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The phrase "a broadly accepted model" is correct and usable in written English.
It can be used when referring to a theoretical framework or concept that is widely recognized and endorsed within a particular field or discipline.
Example: "In the field of psychology, cognitive behavioral therapy is considered a broadly accepted model for treating anxiety disorders."
Alternatives: "a widely recognized framework" or "a generally accepted theory".
Exact(3)
Extensive genetic and molecular studies performed in several model plant species have led to a broadly accepted model of flower development based on the combinatory activity of three gene functions which determine floral organ identity, i.e. the ABC model [3], [4].
A broadly accepted model for the genetic architecture of complex disease is the common disease – common variant (CDCV) hypothesis.
The ABCE model, a broadly accepted model of flower development that was first proposed two decades ago, describes how the combinatorial activity of four classes of homeotic genes determines floral organ identity [ 1– 5].
Similar(57)
According to the more long-standing and broadly accepted model of mtDNA replication [ 41] (but see [ 42- 44]), and demonstrated for the few cases where it has been studied, replication of mtDNA is very slow and very asymmetrical, with one strand in single stranded form for a protracted period, so this may be an important factor in strand compositional bias.
Replanting native vegetation is a broadly accepted method for restoring degraded landscapes.
Currently molecular techniques are a broadly accepted tool for diagnosis and are able to benefit patients in clinical practice.
However, this is a broadly accepted assumption that does not always prove to be true.
Assessing the TBEV prevalence in ticks through detection of genomic RNA is a broadly accepted approach to estimate the transmission risk from a tick bite.
As a game designer, I suppose I could start from a broadly accepted view of "what a game is".
Choose a broadly accepted benchmark, and set a narrow goal to see whether and where you can meaningfully add value.
It was only after "toddler" became common shoppers' parlance that it evolved into a broadly accepted developmental stage.
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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