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The part of a sentence "model was established based" is correct and usable in written English.
You can use it when referring to a particular model, system, or process that was created or developed. For example: The manufacturing process was established based on the new standards set by the government.
Exact(58)
Mass transfer model was established based on surface renewal model.
The model was established based on measured lake bed elevation, hydrological data, and water quality data.
The correlation model was established based on energy conservation and pressure balance laws.
This model was established based on the relationship between the strain rate and material properties.
The model was established based on data from an actual eel fishfarm in southern Spain.
Firstly, the sensing model was established based on the conductivity analysis of the CFRP composites.
The dynamic damage model was established based on the improved parallel bar system (IPBS) model.
The developed model was established based on the stress-time history due to the flow-induced vibration.
However, the published model was established based on the assumption that the annular fluid is ideal single-phase flow.
Similar(2)
First, dynamic model is established based on joint space.
In [3], the air-gapped CT model is established based on Jiles-Atherton (JA) Theory.
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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