Fed-Batch Bioproduction of Spectinomycin
31
was employed. The EDR essentially provided the missing link between spectinomycin and the air flow rate to enable the prediction of one from the other.
7 Prediction
7.1 External Differential Representation
The EDR is the mathematical relationship or mapping between the inputs and
the outputs of a system. It correlates the outputs to some or all the system
inputs. Figure 15 gives a geometric interpretation of this mapping. Input-output
structures, which are analogous to transfer functions in process control, have
many applications. For example, the EDR can be used in parameter estimation,
trajectory tracking and process control.
The system described by Eq. (A.7) is first checked for observability with the
product and substrate concentrations 1-53-56]. Since controlling the dissolved
oxygen concentration at 50% saturation eliminates its dynamics, the oxygen
Fig. 15. Geometry of the External Differential Representation (EDR)
31
was employed. The EDR essentially provided the missing link between spectinomycin and the air flow rate to enable the prediction of one from the other.
7 Prediction
7.1 External Differential Representation
The EDR is the mathematical relationship or mapping between the inputs and
the outputs of a system. It correlates the outputs to some or all the system
inputs. Figure 15 gives a geometric interpretation of this mapping. Input-output
structures, which are analogous to transfer functions in process control, have
many applications. For example, the EDR can be used in parameter estimation,
trajectory tracking and process control.
The system described by Eq. (A.7) is first checked for observability with the
product and substrate concentrations 1-53-56]. Since controlling the dissolved
oxygen concentration at 50% saturation eliminates its dynamics, the oxygen
Fig. 15. Geometry of the External Differential Representation (EDR)