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When the initial condition is not rigid as in the case of a batch reactor, where the initial reaction temperature is quite arbitrary, optimization can also be applied to determine the "best" initial condition to use.
This approximation makes substantial simplification possible, for instance in the case of a batch reactor, it allows a naturally sixth order system to be approximated by a two dimensional manifold for the dynamics of two modified Thiele moduli.
These have mostly addressed the case of a batch, or equivalently a plug flow reactor; only one paper has considered the case of a continuous stirred tank reactor, and another one gives implicitly the analysis for a maximum segregation reactor of arbitrary residence time distribution.
In the case of a batch reaction it is to contain the expression "batch" instead.
Furthermore, the experiments showed that a reference investigation with appropriate adaptation of the limit values is necessary in the case of a batch change of the resin system.
In particular, in the case of a batch process, exposure time at high temperature is the same for both the solid and the liquid phase, while in the case of flow-through systems, changing the flow rate, the residence time of the dissolved products at high temperature can be changed independently on the processing time of the solid matrix.
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The aim of the present paper is to generalize the multizone model (MZM) to the case of a semi-batch stirred tank with two separate feedstreams, and to compare experimental data and model predictions.
In the case of the batch crystallizer, a predictive controller is first designed to obtain a desired crystal size distribution at the end of the batch while satisfying state and input constraints.
For example, in the case of known batch effects, a method such as ComBat (Johnson et al., 2007) may be employed.
Therefore, we suggest to assume σ μ ≈ 0 for the case of no batch variation in equation (5) and to use σ wtrep as a good lower estimate of the summary statistic in testing instead of σ μ (see Appendix 2 for proof).
Unlike chemostat cultures, lack of transcriptional regulation through fluxes of reactions governed by two different genes, namely idp23 and mae1, is implied in the case of batch cultures for a glucose-acetate shift (Table 3).
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