A_{S} } \: [g/l]\)

Flow rate Lagoon \(\Phi_{L} \)

Flow rate inducer solution \(\Phi_{A} \:[Lagoon Volumes/h]\)

End time \(t \:[min]\)

Initial lagoon arabinose concentration \(c_{A_{L} }(t_{0})\)

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