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"applied the model" is correct and usable in written English.
You can use it to describe a situation in which someone used a model (such as a mathematical model, a management model, etc.) in order to solve a problem or reach a goal. For example: "They applied the economic model to calculate the most efficient way to reduce costs."
Exact(60)
Pines (2006) applied the model to emergency medicine in the United States [ 7].
The Likud government that came to power in 1977 applied the model to create Jewish-only bedroom communities in the Galilee and in the Negev.
They applied the model for a case study in Ghana.
They applied the model in the Argentinean sugarcane industry.
They applied the model to Spanish rural regions.
We applied the model to winter resource selection of muskoxen.
They applied the model to study the effect of installed security cameras on crimes.
We applied the model to obtain spatial and temporal distributions of permeability of the adjacent seams.
Finally, they applied the model for a case study in Italy.
The Joog has applied the model to the Olympics, increasing the number of antennas and "slices" even further.
Treiber has applied the model to the annual Rennsteig half-marathon in central Germany, which attracts around 6,000 participants.
More suggestions(15)
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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