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The phrase "model based on" is correct and usable in written English.
You can use it to describe something that has been created or developed based on a specific set of criteria or conditions. For example, "The new mobile phone is a model based on the latest consumer trends."
Exact(60)
A model based on community-based services remains an aspiration.
prediction model based on Gaussian Processes.
"Advertising is a massively old model based on the 1950s.
"There is no sustainable business model based on customer confusion".
Whether a model based on 32 boroughs is still sustainable is a moot point.
To find out, he built a computer model based on some basic ant biology.
He said the challenge was to move away from a model based on fossil fuels.
It was a lesson that an economic model based on widening inequality was unviable.
It was a simple, low-risk business model based on a market opportunity that I spotted.
ComRes, for example, has developed a new turnout model based on socio-economic factors.
Instead, Dr. Pines and his collaborators have devised a more complicated model based on experimental observations.
More suggestions(24)
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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