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The phrase "a model that served" is correct and usable in written English.
It can be used when referring to a model that has fulfilled a purpose or function in a specific context, often in discussions about research, design, or theoretical frameworks.
Example: "The study utilized a model that served as a foundation for understanding the complex interactions within the ecosystem."
Alternatives: "a model that functioned" or "a model that acted".
Exact(1)
Referring to David Ricardo, the 19th-century British economist whose theory of comparative advantage became the basis of free trade, Mr. Schumer said: "Ricardo set up a model that served very, very well for a very long time.
Similar(59)
It's a model that serves customers who want on-demand self-services.
"As the market leader, this is us looking years down the road and establishing a model that serves online freelancing well.
"In recognition of both, we wanted to propose a model that serves both optimally," Markowski said.
He began investigating neuroblastomas tumours involving masses of neurons, known as ganglia and eventually developed a neuroblastoma model that served as the basis for a broad range of neurobiological research.
But Pilling helps to explain the extent to which a business model that served the country so well during the great recovery after the second world war has also been at the heart of its more recent economic stagnation.
The sequence similarity search (BLAST) results of the G. metallireducens genome with the genomes of several high-quality genome-scale metabolic models were utilized to create a draft model that served to accelerate the reconstruction of the genome-scale metabolic model.
This paper (Lipsitch et al., 2000) provided a differential equation system model that served as the basis for the undergraduate team's original work.
In his SSA classes, Borden has his students start by developing a "home base," a provisional model, that serves as a center of gravity.
A set of environmental data layers was used to develop a friction model that serves as a base map representing the landscape over which wolves moved.
It has long since been replaced with a newer model that serves as a precarious runway for the club's high-heeled entertainment.
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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