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The phrase "a well established model" is correct and usable in written English.
It can be used to refer to a model that is widely accepted and recognized in a particular field or discipline.
Example: "In the field of psychology, cognitive behavioral therapy is considered a well established model for treating anxiety disorders."
Alternatives: "a widely accepted model" or "a recognized model".
Exact(13)
The ovariectomized (OVX) rat is a well established model for osteoporosis research.
Therefore, a well established model for immunotoxic studies using stimulated human peripheral blood mononuclear cells (PBMC) was applied.
P. obesus is a well established model of diet induced type 2 diabetes.
The human lung adenocarcinoma cell line A549 represents a well established model for pulmonary epithelial cells[20], [23] [25].
This is a well established model system where the dynamic light input is efficiently and reliably encoded into a graded membrane voltage response of limited amplitude range.
The adipogenesis of MEFs by hormonal induction is a well established model system for the study of adipocyte differentiation [34], [35].
Similar(47)
Fortunately, there's a well-established model: the Foreign Service.
The integrate-and-fire neuron is a well-established model in computational neuroscience [32, 33].
EPIS is a well-established model for understanding, researching, and supporting the implementation of new practices.
This is a well-established model considered in the literature for different applications [25, 31 33].
Collaborative, nurse-led care is a well-established model of ambulatory care in many healthcare systems.
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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