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Early demonstrations of this framework applied to the simple case of implementing the protected identity operator to qubits by dynamical decoupling [15, 43 47], where the filter functions could be calculated for pure dephasing in a straightforward manner using concepts of linear control [42].
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However, a more important contribution is perhaps the demonstration of this framework for improving protein docking, which combines the prediction of specific contacts with a constraint programming approach, where the latter technique can help overcome the difficulties created by the large error margins in the predictions.
In this sense, the modeling effort reported here is just a start, and this paper is a mere demonstration of the framework's potential.
As an initial demonstration of the framework, we create a tunable measure of tensor difference that can selectively respond to shape and orientation.
As a demonstration of the framework FMB, it was applied to the wild-type and lpdA mutant of E. coli to systematically evaluate how the genetic perturbation, lpdA gene knockout, affects E. coli metabolism, cultured in defined minimal media with glucose [ 33].
However, a formal demonstration of this model is lacking.
Demonstrations show the novelty and efficiency of this framework.
However empirical tests of this framework are rare and require demonstration that historical associations among elements of deterministic network are not themselves modified by recent evolution.
We provide numerical demonstrations of the proposed framework by inferring kinetic models for catalytic steam and dry reforming of methane using available experimental data.
Business, too, is part of this framework.
As a demonstration, this framework was applied to the genetically perturbed Escherichia coli metabolism, which is a lpdA gene knockout mutant, using its genome-scale metabolic network model.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com