The phrase "an established function" is correct and usable in written English.
It can be used in contexts where you are referring to a function that is recognized, accepted, or has been in place for a significant amount of time.
Example: "In mathematics, an established function like the quadratic formula is essential for solving certain types of equations."
Alternatives: "a recognized function" or "a well-defined function".
In criminal court, defense lawyers have an established function that everyone understands, but in family court a parent's attorney who puts up a real fight is still a novelty.
In this "RNA first" model of RNP, an RNA molecule with an established function would recruit a protein to enhance activity.
Priority was given to genes that did not have an established function in Drosophila hematopoiesis.
This ambiguity generally does not alter the interpretation of the role a given candidate gene with an established function might play in disease pathology.
GATA proteins have an established function in locus control regions, directing tissue- and developmental-specific expression patterns of distal regions [ 75, 76].
Protein functions are annotated in genomic databases using automated routines that search for sequence homology to a gene product with an established function.
MEF2 has an established role in neuronal function and some studies reported its link to cancer.
Amongst the total of 349 genes displaying a sexually dimorphic effect in the small intestine and/or colon, several candidates exhibited a previously established function in the intestine (i.e. Nts, Nucb2, Alox5ap and Retnlγ).
Given that migratory capacity is crucial for tumor cell dissemination and that JAM-A has established functions in leukocyte migration [ 12], we sought to determine the contribution of JAM-A to breast cancer cell migration in vitro.
We thought that neither should be allowed back into Haiti until a newly established, functioning democratic government could make a decision itself".
Productisation has implications through having a complementary role amongst well established functions and in strengthening the linkage of market needs and engineering-oriented development.
