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The phrase "analytical model shown" is correct and usable in written English.
It can be used when referring to a specific analytical model that has been presented or displayed in a document or presentation.
Example: "In the results section, we discuss the analytical model shown in Figure 2, which illustrates the relationship between the variables."
Alternatives: "displayed analytical model" or "illustrated analytical model".
Exact(1)
We adopt in this model the same parameters as those in the analytical model shown in Table 1.
Similar(59)
In this respect, the experimental results and those of the analytical model showed a good agreement.
Comparing the analytical results with experimental results, the adopted analytical model shows a good agreement.
The analytical model shows the effectiveness of our proposed IPA in terms of network response time.
The measurements have been correlated with an existing analytical model showing good agreement.
The analytical model shows fair agreement with numerical data at modest computational cost.
The developed analytical model shows good conformance of the mechanical strength with the experimental observations.
Fretting fatigue lives predicted from the analytical model show good agreement with the measured experimental results.
As shown in the figure, in general, the analytical model showed a good correlation with the experimental results.
Experimental measurements were compared with a simple analytical model showing good agreement.
Moreover, the same is believed to be necessary to reflect an accurate analytical model showing carbonation process and following change in porosity development.
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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