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Numerical results provided at the end prove the efficiency and robustness of the adjoint model in optimizing induction heating processes.

In order to demonstrate the capabilities of the proposed model in optimizing composite floor system designs, two design examples taken from the literature are studied.

The study reported here is considered as a step toward the potential engineering applications of the FE model in optimizing new stapes prosthesis.

It is possible, in close collaboration with designers, to use the model in optimizing bridge structures.

Average final values of responses (VOCl = 4.9 ± 1.3 mg l−1; %DMDS = 97.6 ± 1.1%) were about 532 and 133% of data of central point and were in good agreement with calculated values, thus confirming the reliability of our empirical model in optimizing VOCs production by T. moniliiforme.

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Leaving these and related issues for future research, the present study already represents a conclusive example for the potential of mathematical modeling in optimizing empirical IgG treatment protocols.

At this point, we believe that combining both frameworks into a hybrid metabolic flux analysis framework constitutes a valuable and straightforward complement to purely stoichiometric models in optimizing industrially relevant complex productivity phenotypes.

On the whole, calculating the wax breaking force, this presented model benefits in optimizing the pig design.

The model can assist in optimizing the use of existing refiners and in developing improved refiners.

History matching of the coreflood model was instrumental in optimizing the experiments and in evaluating the criticality of the parameters that influence sweep efficiency in the CWAG process.

Using the method of images, a simplified and visualized analytic model to aid in optimizing the geometrical parameters of the corner-pumped composite slab to improve the absorption efficiency is presented.

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